a bibliography of case studies in mathematical modeling...

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A Bibliography of Case Studies in Mathematical Modeling—Ecology, Physiology, and Cell Biology Nelson H. F. Beebe University of Utah Department of Mathematics, 110 LCB 155 S 1400 E RM 233 Salt Lake City, UT 84112-0090 USA Tel: +1 801 581 5254 FAX: +1 801 581 4148 E-mail: [email protected], [email protected], [email protected] (Internet) WWW URL: http://www.math.utah.edu/~beebe/ 14 October 2017 Version 1.22 Title word cross-reference + [393, 172, 190]. +2 [341]. 2+ [331, 280]. cdc2 [406, 276]. rum1 [406]. 3 [380, 284]. α [201]. β [563]. [216]. -Cells [563]. -gated [380]. -motoneurones [201]. -trisphosphate [380]. 17th [544]. 1991 [547]. 21st [515]. 24th [515]. 3 [296]. 5-hydydroxytryptophan [201]. 5-trisphophate-receptor-based [341]. 5-Trisphosphate [331, 310]. 5-trisphosphate-gated [317]. 5-trisphosphate-induced [253, 290, 280]. 6th [524]. 9th [524]. ability [114]. abnormality [212]. abnormally [415]. Absence [410]. abstract [303]. abundance [498]. across [498]. actin [382, 297, 313, 279, 159]. acting [406]. action [301, 241]. activate [306]. activating [79]. activation [379, 486, 276]. active [20]. activity [44, 226, 264]. actomyosin [261, 373]. actomyosin-S1 [373]. acute [201]. Adam [471]. Adaptation [543, 326, 485, 155, 506, 398]. adapting [92]. adaptive [468, 233]. adenosine [216]. ADP [241]. Advanced 1

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Page 1: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

A Bibliography of Case Studies in MathematicalModeling—Ecology, Physiology, and Cell Biology

Nelson H. F. BeebeUniversity of Utah

Department of Mathematics, 110 LCB155 S 1400 E RM 233

Salt Lake City, UT 84112-0090USA

Tel: +1 801 581 5254FAX: +1 801 581 4148

E-mail: [email protected], [email protected], [email protected] (Internet)WWW URL: http://www.math.utah.edu/~beebe/

14 October 2017Version 1.22

Title word cross-reference

+ [393, 172, 190]. +2 [341]. 2+ [331, 280]. cdc2

[406, 276]. rum1 [406]. 3 [380, 284]. α [201]. β[563]. • [216].

-Cells [563]. -gated [380]. -motoneurones[201]. -trisphosphate [380].

17th [544]. 1991 [547].

21st [515]. 24th [515].

3 [296].

5-hydydroxytryptophan [201].5-trisphophate-receptor-based [341].5-Trisphosphate [331, 310].

5-trisphosphate-gated [317].5-trisphosphate-induced [253, 290, 280].

6th [524].

9th [524].

ability [114]. abnormality [212].abnormally [415]. Absence [410].abstract [303]. abundance [498]. across[498]. actin [382, 297, 313, 279, 159]. acting[406]. action [301, 241]. activate [306].activating [79]. activation [379, 486, 276].active [20]. activity [44, 226, 264].actomyosin [261, 373]. actomyosin-S1[373]. acute [201]. Adam [471].Adaptation [543, 326, 485, 155, 506, 398].adapting [92]. adaptive [468, 233].adenosine [216]. ADP [241]. Advanced

1

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[75]. Advances [542]. Affairs [400].afferent [92]. after [201]. Age[570, 95, 421, 472, 324]. Age-Structured[95, 570]. aggregates[166, 199, 389, 432, 492, 282, 283, 319].aggregation [468]. aging [457]. agonist[328, 341]. agonist-stimulated [341].airway [401]. algae [511]. algal [150, 353].Algebra [56]. allele [129]. alleles [88, 388].alleviating [397]. allocation [324].alterations [50]. amoeba [1]. among[555, 487, 211, 74]. AMP [238]. analog[318]. Analysis[547, 223, 326, 52, 336, 251, 76, 403, 77, 185,360, 446, 111, 102, 243, 275, 452, 507, 371].Analytic [117]. analytical [369, 155].analyzed [43]. Anaphase [349]. Ancestral[387, 557]. ancestry [422]. anisotropic[53, 196]. annihilation [415, 299]. Annual[544]. anomalous [147]. antibody [331].aortic [394]. Aplysia [72, 264]. apnea [401].Appearance [165]. Application[265, 527, 320, 6]. Applications[27, 534, 362, 176, 517, 454]. Applied[433, 207, 248]. appositions [157].Approach [352, 397]. approaches [537].Approximation [527, 96, 91]. April [524].aquatic [305]. aqueous [385]. Arbacia [3].architecture [243, 394, 14]. area [385].Arnold [386]. Arrhythmia [192].arrhythmias [181]. Art [528]. Artificial[337, 70, 367]. aspect [154]. Aspects[158, 121]. assay [261]. assimilation[194, 316]. assisted [131, 151]. associated[350]. Association [400, 313]. asymmetry[210]. Asymptotic [76, 185, 243]. ATP[297, 241, 216, 159]. atrial [152, 283].attachment [51]. attainability [312].AUTO [163]. Automatic [401].autonomous [236]. axon [98, 20].

bacteria [425, 482]. bacterial [506]. bank[421, 513, 246]. based[254, 537, 289, 419, 332, 399, 507, 341, 398].

basis [442]. be [81, 311]. beating[166, 432, 492]. Bedside [532]. beg [191].beg-hedging [191]. Behavior[130, 117, 262, 348, 183, 492, 266, 41, 153].Behavioral [186, 352, 59]. behaviour [148].Bell [284]. Bell-shaped [284]. Bet [553].bets [244]. between [57, 296, 297, 101, 373].bi [84]. bi-domain [84]. biased [480, 481].biconvection [466, 467]. bidomain[348, 489, 490, 371, 455]. Bifurcation[127, 433, 362, 163, 102]. Bifurcations[48, 128, 294, 465, 136, 181, 386, 108, 115,237, 138]. Bilateral [397]. bilayer[224, 385, 91, 171]. bilayers [94, 197].bileaflet [151]. binding [373].Bioconvection [569, 511, 230, 214].biofluid [365]. Biogeography [28].Biological [546, 40, 81, 542, 52, 309, 33, 104,136, 115, 118, 447, 367, 21]. Biology[377, 125, 534, 544, 551, 558, 434, 239, 531,573, 520, 522, 538, 219, 400, 229, 42].Biomass [556]. Biomechanics [302].Biotic [541, 477]. Biphasic [453, 375].Bistability [201]. bistable [320]. bivalve[189]. Block [331, 274]. Blood [414]. Body[114]. boundary [390]. boundedness [225].brain [503, 396]. breakdown[224, 165, 197, 91, 171]. Breaks [192].breeding [502]. bridge [51, 148, 364, 159].bridges [65]. Bruno [524]. budget [189].Buffalo [515]. bundle [157]. Bursting[492, 72]. butterfly [151].

C [84]. Ca [380, 331, 280, 341]. Ca-induced[289]. cable [77]. cadmium [82]. Calcium[545, 286, 255, 290, 296, 304, 245, 563, 253,284, 380, 287, 79, 323, 203, 488, 299, 329,210, 361, 310, 452, 311, 174, 399, 454, 507,314, 175]. calcium-gated [284].calcium-response [284]. Calculations [91].can [81, 311]. Canada [544]. canine[196, 231, 34]. capacitance [385].Capacitive [413]. captive [502]. Carbon[189]. Cardiac [567, 101, 335, 340, 192, 532,

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322, 257, 127, 181, 108, 115, 348, 486, 301,170, 501, 274, 275, 453, 157, 399, 74].cardiomyocyte [461]. Cardiovascular[519]. Cascade [344]. Case [555, 573]. cat[201]. catheter [339]. cations [380]. caused[512]. Causes [292]. causing [213]. cdc}2[173]. cdc}25 [172]. Cell[377, 134, 558, 434, 561, 531, 525, 573, 560,532, 219, 379, 94, 468, 78, 166, 199, 54, 389,391, 432, 492, 42, 393, 357, 63, 111, 112, 36,173, 157, 456, 510, 461, 282, 283, 319]. Cells[563, 108, 203, 150, 168, 351, 37, 311, 463].Cellular [520, 453]. cerebellar [67].cerebellum [284, 380, 317]. cerevisiae}[112]. chain [303]. Change [541, 385, 356].Changes [8, 179, 351, 512]. changing[403, 242]. channel [507]. channels[284, 380, 399, 317]. Chaos[198, 322, 127, 115, 69, 440, 272, 396].Chaotic [162, 483, 183]. Chapter [277].characteristic [212]. Characterization[245, 216]. Checkpoints [456]. Chemical[526, 510]. chemicals [226]. Chemostat[451]. chemotactic [425]. Chemotaxis[43, 205, 506]. chick [389, 432, 492, 319].chip [413]. Chlamydomonas[466, 467, 229]. chloride [210].chromosome [410, 427, 458].chromosomes [422]. Chronic [67, 82, 397].ciliate [50]. circle [379, 254]. Circuits[264]. circus [257]. cladocera[179, 114, 132]. clamp [367, 368]. clamping[21]. classification [181]. cleavage [126].Climate [541]. Clinical [350]. Clocks[198, 118]. Clonal [99, 179, 324]. Closed[156, 193, 185, 441, 374]. Closed-loop[156, 441, 374]. Closing [379]. closure [152].Co [149]. Co-operative [149]. coagonist[290]. coalescence [508]. coalescent [298].Coalescents [409]. coastal [189]. code[412, 392]. coeruleus [50]. Coexistence[89, 142, 105, 99]. coli} [43, 354]. collection[504]. collective [137, 168]. combined[340]. Combining [332]. common [422].

Communication [53]. communities[537, 300]. community [90]. comparative[395]. comparison [3]. competing [353].Competition [419, 451, 225, 381, 90].Competitive [93, 105, 114]. Complex[405, 209, 237, 269, 282, 117]. Compliance[424]. comprehensive [229, 360].computation [283]. Computational[365, 137]. Computer[65, 131, 151, 368, 206, 152, 447].Computer-assisted [131, 151].Computer-generated [368]. Computing[528]. concentration [194, 425, 316, 341].concentrative [149]. concept [33].concepts [517, 295]. conditional [59].conditions [87, 390, 218]. conductance[317]. conductances [367, 368].conduction [6, 380]. conductor [202, 185].Conference [530, 544, 524]. conflict [164].consensual [13]. consequences [7, 147].conservation [502]. conservatism [484].considerations [514]. constant [374].constants [2, 5, 38, 373]. constraints [484].constriction [270]. constructed [264].Construction [223]. contaminant [459].contaminants [499]. continuation [163].continuum [273]. contracting [382].Contraction[343, 158, 11, 161, 55, 8, 12, 51, 148].Control [78, 29, 98, 561, 562, 193, 401, 86,414, 87, 54, 429, 69, 41, 360, 446, 63, 271,156, 172, 173, 143, 281]. controlled [361].Controlling [322, 440, 272, 396].convection [22]. copepodology [246].copepods [260]. core [185].core-conductor [185]. cortical [392].couplage [11]. coupled [318]. Coupling[220, 261]. Course [62]. covariance [505].Cracking [412]. created [160]. creating[491]. critical [85, 165, 266]. critique [370].Croonian [285]. Cross[148, 65, 8, 51, 364, 159]. Cross-bridge[148, 51, 364, 159]. cross-bridges [65].cross-striations [8]. Crossbridge

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[565, 241, 216]. crustacea [179, 132].crustacean [5, 246]. cultivation [189].cultures [17]. Current [547, 32, 6, 275].currents [170]. curve [81, 31]. curves[284, 109, 72, 342]. cutaneous [339]. Cycle[525, 560, 379, 134, 386, 54, 109, 42, 393, 357,111, 112, 173, 456, 510, 159]. Cycles [566].Cyclic [187, 238]. Cyclin[126, 445, 276, 379]. cycling [212, 270].cyclins [379]. Cytoplasmic[41, 134, 203, 175]. cytosolic [245, 310].

D [84]. D-C [84]. damped [405]. Daphnia[194, 179, 17, 324, 99, 82, 267, 132, 504, 10,218, 316, 259, 122]. Data[443, 557, 363, 508]. deaths [213]. decade[167]. December [547]. decerebrate [201].Deep [503]. defibrillate [501].defibrillating [170]. defibrillation[160, 195, 202, 288, 486, 206, 430, 101, 32,275, 340, 375, 462]. defibrillation-strength[462]. deformations [516]. degenerative[457]. Delay [527, 320, 146, 263, 492, 235,236, 355, 440, 496]. delay-differential[235, 236, 440]. Delayed[562, 405, 474, 475, 183, 209, 269]. delivery[441]. Demographic [484]. Demography[428, 476]. demyelinative [212]. densities[291, 211, 279]. dependence [439, 220].dependent [70]. Depolarization [301, 288].depth [230]. Derivation [489]. descent[96]. describing [84]. description [6].design [131, 151, 441]. destroyed [126].destruction [117]. destructive [445].detective [460]. Determination [363].determines [394]. Deterministic [207].development [3, 425]. devices [437].diabetes [70]. diapause [372]. diapausing[421]. diastole [34]. Dictyostelium[155, 468, 238, 398]. did [460]. difference[465, 262]. differences [66, 324].Differential [251, 49, 124, 407, 534, 347, 116,56, 184, 571, 572, 308, 176, 465, 163, 97, 146,262, 263, 4, 235, 236, 355, 440, 496, 102, 248].

differential-delay [146].differential-difference [465, 262]. differing[364]. Diffusion [518, 96, 91]. dilation[270]. Dimensional [192, 43, 53, 196, 323,231, 183, 206, 265, 303, 83, 339, 371].dimensions [287]. dimorphisms [164].diode [320]. Direct [486]. Directional [66].disc [131]. discharges [92]. discoideum[468, 238, 155, 398]. Discontinuities[135, 170]. Discontinuous [29, 254].discrete [468]. disease [325, 479, 426, 457].Diseases [417]. Disorder [529, 180].dispersal [483, 300, 330, 242]. dispersion[491]. dissociation [313]. distance[297, 159]. Distemper [555, 487]. distinct[153]. Distribution [231, 147, 265, 32, 449].distributions [88, 275]. divalent [380].diversity [472, 477]. division[126, 78, 86, 54, 63, 143]. DNA[178, 50, 36, 133, 508, 557, 457]. do[221, 306]. does [416, 485, 501]. dog[152, 14]. dogs [160, 375]. domain [84].domains [33]. Dormancy [411]. doubling[108, 115]. Down [192, 493]. drift [68].driven [115]. drug [441]. duration[288, 423]. durch [1]. during [414, 8, 51,148, 351, 492, 41, 34, 340, 159, 319, 462, 463].Dynamic [48, 554, 438, 441, 368, 320, 259, 2,153, 215, 367]. Dynamical[252, 27, 162, 128, 56, 100, 308, 312].Dynamics [249, 519, 546, 293, 294, 232, 169,556, 568, 549, 451, 278, 315, 192, 378, 220,254, 405, 134, 108, 295, 117, 147, 483, 168,389, 139, 82, 268, 121, 237, 269, 498, 305, 307,361, 335, 365, 113, 504, 395, 10, 399, 507].dysrhythmias [115].

each [126]. ear [437]. early [208]. eastern[325]. Ecological [549, 200, 428]. ecologist[246]. Ecology [552, 402, 548, 417, 186, 352,573, 179, 345, 537, 259, 497]. ecosystem[366, 395]. ecosystems [537]. edibility[234]. edible [419]. edulis} [226, 459].Effect [255, 170, 218, 316, 280, 57, 194, 226,

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477, 23, 321]. Effective [390]. Effects[378, 430, 152, 24, 324, 234, 240, 241, 455, 218].efficiencies [316]. efficiency [57]. egg[79, 421, 513]. eggs[126, 134, 421, 3, 331, 306, 174]. elastic[516]. Electric [567, 91, 94, 469, 165, 351,206, 391, 491, 501, 37]. Electrical[224, 38, 195, 197, 348, 5, 429, 171, 337].electrically [282]. electrocardiogram [80].Electrochemical [192]. electrode [455].electrodes [160, 101, 32, 339].Electrofusion [531]. electronic [437].Electrophysiology [532]. electroporating[431, 455]. Electroporation[469, 531, 385, 430]. electrostimulation[397]. element [305, 275]. Elementary[249]. Elements [433]. Elevations [255].embryonic [166, 389, 283, 319]. embryos[360]. EMBS [544]. Empirical [293].encodes [173]. encoding [258, 190, 454].end [479, 445]. endogenous [72].endoplasmic [284]. endothelial [203].Energetic [158]. energetique [11]. Energy[324, 114, 261]. Engineering [534, 544].Engineers [75]. enrichment [419].enrichment-nutrient-based [419].Entrainment [566, 500, 115, 350].Environment[46, 403, 25, 383, 256, 388, 89, 242, 449].Environmental [105, 472, 21, 372, 356].Environments [553, 278, 315, 543, 321, 381,145, 420, 167, 147, 268, 438, 439, 495, 330].Epicardial [375, 160]. Epidemic [443, 423].Epidemics [464, 555, 470, 423, 479].epilepsy [67, 59, 281]. Epistatic [86].epithelial [37]. Epizootiology [325].equation [465, 262, 263]. Equations[251, 49, 124, 407, 534, 347, 116, 56, 184, 571,527, 572, 308, 176, 222, 85, 163, 97, 146, 4,235, 236, 355, 440, 496, 102, 248].equilibrium [476, 394]. Ersatz [1].Escheria [43]. Escherichia [354]. ESS[145, 312]. estimation [279]. Euglena [493].Eukaryotic [560]. Evaluation [270, 70].

Eve [400, 370, 460]. events [208]. evoked[203]. Evolution[552, 321, 177, 403, 95, 256, 292, 554, 356, 336,338, 538, 319, 285, 404, 178, 197, 416, 326,484, 514, 427, 428, 119, 68, 330, 242, 217, 457].evolutionarily [449]. Evolutionary[221, 402, 352, 354, 300, 133, 247, 345, 106,484, 244, 312, 460]. Exact [88, 303].examination [485]. Exchangeability[119, 524]. excitability [329]. Excitable[536, 250, 346, 500, 307, 369, 454].excitation [30, 196, 6, 274, 453, 506, 461].excitatory [130]. exclusion [93]. exhibit[264]. exogenous [70]. expansion [180].Experiment [432]. Experimental[542, 350, 90, 374]. experimentelle [1].Experiments [40, 135]. explained [311].explorations [345]. exponents [180].external [391]. extinction[403, 416, 479, 356]. Extracellular[196, 265]. extracts [360].

factor [134, 349, 208, 510]. familiar [485].Fathers [427]. favors [483]. Feedback[40, 562, 193, 405, 296, 182, 183, 209, 269, 441].feeder [132]. feeding [226, 189].fertilization [174]. fertilized [331]. FES[193]. Fiber [243, 34, 394, 83].Fiber-architecture [243]. fibers[26, 424, 216, 373]. fibre [5]. fibres [297, 9].Fibroblasts [296]. field[94, 160, 196, 351, 391, 501, 453]. Fields[128, 567, 202, 469, 206, 339, 340]. filament[55, 159]. filaments [297, 424]. filling [152].filter [132]. final [470, 521]. Finetti [524].Finite [275, 230, 303, 133]. firing [98]. First[62, 355]. first-order [355]. Fisher [96].fission [78, 86, 446, 172, 173]. fitness[404, 132]. Fixed [386, 492, 448]. fjord [366].fjords [395]. flat [37]. Fluctuating[553, 260, 383, 473, 438, 439, 495, 505].fluctuations [472]. Fluid[249, 539, 546, 121, 568, 168, 335]. fluids[447]. focusing [150]. following [50]. food

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[194, 324, 267, 218, 316]. force[408, 39, 61, 444]. forced[250, 136, 138, 307, 454]. forces [384].forcing [386]. form [17, 185]. formalism[55]. Formation [542, 58, 197, 482, 310].fortgesetzte [1]. fotpflanzung [1].foundations [303]. four [287, 395]. fractal[394]. free [79, 175]. Frequency[454, 258, 439]. Freshwater [509, 260, 246].frog [77, 41, 216]. Frontiers [548, 497].function [235]. Functional [347, 132, 429].functions [172]. fundamental [326]. Fura[245]. Fura-2-loaded [245]. fusion [36].

G [398]. G-protein-based [398]. G1[379, 393]. G2 [379]. gain [235]. galeata[82, 218, 316]. games [312]. gated[284, 380, 317]. Gaussian [204]. Gene[298, 86, 327, 393, 190, 173]. Genealogical[228, 409, 418]. Genealogical-tree [228].genealogies [298, 327]. Genealogy[120, 141]. general [447]. generalist [132].generality [332]. generated [368, 339, 340].generating [65, 327]. Generation[296, 115, 39]. generations[383, 473, 477, 505]. Genetic [54, 167, 63,403, 383, 472, 473, 68, 442, 505, 370, 217].Genetical [15, 64]. Genetics[221, 35, 530, 107, 227, 523, 333, 111, 387].Genostasis [285]. Geometrical [124].Geometry [157, 104]. Germination[164, 145]. Global [136, 541, 138, 386].globus [426]. goes [302]. graded [137].gradient [160, 339, 340]. Gradients[545, 425, 101]. grazing [353]. gross [50].Group [521]. Growth[230, 267, 122, 17, 259, 242, 214, 218, 459].guide [229]. guinea [512]. gyrotactic[230, 214, 273].

habitat [321, 147]. hamster [331]. haploid[141]. harbor [487]. harbour [113].harmonic [405]. head [444]. heads [382].hearing [437]. Heart [568, 195, 66, 288, 166,

199, 389, 432, 492, 80, 394, 38, 282, 283, 319].heartbeat [415]. hearts [14, 462]. heat[2, 23]. heavy [279]. Hedging [244, 191].held [547, 546, 515]. help [106].Hematopoietic [561]. Hemispheric [210].hepatocyte [286]. Hepatocytes[245, 310, 314, 175]. herbivore [305].herbivorous [494]. herbivory [419]. herds[470]. heterogeneous [321, 167, 326]. High[183, 94]. Hilbert [97]. histamine [203].Histories [336, 338, 495]. History[345, 553, 7, 504]. Hodgkin [85]. hog [14].homeostasis [70]. homogeneous [32, 103].Homogenization [359]. homolog [190].honour [524]. hopf [102]. Hormone[311, 175]. Hormone-induced [311].hormone-stimulated [175]. Human[529, 400, 178, 410, 422, 203, 427, 209, 236,16, 457, 458]. hump [31]. Huxley [85].hybrid [320, 318]. Hydrid [193].Hydrodynamic [144, 150, 334].hydrolysed [297]. hydrolysis [373, 159].hydrophobic [226].hydydroxytryptophan [201]. hypotheses[498]. hypothesis [370].

Identification [213]. identified [264].IEEE [544]. II [265, 490, 558, 155, 91]. III[564]. Illinois [547]. immigration [485].implantable [437]. Implications [326].Implicit [439]. importance [200]. impulse[66, 73]. Impulses [19]. inactivation [349].including [102]. incompressible [222].incorporating [193]. increasing [61].independent [310]. Individual[537, 168, 332, 413, 240, 499, 504].Individual-based [537, 332]. individuals[504]. Individuen [1]. induce [453].Induced [245, 253, 469, 289, 290, 258, 430,311, 280, 159, 342]. inducer [172]. inedible[419]. infarction [350]. infection [408].Infectious [417, 479]. Inference [557, 387].Inferring [508]. infinite [88]. infinitely[228, 418]. infinitely-many-sites [228, 418].

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influence [485, 92]. Information[515, 440, 33]. inhibition [110, 139, 92].inhibitor [406]. inhibitory [72]. initiated[379, 349]. initiating [369]. Initiation [47].inlet [189]. inner [437]. Inositol [253, 380,255, 331, 317, 290, 210, 310, 174, 280, 341].input [24, 72]. Ins [284]. Insight [235, 117].Insights [448]. InsP [380]. Instabilities[346, 87]. insulin [70]. insulin-dependent[70]. intact [360]. intensive [189].interacting [447]. Interaction [567, 301].Interactions [541, 86, 491, 234].Interannual [200]. intercellular [231].interconnecting [318]. Interference[9, 57]. internal [206]. International[530, 544, 524, 527]. interpenetrating [33].Interpretation [223, 8]. intracardiac [339].Intracellular [255, 329, 208, 371].intragenic [129]. intraluminal [380].intravenous [201]. Introduction[252, 539, 35, 162, 107, 227, 347, 186, 333,572, 538, 176, 251, 357]. Invariants [345].Invasibility [225]. investigate [364].Investigations [293]. Ionic [389].ip-controlled [361]. ip-sensitive [507].IRIS [215]. Irregular [212, 108, 182].irregularity [110]. ischemic [84]. Island[28]. Isochrons [60]. isolated [461].isometric [26].

Jedi [435]. July [546]. junction [413].junctional [37]. junctions [231, 371].

Kin [106, 439]. kinase [406, 190, 173].Kinetic [313, 363, 510]. Kinetics[373, 364, 399]. know [221]. kurz [10].

laboratory [229]. laevis} [299, 134, 329].Lakes [344, 291, 211]. landscapes [326].Large [516, 120, 320, 469, 119]. laser [320].later [167]. latipes [79]. layer [230].leaflets [394]. learning [429]. Lecture[285]. Leeds [546]. left [243, 34, 83]. length[26]. level [240]. levels [464, 498, 459]. Life

[345, 553, 198, 336, 338, 7, 267, 495, 504].Life-History [553, 504]. lifetime [91]. light[209, 235, 236, 266, 496, 157, 13]. like [137].Limit [566, 386, 109]. limitation [324].Limitations [490]. limits [285]. line [20].Linear [56, 4, 303]. liner [482]. Lines [96].linked [123]. linking [240]. lipid[94, 224, 197, 91]. little [221]. live [460].liver [311]. living [9]. load [23]. loaded[245]. local [485]. localized [253]. location[392]. locked [199]. locking[108, 115, 118, 283]. Locomotion [140, 429].locus [410, 71]. loop[193, 130, 441, 156, 374]. loops [474, 475].loss [437]. lottery [105]. low [267, 37, 279].LV [152]. Lyapounov [180].

