the analysis of mammalian tissue into lipid and lipid-free fractions using x and gamma radiation

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IEEE Tuznaction on NuCteoAv Science, Vo1.NS-23, No.1, Feb'uaty 1976 THIE ANALYSIS OF MAMMALIAN TISSUE INTO LIPID AND LIPID-FREE FRACTIONS USING X AND GAMMA RADIATION L. E. Preuss, F. P. Bolin, C. K. Bugenis Department of Physics & Biophysics Edsel B. Ford Institute for Medical Research Detroit, Michigan 48202 SUMMARY The fat and fat-free (muscle) constituents of soft tissue have mass absorption coefficients which are sufficiently separated in the 10-100 keV range as to allow the relative proportions of each of these components to be non-destructively determined by photon absorptiometry. The use of a dual photon beam eliminates variations due to sample density and thickness, thus making the method suitable for in vivo as well as in vitro work. THEORY The basis for this study is the simple expon- ential absorption law: ln (I I) = A p x (1) where I and I are, respectively, the incident and transmiRted intensities of a monochromatic beam, p the density, x the sample thickness, and A the total mass absorption coefficient of the sample. By using beams of two diffeient energies, the following ratio can be established: grative scanning technique to ascertain the average proportions of fat and lean in the sample. The scan- ning method we have employed require that data be accumulated at a number of points separated by dis- crete spatial intervals. The R value is then calcu- lated as follows: ln (Iol/Il) i (6) R = I ln (I02/I2) i The numbers 1 and 2 refer to the two different energy beams while the subscript i refers to the individual data points. A second method for calculating the R value involves plotting the data points, measuring the two areas, and dividing to get the R value. Equation (5) then yields the fraction of muscle. The compo- sition of the absc'ber determines the best choice of photon energies. For tissue thickn83 ranging up to 10 cm. our choice of radiation is Cd which provides an 88 keV gamma ray and a 22 keV x ray. In additlojto having its photons in the proper energy range, Cd offers the advantages of stable output and compactness; also, the gamma is monochromatic and the x ray can be made n 9ly s82 filteyw. Gder , sible sources are Xe, Am, I and ln(01 1) R l= (I /2 I) ln 02 2 -4l x 4 = = i2 p x 42 (2) Assume the two components to be muscle and fat and let the fractional proportions be P and Pf respec- tively. The mass absorption coefhcients in (1) can then be written as " ml Pm , fl Pf 3 '2 m2 Pm + f2 Pf (4) Letting P + Pf 1 and substituting into (3) and (4) we obtain m R ((ml :f 1) m f2) PM +f2 It is at once seen that since the A Is can be determined from the elemental composition of fat and muscle, P can be determined from an experimental determina- m tion of R (see equation (2) ). When working on in vivo samples it frequently happens that the distribution of lipid material is non- uniform. If this occurs one may resort to an inte- INSTRUMENTATION Electronics The electronic system includes a preamp, lin- ear amplifier, two single-channel analyzers, two scalers, a timer, and a paper print-out. Occasion- ally the system amplification may drift or the spec- trum may be distorted by ambient temperature changes. To monitor this possibility we have a multi-channel analyzer and oscilloscope connected into the system. Source The source holder and detector ;sembly pro- vide collimation and alignment. The Cd is elec- troplated onto a one cm. silver disc. The size of the deposit is 3 mm. and the amount of cadmium is approximately 6 micrograms. The silver disc is fixed to the top of a brass cylinder which is in turn mounted into a source shield. The cylinder can be positioned at various distances from the aperture of the shield to control the collimator angle. A filter of 4 mil Pd eliminates most of the K radiation and leaves the K x ray of about 22 keV. The filter is 549

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IEEE Tuznaction on NuCteoAv Science, Vo1.NS-23, No.1, Feb'uaty 1976

THIE ANALYSIS OF MAMMALIAN TISSUE INTO LIPID AND LIPID-FREE

FRACTIONS USING X AND GAMMA RADIATION

L. E. Preuss, F. P. Bolin, C. K. BugenisDepartment of Physics & Biophysics

Edsel B. Ford Institute for Medical ResearchDetroit, Michigan 48202

SUMMARY

The fat and fat-free (muscle) constituents ofsoft tissue have mass absorption coefficients whichare sufficiently separated in the 10-100 keV rangeas to allow the relative proportions of each of thesecomponents to be non-destructively determined byphoton absorptiometry. The use of a dual photonbeam eliminates variations due to sample densityand thickness, thus making the method suitable forin vivo as well as in vitro work.