M [134, 360, 271, 216, 510]. M-phase[271, 510, 360]. M-phase-specific [134].Machine [429]. Macroscopic [431, 170].magna} [194, 179, 324, 132]. maintained[473, 505]. maintaining [383, 374].maintenance [472, 477, 300]. major[479, 423]. mammal [521]. Mammalian[36, 66, 83, 38]. Mammals [547, 521]. Man[45, 374]. Management [540, 502].Mannheim [527]. many [228, 418].mapping [375]. maps [254]. Marine[547, 521, 509]. maternal [126].Mathematical [75, 539, 30, 561, 239, 573,565, 52, 520, 560, 115, 121, 154, 37].Mathematics [207, 248]. Matrices[18, 180]. Matrix [223]. maturation[349, 208, 41]. maturation-promoting[349, 208]. may [51]. measurement [194].Measurements [466, 351, 270, 462].Mechanical [394, 363]. Mechanics[539, 565, 384, 517]. mechanism[224, 161, 469, 39, 271]. Mechanisms[195, 540, 452, 538, 560, 389, 329].Mechanochemical [261]. medaka [79].Media [536, 346, 500, 103]. Medical [535].Medicine [544]. medium [369]. meeting[546]. meiotic [41]. Membrane

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[563, 19, 98, 6, 431, 91, 455]. membranes[94, 224, 385, 91, 171, 37]. memory[320, 376]. mendotae} [82]. meromyosin[279]. Messenger [559, 205].Metapopulation [293, 295]. method[222, 447]. Methods [124, 75, 97, 73]. Mg[280]. micro[58, 230, 480, 481, 149, 214, 273, 334].micro-organisms[58, 230, 480, 481, 149, 214, 273, 334].Microbial [525, 451]. microbiology [523].microscopic [170]. microscopy [9, 157].Middle [437]. migration [321, 233].Minimal [258]. Minimum [478].Mitochondrial [178, 457]. mitosis[379, 406, 358, 445, 36, 190, 47]. mitotic[406, 208, 446, 172]. mitral[121, 131, 151, 152]. Mixed[182, 420, 209, 269]. mixing [464].mobilization [253]. Model[53, 40, 202, 382, 468, 289, 323, 258, 88, 228,418, 115, 259, 98, 348, 55, 480, 481, 129, 205,206, 185, 431, 489, 490, 353, 301, 121, 360, 446,155, 361, 122, 241, 242, 273, 274, 366, 32, 37,453, 311, 506, 398, 399, 371, 455, 84, 341, 376].modeler [456]. Modeling[567, 496, 573, 565]. Modelling[487, 236, 309, 408]. Models[570, 223, 555, 561, 443, 499, 520, 509, 560,225, 44, 537, 19, 30, 291, 96, 419, 295, 204,211, 494, 303, 332, 240, 507, 247, 217, 64].modes [320, 263]. modified [82].Molecular [219, 377, 292, 329, 434, 520, 522,538, 442, 446, 400]. molecule [384, 297].Molecules [560]. molluscs [189].monitoring [461]. monophasic [453, 375].monotonic [225]. Montreal [544].mortality [267]. motile [150].motoneurones [201]. Motor [302, 450].Movement [444, 65, 257, 261, 156, 279].mRNA [126]. multiple [264, 300, 317].multisite [461]. Multispecies [381].Multistability [474, 562, 405, 475, 355].Multitude [262]. Muscle

[343, 12, 567, 565, 158, 66, 161, 382, 26, 297,424, 2, 23, 55, 8, 9, 39, 51, 148, 61, 156, 501,216, 157, 38, 373, 374, 512]. Muscles [140].musculaire [11]. muscular [14]. mussels[226, 459]. Mutant [123]. mutants [78].Mutual [57, 106]. myocardial [84, 463].myocardium [77, 196, 231, 265]. myocytes[399]. Myosin [450, 382, 384, 297, 444, 363,216, 313, 279, 159]. myth [400]. Mytilus[226, 459].

nanometre [384]. Natural[15, 417, 68, 207, 179, 416, 442]. Navier[222]. Negative [190, 405]. neocortical[436]. nerve [19, 30, 5, 6, 20, 73, 281].nervous [515]. nested [141]. net [218].network [318, 376]. networks[137, 269, 337]. Neural [137, 269].neuroelectric [44]. neurology [237].neuron [413, 130, 318]. Neuronal[254, 412]. neurons[137, 264, 436, 392, 24, 72, 367, 368].neurooscillator [98]. neuropathy [212].Neurosurgery [550]. neutral[88, 96, 388, 129]. neutrality [409]. next[379]. niche [484]. Niches[554, 326, 428, 142]. Noise[475, 266, 269, 16]. Non [204, 103, 3, 4].Non-Gaussian [204]. Non-homogeneous[103]. non-linear [4]. non-nucleate [3].Nonlinear [518, 128, 536, 232, 184, 251, 465,262, 263, 138, 389, 236, 355]. normal [80].North [459, 325]. note [51]. nuclear[41, 143]. nucleate [3]. nucleocytoplasmic[50]. nucleoside [373]. nucleotide [123].nucleotides [364]. Null [85]. number [64].Numerical [360, 528, 155, 369, 73].nutrient [419, 498]. nutrients [268].

observations [295]. observed [323].obstructive [401]. obtusa} [10]. October[515, 527]. offspring [164]. olivary [318].One [71, 371, 244, 311, 247, 159]. One- [71].One-dimensional [371]. one-parameter

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[247]. onset [235, 266, 271]. oocyte [360].oocytes[253, 255, 287, 134, 323, 299, 329, 210, 41].operations [414]. operative [149]. optic[212]. Optical [288, 351, 461, 462]. Optimal[411, 29, 420, 495, 147]. optimization [438].Optimizing [25]. order[465, 222, 262, 263, 4, 355]. orders [406].Ordinary[251, 49, 124, 116, 184, 571, 163, 102].organic [226]. organisms[58, 230, 480, 481, 149, 214, 273, 334].organization [386, 314]. organs [92].orientation [34, 83]. origin [200]. origins[400]. orthosis [193]. Oryzias [79].Oscillating [255]. Oscillation[320, 465, 69, 235, 266, 331]. Oscillations[545, 526, 128, 296, 562, 361, 245, 563, 289,258, 182, 328, 209, 236, 238, 154, 452, 311,16, 454, 341]. Oscillator[286, 405, 127, 136, 386, 115, 138].Oscillators [52, 115, 81, 109, 72, 318].Oscillatory [263, 529, 310, 262, 337].outbreak [479]. outbreaks [423]. outcome[234]. Overdrive [432, 74, 282].Overlapping [477, 383, 473, 505].oxytactic [482].

P [284]. p25 [406]. p34 [406, 276].Pacemaker [24, 110]. pacemakers [74].pain [503, 374]. paired [342].Paleopopulation [538]. pallidum [397].pallidus [426]. pancreas [70]. Pancreatic[563]. panoramic [392]. papillary [512].paradigm [182, 485, 187]. paradox [99].parameter [247]. parasites [57]. parent[164]. parent-offspring [164]. Parkinson[426]. parkinsonian [397]. Part[552, 55, 265, 489, 490, 558, 564, 174, 155].Partial [407, 97, 572, 176, 248, 437]. patch[147, 339]. Pathological [87]. pathway[78, 448]. patients [212]. Pattern[58, 482, 542, 466, 467]. Patterns[473, 323, 230, 264, 214]. PDV [487, 378].

Penetrative [22]. perfused [462]. period[288, 108, 115]. Periodic[386, 76, 185, 265, 371, 319]. periodically[127, 136, 108, 115, 199, 138, 500].persistent [264]. persists [379].Perspective [404, 554, 456]. Perspectives[232]. Phase [257, 566, 108, 115, 166, 199,118, 40, 406, 134, 135, 81, 109, 393, 360, 102,283, 342, 72, 271, 510]. phase-resetting[135]. Phase-response [72]. Phase-Shift[40]. phaseless [60]. phenomena[7, 149, 334, 461]. Phenomenology [224].phenotype [449]. Phenotypic[177, 513, 204, 68]. Phenylephrine [245].Phocine [555, 487]. phosphorylation[258, 173]. Photic [277]. photoreceptors[488]. phototactic [511]. Physarum[47, 143]. Physics [534]. physiological[19, 87, 259, 69, 121]. Physiologically[169, 303]. Physiology [535, 573, 564]. Pi[241]. PicoNewton [384]. pig [512].pivoting [131]. pivoting-disc [131]. place[51]. Plaines [547]. planar [385]. Plane[48, 102]. Plankton [498, 291, 211, 187].planktonic [99, 153]. plant[300, 305, 142, 246]. plant-herbivore [305].plants [419]. played [174]. points [386].polycephalum} [47, 143]. polygenic [217].polymorphism [410, 473, 167]. pool[311, 341]. poor [268]. Population[223, 35, 411, 548, 147, 554, 82, 333, 305, 113,549, 10, 278, 315, 509, 217, 378, 179, 7, 17,387, 260, 478, 483, 494, 497, 240, 499, 242,504, 141, 133]. Populations[95, 46, 417, 120, 169, 556, 309, 537, 408, 472,476, 428, 119, 353, 187, 495, 303, 442]. pore[385]. pore-pore [385]. pores [197].position [151]. positive [296]. Potential[265, 563, 160, 469, 351, 430, 491, 101, 301,339, 340, 462, 463, 512]. potentially [173].potentials [84]. Practices [547].Predation [90, 200]. Predator[268, 220, 353]. Predator-prey[268, 220, 353]. predators [57, 234].

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Predicted [40]. Prediction [17].Predictions [385]. premature [491].Presence [317]. pressure [401, 414].Presynaptic [110]. prevent [416]. prey[220, 353, 268, 31]. probabilities [228, 418].probability [479, 524]. problem [408].Problems [207, 163, 517]. Proceedings[546, 544, 524, 515, 547]. process [298].Processes [536, 62]. processing [515, 33].produced [444]. production[117, 218, 316]. productivity [234].Products [18, 180]. Professor [524].Profile [450]. programmes [502].progression [393]. projection [222].prolong [288]. promotes [105]. promoting[349, 208, 510]. propagating [346].propagation [30, 299, 500, 73, 369, 174].Properties [129, 380, 77, 146, 137, 373, 289].Proposed [39]. prosthetic [131]. Protein[450, 126, 258, 190, 173, 398]. Proteins[450, 302]. proteolysis [379, 349]. proteus[1]. protozoen [1]. protozoen-Individuen[1]. pulex} [17, 99, 267, 504]. pulse[346, 20]. pulsed [72]. pumped [320].punctulata [3]. Pupil[21, 235, 236, 266, 212, 270, 496, 13, 16].pupillary [215]. Purification [208].

Qualitative [571, 102]. Quantitative[221, 226, 530, 107, 227, 446, 505, 403, 6, 204,442, 171, 452]. quantitative-genetic [403].quantum [302].

rabbit [288, 424, 216, 462]. Random[125, 18, 180, 480, 481, 68, 449]. randomly[25, 145]. range [94]. rapid [415, 210].rapidly [382]. Rarity [514, 551]. rate[226, 373]. rather [349]. ratio [50, 220].Ratio-dependence [220]. re [485].re-examination [485]. reacting [154]. real[368]. reanalysis [370]. receptor[331, 92, 341]. Recipes [528].recombination [129, 64]. recording [215].recordings [288]. recticulum [284].

Recurrent [92, 474, 475, 139, 130].recycling [305]. reentrant [415, 500].Reentry [448, 257, 274]. Reflections [555].Reflex [59, 209, 235, 236, 266, 496, 215, 13].Reflexes [140, 59]. refractory [288].regenerationen [1]. regular [182].Regularly [24]. regulated [173].regulating [271]. Regulation[488, 393, 280, 380, 36, 190, 510]. regulator[208]. Rehabilitation [547, 502]. Relating[504, 499]. Relation [443, 189].relationship [74, 373]. relationships[226, 133]. Relaxation [94]. relay [155].Release [547, 382, 289, 290, 502, 280].Reliablity [436]. relief [503]. remarks[291]. Repetitive [203, 73, 175, 98].Replication [561]. repolarization[301, 453]. report [521]. Representations[556, 303]. reproduces [323]. reproduction[25, 259, 267, 218]. required [196]. Rescue[547]. reserves [114]. Resetting[415, 566, 350, 257, 135, 166]. resistive [37].resonance [250]. Resource [234].respiration [194]. Response [391, 284, 260,81, 109, 354, 356, 499, 72, 170, 132, 342].Responses [463, 137, 210]. resulting[87, 282]. results [155, 73]. Return [435].reveal [78]. Reversible [197, 165, 171].revisited [244]. Rhythmogenesis [318].Rhythms [198, 40, 199, 282, 319]. rich[268]. ring [346, 500]. rises [175]. rod [488].Role [383, 491]. roles [328]. Rome [524].rules [324]. rum}1 [393]. ryanodine [399].ryanodine-sensitive [399].

S [406]. S-phase [406]. S1 [373].Saccharomyces [112, 522]. Sampling[388, 88]. sarcomere [26]. saturation [469].Sciences [207]. Scientific [528]. Scientists[75]. Scope [459]. Sea[521, 459, 126, 174, 325, 521, 113]. seal[325, 213, 113]. Seals [555, 378, 487, 502].searching [57]. Seasonal [46, 200]. Second[530, 559, 465, 222, 78, 262, 263, 205, 4].

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second-messenger [205]. second-order[222, 263]. section [521]. sediment [421].seed [164, 246]. segregating [64].Selection[15, 71, 473, 106, 416, 260, 68, 439, 505, 247].senescence [484]. sensitive [399, 507].sensitivity [488]. Sensory [533, 193].separate [218]. separation [385].September [544]. Sequence [557, 458, 508].sequences [133]. sequential [340]. series[373]. servoanalytical [13].servomchanism [21]. servomechanism[16]. sets [60]. shaped [284]. Shift [40].shock [463]. shocks[288, 430, 491, 453, 340, 375, 462, 512].short [376]. short-term [376]. shortening[2, 23, 61]. show [288]. shown [153]. Signal[289, 559, 258, 155]. Signal-induced[289, 258]. signalling [468, 287, 314].significance [233]. Silicon [413].Silicon-neuron [413]. similar [142].Simple [211, 556, 146, 269, 311].Simplification [507]. Simulating [348, 20].Simulation [80, 188, 65, 447, 366].simulations [448]. Simultaneous [194].since [471]. Single [384, 295, 245, 391, 130,444, 153, 340, 341, 342]. single-pool [341].Single-species [295]. Singularities [40].sink [428]. sites [228, 418, 64, 123]. size[408, 470, 78, 114, 478, 63, 363, 279].skeletal [424, 156, 216]. skinned [297, 424].sleep [401]. Sliding [297, 159, 55, 279].slow [279]. slowly [92]. slowly-adapting[92]. Smooth [100]. Society [544].Software [163]. Solution [355, 185, 373].Some [291, 147, 514, 345]. sons [427].sound [392]. source [428]. source-sink[428]. Sourcebook [229]. Space[309, 549, 85, 97]. spaced [24]. Spatial[314, 491]. spatially [330]. specialization[321]. Specie [554]. species [114, 295, 142].specific [134]. specified [126]. speeds [61].sperm [306]. spike [436]. spikes [203].spiking [304, 376]. spinal [201]. Spiral

[299]. spontaneously [166, 432, 492].spread [66, 487]. squid [98]. Stability[27, 144, 16, 106, 300, 247]. stable [187, 449].stage [472]. stage-structured [472]. stages[51]. State [515, 137, 109, 91]. states[19, 317]. Statistical [517]. statistics [524].steady [109, 91]. steady-state [91].Stentor [50]. step [363, 279]. steps [384].stiffness [61]. stimulated[127, 108, 199, 328, 500, 310, 175, 341, 282].stimulating [170]. Stimulation [426, 215,67, 413, 351, 429, 265, 492, 503, 281, 319].stimuli [342]. Stochastic[44, 146, 423, 479, 62, 188, 543, 225, 420].Stokes [222]. stopped [81]. storage [477].store [440]. story [460]. strategic [366].Strategies [411, 553, 145, 420]. straus[194]. strength [288, 462]. stress [354, 82].stretch [8, 92]. striated [55, 39]. striations[8]. Strong [567, 106]. structural [8].Structure[443, 250, 179, 226, 409, 231, 12, 90].structure-activity [226]. Structured[95, 411, 494, 169, 240, 556, 509, 570, 472,476, 495, 303]. Structured-Population[509]. structures [76]. Studies[573, 94, 261, 350, 152, 80, 36, 313]. study[202, 81, 90, 274, 395, 13, 369]. subfragment[313]. subsamples [141]. substitutions[123]. suggesting [51]. supplement [37].suppression [432, 74, 282]. surgical [414].survivorship [421]. suspension[466, 467, 58, 230, 425, 214, 189, 511].suspensions [482, 238, 273, 334].swimming [58, 480, 481, 149, 168, 334].symmetry [345]. symposium [515, 527].symptoms [397]. synapses [337]. synaptic[24, 72]. synchronous [47]. syncytial[390, 359]. syncytium [53]. synthesis[50, 36]. System[519, 320, 250, 205, 515, 153, 305, 318, 374].Systems [48, 252, 27, 162, 526, 128, 56, 100,71, 559, 308, 529, 509, 105, 87, 183, 429, 69,441, 102, 154, 307, 447, 21, 454]. systole

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[152, 34].

tachycardia [350]. Tachycardias [540].take [51]. technique [215]. Techniques[362]. tells [493]. Temporal[529, 154, 314, 179]. temporally [330].tension [26]. term [376]. Terminal [45].termination [500]. Terrestrial [509]. test[85]. testability [332]. Tests [498].Textbook [535]. Their [443, 52, 258, 8, 301].theorem [102]. Theoretical[402, 293, 55, 333, 542, 283, 19, 30, 514, 448].theories [484, 12]. Theory[48, 124, 27, 35, 15, 385, 433, 571, 28, 362, 336,451, 388, 115, 482, 432, 4, 102, 171, 103, 510].therapeutic [397]. therapy [59]. thermal[354]. thin [424]. thorax [202]. those [137].Three[206, 153, 83, 339, 192, 43, 196, 114, 231, 265].Three-dimensional[206, 83, 339, 43, 196, 231, 265]. Time[309, 549, 104, 192, 471, 183]. time-delayed[183]. times [508]. timing [78, 436, 152].tissue [257, 348, 486, 170]. tissues[390, 359]. tongues [386]. tool[523, 240, 502, 510]. Topological [81].Topology [566, 342]. torso [32].trabecular [66, 38]. tracking [43]. traits[204]. trajectories [480, 481].Transduction [533, 559, 261, 92]. transfer[235]. Transformation [4]. Transient[109, 175]. Transmembrane[512, 469, 351, 430, 491, 462, 463].transmission [20]. Traveling [526].traverses [79]. treatment [401]. tree[228, 418]. trickery [303]. Triggered [555].triphosphate [216]. triphosphates [373].trisphophate [341]. Trisphosphate [255,331, 253, 380, 290, 210, 310, 174, 280, 317].Trophic [344, 234]. Turning [358]. Two[323, 328, 71, 464, 53, 147, 137, 51].Two-dimensional [323, 53]. Two-locus[71]. two-patch [147]. two-state [137].types [465, 300, 153].

ubiquitination [445]. Ueber [1]. UK [546].uncertainty [372]. understanding [510].Unidirectional [274, 369]. uniform[214, 453]. unifying [484]. Universal[181, 271]. University [546, 515, 527].Unrooted [418]. unsterblichkeit [1]. until[379]. upon [92]. urchin [126, 174]. use[229, 102, 364]. useful [502]. using[348, 185, 235, 236, 33].

Vagus [281]. valve [121, 152, 394]. Valves[568, 131, 151]. variability [105]. Variable[278, 315, 256, 89, 372]. Variance [177, 505].Variation[61, 383, 26, 200, 513, 211, 442, 217, 457, 458].varying [381, 25, 408, 145, 388, 330].Vasopressin [245]. Vector [128]. ventricle[34]. ventricles [14]. ventricular[77, 166, 350, 351, 301, 243, 83, 340, 375].ventroposteriolateral [397]. vertebrate[26, 488]. vertical [233]. viable [478].vibration [103]. Views [547]. Virtual [455].Virus [487, 213, 555]. vitro [261]. voltage[165]. volume [202]. Vulnerability [369].

Wadden [521, 113]. walk [480, 481]. Walks[125]. wall [243, 83]. Wave[536, 79, 299, 331, 500, 174]. Wavelengths[467, 466]. Waves[545, 526, 192, 323, 361, 310, 452]. weak[180, 247]. wee}1 [190]. within [470].without [64]. Working [521]. workshop[547]. Wright [96].

X. [329]. Xenopus[134, 360, 323, 253, 255, 287, 210].

Yeast [522, 379, 78, 86, 54, 446, 63, 172, 173].York [515].

ZFY [410]. Zone [277]. zooplankton [513,353, 233, 90, 494].

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REFERENCES 13

ReferencesHartmann:1928:UEU

[1] M. Hartmann. Ueber experimentelle un-sterblichkeit von protozoen-individuen.Ersatz der fotpflanzung von amoeba pro-teus durch fortgesetzte regenerationen.Zool. Jahrb., 45:973–987, 1928.

Hill:1938:HSD

[2] A. V. Hill. The heat of shortening anddynamic constants of muscle. Proceed-ings of the Royal Society of London. Se-ries B. Biological sciences, 126:136–195,1938. CODEN PRLBA4. ISSN 0962-8452 (print), 1471-2954 (electronic).

Harvey:1940:CDN

[3] E. B. Harvey. A comparison of the de-velopment of nucleate and non-nucleateeggs of Arbacia punctulata. BiologicalBulletin, 79:166–187, 1940. CODENBIBUBX. ISSN 0006-3185.

Levinson:1944:TTN

[4] N. Levinson. Transformation theory ofnon-linear differential equations of thesecond order. Annals of Mathemat-ics, 45:723–737, 1944. CODEN AN-MAAH. ISSN 0003-486X (print), 1939-8980 (electronic).

Hodgkin:1946:ECC

[5] A. L. Hodgkin and W. A. H. Rushton.The electrical constants of a crustaceannerve fibre. Proceedings of the RoyalSociety of London. Series B. Biologicalsciences, 133:444–479, 1946. CODENPRLBA4. ISSN 0962-8452 (print), 1471-2954 (electronic).

Hodgkin:1952:QDM

[6] A. L. Hodgkin and A. F. Huxley. Aquantitative description of membranecurrent and its application to conduc-tion and excitation in nerve. Journal ofPhysiology, 117:500–544, 1952. CODENJPHYA7. ISSN 0022-3751.

Cole:1954:PCL

[7] L. C. Cole. The population consequencesof life history phenomena. Quarterly Re-view of Biology, 29:103–137, 1954. CO-DEN QRBIAK. ISSN 0033-5770 (print),1539-7718 (electronic).

Huxley:1954:CCM

[8] H. E. Huxley and J. Hanson. Changes inthe cross-striations of muscle during con-traction and stretch and their structuralinterpretation. Nature, 173:973–976,1954. CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).

Huxley:1954:IML

[9] A. F. Huxley and R. Niedergerke. In-terference microscopy of living muscle fi-bres. Nature, 173:971–973, 1954. CO-DEN NATUAS. ISSN 0028-0836 (print),1476-4687 (electronic).

Slobodkin:1954:PDD

[10] L. B. Slobodkin. Population dynamics inDaphnia obtusa kurz. Ecological Mono-graphs, 24:69–88, 1954. CODEN EC-MOAQ. ISSN 0012-9615.

Aubert:1956:CCM

[11] Xavier Aubert. Le couplage energetiquede la contraction musculaire. EditionsArscia, Brussels, Belgium, 1956. 315pp. These d’agregation — UniversiteCatholique de Louvain.

Page 14: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 14

Huxley:1957:MST

[12] A. F. Huxley. Muscle structure andtheories of contraction. Progress inBiophysics and Biophysical Chemistry,7:255–318, 1957. CODEN PBBCAF.ISSN 0096-4174.

Stark:1957:SSC

[13] L. Stark and P. M. Sherman. A servo-analytical study of the consensual pupilreflex to light. Journal of Neurophysiol-ogy, 20:17–26, 1957. CODEN JONEA4.ISSN 0022-3077.

Thomas:1957:MAV

[14] C. E. Thomas. The muscular architec-ture of the ventricles of hog and doghearts. American Journal of Anatomy,101:17–57, 1957. CODEN AJANA2.ISSN 0002-9106.

Fisher:1958:GTN

[15] R. A. Fisher. The Genetical Theory ofNatural Selection. Dover Publications,Inc., New York, NY, 1958. 291 pp.LCCN QH366 .F5 1958.

Stark:1959:SON

[16] L. Stark. Stability, oscillations, andnoise in the human pupil servomecha-nism. Proceedings of the Institute of Ra-dio Engineers, 47:1925–1939, 1959. CO-DEN PIREAE. ISSN 0096-8390.

Frank:1960:PPG

[17] P. W. Frank. Prediction of populationgrowth form in Daphnia pulex cultures.American Naturalist, 94:357–372, 1960.CODEN AMNTA4. ISSN 0003-0147.

Furstenberg:1960:PRM

[18] H. Furstenberg and H. Kesten. Productsof random matrices. Annals of Math-ematical Statistics, 31(2):457–469, June

1960. CODEN AASTAD. ISSN 0003-4851. URL http://projecteuclid.org/euclid.aoms/1177705909.

FitzHugh:1961:IPS

[19] R. FitzHugh. Impulses and physiologi-cal states in theoretical models of nervemembrane. Biophysical Journal, 1:445–466, 1961. CODEN BIOJAU. ISSN0006-3495.

Nagumo:1962:APT

[20] J. S. Nagumo, S. Arimoto, andS. Yoshizawa. An active pulse transmis-sion line simulating nerve axon. Proceed-ings of the Institute of Radio Engineers,50:2061–2071, 1962. CODEN PIREAE.ISSN 0096-8390.

Stark:1962:ECB

[21] L. Stark. Environmental clamping ofbiological systems: Pupil servomcha-nism. Journal of the Optical Societyof America. A, Optics, image science,and vision, 52:925–930, 1962. CODENJOAOD6. ISSN 1084-7529, 0740-3232.

Veronis:1963:PC

[22] G. Veronis. Penetrative convection. As-trophysical Journal, 137:641–663, 1963.CODEN ASJOAB. ISSN 0004-637X(print), 1538-4357 (electronic).

Hill:1964:ELH

[23] A. V. Hill. The effect of load on the heatof shortening muscle. Proceedings of theRoyal Society of London. Series B. Bio-logical sciences, 159:297–318, 1964. CO-DEN PRLBA4. ISSN 0962-8452 (print),1471-2954 (electronic).

Perkel:1964:PNE

[24] D. H. Perkel, J. H. Schulman, T. H. Bul-lock, G. P. Moore, and J. P. Segundo.

Page 15: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 15

Pacemaker neurons: Effects of regularlyspaced synaptic input. Science, 145:61–63, 1964. CODEN SCIEAS. ISSN 0036-8075 (print), 1095-9203 (electronic).

Cohen:1966:ORR

[25] D. Cohen. Optimizing reproduction in arandomly varying environment. Journalof Theoretical Biology, 12:119–129, 1966.CODEN JTBIAP. ISSN 0022-5193.

Gordon:1966:VIT

[26] A. M. Gordon, A. F. Huxley, and F. J.Julian. The variation in isometric ten-sion with sarcomere length in vertebratemuscle fibers. Journal of Physiology,184:170–192, 1966. CODEN JPHYA7.ISSN 0022-3751.

Bhatia:1967:DSS

[27] N. P. (Nam Parshad) Bhatia and G. P.Szego. Dynamical Systems: StabilityTheory and Applications, volume 35 ofLecture notes in mathematics. Springer-Verlag, Berlin; New York, 1967. 6 + 416pp. LCCN QA3 .L35 v.35.

MacArthur:1967:TIB

[28] R. H. MacArthur and E. O. Wilson. TheTheory of Island Biogeography, volume 1of Monographs in Population Biology.Princeton University Press, Princeton,NJ, USA, 1967. xi + 203 pp. LCCNQH85 .M3.

Flugge-Lotz:1968:DOC

[29] Irmgard Flugge-Lotz. Discontinuousand Optimal Control. McGraw-Hill,New York, NY, USA, 1968. x + 286 pp.LCCN A402.3 .F53.

FitzHugh:1969:BE

[30] R. FitzHugh. Mathematical models ofexcitation and propagation in theoret-

ical models of nerve. In Herman P.Schwan et al., editors, Biological En-gineering, volume 9 of Inter-universityelectronic series, pages 1–85. McGraw-Hill, New York, NY, USA, 1969. LCCNR856 .B47.

Rosenzweig:1969:WPC

[31] M. Rosenzweig. Why the prey curvehas a hump. American Naturalist, 103:81–87, 1969. CODEN AMNTA4. ISSN0003-0147.

Rush:1969:CDD

[32] S. Rush, E. Lepeschkin, and A. Gre-goritsch. Current distribution from de-fibrillation electrodes in a homogeneoustorso model. Journal of electrocardiol-ogy, 2:331–341, 1969. CODEN JECAB4.ISSN 0022-0736.

Schmitt:1969:BIP

[33] O. H. Schmitt. Biological informationprocessing using the concept of inter-penetrating domains. In Leibovic [515],pages 325–331.

Streeter:1969:FOC

[34] D. D. Streeter, Jr., H. M. Spotnitz, D. P.Patel, J. Ross, Jr., and E. H. Sonnen-blick. Fiber orientation in the canineleft ventricle during diastole and systole.Circulation Research, 24:339–347, 1969.CODEN CIRUAL. ISSN 0009-7330.

Crow:1970:IPG

[35] J. F. Crow and M. Kimura. Introductionto Population Genetics Theory. BurgessPublishing Company, Minneapolis, MN,1970. ISBN 0-06-356128-X (Harper andRow paperback, 1972 reprint), 0-8087-2910-2. xiv + 591 pp. LCCN QH431.C76.

Page 16: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 16

Rao:1970:MCF

[36] P. N. Rao and R. T. Johnson. Mam-malian cell fusion: studies on the regu-lation of DNA synthesis and mitosis. Na-ture, 225:159–164, 1970. CODEN NAT-UAS. ISSN 0028-0836 (print), 1476-4687(electronic).

Shiba:1970:EMF

[37] H. Shiba. An electric model for flatepithelial cells with low resistive junc-tional membranes. A mathematical sup-plement. Japanese Journal of AppliedPhysics, 9:1405–1409, 1970. CODENJJAPA5. ISSN 0021-4922.

Weidmann:1970:ECT

[38] S. Weidmann. Electrical constantsof trabecular muscle from mammalianheart. Journal of Physiology, 210:1041–1054, 1970. CODEN JPHYA7. ISSN0022-3751.

Huxley:1971:PMF

[39] A. F. Huxley and R. M. Simmons. Pro-posed mechanism of force generation instriated muscle. Nature, 233:533–538,1971. CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).

Johnsson:1971:FEB

[40] A. Johnsson and H. G. Karlsson. Biolog-ical rhythms: Singularities in phase-shiftexperiments as predicted from a feed-back model. In E. Broda, A. Locker,and H. Springer-Lederer, editors, FirstEuropean Biophysics Congress, 14–17Sept. 1971, Baden near Vienna, Aus-tria, pages 263–267. Springer-Verlag,Berlin, Germany / Heidelberg, Ger-many / London, UK / etc., 1971. LCCNQT34 .E89 1971. Six volumes.

Masui:1971:CCN

[41] Y. Masui and C. L. Markert. Cyto-plasmic control of nuclear behavior dur-ing meiotic maturation of frog oocytes.Journal of experimental zoology, 177:129–146, 1971. CODEN JEZOAO. ISSN0022-104X.

Mitchison:1971:BCC

[42] J. M. Mitchison. The biology of thecell cycle. Cambridge University Press,Cambridge, UK, 1971. ISBN 0-521-08251-X, 0-521-09671-5 (paperback). v+ 313 pp. LCCN QH605 .M682 1971.

Berg:1972:CEC

[43] H. C. Berg and D. A. Brown. Chemo-taxis in Escheria coli analyzed by three-dimensional tracking. Nature, 239:500–504, 1972. CODEN NATUAS.ISSN 0028-0836 (print), 1476-4687 (elec-tronic).

Cowan:1972:SMN

[44] J. D. Cowan. Stochastic models of neu-roelectric activity. In Rice et al. [517],pages 181–182. ISBN 0-226-71115-3.LCCN QC175 .I5 1971. IUPAP Con-ference on Statistical Mechanics (6th:1971: Chicago, IL).

Crichton:1972:TM

[45] Michael Crichton. The Terminal Man.Ballantine Books, New York, NY, USA,1972. ISBN 0-394-44768-9. xi + 247 pp.LCCN PS3553.R48 T4.

Fretwell:1972:PSE

[46] S. D. Fretwell. Populations in a Sea-sonal Environment. Princeton Univer-sity Press, Princeton, NJ, USA, 1972.

Page 17: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 17

ISBN 0-691-08105-0, 0-691-08106-9 (pa-perback). xxiii + 217 pp. LCCN QL752.F73.

Sachsenmaier:1972:ISM

[47] W. Sachsenmaier, U. Remy, andR. Plattner-Schobel. Initiation of syn-chronous mitosis in Physarum poly-cephalum. Experimental Cell Research,73:41–48, 1972. CODEN ECREAL.ISSN 0014-4827.

Andronov:1973:TBD

[48] A. A. Andronov, E. A. Leontovich, I. I.Gordon, and A. G. Maier. Theory ofBifurcations of Dynamic Systems on aPlane. Wiley, New York, 1973. ISBN0-470-03194-8. xiv + 482 pp. LCCNQA845 T4 1967.

Arnold:1973:ODE

[49] V. I. (Vladimir Igorevich) Arnold. Or-dinary Differential Equations. MITPress, Cambridge, MA, 1973. ISBN0-262-01037-2. ix + 280 pp. LCCNQA372.A713. Translated and edited byRichard A. Silverman.

Frazier:1973:DSF

[50] E. A. J. Frazier. DNA synthesis fol-lowing gross alterations of the nucleo-cytoplasmic ratio in the ciliate Stentorcoeruleus. Developmental Biology, 34:77–92, 1973. CODEN DEBIAO. ISSN0012-1606.

Huxley:1973:NSC

[51] A. F. Huxley. A note suggesting thatcross-bridge attachment during mus-cle contraction may take place in twostages. Proceedings of the Royal Societyof London. Series B. Biological sciences,183:83–86, 1973. CODEN PRLBA4.

ISSN 0962-8452 (print), 1471-2954 (elec-tronic).

Pavlidis:1973:BOT

[52] T. Pavlidis. Biological Oscillators:Their Mathematical Analysis. AcademicPress, New York, NY, 1973. ISBN 0-12-547350-8. xiii + 207 pp. LCCN QH527.P38.

Bukauskas:1974:MTA

[53] F. F. Bukauskas, N. I. Kukushkin, and M. Y. Sakson. Model of atwo-dimensional anisotropic syncytium.communication I. Biofizika, 19:712–716,1974. CODEN BIOFAI. ISSN 0006-3029.

Hartwell:1974:GCC

[54] L. H. Hartwell, J. Culotti, J. R. Pringle,and B. J. Reid. Genetic control ofthe cell division cycle in yeast. Sci-ence, 183:46–51, 1974. CODEN SCI-EAS. ISSN 0036-8075 (print), 1095-9203(electronic).

Hill:1974:TFS

[55] T. L. Hill. Theoretical formalism for thesliding filament model of contraction ofstriated muscle, part I. Progress in Bio-physics and Molecular Biology, 28:267–340, 1974. CODEN PBIMAC. ISSN0079-6107.

Hirsch:1974:DED

[56] M. W. Hirsch and S. Smale. Differen-tial Equations, Dynamical Systems andLinear Algebra, volume 60 of Pure andapplied mathematics. Academic Press,1974. ISBN 0-12-349550-4. xi + 358 pp.LCCN QA3 .P8 v.60.

Page 18: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 18

Beddington:1975:MIB

[57] J. R. Beddington. Mutual interferencebetween parasites or predators and itseffect on searching efficiency. Journal ofAnimal Ecology, 44:331–340, 1975. CO-DEN JAECAP. ISSN 0021-8790.

Childress:1975:PFS

[58] S. Childress, M. Levandowsky, and E. A.Spiegel. Pattern formation in a sus-pension of swimming micro-organisms.Journal of Fluid Mechanics, 69:595–613,1975. CODEN JFLSA7. ISSN 0022-1120.

Forster:1975:REB

[59] Francis M. Forster. Reflex epilepsy,behavioral therapy, and conditional re-flexes. Thomas, Springfield, IL, USA,1975. ISBN 0-398-03614-4. ix + 318 pp.LCCN RC372 .F67.

Guckenheimer:1975:IPS

[60] J. Guckenheimer. Isochrons and phase-less sets. Journal of Mathematical Bi-ology, 1:259–273, 1975. CODEN JM-BLAJ. ISSN 0303-6812.

Julian:1975:VMS

[61] F. J. Julian and M. R. Sollins. Varia-tion of muscle stiffness with force at in-creasing speeds of shortening. Journalof General Physiology, 66:287–302, 1975.CODEN JGPLAD. ISSN 0022-1295.

Karlin:1975:FCS

[62] S. Karlin and H. M. Taylor. A FirstCourse in Stochastic Processes. Aca-demic Press, New York, NY, second edi-tion, 1975. ISBN 0-12-398552-8. xvi +557 pp. LCCN QA274 .K371 1975.

Nurse:1975:GCC

[63] P. Nurse. Genetic control of cell size atdivision in yeast. Nature, 256:547–551,1975. CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).

Watterson:1975:NSS

[64] G. A. Watterson. On the number of seg-regating sites in genetical models with-out recombination. Theoretical Popula-tion Biology, 7:256–276, 1975. CODENTLPBAQ. ISSN 0040-5809.

Brokaw:1976:CSM

[65] C. J. Brokaw. Computer simula-tion of movement generating cross-bridges. Biophysical Journal, 16:1013–1027, 1976. CODEN BIOJAU. ISSN0006-3495.

Clerc:1976:DDI

[66] L. Clerc. Directional differences of im-pulse spread in trabecular muscle frommammalian heart. Journal of Phys-iology, 255:335–346, 1976. CODENJPHYA7. ISSN 0022-3751.

Cooper:1976:CCS

[67] I. S. Cooper, I. Amin, M. Riklan, J. M.Waltz, and T. P. Poon. Chronic cerebel-lar stimulation in epilepsy. Archives ofNeurology, 33:559–570, 1976. CODENARNEAS. ISSN 0003-9942.

Lande:1976:NSR

[68] R. Lande. Natural selection and ran-dom genetic drift in phenotypic evolu-tion. Evolution, 30:314–334, 1976. CO-DEN EVOLAO. ISSN 0014-3820.

Mackey:1977:OCP

[69] M. C. Mackey and L. Glass. Oscillationand chaos in physiological control sys-

Page 19: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 19

tems. Science, 197:287–289, 1977. CO-DEN SCIEAS. ISSN 0036-8075 (print),1095-9203 (electronic).

Mirouze:1977:EEI

[70] J. Mirouze, J. L. Selam, T. C. Pham,and D. Cavadore. Evaluation of exoge-nous insulin homeostasis by the artificialpancreas in insulin-dependent diabetes.Diabetologia, 13:273–278, 1977. CODENDBTGAJ. ISSN 0012-186X.

Nagylaki:1977:SOT

[71] T. Nagylaki. Selection in One- andTwo-locus Systems, volume 15 of Lec-ture notes in biomathematics. Springer-Verlag, Berlin, Germany / Heidelberg,Germany / London, UK / etc., 1977.ISBN 0-387-08247-6. vii + 208 pp.LCCN QH455 .N331.

Pinsker:1977:ABN

[72] H. M. Pinsker. Aplysia bursting neu-rons as endogenous oscillators: I: Phase-response curves for pulsed inhibitorysynaptic input. Journal of Neuro-physiology, 40:527–543, 1977. CODENJONEA4. ISSN 0022-3077.

Rinzel:1977:RNI

[73] J. Rinzel. Repetitive nerve impulsepropagation: Numerical results andmethods. In Fitzgibbon, III and Walker[518], pages 186–212. ISBN 0-273-01066-2. LCCN QA274.75 .N66.

Vassalle:1977:RAC

[74] M. Vassalle. The relationship amongcardiac pacemakers: Overdrive suppres-sion. Circulation Research, 41:269–277,1977. CODEN CIRUAL. ISSN 0009-7330.

Bender:1978:AMM

[75] C. M. Bender and S. A. Orszag. Ad-vanced Mathematical Methods for Sci-entists and Engineers. McGraw-Hill,New York, NY, USA, 1978. ISBN 0-07-004452-X. xiv + 593 pp. LCCN QA371.B43.

Bensoussan:1978:AAP

[76] Alain Bensoussan, Jacques-Louis Lions,and George Papanicolaou. Asymptoticanalysis for periodic structures. North-Holland Publishing Co., Amsterdam,The Netherlands, 1978. ISBN 0-444-85172-0. xxiv + 700 pp. LCCN QA379.B45.

Chapman:1978:ACP

[77] R. A. Chapman and C. H. Fry. An anal-ysis of cable properties of frog ventricu-lar myocardium. Journal of Physiology,283:263–282, 1978. CODEN JPHYA7.ISSN 0022-3751.

Fantes:1978:CTC

[78] P. A. Fantes and P. Nurse. Control ofthe timing of cell division in fission yeast:cell size mutants reveal a second controlpathway. Experimental Cell Research,115:317–329, 1978. CODEN ECREAL.ISSN 0014-4827.

Gilkey:1978:FCW

[79] J. C. Gilkey, L. F. Jaffe, E. B. Ridge-way, and G. T. Reynolds. A free cal-cium wave traverses the activating eggof the medaka, Oryzias latipes. Journalof Cell Biology, 76:448–466, 1978. CO-DEN JCLBA3. ISSN 0021-9525.

Miller:1978:SSE

[80] W. T. Miller, III and D. B. Geselowitz.Simulation studies of the electrocardio-gram. I. the normal heart. Circulation

Page 20: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 20

Research, 43:301–315, 1978. CODENCIRUAL. ISSN 0009-7330.

Kawato:1978:BOC

[81] M. Kawato and R. Suzuki. Biologicaloscillators can be stopped. topologicalstudy of a phase response curve. Biolog-ical Cybernetics, 30:241–284, 1978. CO-DEN BICYAF. ISSN 0340-1200.

Marshall:1978:PDD

[82] J. S. Marshall. Population dynamics ofDaphnia galeata mendotae as modifiedby chronic cadmium stress. Journal ofthe Fisheries Research Board of Canada,35:461–469, 1978. CODEN JFRBAK.ISSN 0015-296X.

Streeter:1978:TFO

[83] D. D. Streeter, Jr., W. E. Powers,M. A. Ross, and F. Torrent-Guasp.Three-dimensional fiber orientation inthe mammalian left ventricular wall. InBaan et al. [519], pages 73–84. ISBN 0-262-18078-2. LCCN RC670.C37.

Tung:1978:BMD

[84] L. Tung. A bi-domain model for describ-ing ischemic myocardial D-C potentials.PhD thesis, MIT, Cambridge, MA, 1978.

Best:1979:NSH

[85] E. N. Best. Null space in the Hodgkin–Huxley equations: A critical test. Bio-physical Journal, 27:87–104, 1979. CO-DEN BIOJAU. ISSN 0006-3495.

Fantes:1979:EGI

[86] P. A. Fantes. Epistatic gene interac-tions in the control of division in fissionyeast. Nature, 279:428–430, 1979. CO-DEN NATUAS. ISSN 0028-0836 (print),1476-4687 (electronic).

Glass:1979:PCR

[87] L. Glass and M. C. Mackey. Pathologi-cal conditions resulting from instabilitiesin physiological control systems. Annalsof the New York Academy of Sciences,316:214–235, 1979. CODEN ANYAA9.ISSN 0077-8923 (print), 1749-6632 (elec-tronic).

Griffiths:1979:ESD

[88] R. C. Griffiths. Exact sampling distri-butions from the infinite neutral allelesmodel. Advances in Applied Probability,11:326–354, 1979. CODEN AAPBBD.ISSN 0001-8678 (print), 1475-6064 (elec-tronic).

Levins:1979:CVE

[89] R. Levins. Coexistence in a variable en-vironment. American Naturalist, 114:765–783, 1979. CODEN AMNTA4.ISSN 0003-0147.

Lynch:1979:PCZ

[90] M. Lynch. Predation, competition, andzooplankton community structure: Anexperimental study. Limnology andOceanography, 24:253–272, 1979. CO-DEN LIOCAH. ISSN 0024-3590.

Pastushenko:1979:EBB

[91] V. F. Pastushenko, Y. A. Chizmadzhev,and V. B. Arakelyan. Electric break-down of bilayer lipid membranes: II.calculations of the membrane lifetimein the steady-state diffusion approxima-tion. Bioelectrochemistry and Bioen-ergetics, 6:53–62, 1979. CODEN BE-BEBP. ISSN 0302-4598.

Vibert:1979:RII

[92] J. F. Vibert, M. Davis, and J. P. Se-gundo. Recurrent inhibition: Its influ-

Page 21: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 21

ence upon transduction and afferent dis-charges in slowly-adapting stretch recep-tor organs. Biological Cybernetics, 33:167–178, 1979. CODEN BICYAF. ISSN0340-1200.

Armstrong:1980:CE

[93] R. A. Armstrong and R. McGehee.Competitive exclusion. American Natu-ralist, 115:151–170, 1980. CODEN AM-NTA4. ISSN 0003-0147.

Benz:1980:RSC

[94] R. Benz and U. Zimmermann. Relax-ation studies on cell membranes andlipid bilayers in the high electric fieldrange. Bioelectrochemistry and Bioen-ergetics, 7:723–739, 1980. CODEN BE-BEBP. ISSN 0302-4598.

Charlesworth:1980:EAP

[95] Brian Charlesworth. Evolution in Age-Structured Populations. Cambridge Uni-versity Press, Cambridge, UK, 1980.ISBN 0-521-29786-9 (paperback), 0-521-23045-4. xiii + 300 pp. LCCN QH455.C47.

Griffiths:1980:LDD

[96] R. C. Griffiths. Lines of descent inthe diffusion approximation of neutralWright–Fisher models. Theoretical Pop-ulation Biology, 17:37–50, 1980. CO-DEN TLPBAQ. ISSN 0040-5809.

Gustafson:1980:PDE

[97] Karl E. Gustafson. Partial differen-tial equations and Hilbert space methods.Wiley, New York, 1980. ISBN 0-471-04089-4. xv + 270 pp. LCCN QA374.G97.

Guttman:1980:CRF

[98] R. Guttman, S. Lewis, and J. Rinzel.Control of repetitive firing in squid axon

membrane as a model for a neurooscilla-tor. Journal of Physiology, 305:377–395,1980. CODEN JPHYA7. ISSN 0022-3751.

Herbert:1980:CCD

[99] P. D. N. Herbert and T. J. Crease.Clonal coexistence in Daphnia pulex :Another planktonic paradox. Science,207:1363–1365, 1980. CODEN SCIEAS.ISSN 0036-8075 (print), 1095-9203 (elec-tronic).

Irwin:1980:SDS

[100] M. C. Irwin. Smooth Dynamical Sys-tems, volume 94 of Pure and appliedmathematics. Academic Press, 1980.ISBN 0-12-374450-4. x + 259 pp. LCCNQA3 .P8 v.94.

Lepeschkin:1980:CPG

[101] E. Lepeschkin, H. C. Herrlich, S. Rush,J. L. Jones, and R. E. Jones. Cardiac po-tential gradients between defibrillationelectrodes. Medical Instrumentation, 14:57, 1980. CODEN MLISBY. ISSN 0090-6689.

Odell:1980:QTS

[102] G. M. Odell. Qualitative theory of sys-tems of ordinary differential equations,including phase plane analysis and theuse of the hopf bifurcation theorem. InSegel [520], pages 649–727. ISBN 0-521-22925-1. LCCN QH506 .M38.

Sanchez-Palencia:1980:LNP

[103] E. Sanchez-Palencia. Non-homogeneousmedia and vibration theory. In Lec-ture Notes in Physics, pages ix + 398.Springer-Verlag, Berlin, Germany / Hei-delberg, Germany / London, UK / etc.,1980.

Page 22: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 22

Winfree:1980:GBT

[104] Arthur T. Winfree. The Geometry ofBiological Time, volume 8 of Biomath-ematics. Springer-Verlag, Berlin, Ger-many / Heidelberg, Germany / London,UK / etc., 1980. ISBN 0-387-09373-7(New York). 3-540-09373-7 (Berlin). xiii+ 530 pp. LCCN QH527 .W55 1980.

Chesson:1981:EVP

[105] P. L. Chesson and R. R. Warner. En-vironmental variability promotes coex-istence in lottery competitive systems.American Naturalist, 117:923–943, 1981.CODEN AMNTA4. ISSN 0003-0147.

Eshel:1981:KSS

[106] I. Eshel and U. Motro. Kin selectionand strong evolutionary stability of mu-tual help. Theoretical Population Biol-ogy, 19:420–433, 1981. CODEN TLP-BAQ. ISSN 0040-5809.

Falconer:1981:IQG

[107] D. S. Falconer. Introduction to Quan-titative Genetics. Longman Scientificand Technical, Harlow, Essex, UK, sec-ond edition, 1981. ISBN 0-470-20474-5,0-582-44195-1. viii + 340 pp. LCCNQH452.7 .F34 1986.

Guevara:1981:PLP

[108] M. R. Guevara, L. Glass, and A. Shrier.Phase locking, period doubling bifurca-tions and irregular dynamics in period-ically stimulated cardiac cells. Science,214:1350–1353, 1981. CODEN SCIEAS.ISSN 0036-8075 (print), 1095-9203 (elec-tronic).

Kawato:1981:TSS

[109] M. Kawato. Transient and steady statephase response curves of limit cycle os-

cillators. Journal of Mathematical Biol-ogy, 12:13–30, 1981. CODEN JMBLAJ.ISSN 0303-6812.

Kohn:1981:PIP

[110] A. F. Kohn, A. Freitas da Rocha, andJ. P. Segundo. Presynaptic irregular-ity and pacemaker inhibition. Biologi-cal Cybernetics, 41:5–18, 1981. CODENBICYAF. ISSN 0340-1200.

Nurse:1981:GAC

[111] P. Nurse. Genetics analysis of the cell cy-cle. In Glover and Hopwood [523], pages291–315. ISBN 0-521-23748-3. LCCNQR1 .S7 v.31.

Pringle:1981:SCC

[112] J. R. Pringle and L. H. Hartwell. TheSaccharomyces cerevisiae cell cycle. InStrathern et al. [522], pages 97–142.ISBN 0-87969-149-2. LCCN QK623.S23M643 1982.

Reijnders:1981:PDH

[113] P. J. H. Reijnders, H. E. Drescher, J. L.van Haaften, E. Bogebjerg Hansen, andS. Tougaard. Population dynamics ofthe harbour seal in the Wadden Sea.In Reijnders and Wolff [521], pages 19–32. ISBN 90-6191-057-9. LCCN QL713.2.M364 1982.

Goulden:1982:BSE

[114] C. E. Goulden, L. L. Henry, and A. J.Tessier. Body size, energy reserves, andcompetitive ability in three species ofcladocera. Ecology, 63:1780–1789, 1982.CODEN ECOLAR. ISSN 0012-9658.

Guevara:1982:PLP

[115] M. R. Guevara and L. Glass. Phase lock-ing, period doubling bifurcations, and

Page 23: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 23

chaos in a mathematical model of a pe-riodically driven oscillator: A theory forthe entrainment of biological oscillatorsand the generation of cardiac dysrhyth-mias. Journal of Mathematical Biology,14:1–23, 1982. CODEN JMBLAJ. ISSN0303-6812.

Hartman:1982:ODE

[116] Philip Hartman. Ordinary Differen-tial Equations. Birkhauser Boston Inc.,Cambridge, MA, USA, second edition,1982. ISBN 3-7643-3068-6. xiv + 612pp. LCCN QA372 .H33 1982.

Heiden:1982:DPD

[117] U. an der Heiden and M. C. Mackey. Thedynamics of production and destruction:Analytic insight into complex behavior.Journal of Mathematical Biology, 16:75–101, 1982. CODEN JMBLAJ. ISSN0303-6812.

Hoppensteadt:1982:PLB

[118] F. C. Hoppensteadt and J. Keener.Phase locking of biological clocks. Jour-nal of Mathematical Biology, 15:339–349, 1982. CODEN JMBLAJ. ISSN0303-6812.

Kingman:1982:EEL

[119] J. F. C. Kingman. Exchangeabilityand the evolution of large populations.In Koch and Spizzichino [524], pages97–112. ISBN 0-444-86403-2. LCCNQA273.A1 I55 1981.

Kingman:1982:GLP

[120] J. F. C. Kingman. On the genealogy oflarge populations. Journal of AppliedProbability, 19A:27–43, 1982. CODENJPRBAM. ISSN 0021-9002 (print),1475-6072 (electronic). URL http://www.jstor.org/stable/3213548.

McQueen:1982:FDM

[121] D. M. McQueen, C. S. Peskin, andE. L. Yellin. Fluid dynamics of themitral valve: physiological aspects of amathematical model. American Journalof Physiology, 242:H1095–H1110, 1982.CODEN AJPHAP. ISSN 0002-9513(print), 2163-5773 (electronic).

Paloheimo:1982:GMD

[122] J. E. Paloheimo, S. J. Crabtree, andW. D. Taylor. Growth model of Daph-nia. Canadian Journal of Fisheries andAquatic Sciences, 39:598–606, 1982. CO-DEN CJFSDX. ISSN 0706-652X.

Watterson:1982:MSA

[123] G. A. Watterson. Mutant substitutionsat linked nucleotide sites. Advances inApplied Probability, 14:206–224, 1982.CODEN AAPBBD. ISSN 0001-8678(print), 1475-6064 (electronic).

Arnold:1983:GMT

[124] V. I. Arnold. Geometrical Meth-ods in the Theory of Ordinary Dif-ferential Equations, volume 250 ofGrundlehren der mathematischen Wis-senschaften. Springer-Verlag, Berlin,Germany / Heidelberg, Germany / Lon-don, UK / etc., 1983. ISBN 0-387-90681-9. x + 334 pp. LCCN QA372 .A69131983. Translated by J. Szucs; Englishtranslation edited by M. Levi.

Berg:1983:RWB

[125] Howard C. Berg. Random Walks in Bi-ology. Princeton University Press, 1983.ISBN 0-691-00064-6. 152 pp. LCCNQH323.5.B45 1993. US$12.95.

Page 24: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 24

Evans:1983:CPS

[126] T. Evans, E. T. Rosenthal, J. Young-bloom, D. Distel, and T. Hunt. Cyclin:a protein specified by maternal mRNAin sea urchin eggs that is destroyed ateach cleavage division. Cell, 33:389–396,1983. CODEN CELLB5. ISSN 0092-8674.

Glass:1983:BCP

[127] L. Glass, M. R. Guevara, A. Shrier, andR. Perez. Bifurcation and chaos in aperiodically stimulated cardiac oscilla-tor. Physica, 7D:89–101, 1983. CO-DEN PHYSAG. ISSN 0031-8914 (print),1873-1767 (electronic).

Guckenheimer:1983:NOD

[128] J. Guckenheimer and P. J. Holmes. Non-linear Oscillations, Dynamical Systemsand Bifurcations of Vector Fields, vol-ume 42 of Applied mathematical sci-ences. Springer, New York, 1983. ISBN0-387-90819-6. xii + 459 pp. LCCNQA867.5 .G8 1993.

Hudson:1983:PNA

[129] R. R. Hudson. Properties of a neu-tral allele model with intragenic recom-bination. Theoretical Population Biol-ogy, 23:183–201, 1983. CODEN TLP-BAQ. ISSN 0040-5809.

Martinez:1983:BSN

[130] O. Diez Martinez and J. P. Segundo. Be-havior of a single neuron in a recurrentexcitatory loop. Biological Cybernetics,47:33–41, 1983. CODEN BICYAF. ISSN0340-1200.

McQueen:1983:CDP

[131] D. M. McQueen and C. S. Peskin.Computer-assisted design of pivoting-

disc prosthetic mitral valves. Journal ofthoracic and cardiovascular surgery, 86:126–135, 1983. CODEN JTCSAQ. ISSN0022-5223.

Porter:1983:FRF

[132] K. G. Porter, J. J. D. Orcutt, and J. Ger-ritsen. Functional response and fitnessin a generalist filter feeder, Daphniamagna (Cladocera: Crustacea). Ecology,64:735–742, 1983. CODEN ECOLAR.ISSN 0012-9658.

Tajima:1983:ERD

[133] F. Tajima. Evolutionary relationshipsof DNA sequences in finite population.Genetics, 105:437–460, 1983. CODENGENTAE. ISSN 0016-6731.

Gerhart:1984:CCD

[134] J. Gerhart, M. Wu, and M. W.Kirschner. Cell cycle dynamics of anM-phase-specific cytoplasmic factor inXenopus laevis oocytes and eggs. Jour-nal of Cell Biology, 98:1247–1255, 1984.CODEN JCLBA3. ISSN 0021-9525.

Glass:1984:DPE

[135] L. Glass and A. T. Winfree. Disconti-nuities in phase-resetting experiments.American Journal of Physiology, 246:R251–R258, 1984. CODEN AJPHAP.ISSN 0002-9513 (print), 2163-5773 (elec-tronic).

Glass:1984:GBP

[136] L. Glass, M. R. Guevara, J. Belair,and A. Shrier. Global bifurcations of aperiodically forced biological oscillator.Physical Review A, 29:1348–1357, 1984.CODEN PLRAAN. ISSN 1050-2947(print), 1094-1622, 1538-4446, 1538-4519.

Page 25: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 25

Hopfield:1984:NNG

[137] J. J. Hopfield. Neural networks withgraded responses have collective com-putational properties like those of two-state neurons. Proceedings of the Na-tional Academy of Sciences of the UnitedStates of America, 81:3088–3092, 1984.CODEN PNASA6. ISSN 0027-8424(print), 1091-6490 (electronic).

Keener:1984:GBP

[138] J. P. Keener and L. Glass. Global Bifur-cations of a periodically forced nonlin-ear oscillator. Journal of MathematicalBiology, 21:175–190, 1984. CODEN JM-BLAJ. ISSN 0303-6812.

Mackey:1984:DRI

[139] M. C. Mackey and U. an der Heiden. Thedynamics of recurrent inhibition. Jour-nal of Mathematical Biology, 19:211–225, 1984. CODEN JMBLAJ. ISSN0303-6812.

McMahon:1984:MRL

[140] T. A. McMahon. Muscles, Reflexes,and Locomotion. Princeton Univer-sity Press, Princeton, NJ, USA, 1984.ISBN 0-691-08322-3, 0-691-02376-X (pa-perback). xvi + 331 pp. LCCN QP321.M338 1984.

Saunders:1984:GNS

[141] I. W. Saunders, S. Tavare, and G. A.Watterson. On the genealogy of nestedsubsamples from a haploid population.Advances in Applied Probability, 16:471–491, 1984. CODEN AAPBBD.ISSN 0001-8678 (print), 1475-6064 (elec-tronic).

Shmida:1984:CPS

[142] A. Shmida and S. Ellner. Coexistence ofplant species with similar niches. Vegeta-tio, 58:29–55, 1984. CODEN VGTOA4.ISSN 0042-3106.

Tyson:1984:CND

[143] J. J. Tyson. The control of nuclear di-vision in Physarum polycephalum. InNurse and Streiblova [525], pages 175–190. ISBN 0-442-30778-0, 0-17-771103-5. LCCN QR73.7 .M53 1984.

Drazin:1985:HS

[144] P. G. Drazin and W. H. Reid. Hydrody-namic Stability. Cambridge UniversityPress, New York, NY, 1985.

Ellner:1985:EGS

[145] S. Ellner. ESS germination strategies inrandomly varying environments. The-oretical Population Biology, 28:50–116,1985. CODEN TLPBAQ. ISSN 0040-5809.

Heiden:1985:SPS

[146] U. an der Heiden. Stochastic propertiesof simple differential-delay equations. InMeinardus and Nurnberger [527], page351. ISBN 3-7643-1733-7. LCCN QA371.D37 1985.

Holt:1985:PDT

[147] R. D. Holt. Population dynamics intwo-patch environments; some anoma-lous consequences of an optimal habitatdistribution. Theoretical Population Bi-ology, 28:181–208, 1985. CODEN TLP-BAQ. ISSN 0040-5809.

Huxley:1985:CBD

[148] H. E. Huxley and M. Kress. Cross-bridge behaviour during muscle contrac-

Page 26: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 26

tion. Journal of Muscle Research CellMotility, 6:153–161, 1985. CODEN JM-RMD3. ISSN 0142-4319.

Kessler:1985:CCP

[149] J. O. Kessler. Co-operative and concen-trative phenomena of swimming micro-organisms. Contemporary physics, 26:147–166, 1985. CODEN CTPHAF.ISSN 0010-7514 (print), 1366-5812 (elec-tronic).

Kessler:1985:HFM

[150] J. O. Kessler. Hydrodynamic focusing ofmotile algal cells. Nature, 313:218–220,1985. CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).

McQueen:1985:CDB

[151] D. M. McQueen and C. S. Peskin.Computer-assisted design of butterflybileaflet valves for the mitral posi-tion. Scandinavian Journal of Tho-racic and Cardiovascular Surgery, 19:139–148, 1985. CODEN SJTCAO. ISSN0036-5580.

Meisner:1985:ETA

[152] J. S. Meisner, D. M. McQueen,Y. Ishida, H. O. Vetter, U. Bortolotti,J. A. Strom, R. W. M. Frater, C. S. Pe-skin, and E. L. Yellin. Effects of timingof atrial systole on LV filling and mitralvalve closure: computer and dog studies.American Journal of Physiology, 249:H604–H619, 1985. CODEN AJPHAP.ISSN 0002-9513 (print), 2163-5773 (elec-tronic).

Murdoch:1985:TDT

[153] W. W. Murdoch and E. McCauley.Three distinct types of dynamic behav-ior shown by a single planktonic sys-

tem. Nature, 316:628–630, 1985. CO-DEN NATUAS. ISSN 0028-0836 (print),1476-4687 (electronic).

Othmer:1985:MAT

[154] H. G. Othmer. The mathematical aspectof temporal oscillations in reacting sys-tems. In Field and Burger [526], pages 7–54. ISBN 0-471-89384-6. LCCN QD502.O83 1985. US$85.00.

Othmer:1985:MSR

[155] H. G. Othmer, P. B. Monk, and P. E.Rapp. A model for signal relay andadaptation in Dictyostelium discoideum.Part II. Analytical and numerical re-sults. Mathematical Biosciences, 77:77–139, 1985. CODEN MABIAR. ISSN0025-5564.

Petrofsky:1985:CCM

[156] J. S. Petrofsky and C. A. Phillips.Closed-loop control of movement ofskeletal muscle. CRC critical reviews inbiomedical engineering, 13:35–96, 1985.CODEN CRBEDR. ISSN 0278-940X.

Sommer:1985:GCB

[157] J. R. Sommer and B. Scherer. Geome-try of cell and bundle appositions in car-diac muscle: light microscopy. AmericanJournal of Physiology, 248:H792–H803,1985. CODEN AJPHAP. ISSN 0002-9513 (print), 2163-5773 (electronic).

Woledge:1985:EAM

[158] R. Woledge, N. Curtin, and E. Homsher.Energetic Aspects of Muscle Contrac-tion. Academic Press, New York, NY,1985. ISBN 0-12-761580-6. xiii + 359pp. LCCN QP321 .W58 1985.

Page 27: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 27

Yanagida:1985:SDA

[159] T. Yanagida, T. Arata, and F. Oo-sawa. Sliding distance of actin filamentinduced by a myosin cross-bridge dur-ing one ATP hydrolysis cycle. Nature,316:366–369, 1985. CODEN NATUAS.ISSN 0028-0836 (print), 1476-4687 (elec-tronic).

Chen:1986:PGF

[160] P-S. Chen, P. D. Wolf, F. J. Claydon,III, E. G. Dixon, H. J. Vidaillet, Jr.,N. D. Danieley, T. C. Pilkington, andR. E. Ideker. The potential gradient fieldcreated by epicardial defibrillation elec-trodes in dogs. Circulation, 74:626–636,1986. CODEN CIRCAZ. ISSN 0009-7322.

Cooke:1986:MMC

[161] R. Cooke. The mechanism of musclecontraction. CRC Critical Reviews inBiochemistry, 21:53–118, 1986. CODENCRBCAI. ISSN 0045-6411.

Devaney:1986:ICD

[162] Robert L. Devaney. An Introduction toChaotic Dynamical Systems. W. Ben-jamin, New York, 1986. ISBN 0-8053-1601-9. xii + 320 pp. LCCN QA614.8.D48 1986.

Doedel:1986:ASC

[163] E. Doedel. AUTO: Software for contin-uation and bifurcation problems in or-dinary differential equations. Technicalreport, California Institute of Technol-ogy, 1986.

Ellner:1986:GDP

[164] S. Ellner. Germination dimorphisms andparent-offspring conflict in seed germi-nation. Journal of Theoretical Biology,

123:173–185, 1986. CODEN JTBIAP.ISSN 0022-5193.

Glaser:1986:AVR

[165] R. W. Glaser. Appearance of a “criti-cal voltage” in reversible electric break-down. Studia Biophysica, 16:77–86,1986. CODEN STBIBN. ISSN 0081-6337.

Guevara:1986:PRS

[166] M. R. Guevara, A. Shrier, and L. Glass.Phase resetting of spontaneously beat-ing embryonic ventricular heart cell ag-gregates. American Journal of Physiol-ogy, 251:H1298–H1305, 1986. CODENAJPHAP. ISSN 0002-9513 (print), 2163-5773 (electronic).

Hedrick:1986:GPH

[167] P. W. Hedrick. Genetic polymorphism inheterogeneous environments: a decadelater. Annual Review of Ecology andSystematics, 17:535–566, 1986. CODENARECBC. ISSN 0066-4162.

Kessler:1986:ICF

[168] J. O. Kessler. Individual and collec-tive fluid dynamics of swimming cells.Journal of Fluid Mechanics, 173:191–205, 1986. CODEN JFLSA7. ISSN 0022-1120.

Metz:1986:DPS

[169] J. A. J. Metz and O. Diekmann. TheDynamics of Physiologically StructuredPopulations, volume 68 of Lecture Notesin Biomathematics. Springer-Verlag,Berlin, Germany / Heidelberg, Ger-many / London, UK / etc., 1986. ISBN0-387-16786-2 (New York), 3-540-16786-2 (Berlin). xii + 511 pp. LCCN QH352.D961 1986.

Page 28: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 28

Plonsey:1986:EMM

[170] R. Plonsey and R. C. Barr. Effect ofmicroscopic and macroscopic disconti-nuities on the response of cardiac tis-sue to defibrillating (stimulating) cur-rents. Medical & Biological Engineering& Computing, 24:130–136, 1986. CO-DEN MBECDY. ISSN 0140-0118.

Powell:1986:QTR

[171] K. T. Powell, E. G. Derrick, and J. C.Weaver. A quantitative theory of re-versible electrical breakdown of bilayermembranes. Bioelectrochemistry andBioenergetics, 15:243–255, 1986. CO-DEN BEBEBP. ISSN 0302-4598.

Russell:1986:CFI

[172] P. Russell and P. Nurse. cdc25+ func-tions as an inducer in the mitotic controlof fission yeast. Cell, 45:145–153, 1986.CODEN CELLB5. ISSN 0092-8674.

Simanis:1986:CCC

[173] V. Simanis and P. Nurse. The cell cyclecontrol gene cdc2 of fission yeast encodesa protein kinase potentially regulated byphosphorylation. Cell, 45:261–268, 1986.CODEN CELLB5. ISSN 0092-8674.

Swann:1986:PPI

[174] K. Swann and M. Whitaker. The partplayed by inositol trisphosphate and cal-cium in the propagation of the fertiliza-tion wave in sea urchin eggs. Journal ofCell Biology, 103(6 (part 1)):2333–2342,1986. CODEN JCLBA3. ISSN 0021-9525.

Woods:1986:RTR

[175] N. M. Woods, K. S. R. Cuthberson,and P. H. Cobbold. Repetitive tran-sient rises in cytoplasmic free calcium

in hormone-stimulated hepatocytes. Na-ture, 319:600–602, 1986. CODEN NAT-UAS. ISSN 0028-0836 (print), 1476-4687(electronic).

Zachmanoglou:1986:IPD

[176] E. C. Zachmanoglou and Dale W.Thoe. Introduction to Partial Differen-tial Equations with Applications. Dover,1986. ISBN 0-486-65251-3. x + 405 pp.LCCN QA377 .Z32 1986. US$9.95.

Bull:1987:EPV

[177] J. J. Bull. Evolution of phenotypic vari-ance. Evolution, 41:313–315, 1987. CO-DEN EVOLAO. ISSN 0014-3820.

Cann:1987:MDH

[178] R. Cann, M. Stoneking, and A. C. Wil-son. Mitochondrial DNA and humanevolution. Nature, 325:31–36, 1987. CO-DEN NATUAS. ISSN 0028-0836 (print),1476-4687 (electronic).

Carvalho:1987:CED

[179] G. R. Carvalho and D. J. Crisp. Theclonal ecology of Daphnia magna (crus-tacea: cladocera) I. Temporal changesin the clonal structure of a natural pop-ulation. Journal of Animal Ecology, 56:453–468, 1987. CODEN JAECAP. ISSN0021-8790.

Derrida:1987:LEP

[180] B. Derrida, K. Mecheri, and J. L.Pichard. Lyapounov exponents of prod-ucts of random matrices: weak disorderexpansion. Journal de Physique, 48:733–740, 1987. CODEN JOPQAG. ISSN0302-0738.

Glass:1987:UBC

[181] L. Glass, M. R. Guevara, and A. Shrier.Universal bifurcations and the classifi-

Page 29: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 29

cation of cardiac arrhythmias. Annalsof the New York Academy of Sciences,504:168–178, 1987. CODEN ANYAA9.ISSN 0077-8923 (print), 1749-6632 (elec-tronic).

Heiden:1987:MFA

[182] U. an der Heiden and M. C. Mackey.Mixed feedback: A paradigm for regu-lar and irregular oscillations. In Rensinget al. [529], pages 30–46. ISBN 0-387-17765-5. LCCN QP84.6 .T44 1987.

Ikeda:1987:HDC

[183] I. Ikeda and K. Matsumoto. High di-mensional chaotic behavior in systemswith time-delayed feedback. Physica D,29:223–235, 1987. CODEN PDNPDT.ISSN 0167-2789 (print), 1872-8022 (elec-tronic).

Jordan:1987:NOD

[184] D. W. Jordan and P. Smith. Non-linear Ordinary Differential Equations.Clarendon Press, Oxford, second edi-tion, 1987. ISBN 0-19-859657-X, 0-19-859656-1 (paperback). ix + 381 pp.LCCN QA372 .J581 1987.

Krassowska:1987:CFS

[185] W. Krassowska, T. C. Pilkington, andR. E. Ideker. The closed form solutionto the periodic core-conductor model us-ing asymptotic analysis. IEEE Trans-actions on Biomedical Engineering, 34(519–531), 1987. CODEN IEBEAX.ISSN 0018-9294.

Krebs:1987:IBE

[186] J. R. Krebs and N. B. Davies. An Intro-duction to Behavioral Ecology. SinauerAssociates, Inc., Sunderland, MA, sec-ond edition, 1987. ISBN 0-87893-431-6,

0-87893-428-6 (paperback). ix + 389 pp.LCCN QH371 .K731 1987b.

McCauley:1987:CSP

[187] E. McCauley and W. W. Murdoch.Cyclic and stable populations: Planktonas paradigm. American Naturalist, 129:97–121, 1987. CODEN AMNTA4. ISSN0003-0147.

Ripley:1987:SS

[188] Brian D. Ripley. Stochastic Simulation.Wiley series in probability and mathe-matical statistics. John Wiley and Sons,New York, NY, USA; London, UK; Syd-ney, Australia, 1987. ISBN 0-471-81884-4. xi + 237 pp. LCCN QA76.9.C65 R5711987. US$29.95.

Rodhouse:1987:CBC

[189] P. G. Rodhouse and C. M. Roden. Car-bon budget for a coastal inlet in relationto an intensive cultivation of suspensionfeeding bivalve molluscs. Marine Ecol-ogy Progress Series, 36:225–236, 1987.CODEN MESEDT. ISSN 0171-8630.

Russell:1987:NRM

[190] P. Russell and P. Nurse. Negative regu-lation of mitosis by wee1+, a gene encod-ing a protein kinase homolog. Cell, 49:559–567, 1987. CODEN CELLB5. ISSN0092-8674.

Seger:1987:WIB

[191] J. Seger and H. J. Brockmann. What isbeg-hedging? Oxford Surveys in Evolu-tionary Biology, 4:182–211, 1987. CO-DEN OSEBE3. ISSN 0265-072X.

Winfree:1987:WTB

[192] A. T. Winfree. When Time BreaksDown: The Three Dimensional Dynam-ics of Electrochemical Waves and Car-

Page 30: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 30

diac Arrhythmia. Princeton Univer-sity Press, Princeton, NJ, USA, 1987.ISBN 0-691-08443-2, 0-691-02402-2 (pa-perback). xiv + 339 pp. LCCN QP84.6.W56 1987.

Andrews:1988:HFO

[193] B. J. Andrews, R. H. Baxendale, R. Bar-nett, G. F. Phillips, T. Yamazaki, J. P.Paul, and P. Freeman. Hydrid FESorthosis incorporating closed loop con-trol and sensory feedback. Journalof biomedical engineering, 10:189–195,1988. CODEN JBIEDR. ISSN 0141-5425.

Bohrer:1988:SME

[194] R. N. Bohrer and W. Lampert. Simulta-neous measurement of the effect of foodconcentration on assimilation and respi-ration in Daphnia magna straus. Func-tional Ecology, 2:463–471, 1988. CO-DEN FECOE5. ISSN 0269-8463.

Chernysh:1988:MED

[195] A. M. Chernysh, V. Y. Tabak, and M. S.Bogushevich. Mechanisms of electricaldefibrillation of the heart. Resuscitation,16:169–178, 1988. CODEN RSUSBS.ISSN 0300-9572.

Frazier:1988:EFR

[196] D. W. Frazier, W. Krassowska, P-S. Chen, P. D. Wolf, E. G. Dixon,W. M. Smith, and R. E. Ideker. Ex-tracellular field required for excitationin three-dimensional anisotropic caninemyocardium. Circulation Research, 63:147–164, 1988. CODEN CIRUAL. ISSN0009-7330.

Glaser:1988:REB

[197] R. W. Glaser, S. L. Leikin, L. V. Cher-nomordik, V. F. Pastushenko, and A. I.

Sokirko. Reversible electrical breakdownof lipid bilayers: formation and evolu-tion of pores. Biochimica et BiophysicaActa, 940:275–287, 1988. CODEN ABB-PAP. ISSN 0001-5253.

Glass:1988:CCR

[198] L. Glass and M. C. Mackey. FromClocks to Chaos: The Rhythms of Life.Princeton University Press, Princeton,NJ, USA, 1988. ISBN 0-691-08495-5(hardcover), 0-691-08496-3 (paperback).xvii + 248 pp. LCCN QH527 .G59511988.

Guevara:1988:PLR

[199] M. R. Guevara, A. Shrier, and L. Glass.Phase locked rhythms in periodicallystimulated heart cell aggregates. Ameri-can Journal of Physiology, 254:H1–H10,1988. CODEN AJPHAP. ISSN 0002-9513 (print), 2163-5773 (electronic).Heart Circ. Physiol. 23.

Hairston:1988:IVS

[200] N. G. Hairston, Jr. Interannual varia-tion in seasonal predation: its origin andecological importance. Limnology andOceanography, 33:1245–1253, 1988. CO-DEN LIOCAH. ISSN 0024-3590.

Hounsgaard:1988:BDC

[201] J. Hounsgaard, H. Hultborn, B. Jes-person, and O. Kiehn. Bistability ofα-motoneurones in the decerebrate catand in the acute spinal cat after intra-venous 5-hydydroxytryptophan. Journalof Physiology, 405:345–367, 1988. CO-DEN JPHYA7. ISSN 0022-3751.

Claydon:1988:VCM

[202] F. J. Claydon, III, T. C. Pilkington,A. S. L. Tang, M. N. Morrow, and R. E.Ideker. A volume conductor model of

Page 31: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 31

the thorax for the study of defibrillationfields. IEEE Transactions on Biomedi-cal Engineering, BME-35:331–341, 1988.CODEN IEBEAX. ISSN 0018-9294.

Jacob:1988:RSC

[203] R. Jacob, J. E. Merritt, T. J. Hallam,and T. J. Rink. Repetitive spikes in cy-toplasmic calcium evoked by histaminein human endothelial cells. Nature, 335:40–45, September 1988. CODEN NAT-UAS. ISSN 0028-0836 (print), 1476-4687(electronic).

Karlin:1988:NPM

[204] S. Karlin. Non-gaussian phenotypicmodels of quantitative traits. In Eisenet al. [530], pages 123–144. ISBN 0-87893-900-8, 0-87893-901-6 (paperback).

Koshland:1988:CMS

[205] D. E. Koshland. Chemotaxis as amodel second-messenger system. Bio-chemistry, 27(16):5829–5834, 1988. CO-DEN BICHAW. ISSN 0006-2960.

Kothiyal:1988:TCM

[206] K. P. Kothiyal, B. Shankar, L. J. Fo-gelson, and N. V. Thakor. Three-dimensional computer model of electricfields in internal defibrillation. Proceed-ings of the IEEE, 76:720–730, 1988. CO-DEN IEEPAD. ISSN 0018-9219 (print),1558-2256 (electronic).

Lin:1988:MAD

[207] C. C. Lin and L. A. Segel. MathematicsApplied to Deterministic Problems in theNatural Sciences. SIAM Press, Philadel-phia, PA, 1988. ISBN 0-89871-229-7. xxi+ 609 pp. LCCN QA37.2 .L55 1988.

Lohka:1988:PMF

[208] M. J. Lohka, M. K. Hayes, and J. L.Maller. Purification of maturation-promoting factor, an intracellular regu-lator of early mitotic events. Proceed-ings of the National Academy of Sci-ences of the United States of America,85:3009–3013, 1988. CODEN PNASA6.ISSN 0027-8424 (print), 1091-6490 (elec-tronic).

Longtin:1988:COH

[209] A. Longtin and J. G. Milton. Com-plex oscillations in the human light re-flex with ‘mixed’ and delayed feedback.Mathematical Biosciences, 90:183–199,1988. CODEN MABIAR. ISSN 0025-5564.

Lupu-Meiri:1988:HAR

[210] M. Lupu-Meiri, H. Shapira, andY. Oron. Hemispheric asymmetryof rapid chloride responses to inositoltrisphosphate and calcium in Xenopusoocytes. FEBS Letters, 240:83–87, 1988.CODEN FEBLAL. ISSN 0014-5793.

McCauley:1988:SMV

[211] E. McCauley, W. W. Murdoch, andS. Watson. Simple models and varia-tion in plankton densities among lakes.American Naturalist, 132:383–403, 1988.CODEN AMNTA4. ISSN 0003-0147.

Milton:1988:IPC

[212] J. G. Milton, A. Longtin, T. H.Kirkham, and G. S. Francis. Irregu-lar pupil cycling as a characteristic ab-normality in patients with demyelinativeoptic neuropathy. American Journal ofOphthalmology, 105:402–407, 1988. CO-DEN AJOPAA. ISSN 0002-9394.

Page 32: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 32

Osterhaus:1988:IVC

[213] A. D. M. E. Osterhaus and E. J. Ved-der. Identification of virus causing recentseal deaths. Nature, 338:20, 1988. CO-DEN NATUAS. ISSN 0028-0836 (print),1476-4687 (electronic).

Pedley:1988:GBP

[214] T. J. Pedley, N. A. Hill, and J. O.Kessler. The growth of bioconvectionpatterns in a uniform suspension of gyro-tactic micro-organisms. Journal of FluidMechanics, 195:223–237, 1988. CODENJFLSA7. ISSN 0022-1120.

Reulen:1988:SRD

[215] J. P. H. Reulen, J. T. Marcus, M. J. vanGilst, D. Koops, J. E. Bos, G. Tiesinga,F. R. de Vries, and K. Boshuizen. Stim-ulation and recording of dynamic pupil-lary reflex: the IRIS technique. Medi-cal & Biological Engineering & Comput-ing, 26:27–32, 1988. CODEN MBECDY.ISSN 0140-0118.

Schoenberg:1988:CMA

[216] M. Schoenberg. Characterization ofthe myosin adenosine triphosphate(M•ATP) crossbridge in rabbit and frogskeletal muscle fibers. Biophysical Jour-nal, 54:135–148, 1988. CODEN BIO-JAU. ISSN 0006-3495.

Turelli:1988:PGM

[217] M. Turelli. Population genetic mod-els for polygenic variation and evolu-tion. In Eisen et al. [530], pages 601–618. ISBN 0-87893-900-8, 0-87893-901-6(paperback).

Urabe:1988:EFC

[218] J. Urabe. Effect of food conditions onthe net production of Daphnia galeata:

separate effects on growth and repro-duction. Bulletin of Plankton Societyof Japan, 35:159–174, 1988. CODENPSJBAZ. ISSN 0387-8961.

Alberts:1989:MBC

[219] B. Alberts, D. Bray, J. Lewis, M. Raff,K. Roberts, and J. D. Watson. Molecu-lar biology of the cell. Garland Publish-ing, Inc., New York, NY, USA, secondedition, 1989. ISBN 0-8240-3695-6, 0-8240-3696-4 (paperback). xliii + 1294 +67 pp. LCCN QH581.2 .M64 1994.

Arditi:1989:CPD

[220] R. Arditi and L. R. Ginzburg. Cou-pling in predator-prey dynamics: Ratio-dependence. Journal of Theoretical Bi-ology, 139:311–326, 1989. CODEN JT-BIAP. ISSN 0022-5193.

Barton:1989:EQG

[221] N. H. Barton and M. Turelli. Evolution-ary quantitative genetics: How little dowe know? Annual Review of Genetics,23:337–370, 1989. CODEN ARVGB7.ISSN 0066-4197.

Bell:1989:SPM

[222] John B. Bell, Phillip Colella, and Har-land M. Glaz. A second-order projectionmethod for the incompressible Navier–Stokes equations. Journal of Computa-tional Physics, 85(2):257–283, December1989. CODEN JCTPAH. ISSN 0021-9991 (print), 1090-2716 (electronic).

Caswell:1989:MPM

[223] Hal Caswell. Matrix Population Mod-els: Construction, Analysis, and Inter-pretation. Sinauer Associates, Inc., Sun-derland, MA, 1989. ISBN 0-87893-094-9(hardcover), 0-87893-093-0 (paperback).xiv + 328 pp. LCCN QH352 .C3751

Page 33: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 33

1989. US$28.95 (paperback), US$50.00(hardcover).

Chernomordik:1989:EBL

[224] L. V. Chernomordik and Y. A. Chiz-madzhev. Electrical breakdown of lipidbilayer membranes. phenomenology andmechanism. In Neumann et al. [531],pages 83–95. ISBN 0-306-43043-6.LCCN QH585.5.E48 E44 1989.

Chesson:1989:ISB

[225] P. L. Chesson and S. Ellner. Invasibil-ity and stochastic boundedness in mono-tonic competition models. Journal ofMathematical Biology, 27:117–138, 1989.CODEN JMBLAJ. ISSN 0303-6812.

Donkin:1989:QSR

[226] P. Donkin, J. Widdows, S. V. Evans,C. M. Worral, and M. Carr. Quan-titative structure-activity relationshipsfor the effect of hydrophobic organicchemicals on rate of feeding by mussels(Mytilus edulis). Q. Aquatic Toxicology,15:277–294, 1989.

Falconer:1989:IQG

[227] D. S. Falconer. Introduction to Quan-titative Genetics. John Wiley andSons, New York, NY, USA; London,UK; Sydney, Australia, third edition,1989. ISBN 0-470-21162-8 (Wiley), 0-582-01642-8 (pbk). xii + 438 pp. LCCNQH452.7 .F341 1989.

Griffiths:1989:GPI

[228] R. C. Griffiths. Genealogical-treeprobabilities in the infinitely-many-sitesmodel. Journal of Mathematical Biology,27:667–68, 1989. CODEN JMBLAJ.ISSN 0303-6812.

Harris:1989:CSC

[229] Elizabeth H. Harris. The Chlamy-domonas Sourcebook: a comprehensiveguide to biology and laboratory use. Aca-demic Press, San Diego, 1989. ISBN0-12-326880-X. xiv + 780 pp. LCCNQK569.C486H37 1989.

Hill:1989:GBP

[230] N. A. Hill, T. J. Pedley, and J. O.Kessler. Growth of bioconvection pat-terns in a suspension of gyrotacticmicro-organisms in a layer of finitedepth. Journal of Fluid Mechanics, 208:509–543, 1989. CODEN JFLSA7. ISSN0022-1120.

Hoyt:1989:DTS

[231] R. H. Hoyt, M. L. Cohen, and J. E. Saf-fitz. Distribution and three-dimensionalstructure of intercellular junctions in ca-nine myocardium. Circulation Research,64:563–574, 1989. CODEN CIRUAL.ISSN 0009-7330.

Jackson:1989:PND

[232] E. A. Jackson. Perspectives of NonlinearDynamics. Cambridge University Press,Cambridge, 1989. ISBN 0-521-42632-4(vol 1, paperback), 0-521-34504-9 (vol.1), 0-521-42633-2 (vol. 2, paperback), 0-521-35458-7 (vol. 2). LCCN QA845 .J281989 v.1-2 (1989-1990). Two volumes.

Lampert:1989:ASV

[233] W. Lampert. The adaptive significanceof vertical migration of zooplankton.Functional Ecology, 3:21–27, 1989. CO-DEN FECOE5. ISSN 0269-8463.

Leibold:1989:REE

[234] M. A. Leibold. Resource edibility andthe effects of predators and productivity

Page 34: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 34

on the outcome of trophic interactions.American Naturalist, 134:922–949, 1989.CODEN AMNTA4. ISSN 0003-0147.

Longtin:1989:ITF

[235] A. Longtin and J. G. Milton. Insightinto the transfer function, gain and os-cillation onset for the pupil light reflexusing delay-differential equations. Bio-logical Cybernetics, 61:51–58, 1989. CO-DEN BICYAF. ISSN 0340-1200.

Longtin:1989:MAO

[236] A. Longtin and J. G. Milton. Modellingautonomous oscillations in the humanpupil light reflex using nonlinear delay-differential equations. Bulletin of Math-ematical Biology, 51:605–624, 1989. CO-DEN BMTBAP. ISSN 0092-8240.

Milton:1989:CDB

[237] J. G. Milton, A. Longtin, A. Beuter,M. C. Mackey, and L. Glass. Complexdynamics and bifurcations in neurology.Journal of Theoretical Biology, 138:129–147, 1989. CODEN JTBIAP. ISSN0022-5193.

Monk:1989:CAO

[238] P. B. Monk and H. G. Othmer. CyclicAMP oscillations in suspensions of Dic-tyostelium discoideum. Philosophicaltransactions of the Royal Society of Lon-don, 323(1215):185–224, 1989. CODENPTRSAV. ISSN 0370-2316.

Murray:1989:MB

[239] J. D. Murray. Mathematical Biology, vol-ume 19 of Biomathematics. Springer,New York, 1989. ISBN 0-387-19460-6(New York), 3-540-19460-6 (Berlin). xiv+ 767 pp. LCCN QH323.5 .M881 1989.

Nisbet:1989:SPM

[240] R. M. Nisbet, W. S. C. Gurney, W. W.Murdoch, and E. McCauley. Structuredpopulation models: A tool for linking ef-fects at individual and population level.Biological Journal of the Linnean Soci-ety, 37:79–99, 1989. CODEN BJLSBG.ISSN 0024-4066.

Pate:1989:MCA

[241] E. Pate and R. Cooke. A model ofcrossbridge action: the effects of ATP,ADP, and pi. Journal of Muscle Re-search Cell Motility, 10:181–196, 1989.CODEN JMRMD3. ISSN 0142-4319.

Pease:1989:MPG

[242] C. M. Pease, R. Lande, and J. J. Bull.A model of population growth, disper-sal, and evolution in a changing envi-ronment. Ecology, 70:1657–1664, 1989.CODEN ECOLAR. ISSN 0012-9658.

Peskin:1989:FLV

[243] C. S. Peskin. Fiber-architecture ofthe left ventricular wall: an asymp-totic analysis. Communications on Pureand Applied Mathematics (New York),42(1):79–113, January 1989. CODENCPAMAT, CPMAMV. ISSN 0010-3640(print), 1097-0312 (electronic).

Phillipi:1989:HOE

[244] T. Phillipi and J. Seger. Hedging one’sevolutionary bets, revisited. Trends inEcology and Evolution, 4:41–44, 1989.CODEN TREEEQ. ISSN 0169-5347.

Rooney:1989:CCC

[245] Thomas A. Rooney, Ellen J. Sass, andAndrew P. Thomas. Characterizationof cytosolic calcium oscillations induced

Page 35: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 35

by phenylephrine and vasopressin in sin-gle fura-2-loaded hepatocytes. Jour-nal of biological chemistry, 264(29):17131–17141, October 1989. CODENJBCHA3. ISSN 0021-9258.

Stasio:1989:SBF

[246] B. T. De Stasio. The seed bank of afreshwater crustacean: copepodology forthe plant ecologist. Ecology, 70:1377–1389, 1989. CODEN ECOLAR. ISSN0012-9658.

Taylor:1989:ESO

[247] P. B. Taylor. Evolutionary stability inone-parameter models under weak se-lection. Theoretical Population Biology,36:125–143, 1989. CODEN TLPBAQ.ISSN 0040-5809.

Zauderer:1989:PDE

[248] Erich Zauderer. Partial differentialequations of applied mathematics. JohnWiley and Sons, New York, second edi-tion, 1989. ISBN 0-471-61298-7. xiii +891 pp. LCCN QA377 .Z38 1988.

Acheson:1990:EFD

[249] D. J. Acheson. Elementary Fluid Dy-namics. Oxford applied mathematicsand computing science series. OxfordUniversity Press, 1990. ISBN 0-19-859660-X (case), 0-19-859679-0 (paper-back). ix + 397 pp. LCCN TA357.A2761990. US$67.50 (case), US$22.50 (pa-perback).

Alexander:1990:RSF

[250] J. C. Alexander, E. J. Doedel, andH. G. Othmer. On the resonancestructure in a forced excitable system.SIAM Journal on Applied Mathematics,

50(5):1373–1418, October 1990. CO-DEN SMJMAP. ISSN 0036-1399 (print),1095-712X (electronic).

Amann:1990:ODE

[251] Herbert Amann. Ordinary DifferentialEquations: An introduction to nonlin-ear analysis. de Gruyter, Berlin, 1990.ISBN 0-89925-552-3, 3-11-011515-8. xii+ 458 pp. LCCN QA372 .A4313 1990.US$96.00. Translated from the Germanby Gerhard Metzen.

Arrowsmith:1990:IDS

[252] D. K. Arrowsmith and C. M. Place.An Introduction to Dynamical Sys-tems. Cambridge University Press, 1990.ISBN 0-521-31650-2 (paperback), 0-521-30362-1 (hardcover). 423 pp. LCCNQA614.8 .A77 1990.

Berridge:1990:ICM

[253] M. J. Berridge. Inositol 1,4,5-trisphosphate-induced calcium mobiliza-tion is localized in Xenopus oocytes.Proceedings of the Royal Society of Lon-don. Series B. Biological sciences, 238:235–343, 1990. CODEN PRLBA4.ISSN 0962-8452 (print), 1471-2954 (elec-tronic).

Bressloff:1990:NDB

[254] P. C. Bressloff and J. Stark. Neuronaldynamics based on discontinuous circlemaps. Physics Letters A, 150:187–195,1990. CODEN PYLAAG. ISSN 0375-9601 (print), 1873-2429 (electronic).

DeLisle:1990:EIT

[255] S. DeLisle, K. H. Krause, G. Denning,B. V. L. Potter, and M. J. Welsh. Ef-fect of inositol trisphosphate and cal-cium on oscillating elevations of intracel-

Page 36: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 36

lular calcium in Xenopus oocytes. Jour-nal of biological chemistry, 265:11726–11730, 1990. CODEN JBCHA3. ISSN0021-9258.

Frank:1990:EVE

[256] S. A. Frank and M. Slatkin. Evolution ina variable environment. American Natu-ralist, 136:244–260, 1990. CODEN AM-NTA4. ISSN 0003-0147.

Gilmour:1990:PRC

[257] R. F. Gilmour. Phase resetting of cir-cus movement reentry in cardiac tissue.In Zipes and Jalife [532], pages 396–402.ISBN 0-7216-1408-6. LCCN WG330 C381990.

Goldbeter:1990:MMS

[258] A. Goldbeter, G. Dupont, and M. J.Berridge. Minimal model for signal-induced Ca oscillations and for their fre-quency encoding through protein phos-phorylation. Proceedings of the Na-tional Academy of Sciences of the UnitedStates of America, 87:1461–1465, 1990.CODEN PNASA6. ISSN 0027-8424(print), 1091-6490 (electronic).

Gurney:1990:PED

[259] W. S. C. Gurney, E. McCauley, R. M.Nisbet, and W. W. Murdoch. The phys-iological ecology of Daphnia : A dynamicmodel of growth and reproduction. Ecol-ogy, 71(2):716–732, April 1990. CODENECOLAR. ISSN 0012-9658.

Hairston:1990:FSR

[260] N. G. Hairston, Jr. and T. A. Dillon.Fluctuating selection and response in apopulation of freshwater copepods. Evo-lution, 44:1796–1805, 1990. CODENEVOLAO. ISSN 0014-3820.

Harada:1990:MCA

[261] Y. Harada, T. Sakurada, T. Aoki,D. D. Thomas, and T. Yanagida.Mechanochemical coupling in acto-myosin energy transduction studies inan in vitro movement assay. Journal ofMolecular Biology, 216:49–68, 1990. CO-DEN JMOBAK. ISSN 0022-2836.

Heiden:1990:MOB

[262] U. an der Heiden and K. Reichard. Mul-titude of oscillatory behavior in a non-linear second order differential-differenceequation. Zeitschrift fur AngewandteMathematik und Mechanik, 70:621–624,1990. CODEN ZAMMAX. ISSN 0044-2267 (print), 1521-4001 (electronic).

Heiden:1990:OMN

[263] U. an der Heiden, A. Longtin, M. C.Mackey, J. G. Milton, and R. Scholl. Os-cillatory modes in a nonlinear second-order differential equation with delay.Journal of Dynamics and DifferentialEquations, 2(4):423–449, October 1990.CODEN JDDEEH. ISSN 1040-7294.

Kleinfeld:1990:CCI

[264] D. Kleinfeld, F. Raccuia-Behling, andH. J. Chiel. Circuits constructed fromidentified Aplysia neurons exhibit mul-tiple patterns of persistent activity. Bio-physical Journal, 57(4):697–715, 1990.CODEN BIOJAU. ISSN 0006-3495.

Krassowska:1990:PDT

[265] W. Krassowska, D. W. Frazier, T. C.Pilkington, and R. E. Ideker. Poten-tial distribution in three-dimensional pe-riodic myocardium: Part II. applica-tion to extracellular stimulation. IEEETransactions on Biomedical Engineer-

Page 37: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 37

ing, BME-37(3):267–284, March 1990.CODEN IEBEAX. ISSN 0018-9294.

Longtin:1990:NCB

[266] A. Longtin, J. G. Milton, J. E. Bos,and M. C. Mackey. Noise and crit-ical behavior of the pupil light re-flex at oscillation onset. Physical Re-view A, 41:6992–7005, 1990. CODENPLRAAN. ISSN 1050-2947 (print),1094-1622, 1538-4446, 1538-4519.

McCauley:1990:GRM

[267] E. McCauley, W. W. Murdoch, andR. M. Nisbet. Growth, reproduction,and mortality of Daphnia pulex : life atlow food. Functional Ecology, 4:505–514,1990. CODEN FECOE5. ISSN 0269-8463.

McCauley:1990:PDE

[268] E. McCauley and W. W. Murdoch.Predator-prey dynamics in environ-ments rich and poor in nutrients. Na-ture, 343(6257):455–457, February 1,1990. CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).

Milton:1990:CDN

[269] J. G. Milton, U. an der Heiden,A. Longtin, and M. C. Mackey. Com-plex dynamics and noise in simple neu-ral networks with delayed mixed feed-back. Biomedica Biochimica Acta, 49:697–707, 1990. CODEN BBIADT. ISSN0232-766X.

Milton:1990:EPC

[270] John G. Milton and Andre Longtin.Evaluation of pupil constriction and di-lation from cycling measurements. Vi-sion Research (Oxford), 30(4):515–526,1990. CODEN VISRAM. ISSN 0042-6989.

Nurse:1990:UCM

[271] P. Nurse. Universal control mechanismregulating onset of M-phase. Nature,344:503–508, 1990. CODEN NATUAS.ISSN 0028-0836 (print), 1476-4687 (elec-tronic).

Ott:1990:CC

[272] E. Ott, C. Grebogi, and J. A. Yorke.Controlling chaos. Physical Review Let-ters, 64:1196–1199, 1990. CODEN PRL-TAO. ISSN 0031-9007 (print), 1079-7114 (electronic), 1092-0145.

Pedley:1990:NCM

[273] T. J. Pedley and J. O. Kessler. Anew continuum model for suspensionsof gyrotactic micro-organisms. Journalof Fluid Mechanics, 212:155–182, March1990. CODEN JFLSA7. ISSN 0022-1120.

Quan:1990:UBR

[274] W. Quan and Y. Rudy. Unidirectionalblock and reentry of cardiac excitation:A model study. Circulation Research,66(2):367–382, February 1990. CODENCIRUAL. ISSN 0009-7330.

Sepulveda:1990:FEA

[275] N. G. Sepulveda, J. P. Wikswo, Jr.,and D. S. Echt. Finite element analysisof cardiac defibrillation current distribu-tions. IEEE Transactions on BiomedicalEngineering, BME-37(4):354–365, April1990. CODEN IEBEAX. ISSN 0018-9294.

Solomon:1990:CAP

[276] M. J. Solomon, M. Glotzer, T. H. Lee,M. Philippe, and M. W. Kirschner. Cy-clin activation of p34cdc2. Cell, 63:

Page 38: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 38

1013–1024, 1990. CODEN CELLB5.ISSN 0092-8674.

Tett:1990:LLS

[277] P. Tett. Chapter 4: The photic zone.In P. J. Henning, A. K. Campbell,M. Whitfield, and L. Maddock, editors,Light and Life in the Sea. CambridgeUniversity Press, New York, NY, 1990.

Tuljapurkar:1990:PDV

[278] Shripad Tuljapurkar. Population Dy-namics in Variable Environments, vol-ume 85 of Lecture Notes in Biomath-ematics. Springer-Verlag, Berlin, Ger-many / Heidelberg, Germany / London,UK / etc., 1990. ISBN 0-387-52482-7.154 pp. LCCN HB849.51 .T85 1990.

Uyeda:1990:MSS

[279] T. Q. P. Uyeda, S. J. Kron, E. M. Mc-Nalley, K. R. Niebling, C. Toyoshima,and J. A. Spudich. The myosin stepsize: estimation from slow sliding move-ment of actin over low densities ofheavy meromyosin. Journal of Molecu-lar Biology, 214:699–710, 1990. CODENJMOBAK. ISSN 0022-2836.

Volpe:1990:RIC

[280] P. Volpe, B. H. Alderson-Lang, andG. A. Nickols. Regulation of inosi-tol 1,4,5-trisphosphate-induced Ca2+ re-lease. I. effect of Mg2+. AmericanJournal of Physiology, 258(6):C1077–C1085, June 1990. CODEN AJPHAP.ISSN 0002-9513 (print), 2163-5773 (elec-tronic).

Wilder:1990:VNS

[281] B. J. Wilder. Vagus nerve stimulationfor the control of epilepsy. Epilepsia,1990. CODEN EPILAK. ISSN 0013-9580. Supplement 2.

Zeng:1990:CRR

[282] W. Zeng, J. Morissette, R. Brochu,L. Glass, and A. Shrier. Complexrhythms resulting from overdrive sup-pression in electrically stimulated heartcell aggregates. Pacing and ClinicalElectrophysiology: PACE, 13(12):1678–1685, December 1990. ISSN 0147-8389.

Zeng:1990:TCP

[283] W. Zeng, M. Courtemanche, L. Sehn,A. Shrier, and L. Glass. Theoreticalcomputation of phase locking in embry-onic atrial heart cell aggregates. Jour-nal of Theoretical Biology, 145:225–244,1990. CODEN JTBIAP. ISSN 0022-5193.

Bezprozvanny:1991:BCC

[284] I. Bezprozvanny, J. Watras, and B. E.Ehrlich. Bell-shaped calcium-responsecurves of Ins(1,4,5)P3- and calcium-gated channels from endoplasmic rectic-ulum of cerebellum. Nature, 351:751–754, 1991. CODEN NATUAS.ISSN 0028-0836 (print), 1476-4687 (elec-tronic).

Bradshaw:1991:CLG

[285] A. D. Bradshaw. The Croonian Lecture1991: Genostasis and the limits to evo-lution. Philosophical Transactions of theRoyal Society of London Series B, Bio-logical sciences, 333:289–305, 1991.

Cobbold:1991:HCO

[286] P. H. Cobbold, A. Sanchez-Bueno, andC. J. Dixon. The hepatocyte calciumoscillator. Cell calcium, 12:87–95, 1991.CODEN CECADV. ISSN 0143-4160.

Page 39: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 39

Delisle:1991:FDC

[287] S. Delisle. The four dimensions of cal-cium signalling in Xenopus oocytes. Cellcalcium, 12:217–227, 1991. CODENCECADV. ISSN 0143-4160.

Dillon:1991:ORR

[288] S. M. Dillon. Optical recordings inthe rabbit heart show that defibrillationstrength shocks prolong the duration ofdepolarization and the refractory period.Circulation Research, 69:842–856, 1991.CODEN CIRUAL. ISSN 0009-7330.

Dupont:1991:SOP

[289] G. Dupont, M. J. Berridge, and A. Gold-beter. Signal-induced Ca oscillations:Properties of a model based on Ca-induced Ca release. Cell calcium, 12:73–85, 1991. CODEN CECADV. ISSN0143-4160.

Finch:1991:CCI

[290] E. A. Finch, T. J. Turner, and S. M.Goldin. Calcium as a coagonist of inos-itol 1,4,5-trisphosphate-induced calciumrelease. Science, 252:443–446, 1991. CO-DEN SCIEAS. ISSN 0036-8075 (print),1095-9203 (electronic).

Gatto:1991:SRM

[291] M. Gatto. Some remarks on models ofplankton densities in lakes. AmericanNaturalist, 137:264–267, 1991. CODENAMNTA4. ISSN 0003-0147.

Gillespie:1991:CME

[292] J. H. Gillespie. The Causes of Molecu-lar Evolution. Oxford University Press,Oxford, UK, 1991. ISBN 0-19-506883-1, 0-19-509271-6 (paperback). xiv + 336pp. LCCN QH455 .G56 1991.

Gilpin:1991:MDE

[293] M. Gilpin and I. Hanski, editors.Metapopulation Dynamics: Empiri-cal and Theoretical Investigations, vol-ume 42 of Biological Journal of the Lin-nean Society. Academic Press, NewYork, NY, 1991. ISBN 0-12-284120-4.336 pp. LCCN ????

Hale:1991:DB

[294] Jack K. Hale and Huseyin Kocak. Dy-namics and Bifurcations. Springer-Verlag, New York, 1991. ISBN 0-387-97141-6, 3-540-97141-6. xiv + 568 pp.LCCN QA372 .H183 1991.

Hanski:1991:SMD

[295] I. Hanski. Single-species metapopula-tion dynamics: Concepts, models, andobservations. In Gilpin and Hanski[293], pages 89–103. ISBN 0-12-284120-4. LCCN ????

Harootunian:1991:GCO

[296] A. T. Harootunian, J. P. Y. Kao,S. Paranjape, and R. Y. Tsien. Genera-tion of calcium oscillations in fibroblastsby positive feedback between calciumand IP3. Science, 251:75–78, 1991. CO-DEN SCIEAS. ISSN 0036-8075 (print),1095-9203 (electronic).

Higuchi:1991:SDB

[297] H. Higuchi and Y. E. Goldman. Slid-ing distance between actin and myosinfilaments per ATP molecule hydrolysedin skinned muscle fibres. Nature, 352(6333):352–354, July 25, 1991. CO-DEN NATUAS. ISSN 0028-0836 (print),1476-4687 (electronic).

Page 40: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 40

Hudson:1991:GGC

[298] R. R. Hudson. Gene genealogies and thecoalescent process. Oxford Surveys inEvolutionary Biology, 7:1–44, 1991. CO-DEN OSEBE3. ISSN 0265-072X.

Lechleiter:1991:SCW

[299] J. Lechleiter, S. Girard, E. Peralta,and D. Clapham. Spiral calcium wavepropagation and annihilation in xeno-pus laevis oocytes. Science, 252:123–126, 1991. CODEN SCIEAS. ISSN 0036-8075 (print), 1095-9203 (electronic).

Ludwig:1991:ESP

[300] D. Ludwig and S. A. Levin. Evolution-ary stability of plant communities andthe maintenance of multiple dispersaltypes. Theoretical Population Biology,40:285–307, 1991. CODEN TLPBAQ.ISSN 0040-5809.

Luo:1991:MVC

[301] C-H. Luo and Y. Rudy. A model ofthe ventricular cardiac action potential:Depolarization, repolarization, and theirinteraction. Circulation Research, 68:1501–1526, 1991. CODEN CIRUAL.ISSN 0009-7330.

Malcolm:1991:MPB

[302] I. Malcolm. Motor proteins: Biomechan-ics goes quantum. Nature, 352(6333):284–286, July 25, 1991. CODEN NAT-UAS. ISSN 0028-0836 (print), 1476-4687(electronic).

Metz:1991:EFD

[303] J. A. J. Metz and O. Diekmann. Ex-act finite dimensional representationsof models for physiologically structuredpopulations. I: The abstract foundationsof linear chain trickery. In Goldstein

et al. [534], pages 269–289. ISBN 0-8247-8571-1. LCCN QA370 .D56 1991.

Meyer:1991:CS

[304] Tobias Meyer and Lubert Stryer. Cal-cium spiking. Annual review of bio-physics and biophysical chemistry, 20:153–174, 1991. CODEN ARBCEY.

Nisbet:1991:PDE

[305] R. M. Nisbet, E. McCauley, A. M.de Roos, W. W. Murdoch, and W. S. C.Gurney. Population dynamics and el-ement recycling in an aquatic plant-herbivore system. Theoretical Popu-lation Biology, 40(2):125–147, October1991. CODEN TLPBAQ. ISSN 0040-5809.

Nuccitelli:1991:HDS

[306] R. Nuccitelli. How do sperm activateeggs? Current topics in developmen-tal biology, 25:1–16, 1991. CODEN CT-DBA5. ISSN 0070-2153.

Othmer:1991:DFE

[307] H. G. Othmer. The dynamics of forcedexcitable systems. In Holden et al. [536],pages 213–232. ISBN 0-306-43800-3.LCCN QA927 .N27 1989.

Perko:1991:DED

[308] L. Perko. Differential Equations andDynamical Systems, volume 7 of Textsin applied mathematics. Springer, NewYork, 1991. ISBN 0-387-97443-1 (NewYork), 3-540-97443-1 (Berlin). xii + 403pp. LCCN QA372 .P47 1991.

Renshaw:1991:MBP

[309] E. Renshaw. Modelling Biological Pop-ulations in Space and Time. CambridgeUniversity Press, Cambridge, UK, 1991.

Page 41: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 41

ISBN 0-521-30388-5 (hardback), 0-521-44855-7 (paperback). xvii + 403 pp.LCCN QH352 .R46 1991.

Rooney:1991:OCC

[310] T. A. Rooney, D. C. Renard, E. J. Sass,and A. P. Thomas. Oscillatory cytoso-lic calcium waves independent of stim-ulated inositol 1,4,5-trisphosphate for-mation in hepatocytes. Journal of bio-logical chemistry, 266(19):12272–12282,1991. CODEN JBCHA3. ISSN 0021-9258.

Somogyi:1991:HCO

[311] R. Somogyi and J. W. Stucki. Hormone-induced calcium oscillations in liver cellscan be explained by a simple one poolmodel. Journal of biological chemistry,266(17):11068–11077, 1991. CODENJBCHA3. ISSN 0021-9258.

Takada:1991:DAE

[312] T. Takada and J. Kigami. The dynam-ical attainability of ESS in evolutionarygames. Journal of Mathematical Biology,29:513–529, 1991. CODEN JMBLAJ.ISSN 0303-6812.

Taylor:1991:KSA

[313] Edwin W. Taylor. Kinetic studies on theassociation and dissociation of myosinsubfragment 1 and actin. Journal of bi-ological chemistry, 266(1):294–302, Jan-uary 5, 1991. CODEN JBCHA3. ISSN0021-9258.

Thomas:1991:STO

[314] A. P. Thomas, D. C. Renard, and T. A.Rooney. Spatial and temporal organiza-tion of calcium signalling in hepatocytes.Cell calcium, 12:111–126, 1991. CODENCECADV. ISSN 0143-4160.

Tuljapurkar:1991:PDV

[315] S. Tuljapurkar. Population Dynamicsin Variable Environments, volume 85of Lecture Notes in Biomathematics.Springer-Verlag, Berlin, Germany / Hei-delberg, Germany / London, UK / etc.,1991. ISBN 0-387-52482-7. 154 pp.LCCN HB849.51 .T85 1990.

Urabe:1991:EFC

[316] J. Urabe and Y. Watanabe. Effect offood concentration on the assimilationand production efficiencies of Daphniagaleata. Functional Ecology, 5:635–641,1991. CODEN FECOE5. ISSN 0269-8463.

Watras:1991:ICC

[317] J. Watras, I. Bezprozvanny, and B. E.Ehrlich. Inositol 1,4,5-trisphosphate-gated channels in cerebellum: Presenceof multiple conductance states. Journalof Neuroscience, 11(10):3239–3245, Oc-tober 1991. CODEN JNRSDS. ISSN0270-6474.

Yarom:1991:RHS

[318] Y. Yarom. Rhythmogenesis in a hybridsystem interconnecting an olivary neu-ron to an analog network of coupled os-cillators. Neuroscience, 44(2):263–275,1991. CODEN NRSCDN. ISSN 0306-4522.

Zeng:1991:ERD

[319] W. Zeng, L. Glass, and A. Shrier. Evolu-tion of rhythms during periodic stimula-tion of embryonic chick heart cell aggre-gates. Circulation Research, 69(4):1022–1033, October 1991. CODEN CIRUAL.ISSN 0009-7330.

Page 42: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 42

Aida:1992:OML

[320] T. Aida and P. Davis. Oscillation modesof laser diode pumped hybrid bistablesystem with large delay and applica-tion to dynamic memory. IEEE Journalof Quantum Electronics, 28(3):686–699,March 1992. CODEN IEJQA7. ISSN0018-9197.

Brown:1992:EHE

[321] J. S. Brown and N. B. Pavlovic. Evolu-tion in heterogeneous environments: Ef-fect of migration on habitat specializa-tion. Evolutionary Ecology, 6:360–382,1992. CODEN EVECEJ. ISSN 0269-7653.

Garfinkel:1992:CCC

[322] A. Garfinkel, M. Spano, W. L. Ditto,and J. Weiss. Controlling cardiac chaos.Science, 257(5074):1230–1235, August28, 1992. CODEN SCIEAS. ISSN 0036-8075 (print), 1095-9203 (electronic).

Girard:1992:TMC

[323] S. Girard, A. Luckhoff, J. Lechleiter,J. Sneyd, and D. Clapham. Two-dimensional model of calcium waves re-produces the patterns observed Xeno-pus oocytes. Biophysical Journal, 61:509–517, 1992. CODEN BIOJAU. ISSN0006-3495.

Glazier:1992:EAR

[324] D. S. Glazier and P. Calow. Energyallocation rules in Daphnia magna —clonal and age differences in the effectsof food limitation. Oecologia, 90(4):540–549, July 1992. CODEN OECOBX.ISSN 0029-8549.

Heide-Jorgensen:1992:ESD

[325] M. P. Heide-Jorgensen and T. Harko-nen. Epizootiology of the seal disease in

the eastern North Sea. Journal of Ap-plied Ecology, 29:99–107, 1992. CODENJAPEAI. ISSN 0021-8901.

Holt:1992:AAH

[326] R. D. Holt and M. S. Gaines. Analysis ofadaptation in heterogeneous landscapes:Implications for the evolution of funda-mental niches. Evolutionary Ecology, 7:433–447, 1992. CODEN EVECEJ. ISSN0269-7653.

Hudson:1992:HWG

[327] R. R. Hudson. The how and why ofgenerating gene genealogies. In Taka-hata and Clark [538], pages 23–36. ISBN4-7622-6718-X, 0-87893-825-7. LCCNQH352 .M43 1993.

Keizer:1992:TRA

[328] J. Keizer and G. W. De Young. Tworoles for Ca in agonist stimulated Ca os-cillations. Biophysical Journal, 61:649–660, 1992. CODEN BIOJAU. ISSN0006-3495.

Lechleiter:1992:MMI

[329] J. Lechleiter and D. Clapham. Molecularmechanisms of intracellular calcium ex-citability in X. laevis oocytes. Cell, 69:283–294, 1992. CODEN CELLB5. ISSN0092-8674.

McPeek:1992:EDS

[330] M. A. McPeek and R. D. Holt. The evo-lution of dispersal in spatially and tem-porally varying environments. AmericanNaturalist, 140:1010–1027, 1992. CO-DEN AMNTA4. ISSN 0003-0147.

Miyazaki:1992:BCW

[331] S. Miyazaki, M. Yuzaki, K. Nakada,H. Shirakawa, S. Nakanishi, S. Nakade,and K. Mikoshiba. Block of Ca2+ wave

Page 43: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 43

and Ca2+ oscillation by antibody tothe inositol 1,4,5-trisphosphate recep-tor in fertilized hamster eggs. Science,257:251–255, 1992. CODEN SCIEAS.ISSN 0036-8075 (print), 1095-9203 (elec-tronic).

Murdoch:1992:IMC

[332] W. W. Murdoch, E. McCauley, R. M.Nisbet, W. S. C. Gurney, and A. M.de Roos. Individual-based models:Combining testability and generality. InDeAngelis and Gross [537], pages 18–35. ISBN 0-412-03161-2 (hardcover),0-412-03171-X (paperback). LCCNQH352 .I53 1992. US$65.00 (hardcover),US$29.00 (paperback).

Nagylaki:1992:ITP

[333] T. Nagylaki. Introduction to Theo-retical Population Genetics, volume 21of Biomathematics. Springer-Verlag,Berlin, Germany / Heidelberg, Ger-many / London, UK / etc., 1992. ISBN3-540-53344-3 (Berlin), 0-387-53344-3(New York). xi + 369 pp. LCCN QH455.N32 1992.

Pedley:1992:HPS

[334] T. J. Pedley and J. O. Kessler. Hy-drodynamic phenomena in suspensionsof swimming micro-organisms. AnnualReview of Fluid Mechanics, 24:313–358,1992. CODEN ARVFA3. ISSN 0066-4189.

Peskin:1992:CFD

[335] C. S. Peskin and D. M. McQueen.Cardiac fluid dynamics. CRC crit-ical reviews in biomedical engineer-ing, 20(5/6):451–459, 1992. CODENCRBEDR. ISSN 0278-940X.

Roff:1992:ELH

[336] Derek A. Roff. The Evolution of LifeHistories: Theory and Analysis. Chap-man and Hall, Ltd., London, UK,1992. ISBN 0-412-02391-1 (paper), 0-412-02381-4 (cloth). xii + 535 pp. LCCNQH323.5 .R62 1992.

Sharp:1992:AES

[337] A. A. Sharp, L. F. Abbott, andE. Marder. Artificial electrical synapsesin oscillatory networks. Journal ofNeurophysiology, 67(6):1691–1694, June1992. CODEN JONEA4. ISSN 0022-3077.

Stearns:1992:ELH

[338] Stephen C. Stearns. The Evolution ofLife Histories. Oxford University Press,Oxford, UK, 1992. ISBN 0-19-857741-9.xii + 249 pp. LCCN QH371 .S72 1992.

Tang:1992:TPG

[339] A. S. L. Tang, P. D. Wolf, Y. Afework,W. M. Smith, and R. E. Ideker. Three-dimensional potential gradient fieldsgenerated by intracardiac catheter andcutaneous patch electrodes. Circulation,85(5):1857–1864, May 1992. CODENCIRCAZ. ISSN 0009-7322.

Wharton:1992:CPP

[340] J. M. Wharton, P. D. Wolf, W. M.Smith, P-S. Chen, D. W. Frazier,S. Yabe, N. Danieley, and R. E. Ideker.Cardiac potential and potential gradientfields generated by single, combined, andsequential shocks during ventricular de-fibrillation. Circulation, 85:1510–1523,1992. CODEN CIRCAZ. ISSN 0009-7322.

Page 44: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 44

Young:1992:SIM

[341] G. De Young and J. Keizer. Asingle-pool inositol 1,4,5-trisphophate-receptor-based model for agonist-stimulated oscillations in Ca+2 con-centration. Proceedings of the Na-tional Academy of Sciences of the UnitedStates of America, 89:9895–9899, 1992.CODEN PNASA6. ISSN 0027-8424(print), 1091-6490 (electronic).

Zeng:1992:TPR

[342] W. Zeng, L. Glass, and A. Shrier. Thetopology of phase response curves in-duced by single and paired stimuli. Jour-nal of Biological Rhythms, 7(2):89–104,Summer 1992. CODEN JBRHEE. ISSN0748-7304.

Bagshaw:1993:MC

[343] C. R. Bagshaw. Muscle Contraction.Chapman and Hall, Ltd., London, UK,second edition, 1993. ISBN 0-412-40370-6. x + 155 pp. LCCN QP321 .B26 1993.

Carpenter:1993:TCL

[344] S. R. Carpenter and J. F. Kitchell,editors. The Trophic Cascade inLakes. Cambridge University Press,Cambridge, UK, 1993. ISBN 0-521-43145-X. xiv + 385 pp. LCCNQH541.5.L3 T76 1993.

Charnov:1993:LHI

[345] Eric L. Charnov. Life History Invari-ants: Some explorations of symmetryin evolutionary ecology. Oxford Univer-sity Press, Oxford, UK, 1993. ISBN0-19-854072-8 (hardback), 0-19-854071-X (paperback). xv + 167 pp. LCCNQH371 .C485 1993.

Courtemanche:1993:IPP

[346] M. Courtemanche, L. Glass, andJ. Keener. Instabilities of a propagat-ing pulse in a ring of excitable media.Physical Review Letters, 70(14):2182–2185, April 5, 1993. CODEN PRLTAO.ISSN 0031-9007 (print), 1079-7114 (elec-tronic), 1092-0145.

Hale:1993:IFD

[347] J. K. Hale and S. M. V. Lunel. Intro-duction to Functional Differential Equa-tions, volume 99 of Applied mathemat-ical sciences. Springer-Verlag, Berlin,Germany / Heidelberg, Germany / Lon-don, UK / etc., 1993. ISBN 0-387-94076-6 (New York), 3-540-94076-6 (Berlin). x+ 447 pp. LCCN QA372 .H35 1993.

Henriquez:1993:SEB

[348] C. S. Henriquez. Simulating the electri-cal behavior of cardiac tissue using thebidomain model. CRC critical reviews inbiomedical engineering, 21:1–77, 1993.CODEN CRBEDR. ISSN 0278-940X.

Holloway:1993:AII

[349] S. L. Holloway, M. Glotzer, R. W. King,and A. W. Murray. Anaphase is initi-ated by proteolysis rather than by the in-activation of maturation-promoting fac-tor. Cell, 73:1393–1402, 1993. CODENCELLB5. ISSN 0092-8674.

Josephson:1993:REV

[350] M. E. Josephson, D. Callans, J. M.Almendral, B. G. Hook, and R. B.Kleiman. Resetting and entrainment ofventricular tachycardia associated withinfarction: Clinical and experimentalstudies. In Josephson and Wellens [540],pages 505–536. ISBN 0-87993-549-9.LCCN WG 330 T117-3 1993.

Page 45: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 45

Knisley:1993:OMT

[351] S. B. Knisley, T. F. Blitchington, B. C.Hill, A. O. Grant, W. M. Smith, T. C.Pilkington, and R. E. Ideker. Opticalmeasurements of transmembrane poten-tial changes during electric field stimu-lation of ventricular cells. CirculationResearch, 72(2):255–270, February 1993.CODEN CIRUAL. ISSN 0009-7330.

Krebs:1993:BEE

[352] J. R. Krebs and N. B. Davies. Be-havioral Ecology: An Evolutionary Ap-proach. Blackwell Scientific Publica-tions, Oxford, UK, third edition, 1993.ISBN 0-632-02701-0 (hardback), 0-632-02702-9 (paperback). xi + 482 pp.LCCN QL751 .B345 1991.

Kretzschmar:1993:PMZ

[353] M. Kretzschmar, R. M. Nisbet, andE. McCauley. A predator-prey model forzooplankton grazing on competing algalpopulations. Theoretical Population Bi-ology, 44(1):32–66, August 1993. CO-DEN TLPBAQ. ISSN 0040-5809.

Lenski:1993:ERE

[354] R. E. Lenski and A. F. Bennett. Evo-lutionary response of Escherichia colito thermal stress. American Naturalist,142:S47–S64, 1993. CODEN AMNTA4.ISSN 0003-0147.

Losson:1993:SMF

[355] J. Losson, M. C. Mackey, andA. Longtin. Solution multistability infirst-order nonlinear differential delayequations. Chaos (Woodbury, NY), 3:167–176, 1993. CODEN CHAOEH.ISSN 1054-1500.

Lynch:1993:EER

[356] M. Lynch and R. Lande. Evolution andextinction in response to environmentalchange. In Kareiva et al. [541], pages234–250. ISBN 0-87893-429-4, 0-87893-430-8 (paperback). LCCN QH546 .B551993. US$55.00, US$35.00 (paperback).

Murray:1993:CCI

[357] Andrew Murray and Tim Hunt. Thecell cycle: an introduction. W. H.Freeman, New York, NY, USA, 1993.ISBN 0-7167-7044-X (hard), 0-7167-7046-6 (soft), 0-19-509529-4. xii + 251pp. LCCN H605 .M95 1993.

Murray:1993:TM

[358] A. W. Murray. Turning on mitosis. Cur-rent biology, 3:291–293, 1993. CODENCUBLE2. ISSN 0960-9822.

Neu:1993:HST

[359] J. C. Neu and W. Krassowska. Homog-enization of syncytial tissues. CRC crit-ical reviews in biomedical engineering,21:137–199, 1993. CODEN CRBEDR.ISSN 0278-940X.

Novak:1993:NAC

[360] B. Novak and J. J. Tyson. Numeri-cal analysis of a comprehensive model ofM-phase control in Xenopus oocyte ex-tracts and intact embryos. Journal ofCell Science, 106:1153–1168, 1993. CO-DEN JNCSAI. ISSN 0021-9533.

Othmer:1993:OWM

[361] H. G. Othmer and Y. Tang. Oscillationsand waves in a model of ip-controlledcalcium dynamics. In Othmer et al.[542], pages 277–313. ISBN 0-306-44661-8. LCCN QH491 .N38 1993.

Page 46: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 46

Othmer:1993:TAB

[362] H. G. Othmer. Techniques and appli-cations of bifurcation theory. LectureNotes, University of Utah, 1993.

Pate:1993:DMS

[363] Edward Pate, Howard D. White, andRoger Cooke. Determination of themyosin step size from mechanical andkinetic data. Proceedings of the Na-tional Academy of Sciences of the UnitedStates of America, 90(6):2451–2455,March 15, 1993. CODEN PNASA6.ISSN 0027-8424 (print), 1091-6490 (elec-tronic).

Pate:1993:UDN

[364] E. Pate, K. Franks-Skiba, H. D. White,and R. Cooke. The use of differing nu-cleotides to investigate cross-bridge ki-netics. Journal of biological chemistry,268(14):10046–10053, May 15, 1993.CODEN JBCHA3. ISSN 0021-9258.

Peskin:1993:CBD

[365] C. S. Peskin and D. M. McQueen. Com-putational biofluid dynamics. Contem-porary mathematics, 141:161–186, 1993.ISSN 0271-4132 (print), 1098-3627 (elec-tronic).

Ross:1993:SSM

[366] A. H. Ross, W. S. C. Gurney, M. R.Heath, S. J. Hay, and E. W. Henderson.A strategic simulation model of a fjordecosystem. Limnology and Oceanogra-phy, 38(1):128–153, January 1993. CO-DEN LIOCAH. ISSN 0024-3590.

Sharp:1993:DCA

[367] Andrew A. Sharp, Michael B. O’Neil,L. F. Abbott, and Eve Marder. Thedynamic clamp: artificial conductances

in biological neurons. Trends in Neuro-sciences (Regular ed.), 16(10):389–394,October 1993. CODEN TNSCDR. ISSN0378-5912.

Sharp:1993:DCC

[368] A. A. Sharp, M. B. O’Neil, L. F.Abbott, and E. Marder. Dynamicclamp: Computer-generated conduc-tances in real neurons. Journal of Neuro-physiology, 69(3):992–995, March 1993.CODEN JONEA4. ISSN 0022-3077.

Starmer:1993:VEM

[369] C. F. Starmer, V. N. Biktahev, D. N.Romashko, M. R. Stepanov, O. N.Makarova, and V. I. Krinsky. Vulnera-bility in an excitable medium: analyticaland numerical study of initiating unidi-rectional propagation. Biophysical Jour-nal, 65(5):1775–1787, November 1993.CODEN BIOJAU. ISSN 0006-3495.

Templeton:1993:HGC

[370] A. R. Templeton. The “Eve” hypothesis:a genetic critique and reanalysis. Ameri-can Anthropologist, 95:51–72, 1993. CO-DEN AMATA7. ISSN 0002-7294.

Trayanova:1993:BMP

[371] N. A. Trayanova and T. C. Pilkington.A bidomain model with periodic intra-cellular junctions. one-dimensional anal-ysis. IEEE Transactions on BiomedicalEngineering, 40:424–433, 1993. CODENIEBEAX. ISSN 0018-9294.

Tuljapurkar:1993:EUV

[372] S. Tuljapurkar and C. Istock. Envi-ronmental uncertainty and variable di-apause. Theoretical Population Biology,43:251–280, 1993. CODEN TLPBAQ.ISSN 0040-5809.

Page 47: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 47

White:1993:KBH

[373] H. D. White, B. Belknap, and W. Jiang.Kinetics of binding and hydrolysis ofa series of nucleoside triphosphates byactomyosin-S1: relationship between so-lution rate constants and properties ofmuscle fibers. Journal of biologicalchemistry, 268(14):10039–10045, May15, 1993. CODEN JBCHA3. ISSN 0021-9258.

Zhang:1993:CSM

[374] X. Zhang, J. A. Ashton-Miller, andC. S. Stohler. A closed-loop system formaintaining constant experimental mus-cle pain in man. IEEE Transactions onBiomedical Engineering, 40(4):344–352,April 1993. CODEN IEBEAX. ISSN0018-9294.

Zhou:1993:EMV

[375] X. Zhou, P. Daubert, P. D. Wolf, W. M.Smith, and R. E. Ideker. Epicar-dial mapping of ventricular defibrillationwith monophasic and biphasic shocks indogs. Circulation Research, 72:145–160,1993. CODEN CIRUAL. ISSN 0009-7330.

Zipser:1993:SNM

[376] D. Zipser, B. Kehoe, G. Littlewort, andJ. Fuster. A spiking network model ofshort-term memory. Journal of Neuro-science, 13(8):3406–3420, August 1993.CODEN JNRSDS. ISSN 0270-6474.

Alberts:1994:MBC

[377] B. Alberts, D. Bray, J. Lewis, M. Raff,K. Roberts, and J. D. Watson. MolecularBiology of the Cell. Garland Publishing,Inc., New York, NY, USA, third edition,1994. ISBN 0-8153-1619-4 (hardcover),0-8153-1620-8 (paperback). xliii + 1294+ 67 pp. LCCN QH581.2 .M64 1994.

Altes:1994:EPP

[378] H. Korthals Altes. Effects of PDV onthe population dynamics of seals. Mas-ter’s thesis, Leiden University, Leiden,The Netherlands, 1994.

Amon:1994:CCC

[379] A. Amon, S. Irniger, and K. Nasmyth.Closing the cell cycle circle in yeast:G2 cyclin proteolysis initiated at mito-sis persists until the activation of G1 cy-clins in the next cycle. Cell, 77:1037–1050, 1994. CODEN CELLB5. ISSN0092-8674.

Bezprozvanny:1994:IIC

[380] I. Bezprozvanny and B. Ehrlich. Inositol(1,4,5)-trisphosphate (InsP3)-gated Cachannels from cerebellum: Conductionproperties for divalent cations and reg-ulation by intraluminal calcium. Jour-nal of General Physiology, 104:821–856,1994. CODEN JGPLAD. ISSN 0022-1295.

Chesson:1994:MCV

[381] P. L. Chesson. Multispecies competi-tion in varying environments. Theo-retical Population Biology, 45:227–276,1994. CODEN TLPBAQ. ISSN 0040-5809.

Cooke:1994:MRM

[382] R. Cooke, H. D. White, and E. Pate.A model of the release of myosin headsfrom actin in rapidly contracting mus-cle. Biophysical Journal, 66(3):778–788,March 1994. CODEN BIOJAU. ISSN0006-3495.

Ellner:1994:ROG

[383] S. Ellner and N. G. Hairston, Jr. Role ofoverlapping generations in maintaining

Page 48: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 48

genetic variation in a fluctuating envi-ronment. American Naturalist, 143:403–417, 1994. CODEN AMNTA4. ISSN0003-0147.

Finer:1994:SMM

[384] J. T. Finer, R. M. Simmons, andJ. A. Spudich. Single myosin moleculemechanics: PicoNewton forces andnanometre steps. Nature, 368(6467):113–119, March 10, 1994. CODENNATUAS. ISSN 0028-0836 (print),1476-4687 (electronic).

Freeman:1994:TEP

[385] S. A. Freeman, M. A. Wang, and J. C.Weaver. Theory of electroporation ofplanar bilayer membranes: Predictionsof the aqueous area, change in capaci-tance, and pore-pore separation. Bio-physical Journal, 67:42–56, 1994. CO-DEN BIOJAU. ISSN 0006-3495.

Glass:1994:PFL

[386] L. Glass and J. Sun. Periodic forcingof a limit cycle oscillator: Fixed points,arnold tongues, and the global organi-zation of bifurcations. Physical ReviewE (Statistical physics, plasmas, fluids,and related interdisciplinary topics), 50:5077–5084, 1994. CODEN PLEEE8.ISSN 1539-3755 (print), 1550-2376 (elec-tronic).

Griffiths:1994:AIP

[387] R. C. Griffiths and S. Tavare. Ancestralinference in population genetics. Statis-tical Science, 9:307–319, 1994. CODENSTSCEP. ISSN 0883-4237 (print), 2168-8745 (electronic).

Griffiths:1994:STN

[388] R. C. Griffiths and S. Tavare. Samplingtheory for neutral alleles in a varying en-

vironment. Philosophical Transactionsof the Royal Society of London Series B,Biological sciences, 344:403–410, 1994.CODEN PTRBAE. ISSN 0962-8436.

Kowtha:1994:IMN

[389] V. C. Kowtha, A. Kunysz, J. R. Clay,L. Glass, and A. Shrier. Ionic mecha-nisms and nonlinear dynamics of embry-onic chick heart cell aggregates. Progressin Biophysics and Molecular Biology, 61:255–281, 1994. CODEN PBIMAC. ISSN0079-6107.

Krassowska:1994:EBC

[390] W. Krassowska and J. C. Neu. Effec-tive boundary conditions for syncytialtissues. IEEE Transactions on Biomed-ical Engineering, 41:143–150, 1994. CO-DEN IEBEAX. ISSN 0018-9294.

Krassowska:1994:RSC

[391] W. Krassowska and J. C. Neu. Re-sponse of a single cell to an external elec-tric field. Biophysical Journal, 66:1768–1776, 1994. CODEN BIOJAU. ISSN0006-3495.

Middlebrooks:1994:PCS

[392] A. E. Middlebrooks, L. Xu, and D. M.Green. A panoramic code for sound lo-cation by cortical neurons. Science, 264(5160):842–844, May 6, 1994. CODENSCIEAS. ISSN 0036-8075 (print), 1095-9203 (electronic).

Moreno:1994:RPT

[393] S. Moreno and P. Nurse. Regulationof progression through the G1 phaseof the cell cycle by the rum1+ gene.Nature, 367(6460):236–242, January 20,1994. CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).

Page 49: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 49

Peskin:1994:MED

[394] C. S. Peskin and D. M. McQueen.Mechanical equilibrium determines thefractal fiber architecture of the aorticheart valve leaflets. American Journal ofPhysiology, 266(1):H319–H328, January1994. CODEN AJPHAP. ISSN 0002-9513 (print), 2163-5773 (electronic).

Ross:1994:CSE

[395] A. H. Ross, W. S. C. Gurney, and M. R.Heath. A comparative study of theecosystem dynamics of four fjords. Lim-nology and Oceanography, 39(2):318–343, March 1994. CODEN LIOCAH.ISSN 0024-3590.

Schiff:1994:CCB

[396] S. J. Schiff, K. Jerger, D. H. Duong,T. Chang, M. L. Spano, and W. L.Ditto. Controlling chaos in the brain.Nature, 370(6491):615–620, August 25,1994. CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).

Siegfried:1994:BCE

[397] J. Siegfried. Bilateral chronic electros-timulation of ventroposteriolateral pal-lidum: a new therapeutic approachfor alleviating all parkinsonian symp-toms. Neurosurgery, 35(6):1126–1129,1994. ISSN 0148-396X.

Tang:1994:GMA

[398] Yuanhua Tang and Hans G. Othmer. AG-protein-based model of adaptation inDictyostelium discoideum. MathematicalBiosciences, 120:25–76, 1994. CODENMABIAR. ISSN 0025-5564.

Tang:1994:MCD

[399] Yuanhua Tang and Hans G. Othmer.A model of calcium dynamics in car-

diac myocytes based on the kinet-ics of ryanodine-sensitive calcium chan-nels. Biophysical Journal, 67:2223–2235,1994. CODEN BIOJAU. ISSN 0006-3495.

Ayala:1995:AAT

[400] F. J. Ayala. Association affairs: Themyth of Eve: Molecular biology and hu-man origins. Science, 270:1930–1936,1995. CODEN SCIEAS. ISSN 0036-8075(print), 1095-9203 (electronic).

Behbehani:1995:ACA

[401] K. Behbehani, F-C. Yen, J. R. Burk,E. A. Lucas, and J. R. Axe. Au-tomatic control of airway pressure fortreatment of obstructive sleep apnea.IEEE Transactions on Biomedical En-gineering, 42(10):1007–1016, 1995. CO-DEN IEBEAX. ISSN 0018-9294.

Bulmer:1995:TEE

[402] Michael Bulmer. Theoretical Evolution-ary Ecology. Sinauer Associates, Inc.,Sunderland, MA, 1995. ISBN 0-87893-078-7 (paper), 0-87893-079-5 (cloth). xi+ 352 pp. LCCN QH366.2 .B85 1994.

Burger:1995:EEC

[403] R. Burger and M. Lynch. Evolution andextinction in a changing environment: aquantitative-genetic analysis. Evolution,49:151–163, 1995. CODEN EVOLAO.ISSN 0014-3820.

Burt:1995:PEF

[404] A. Burt. Perspective: The evolution offitness. Evolution, 49:1–8, 1995. CO-DEN EVOLAO. ISSN 0014-3820.

Campbell:1995:CDM

[405] S. A. Campbell, J. Belair, T. Ohira,and J. Milton. Complex dynamics and

Page 50: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 50

multistability in a damped harmonicoscillator with delayed negative feed-back. Chaos (Woodbury, NY), 5:640–645, 1995. CODEN CHAOEH. ISSN1054-1500.

Correa-Bordes:1995:POS

[406] J. Correa-Bordes and P. Nurse. p25rum1

orders S-phase and mitosis by acting asan inhibitor of the p34cdc2 mitotic ki-nase. Cell, 83:1001–1009, 1995. CODENCELLB5. ISSN 0092-8674.

DiBenedetto:1995:PDE

[407] Emmanuele DiBenedetto. Partial Dif-ferential Equations. Birkhauser BostonInc., Cambridge, MA, USA, 1995. ISBN0-8176-3708-7 (Boston), 3-7643-3708-7(Basel). xiv + 416 pp. LCCN QA377.D624 1995.

Diekmann:1995:FIP

[408] O. Diekmann, M. C. M. de Jong, A. A.de Koeijer, and P. Reijnders. The forceof infection in populations of varyingsize: A modelling problem. Journalof Biological Systems, 3:519–529, 1995.CODEN JBSYE2. ISSN 0218-3390.

Donnelly:1995:CGS

[409] P. Donnelly and S. Tavare. Coalescentsand genealogical structure under neu-trality. Annual Review of Genetics, 29:401–421, 1995. CODEN ARVGB7. ISSN0066-4197.

Dorit:1995:APA

[410] R. L. Dorit, H. Akashi, and W. Gilbert.Absence of polymorphism at the ZFY lo-cus on the human Y chromosome. Sci-ence, 268:1183–1185, 1995. CODENSCIEAS. ISSN 0036-8075 (print), 1095-9203 (electronic).

Easterling:1995:ODS

[411] M. E. Easterling. Optimal dor-mancy strategies in structured popula-tion. Master’s thesis, North CarolinaState University, Raleigh, NC, 1995.

Ferster:1995:CNC

[412] D. Ferster and N. Spruston. Crackingthe neuronal code. Science, 270(5237):756–757, November 3, 1995. CODENSCIEAS. ISSN 0036-8075 (print), 1095-9203 (electronic).

Fromherz:1995:SJC

[413] Peter Fromherz and Alfred Stett.Silicon-neuron junction: Capacitivestimulation of an individual neuron on asilicon chip. Physical Review Letters, 75(8):1670–1673, 1995. CODEN PRLTAO.ISSN 0031-9007 (print), 1079-7114 (elec-tronic), 1092-0145.

Furutani:1995:BPC

[414] E. Furutani, M. Araki, T. Sakamoto,and S. Maetani. Blood pressure controlduring surgical operations. IEEE Trans-actions on Biomedical Engineering, 42(10):999–1006, 1995. CODEN IEBEAX.ISSN 0018-9294.

Glass:1995:RAR

[415] L. Glass and M. E. Josephson. Reset-ting and annihilation of reentrant abnor-mally rapid heartbeat. Physical ReviewLetters, 75(10):2059–2063, 1995. CO-DEN PRLTAO. ISSN 0031-9007 (print),1079-7114 (electronic), 1092-0145.

Gomulkiewicz:1995:WDE

[416] R. Gomulkiewicz and R. D. Holt. Whendoes evolution by natural selection pre-vent extinction? Evolution, 49:201–207,

Page 51: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 51

1995. CODEN EVOLAO. ISSN 0014-3820.

Grenfell:1995:EID

[417] B. T. Grenfell and A. Dobson, editors.Ecology of Infectious Diseases in Natu-ral Populations. Cambridge UniversityPress, Cambridge, UK, 1995. ISBN 0-521-46502-8. xii + 521 pp. LCCN QR100.E32 1995.

Griffiths:1995:UGT

[418] R. C. Griffiths and S. Tavare. Un-rooted genealogical tree probabilities inthe infinitely-many-sites model. Math-ematical Biosciences, 127:77–98, 1995.CODEN MABIAR. ISSN 0025-5564.

Grover:1995:CHE

[419] J. P. Grover. Competition, herbivory,and enrichment-nutrient-based modelsfor edible and inedible plants. AmericanNaturalist, 145(5):746–774, May 1995.CODEN AMNTA4. ISSN 0003-0147.

Haccou:1995:OMS

[420] P. Haccou and Y. Iwasa. Optimal mixedstrategies in stochastic environments.Theoretical Population Biology, 47:212–243, 1995. CODEN TLPBAQ. ISSN0040-5809.

Hairston:1995:ASD

[421] N. G. Hairston, Jr., R. A. van Brunt,C. M. Kearns, and D. R. Engstrom. Ageand survivorship of diapausing eggs in asediment egg bank. Ecology, 76:1706–1711, 1995. CODEN ECOLAR. ISSN0012-9658.

Hammer:1995:RCA

[422] M. F. Hammer. A recent common an-cestry for human Y chromosomes. Na-ture, 378(6555):376–378, 1995. CO-

DEN NATUAS. ISSN 0028-0836 (print),1476-4687 (electronic).

Herwaarden:1995:SEM

[423] O. A. van Herwaarden and J. Grasman.Stochastic epidemics: Major outbreaksand the duration of the epidemic. Jour-nal of Mathematical Biology, 33:581–601, 1995. CODEN JMBLAJ. ISSN0303-6812.

Higuchi:1995:CTF

[424] H. Higuchi, T. Yanagida, and Y. E.Goldman. Compliance of thin filamentsin skinned fibers of rabbit skeletal mus-cle. Biophysical Journal, 69(3):1000–1010, 1995. CODEN BIOJAU. ISSN0006-3495.

Hillesdon:1995:DCG

[425] A. J. Hillesdon, T. J. Pedley, and J. O.Kessler. The development of concentra-tion gradients in a suspension of chemo-tactic bacteria. Bulletin of MathematicalBiology, 57(2):299–344, 1995. CODENBMTBAP. ISSN 0092-8240.

Iacono:1995:SGP

[426] R. P. Iacono. Stimulation of theglobus pallidus in parkinson’s disease.British Journal of Neurosurgery, 9:505–510, 1995. CODEN BJNEEL. ISSN0268-8697.

Jobling:1995:FSY

[427] M. A. Jobling and C. Tyler-Smith. Fa-thers and sons: the Y chromosome andhuman evolution. Trends in Genetics,11:449–456, 1995. CODEN TRGEE2.ISSN 0168-9525.

Kawecki:1995:DSP

[428] T. J. Kawecki. Demography of source-sink populations and the evolution of

Page 52: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 52

ecological niches. Evolutionary Ecology,7:155–174, 1995. CODEN EVECEJ.ISSN 0269-7653.

Kostov:1995:MLC

[429] A. Kostov, B. J. Andrews, D. B.Popovic, R. B. Stein, and W. W. Arm-strong. Machine learning in control offunctional electrical stimulation systemsfor locomotion. IEEE Transactions onBiomedical Engineering, 42(6):541–551,June 1995. CODEN IEBEAX. ISSN0018-9294.

Krassowska:1995:EET

[430] W. Krassowska. Effects of electropo-ration on transmembrane potential in-duced by defibrillation shocks. Pacingand Clinical Electrophysiology: PACE,18:1644–1660, 1995. ISSN 0147-8389.

Krassowska:1995:MME

[431] W. Krassowska. Macroscopic model ofelectroporating membrane. In IEEE[544], pages 253–254.

Kunysz:1995:OSS

[432] A. Kunysz, L. Glass, and A. Shrier.Overdrive suppression of spontaneouslybeating chick heart cell aggregates: Ex-periment and theory. American Journalof Physiology, 269:H1153–H1164, 1995.CODEN AJPHAP. ISSN 0002-9513(print), 2163-5773 (electronic). (HeartCirc. Physiol. 38).

Kuznetsov:1995:EAB

[433] Y. A. Kuznetsov. Elements of AppliedBifurcation Theory. Springer-Verlag,1995.

Lodish:1995:MCB

[434] Harvey F. Lodish, D. Baltimore,A. Berk, S. L. Zipursky, P. Matsudaira,

and James E. Darnell. Molecular CellBiology. W. H. Freeman, New York, NY,USA, third edition, 1995. ISBN 0-7167-2380-8. various pp. LCCN QH581.2.D37 1995.

Lucas:1995:RJ

[435] G. Lucas. Return of the Jedi. WarnerBooks, New York, NY, USA, 1995.

Mainen:1995:RST

[436] Z. F. Mainen and T. J. Sejnowski.Reliablity of spike timing in neocorti-cal neurons. Science, 268(5216):1503–1506, June 9, 1995. CODEN SCIEAS.ISSN 0036-8075 (print), 1095-9203 (elec-tronic).

Maniglia:1995:MIE

[437] A. J. Maniglia (ed.). Middle and in-ner ear electronic implantable devices forpartial hearing loss. The Otolaryngo-logic clinics of North America, 28:1–223,1995. CODEN OCNABW. ISSN 0030-6665.

McNamara:1995:DOF

[438] J. M. McNamara, J. N. Webb, and E. J.Collins. Dynamic optimization in fluctu-ating environments. Proceedings of theRoyal Society of London. Series B. Bio-logical sciences, 261:279–284, 1995. CO-DEN PRLBA4. ISSN 0962-8452 (print),1471-2954 (electronic).

McNamara:1995:IFD

[439] J. M. McNamara. Implicit frequency de-pendence and kin selection in fluctuatingenvironments. Evolutionary Ecology, 9:185–203, 1995. CODEN EVECEJ. ISSN0269-7653.

Page 53: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 53

Mensour:1995:CCS

[440] B. Mensour and A. Longtin. Control-ling chaos to store information in delay-differential equations. Physics Letters A,205(1):18–24, 1995. CODEN PYLAAG.ISSN 0375-9601 (print), 1873-2429 (elec-tronic).

Milton:1995:DFD

[441] J. Milton, S. A. Campbell, and J. Belair.Dynamic feedback and the design ofclosed-loop drug delivery systems. Jour-nal of Biological Systems, 3:711–718,1995. CODEN JBSYE2.

Mitchell-Olds:1995:MBQ

[442] T. Mitchell-Olds. The molecular basisof quantitative genetic variation in nat-ural populations. Trends in Ecology andEvolution, 10:324–328, 1995. CODENTREEEQ. ISSN 0169-5347.

Mollison:1995:EMT

[443] D. Mollison, editor. Epidemic Mod-els: Their Structure and Relation toData. Cambridge University Press,Cambridge, UK, 1995. ISBN 0-521-47536-8. xvii + 424 pp. LCCNRA652.2.M3 E64 1995.

Molloy:1995:MFP

[444] J. E. Molloy, J. Kendrick-Jones, J. E.Burns, R. T. Tregear, and D. C. S.White. Movement and force producedby a single myosin head. Nature, 378(6553):209–212, November 9, 1995. CO-DEN NATUAS. ISSN 0028-0836 (print),1476-4687 (electronic).

Murray:1995:CUD

[445] A. W. Murray. Cyclin ubiquitination:the destructive end of mitosis. Cell, 81:

149–152, 1995. CODEN CELLB5. ISSN0092-8674.

Novak:1995:QAM

[446] B. Novak and J. J. Tyson. Quantitativeanalysis of a molecular model of mitoticcontrol in fission yeast. Journal of Theo-retical Biology, 173:283–305, 1995. CO-DEN JTBIAP. ISSN 0022-5193.

Peskin:1995:GMC

[447] C. S. Peskin and D. M. McQueen. Ageneral method for the computer simu-lation of biological systems interactingwith fluids. In Ellington and Pedley[546], pages 265–276. ISBN 0-948601-50-7. LCCN QH301 .S74 no.49.

Rudy:1995:RIT

[448] Y. Rudy. Reentry: Insights from the-oretical simulations in a fixed pathway.Journal of Cardiovascular Electrophys-iology, 6(4):294–312, 1995. CODENJCELE2. ISSN 1045-3873.

Sasaki:1995:ESP

[449] A. Sasaki and S. Ellner. The evolu-tionarily stable phenotype distributionin a random environment. Evolution,49:336–350, 1995. CODEN EVOLAO.ISSN 0014-3820.

Sellers:1995:PPM

[450] James R. Sellers and Holly V. Good-son. Protein Profile. Motor Proteins 2:Myosin, volume 2(12) of Protein profile.Academic Press, New York, NY, 1995.ISSN 1070-3667. 1423 pp.

Smith:1995:TCD

[451] H. L. Smith and P. Waltman. The The-ory of the Chemostat: Dynamics of Mi-crobial Competition, volume 13 of Cam-bridge Studies in Mathematical Biol-

Page 54: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 54

ogy. Cambridge University Press, Cam-bridge, UK, 1995. ISBN 0-521-47027-7.xvi + 313 pp. LCCN QR84.5 .S65 1995.

Sneyd:1995:MCO

[452] J. Sneyd, J. Keizer, and M. J. Sander-son. Mechanisms of calcium oscilla-tions and waves: A quantitative analy-sis. The FASEB journal: official publica-tion of the Federation of American Soci-eties for Experimental Biology, 9:1463–1472, 1995. CODEN FAJOEC. ISSN0892-6638.

Sobie:1995:BSI

[453] E. A. Sobie, M. G. Fishler, and L. Tung.Biphasic shocks induce more uniform re-polarization than monophasic shocks ina cardiac cellular field excitation model.In IEEE [544], pages 257–258.

Tang:1995:FEF

[454] Yuanhua Tang and Hans G. Othmer.Frequency encoding in forced excitablesystems with applications to calciumoscillations. Proceedings of the Na-tional Academy of Sciences of the UnitedStates of America, 92:7869–7873, 1995.CODEN PNASA6. ISSN 0027-8424(print), 1091-6490 (electronic).

Trayanova:1995:VEE

[455] N. Trayanova and W. Krassowska. Vir-tual electrode effects in a bidomainmodel with electroporating membrane.In IEEE [544], pages 255–256.

Tyson:1995:CCC

[456] J. J. Tyson, B. Novak, K. C. Chen, andJ. Val. Checkpoints in the cell cycle froma modeler’s perspective. Progress in CellCycle Research, 1:1–8, 1995. ISSN 1087-2957.

Wallace:1995:MDV

[457] D. C. Wallace. Mitochondrial DNA vari-ation in human evolution, degenerativedisease, and aging. American Journal ofHuman Genetics, 57:201–223, 1995. CO-DEN AJHGAG. ISSN 0002-9297.

Whitfield:1995:SVH

[458] L. S. Whitfield, J. E. Sulston, and P. N.Goodfellow. Sequence variation of thehuman Y chromosome. Nature, 378(6555):379–380, 1995. CODEN NAT-UAS. ISSN 0028-0836 (print), 1476-4687(electronic).

Widdows:1995:SGC

[459] J. Widdows, P. Donkin, M. D. Brinsley,S. V. Evans, P. N. Salkeld, A. Franklin,R. J. Law, and M. J. Waldock. Scope forgrowth and contaminant levels in northsea mussels Mytilus edulis. Marine Ecol-ogy Progress Series, 127(1–3):131–148,1995. CODEN MESEDT. ISSN 0171-8630.

Wills:1995:WDE

[460] C. Wills. When did Eve live? anevolutionary detective story. Evolution,49:593–607, 1995. CODEN EVOLAO.ISSN 0014-3820.

Windish:1995:OMM

[461] H. Windish, H. Ahammer, P. Schaffer,W. Muller, and D. Platzer. Opticalmultisite monitoring of cell excitationphenomena in isolated cardiomyocyte.Pflugers Archiv: European Journal ofPhysiology, 430(4):508–518, 1995. CO-DEN PFLABK. ISSN 0031-6768.

Zhou:1995:OTP

[462] X. Zhou, R. E. Ideker, T. F. Blitching-ton, W. M. Smith, and S. B. Knisley.

Page 55: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 55

Optical transmembrane potential mea-surements during defibrillation-strengthshocks in perfused rabbit hearts. Cir-culation Research, 77(3):593–602, 1995.CODEN CIRUAL. ISSN 0009-7330.

Zhou:1995:RTP

[463] X. Zhou, D. L. Rollins, W. M. Smith,and R. E. Ideker. Responses of the trans-membrane potential of myocardial cellsduring a shock. Journal of Cardiovascu-lar Electrophysiology, 6:252–263, 1995.CODEN JCELE2. ISSN 1045-3873.

Ball:1996:ETL

[464] F. Ball, D. Mollison, and G. Scalia-Tomba. Epidemics with two levels ofmixing. Submitted., 1996.

Bayer:1996:OTB

[465] W. Bayer and U. an der Heiden. Oscil-lation types and bifurcations of a non-linear second order differential-differenceequation. Journal of Dynamics and Dif-ferential Equations, 1996. CODEN JD-DEEH. ISSN 1040-7294. In press.

Bees:1996:MBP

[466] M. A. Bees and N. A. Hill. Measure-ments of biconvection pattern wave-lengths in suspension of Chlamy-domonas. In preparation, 1996.

Bees:1996:WBP

[467] M. A. Bees and N. A. Hill. Wavelengthsof biconvection pattern wavelengths insuspension of Chlamydomonas. Inpreparation, 1996.

Dallon:1996:DCM

[468] John. C. Dallon and Hans G. Othmer.A discrete cell model with adaptive sig-nalling for aggregation of Dictyostelium

discoideum. To appear in Phil. Trans.Roy. Soc. Lon., 1996.

DeBruin:1996:ACI

[469] K. A. DeBruin and W. Krassowska.Electroporation as a mechanism of thesaturation of transmembrane potentialinduced by large electric fields. In 18thAnnual Conference of the IEEE Engi-neering in Medicine and Biology Soci-ety. IEEE Computer Society Press, 1109Spring Street, Suite 300, Silver Spring,MD 20910, USA, 1996. Accepted.

Diekmann:1996:FSE

[470] O. Diekmann, A. A. de Koeijer, andJ. A. J. Metz. On the final size ofepidemics within herds. Canadian Ap-plied Mathematics Quarterly, 4(1):21–30, 1996. ISSN 1073-1849.

Donnelly:1996:TSA

[471] P. Donnelly, S. Tavare, D. J. Bald-ing, and R. C. Griffiths. On the timesince Adam. Science, 272:1357–1359,1996. CODEN SCIEAS. ISSN 0036-8075(print), 1095-9203 (electronic).

Ellner:1996:EFM

[472] S. Ellner. Environmental fluctuationsand the maintenance of genetic diver-sity in age or stage-structured popula-tions. Bulletin of Mathematical Biology,58:103–128, 1996. CODEN BMTBAP.ISSN 0092-8240.

Ellner:1996:PGP

[473] S. Ellner and A. Sasaki. Patterns of ge-netic polymorphism maintained by fluc-tuating selection with overlapping gen-erations. Theoretical Population Biol-ogy, 50:31–65, 1996. CODEN TLPBAQ.ISSN 0040-5809.

Page 56: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 56

Foss:1996:MDR

[474] Jennifer Foss, Andre Longtin, BoualemMensour, and John Milton. Multistabil-ity and delayed recurrent loops. Physi-cal Review Letters, 76(4):708–711, 1996.CODEN PRLTAO. ISSN 0031-9007(print), 1079-7114 (electronic), 1092-0145.

Foss:1996:NMD

[475] J. Foss, F. Moss, and J. Milton.Noise, multistability and delayed recur-rent loops. Physical Review E (Statisti-cal physics, plasmas, fluids, and relatedinterdisciplinary topics), 1996. CODENPLEEE8. ISSN 1539-3755 (print), 1550-2376 (electronic). Submitted.

Gurney:1996:EDS

[476] W. S. C. Gurney, D. A. J. Middleton,R. M. Nisbet, E. McCauley, W. W. Mur-doch, and A. M. de Roos. The equi-librium demography of structured popu-lations. Theoretical Population Biology,1996. CODEN TLPBAQ. ISSN 0040-5809. In press.

Hairston:1996:OGS

[477] N. G. Hairston, Jr., S. Ellner, and C. M.Kearns. Overlapping generations: thestorage effect and the maintenance ofbiotic diversity. In Rhodes, Jr. et al.[549], pages 109–145. ISBN 0-226-71057-2 (cloth), 0-226-71058-0 (paper). LCCNQH352 .P628 1996.

Hanski:1996:MVP

[478] I. Hanski, A. Moilanen, and M. Gyllen-berg. Minimum viable population size.American Naturalist, 147:527–541, 1996.CODEN AMNTA4. ISSN 0003-0147.

Herwaarden:1996:SET

[479] O. A. van Herwaarden. Stochastic epi-demics: The probability of extinction ofan infectious disease at the end of a ma-jor outbreak. Journal of MathematicalBiology, 1996. CODEN JMBLAJ. ISSN0303-6812. In press.

Hill:1996:BRWa

[480] N. A. Hill and D.-P. Hader. A biasedrandom walk model for the trajectoriesof swimming micro-organisms. Journalof Theoretical Biology, 1996. CODENJTBIAP. ISSN 0022-5193. Submitted.

Hill:1996:BRWb

[481] N. A. Hill and D.-P. Hader. A biasedrandom walk model for the trajectoriesof swimming micro-organisms. Submit-ted to Philosophical Transactions of theRoyal Society of London B., 1996.

Hillesdon:1996:PFS

[482] A. J. Hillesdon and T. J. Pedley. Pat-tern formation in suspensions of oxy-tactic bacteria: liner theory. Jour-nal of Fluid Mechanics, 1996. CODENJFLSA7. ISSN 0022-1120. To appear.

Holt:1996:CPD

[483] R. D. Holt and M. A. McPeek. Chaoticpopulation dynamics favors dispersal.American Naturalist, 1996. CODENAMNTA4. ISSN 0003-0147. In press.

Holt:1996:DCE

[484] R. D. Holt. Demographic constraints inevolution: Towards unifying the evolu-tionary theories on senescence and nicheconservatism. Evolutionary Ecology, 10:1–11, 1996. CODEN EVECEJ. ISSN0269-7653.

Page 57: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 57

Holt:1996:HDI

[485] R. D. Holt and R. Gomulkiewicz. Howdoes immigration influence local adap-tation? A re-examination of a familiarparadigm. American Naturalist, 1996.CODEN AMNATH. ISSN 0269-7699. Inpress.

Keener:1996:DAD

[486] J. P. Keener. Direct activation and de-fibrillation of cardiac tissue. Journal ofTheoretical Biology, 178(313–324), 1996.CODEN JTBIAP. ISSN 0022-5193.

Koeijer:1996:MSP

[487] A. A. de Koeijer, O. Diekmann, andP. Reijnders. Modelling the spread ofPhocine Distemper Virus (PDV) amongharbor seals. Submitted., 1996.

Koutalos:1996:RSV

[488] Y. Koutalos and K. Y. Yau. Regu-lation of sensitivity in vertebrate rodphotoreceptors by calcium. Trends inNeurosciences (Regular ed.), 19(2):73–81, 1996. CODEN TNSCDR. ISSN0166-2236, 0378-5912.

Krassowska:1996:BMPa

[489] W. Krassowska. The bidomain model.part I: Derivation. IEEE Transactionson Biomedical Engineering, 1996. CO-DEN IEBEAX. ISSN 0018-9294. Sub-mitted.

Krassowska:1996:BMPb

[490] W. Krassowska. The bidomain model.part II: Limitations. IEEE Transactionson Biomedical Engineering, 1996. CO-DEN IEBEAX. ISSN 0018-9294. Sub-mitted.

Krassowska:1996:RSI

[491] W. Krassowska and M. S. Kumar. Therole of spatial interactions in creatingthe dispersion of transmembrane poten-tial by premature electric shocks. Annalsof biomedical engineering, 1996. CO-DEN ABMECF. ISSN 0090-6964. Sub-mitted.

Kunysz:1996:BBD

[492] A. Kunysz, A. Shrier, and L. Glass.Bursting behavior during fixed delaystimulation of spontaneously beatingchick heart cell aggregates. AmericanJournal of Physiology, 1996. CODENAJPHAP. ISSN 0002-9513 (print), 2163-5773 (electronic). Submitted.

Lebert:1996:HET

[493] M. Lebert and D.-P. Hader. How Eu-glena tells up from down. Nature, 379(6566):590, 1996. CODEN NATUAS.ISSN 0028-0836 (print), 1476-4687 (elec-tronic).

McCauley:1996:SPM

[494] E. McCauley, R. M. Nisbet, A. M.de Roos, W. W. Murdoch, and W. S. C.Gurney. Structured population mod-els of herbivorous zooplankton. Ecology,1996. CODEN ECOLAR. ISSN 0012-9658. In press.

McNamara:1996:OLH

[495] J. M. McNamara. Optimal life historiesfor structured populations in fluctuat-ing environments. Theoretical Popula-tion Biology, 1996. CODEN TLPBAQ.ISSN 0040-5809. In press.

Milton:1996:MPL

[496] J. Milton, W. Bayer, and U. an derHeiden. Modeling the pupil light re-

Page 58: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 58

flex with differential delay equations.Zeitschrift fur Angewandte Mathematikund Mechanik, 1996. CODEN ZAM-MAX. ISSN 0044-2267 (print), 1521-4001 (electronic). In press.

Murdoch:1996:FPE

[497] W. W. Murdoch and R. M. Nisbet. Fron-tiers of population ecology. In Floyd andSheppard [548].

Murdoch:1996:PAD

[498] W. W. Murdoch, R. M. Nisbet, E. Mc-Cauley, A. M. de Roos, and W. S. C.Gurney. Plankton abundance and dy-namics across nutrient levels: Tests ofhypotheses. Submitted to Ecology.,1996.

Nisbet:1996:MRI

[499] R. M. Nisbet, E. B. Muller, A. J. Brooks,and P. Hosseini. Models relating indi-vidual and population response to con-taminants. Submitted to EnvironmentalModeling and Assessment., 1996.

Nomura:1996:ETR

[500] T. Nomura and L. Glass. Entrainmentand termination of reentrant wave prop-agation in a periodically stimulated ringof excitable media. Physical ReviewE (Statistical physics, plasmas, fluids,and related interdisciplinary topics), 53:6353–6360, 1996. CODEN PLEEE8.ISSN 1539-3755 (print), 1550-2376 (elec-tronic).

Pumir:1996:HDE

[501] A. Pumir and V. I. Krinsky. How doesan electric field defibrillate cardiac mus-cle? Physica D, 91:205–219, 1996.CODEN PDNPDT. ISSN 0167-2789(print), 1872-8022 (electronic).

Reijnders:1996:RSC

[502] P. J. H. Reijnders, S. M. J. M. Brasseur,and E. H. Ries. The release of seals fromcaptive breeding and rehabilitation pro-grammes: a useful conservation manage-ment tool? In Aubin et al. [547], pages54–65. ISBN ???? LCCN ????

Richardson:1996:DBS

[503] D. E. Richardson and J. R. Goreck.Deep brain stimulation for pain re-lief. In Wilkins and Rengachary [550],pages 4021–4027. ISBN 0-07-079991-1(set: hard cover), 0-07-070313-2 (vol.1: hard cover) 0-07-070314-0 (vol. 2:hard cover) 0-07-070315-9 (vol. 3: hardcover). LCCN WL368 N52 1996.

Roos:1996:RIL

[504] A. M. de Roos, E. McCauley, R. M. Nis-bet, W. S. C. Gurney, and W. W. Mur-doch. Relating individual life-historyand population dynamics in Daphniapulex : Is the population more than a col-lection of individuals?, 1996. In prepa-ration.

Sasaki:1996:QGV

[505] A. Sasaki and S. Ellner. Quantitativegenetic variance and covariance main-tained by fluctuating selection with over-lapping generations. Evolution, 1996.CODEN EVOLAO. ISSN 0014-3820.Submitted.

Spiro:1996:MEA

[506] Peter Spiro, John S. Parkinson, andH. G. Othmer. A model of excitationand adaptation in bacterial chemotaxis.Submitted to PNAS, 1996.

Page 59: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 59

Tang:1996:SAM

[507] Y. Tang, J. Stephenson, and H. G.Othmer. Simplification and analysis ofmodels of calcium dynamics based onip-sensitive calcium channel dynamics.Biophysical Journal, 70:246–263, 1996.CODEN BIOJAU. ISSN 0006-3495.

Tavare:1996:ICT

[508] S. Tavare, D. J. Balding, R. C. Griffiths,and P. Donnelly. Inferring coalescencetimes from DNA sequence data. Ge-netics, 1996. CODEN GENTAE. ISSN0016-6731. Submitted.

Tuljapurkar:1996:SMM

[509] Shripad Tuljapurkar and Hal Caswell.Structured-Population Models in Ma-rine, Terrestrial, and Freshwater Sys-tems. Chapman and Hall, Ltd., Lon-don, UK, 1996. ISBN 0-412-07261-0(hardcover), 0-412-07271-8 (paperback).LCCN QH352 .S86 1996.

Tyson:1996:CKT

[510] J. J. Tyson, B. Novak, G. M. Odell,K. Chen, and C. D. Thron. Chemicalkinetic theory as a tool for understand-ing the regulation of M-phase promotingfactor in the cell cycle. Trends in bio-chemical sciences, 21:89–96, 1996. CO-DEN TBSCDB, TBSRDM. ISSN 0968-0004, 0167-7640, 0376-5067.

Vincent:1996:BSP

[511] R. V. Vincent and N. A. Hill. Biocon-vection in a suspension of phototactic al-gae. Journal of Fluid Mechanics, 300:1–29, 1996. CODEN JFLSA7. ISSN 0022-1120. To appear.

Zhou:1996:TPC

[512] X. Zhou, W. M. Smith, R. E. Ideker, andD. L. Rollins. Transmembrane poten-tial changes caused by shocks in guineapig papillary muscle. American Journalof Physiology, 1996. CODEN AJPHAP.ISSN 0002-9513 (print), 2163-5773 (elec-tronic). to appear.

Hairston:1997:PVZ

[513] N. G. Hairston, Jr., C. M. Kearns, andS. Ellner. Phenotypic variation in a zoo-plankton egg bank. Ecology, 1997. CO-DEN ECOLAR. ISSN 0012-9658. Inpress.

Holt:1997:RES

[514] R. D. Holt. Rarity and evolution; sometheoretical considerations. In Kunin andGaston [551], pages 209–234. ISBN ????LCCN ???? In press.

Leibovic:1969:IPN

[515] K. N. Leibovic, editor. Informationprocessing in the nervous system; pro-ceedings of a symposium held at theState University of New York at Buf-falo, 21st–24th October, 1968. Springer-Verlag, Berlin, Germany / Heidelberg,Germany / London, UK / etc., 1969.

Green:1970:LED

[516] A. E. Green and J. E. Adkins. Largeelastic deformations. Clarendon Press,Oxford, UK, 1970. ISBN 0-19-853334-9.xiv + 324 pp. LCCN QA935.G73 1970.

Rice:1972:SMN

[517] Stuart A. Rice, Karl F. Freed, andJohn C. Light, editors. Statistical me-chanics; new concepts, new problems,new applications. University of Chicago

Page 60: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 60

Press, Chicago, IL, USA, 1972. ISBN 0-226-71115-3. LCCN QC175 .I5 1971. IU-PAP Conference on Statistical Mechan-ics (6th: 1971: Chicago, IL).

Fitzgibbon:1977:ND

[518] W. E. Fitzgibbon, III and H. F. Walker,editors. Nonlinear Diffusion, volume 14of Research notes in mathematics. Pit-man Publishing Ltd., London, UK,1977. ISBN 0-273-01066-2. 232 pp.LCCN QA274.75 .N66.

Baan:1978:CSD

[519] Jan Baan, Abraham Noordergraaf, andJeff Raines, editors. Cardiovascular Sys-tem Dynamics. MIT Press, Cambridge,MA, USA, 1978. ISBN 0-262-18078-2.xiv + 618 pp. LCCN RC670.C37.

Segel:1980:MMM

[520] Lee A. Segel, editor. MathematicalModels in Molecular and Cellular Biol-ogy. Cambridge University Press, Cam-bridge, 1980. ISBN 0-521-22925-1. ix +757 pp. LCCN QH506 .M38.

Reijnders:1981:MMW

[521] P. J. H. Reijnders and W. J. Wolff, ed-itors. Marine Mammals of the WaddenSea: final report of the section ‘marinemammals’ of the Wadden Sea Work-ing Group. Balkema, Rotterdam, 1981.ISBN 90-6191-057-9. 64 pp. LCCNQL713.2 .M364 1982.

Strathern:1981:MBY

[522] Jeffrey N. Strathern, Elizabeth W.Jones, and James R. Broach, editors.The Molecular Biology of the Yeast Sac-charomyces. Cold Spring Harbor Labo-ratory, Cold Spring Harbor, NY, USA,

1981. ISBN 0-87969-149-2. x + 680 pp.LCCN QK623.S23 M643 1982.

Glover:1981:GTM

[523] S. W. Glover and D. A. Hopwood, ed-itors. Genetics as a tool in microbiol-ogy. Cambridge University Press, Cam-bridge, UK, 1981. ISBN 0-521-23748-3.LCCN QR1 .S7 v.31.

Koch:1982:EPS

[524] G. Koch and F. Spizzichino, editors. Ex-changeability in probability and statis-tics: proceedings of the InternationalConference on Exchangeability in Prob-ability and Statistics, Rome, 6th–9thApril, 1981, in honour of ProfessorBruno de Finetti. North-Holland Pub-lishing Co., Amsterdam, The Nether-lands, 1982. ISBN 0-444-86403-2. LCCNQA273.A1 I55 1981.

Nurse:1984:MCC

[525] Paul Nurse and Eva Streiblova, editors.The Microbial Cell Cycle. CRC Press,2000 N.W. Corporate Blvd., Boca Ra-ton, FL 33431-9868, USA, 1984. ISBN0-442-30778-0, 0-17-771103-5. 88 pp.LCCN QR73.7 .M53 1984.

Field:1985:OTW

[526] Richard J. Field and Maria Burger, ed-itors. Oscillations and Traveling Wavesin Chemical Systems. Wiley, 1985. ISBN0-471-89384-6. LCCN QD502 .O83 1985.US$85.00.

Meinardus:1985:DEA

[527] G. Meinardus and G. Nurnberger, edi-tors. Delay Equations, Approximationand Application: international sympo-sium at the University of Mannheim,

Page 61: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 61

October 8–11, 1984, volume 74 of Inter-national series of numerical mathemat-ics. Birkhauser Verlag, Basel, Switzer-land, 1985. ISBN 3-7643-1733-7. LCCNQA371 .D37 1985.

Press:1986:NRA

[528] William H. Press, Brian P. Flannery,Saul A. Teukolsky, and William T. Vet-terling. Numerical Recipes: The Art ofScientific Computing. Cambridge Uni-versity Press, Cambridge, UK, 1986.ISBN 0-521-30811-9. 390–396; 449–453;and 646–647 (of xx + 818) pp. LCCNQA76.73.F25N84 1986.

Rensing:1987:TDH

[529] L. Rensing, U. an der Heiden, andM. C. Mackey, editors. Temporal Disor-der in Human Oscillatory Systems, vol-ume 36 of Springer series in synergetics.Springer-Verlag, Berlin, Germany / Hei-delberg, Germany / London, UK / etc.,1987. ISBN 0-387-17765-5. ix + 259 pp.LCCN QP84.6 .T44 1987.

Eisen:1988:SIC

[530] E. J. Eisen, M. M. Goodman,G. Namkoong, and B. S. Weir, edi-tors. The Second International Confer-ence on Quantitative Genetics. SinauerAssociates, Inc., Sunderland, MA, 1988.ISBN 0-87893-900-8, 0-87893-901-6 (pa-perback). xii + 724 pp.

Neumann:1989:EEC

[531] E. Neumann, A. E. Sowers, and C. A.Jordan, editors. Electroporation andElectrofusion in Cell Biology. PlenumPress, New York, NY, USA; London,UK, 1989. ISBN 0-306-43043-6. xviii +436 pp. LCCN QH585.5.E48 E44 1989.

Zipes:1990:CEC

[532] D. P. Zipes and J. Jalife, editors. Car-diac Electrophysiology: From Cell toBedside. W. B. Saunders, Philadelphia,PA, USA, 1990. ISBN 0-7216-1408-6.xxiv + 1034 + 2 pp. LCCN WG330 C381990.

Borsellino:1990:ST

[533] A. Borsellino, L. Cervetto, and V. Torre,editors. Sensory Transduction. PlenumPress, New York, NY, USA; London,UK, 1990.

Goldstein:1991:DEA

[534] Jerome A. Goldstein, Franz Kappel, andWwilhelm Schappacher, editors. Differ-ential Equations with Applications in Bi-ology, Physics, and Engineering. MarcelDekker, Inc., New York, NY, 1991. ISBN0-8247-8571-1. xiii + 332 pp. LCCNQA370 .D56 1991.

Guyton:1991:TMP

[535] Arthur C. Guyton. Textbook of Medi-cal Physiology. W. B. Saunders Com-pany, Philadelphia PA, 1991. ISBN 0-7216-3087-1. 97–109 (of xli + 1014) pp.LCCN QP34.5.G9 1991.

Holden:1991:NWP

[536] A. V. Holden, M. Markus, and Hans G.Othmer, editors. Nonlinear Wave Pro-cesses in Excitable Media, volume 244of NATO ASI series. Series B, Physics.Plenum Press, New York, NY, USA;London, UK, 1991. ISBN 0-306-43800-3.LCCN QA927 .N27 1989.

DeAngelis:1992:IMA

[537] Donald L. DeAngelis and Louis J. Gross,editors. Individual-based models and ap-

Page 62: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 62

proaches in ecology: populations, com-munities, and ecosystems. Routledge,Chapman and Hall, New York, NY,1992. ISBN 0-412-03161-2 (hardcover),0-412-03171-X (paperback). xix + 525pp. LCCN QH352 .I53 1992. US$65.00(hardcover), US$29.00 (paperback).

Takahata:1992:MME

[538] Naoyuki Takahata and Andrew G.Clark, editors. Mechanisms of Molec-ular Evolution: Introduction to Molec-ular Paleopopulation Biology. SinauerAssociates, Inc., Sunderland, MA, 1992.ISBN 4-7622-6718-X, 0-87893-825-7. x+ 250 pp. LCCN QH352 .M43 1993.

Chorin:1993:MIF

[539] Alexandre J. Chorin and Jerrold E.Marsden. A Mathematical Introductionto Fluid Mechanics. Springer-Verlag,New York NY, 1993. ISBN 0-387-97918-2. ix + 169 pp. LCCN QA901.C53 1993.

Josephson:1993:TMM

[540] M. E. Josephson and H. J. J. Wellens,editors. Tachycardias: Mechanisms andManagement, volume 6 of The BakkenResearch Center series. Futura, MountKisco, NY, USA, 1993. ISBN 0-87993-549-9. xii + 564 pp. LCCN WG 330T117-3 1993.

Kareiva:1993:BIG

[541] P. M. Kareiva, J. G. Kingsolver, andR. B. Huey, editors. Biotic Interactionsand Global Climate Change. Sinauer As-sociates, Inc., Sunderland, MA, 1993.ISBN 0-87893-429-4, 0-87893-430-8 (pa-perback). xii + 559 pp. LCCN QH546.B55 1993. US$55.00, US$35.00 (paper-back).

Othmer:1993:ETA

[542] H. G. Othmer, P. K. Maini, and J. D.Murray, editors. Experimental and The-oretical Advances in Biological PatternFormation, volume 259 of NATO ASIseries. Series A, Life sciences. PlenumPress, New York, NY, USA; London,UK, 1993. ISBN 0-306-44661-8. ix +388 pp. LCCN QH491 .N38 1993.

Yoshimura:1993:ASE

[543] J. Yoshimura and C. W. Clark, editors.Adaptation in Stochastic Environments,volume 98 of Lecture Notes in Biomath-ematics. Springer-Verlag, Berlin, Ger-many / Heidelberg, Germany / London,UK / etc., 1993. ISBN 3-540-56681-3(Berlin), 0-387-56681-3 (New York). vi+ 193 pp. LCCN QH546 .A28 1993.

IEEE:1995:PAI

[544] IEEE, editor. Proceedings of the 17thAnnual International Conference of theIEEE Engineering in Medicine and Biol-ogy Society (EMBS): Montreal, Canada,September 20–23, 1995. IEEE ComputerSociety Press, 1109 Spring Street, Suite300, Silver Spring, MD 20910, USA,1995.

Bock:1995:CWG

[545] Gregory Bock and Kate Ackrill, edi-tors. Calcium Waves, Gradients and Os-cillations, volume 188 of Ciba Founda-tion symposium. John Wiley and Sons,New York, NY, USA; London, UK;Sydney, Australia, 1995. ISBN 0-471-95234-6. LCCN QP535.C2 C267 1995.UK£47.50. Proceedings of a symposiumheld at Ciba Foundation, London, 26–28April 1994.

Page 63: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 63

Ellington:1995:BFD

[546] C. P. Ellington and T. J. Pedley, editors.Biological Fluid Dynamics: Proceedingsof a meeting held at the University ofLeeds, UK, 4–8 July 1994, volume 49 ofSymposia of the Society for Experimen-tal Biology. The Company of BiologistsLimited, Cambridge, UK, 1995. ISBN 0-948601-50-7. LCCN QH301 .S74 no.49.

Aubin:1996:RRR

[547] David J. St. Aubin, Joseph R. Geraci,and Valerie J. Lounsbury, editors. Res-cue, Rehabilitation and Release of Ma-rine Mammals: An Analysis of CurrentViews and Practices: Proceedings of aworkshop held in Des Plaines, Illinois,3–5 December 1991, volume NMFS-OPR 8 of NOAA technical memoran-dum. NOAA, Washington, DC, 1996.ISBN ???? 65 pp. LCCN ????

Floyd:1996:FPE

[548] R. B. Floyd and A. W. Sheppard, ed-itors. Frontiers of Population Ecol-ogy. CSIRO Press, Melbourne, Aus-tralia, 1996.

Rhodes:1996:PDE

[549] Olin E. Rhodes, Jr., Ronald K. Chesser,and Michael H. Smith, editors. Pop-ulation Dynamics in Ecological Spaceand Time. University of Chicago Press,Chicago, IL, USA, 1996. ISBN 0-226-71057-2 (cloth), 0-226-71058-0 (paper).viii + 388 pp. LCCN QH352 .P628 1996.

Wilkins:1996:N

[550] Robert H. Wilkins and Setti S. Ren-gachary, editors. Neurosurgery. Mc-Graw-Hill, New York, NY, USA, 1996.ISBN 0-07-079991-1 (set: hard cover),

0-07-070313-2 (vol. 1: hard cover) 0-07-070314-0 (vol. 2: hard cover) 0-07-070315-9 (vol. 3: hard cover). xlv + 4271+ 96 pp. LCCN WL368 N52 1996.

Kunin:1997:BR

[551] W. Kunin and K. Gaston, editors. TheBiology of Rarity. Chapman and Hall,Ltd., London, UK, 1997. ISBN ???????? pp. LCCN ????

Adler:1997:PIE

[552] Frederick R. Adler. Part I: Ecol-ogy and evolution. In Othmeret al. [573], pages 1–2. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.

Ellner:1997:YBY

[553] Stephen P. Ellner. You bet your life:Life-history strategies in fluctuating en-vironments. In Othmer et al. [573],chapter 1, pages 3–24. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.

Holt:1997:ESN

[554] Robert D. Holt and Richard Go-mulkiewicz. The evolution of species’niches: A population dynamic per-spective. In Othmer et al. [573],chapter 2, pages 25–50. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/

Page 64: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 64

index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.

Diekmann:1997:RME

[555] Odo Diekmann. Reflections on mod-els of epidemics triggered by the caseof Phocine Distemper Virus amongseals. In Othmer et al. [573], chap-ter 3, pages 51–59. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.

Nisbet:1997:SRB

[556] R. M. Nisbet, E. McCauley, W. S. C.Gurney, W. W. Murdoch, and A. M.de Roos. Simple representations ofbiomass dynamics in structured pop-ulations. In Othmer et al. [573],chapter 4, pages 61–79. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.

Tavare:1997:AID

[557] Simon Tavare. Ancestral inference fromDNA sequence data. In Othmer et al.[573], chapter 5, pages 81–96. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.

Lewis:1997:PIC

[558] Mark A. Lewis. Part II: Cell biology. InOthmer et al. [573], pages 97–98. ISBN0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.

Othmer:1997:STS

[559] Hans G. Othmer. Signal trans-duction and second messenger sys-tems. In Othmer et al. [573], chap-ter 6, pages 99–126. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.

Tyson:1997:ECC

[560] John J. Tyson, Kathy Chen, and BelaNovak. The eukaryotic cell cycle:Molecules, mechanisms, and mathemat-ical models. In Othmer et al. [573],chapter 7, pages 127–147. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.

Mackey:1997:MMH

[561] Michael C. Mackey. Mathematical mod-els of hematopoietic cell replicationand control. In Othmer et al. [573],chapter 8, pages 149–178. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://

Page 65: A Bibliography of Case Studies in Mathematical Modeling ...ftp.math.utah.edu/pub/tex/bib/csmmepcb.pdf · A Bibliography of Case Studies in Mathematical Modeling|Ecology, Physiology,

REFERENCES 65

www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.

Milton:1997:OMD

[562] John Milton and Jennifer Foss. Oscilla-tions and multistability in delayed feed-back control. In Othmer et al. [573],chapter 9, pages 179–198. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.

Sherman:1997:CMP

[563] Arthur Sherman. Calcium and mem-brane potential oscillations in pancre-atic β-cells. In Othmer et al. [573],chapter 10, pages 199–217. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.

Othmer:1997:PIP

[564] Hans G. Othmer. Part III: Physiol-ogy. In Othmer et al. [573], pages219–220. ISBN 0-13-574039-8. LCCNQH541.15.M3C37 1997. US$41.00. URLhttp://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html; http://www.phptr.com/.

Pate:1997:MMM

[565] Edward Pate. Mathematical mod-eling of muscle crossbridge mechan-ics. In Othmer et al. [573], chap-

ter 11, pages 221–254. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.

Glass:1997:TPR

[566] Leon Glass. The topology of phaseresetting and the entrainment of limitcycles. In Othmer et al. [573], chap-ter 12, pages 255–276. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.

Krassowska:1997:MIC

[567] Wanda Krassowska. Modeling the in-teraction of cardiac muscle with strongelectric fields. In Othmer et al. [573],chapter 13, pages 277–308. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.

Peskin:1997:FDH

[568] Charles S. Peskin and David M. Mc-Queen. Fluid dynamics of the heartand its valves. In Othmer et al. [573],chapter 14, pages 309–337. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.

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REFERENCES 66

Hill:1997:B

[569] N. A. Hill. Bioconvection. In Oth-mer et al. [573], chapter 15, pages339–351. ISBN 0-13-574039-8. LCCNQH541.15.M3C37 1997. US$41.00. URLhttp://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html; http://www.phptr.com/.

Adler:1997:AM

[570] Frederick R. Adler. Age-structuredmodels. In Othmer et al. [573], pages353–356. ISBN 0-13-574039-8. LCCNQH541.15.M3C37 1997. US$41.00. URLhttp://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html; http://www.phptr.com/. Ap-pendix A.

Lewis:1997:QTO

[571] Mark A. Lewis and Hans G. Othmer.Qualitative theory of ordinary differ-ential equations. In Othmer et al.[573], pages 357–380. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/. Appendix B.

Othmer:1997:IPD

[572] Hans G. Othmer. An introduction topartial differential equations. In Oth-mer et al. [573], pages 381–386. ISBN 0-13-574039-8. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/. Appendix C.

Othmer:1997:CSM

[573] H. G. Othmer, F. R. Adler, M. A. Lewis,and J. C. Dallon, editors. Case Stud-ies in Mathematical Modeling—Ecology,Physiology, and Cell Biology. Pren-tice-Hall, Englewood Cliffs, NJ 07632,USA, 1997. ISBN 0-13-574039-8. viii+ 411 pp. LCCN QH541.15.M3C371997. US$41.00. URL http://www.math.utah.edu/books/csmmepcb/index.html; http://www.math.utah.edu/pub/tex/bib/csmmepcb.html;http://www.phptr.com/.