THEORY

The basis for this study is the simple expon-ential absorption law:

ln (I I) = A p x (1)

where I and I are, respectively, the incident andtransmiRted intensities of a monochromatic beam,p the density, x the sample thickness, and A thetotal mass absorption coefficient of the sample. Byusing beams of two diffeient energies, the followingratio can be established:

grative scanning technique to ascertain the averageproportions of fat and lean in the sample. The scan-ning method we have employed require that data beaccumulated at a number of points separated by dis-crete spatial intervals. The R value is then calcu-lated as follows:

ln (Iol/Il) i

(6)R =

Iln (I02/I2) i

The numbers 1 and 2 refer to the two different energybeams while the subscript i refers to the individualdata points. A second method for calculating the Rvalue involves plotting the data points, measuring thetwo areas, and dividing to get the R value. Equation(5) then yields the fraction of muscle. The compo-sition of the absc'ber determines the best choice ofphoton energies. For tissue thickn83 ranging upto 10 cm. our choice of radiation is Cd whichprovides an 88 keV gamma ray and a 22 keV x ray.In additlojto having its photons in the proper energyrange, Cd offers the advantages of stable outputand compactness; also, the gamma is monochromaticand the x ray can be made n9ly s82 filteyw.

Gder ,sible sources are Xe, Am, I and

ln(01 1)Rl= (I /2I)ln 02 2

-4l x 4= =

i2 p x 42(2)

Assume the two components to be muscle and fat andlet the fractional proportions be P and Pf respec-tively. The mass absorption coefhcients in (1) canthen be written as

"ml Pm,

fl Pf 3

'2m2 Pm +f2 Pf (4)

Letting P + Pf 1 and substituting into (3) and (4)we obtainm

R ((ml :f 1) mf2) PM +f2

It is at once seen that since the A Is can be determinedfrom the elemental composition of fat and muscle, Pcan be determined from an experimental determina- mtion of R (see equation (2) ).

When working on in vivo samples it frequentlyhappens that the distribution of lipid material is non-uniform. If this occurs one may resort to an inte-

INSTRUMENTATION

Electronics

The electronic system includes a preamp, lin-ear amplifier, two single-channel analyzers, twoscalers, a timer, and a paper print-out. Occasion-ally the system amplification may drift or the spec-trum may be distorted by ambient temperaturechanges. To monitor this possibility we have amulti-channel analyzer and oscilloscope connectedinto the system.

Source

The source holder and detector;sembly pro-vide collimation and alignment. The Cd is elec-troplated onto a one cm. silver disc. The size ofthe deposit is 3 mm. and the amount of cadmium isapproximately 6 micrograms. The silver disc isfixed to the top of a brass cylinder which is in turnmounted into a source shield. The cylinder can bepositioned at various distances from the aperture ofthe shield to control the collimator angle. A filterof 4 mil Pd eliminates most of the K radiation andleaves the K x ray of about 22 keV. The filter is

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positioned at the source shield aperture.

Scanning System

The source-detector configuration is rigidlylinked together to provide a constant collimation angleand to preserve alignment. This configuration restson a platform which is driven by a worm gear andstepping motor allowing it to scan across the samplein fixed distance increments or in continuous motion.A second track and motor provide for motion in aperpendicular direction. A prototype arm-supportplatform has been fabricated to allow scans over thetriceps region of the arm. The platform is so con-structed as to allow accurate repositioning of the armat a later date.

RE SULTS

Our ultimate aim is to develop an accuratemethod of measuring tissue lipid content in vivo.Unfortunately, there is no accurate means to verifythe in vivo results against. For this reason we mustrely on data derived from in vitro experiments forverification of the accuracy of this method.

Bovine tissue

The most significant in vitro studies were doneon beef tissue. Beef muscle and fat were mixedtogether in varying proportions, and homogenizedwith a laboratory blender. The resultant mixture wasanalyzed first by the dual photon method and subse-quently by ether extraction of the fat. Table Ipresents a sampling of results.

TABLE I

ANALYSIS OF BEEF MUSCLE

Sample

123456

Fat Fraction(from R)

.098

.225

.338

.443

.7641. 005

Fat Fraction(from Extraction)

.097

.224

.332

.448

.7621.000

Table I. Experimentail determined fat fractions ofanimal tissue using a Cd source are comparedwith fat fractions determined from chemical analy-sis.

The good correlation shown in Table I implies thattissue samples can be measured accurately to withinabout 1%.

Human Tissue

We have completed some initial studies on

human volunteers, the region of measurement beingconfined to the upper arm. Contemporaneously withthe fat-lean determination, the skinfold thickness ofthe upper arm was measured along with a number ofother variables such as height and weight. The skin-fold is a measure of the thickness of the subcutaneousfat layer and, therefore, it can be expected that therewill be a positi$6correlation with the lipid valuemeasured with Cd. Table II exhibits the resultsof fat-lean and skinfold measurements on seven vol-unteer subjects.

TABLE II

SKINFOLD vs PERCENT FAT

Subj ectSkinfold Thickness

(mm)

1234567

% Fat

6. 016. 017.728. 715.024. 329. 6

7. 022. 12 9. 93 1. 031. 442. 242. 3

Table II. A comparison of the fat values at the tri-ceps area of seven volunteers obtained by skinfoldand dual beam x-ray absorptiometry. The coeffici-ent of correlation in this study between the twomethods is 0. 85.

CONCLUSION

Further studies are needed to assess the sig-nificance of upper arm composition in relation tooverall body health and physical well-being. Thereare numerous indications that a fast, accurate meth-od of determining body leanness would aid in a moreaccurate diagnosis of disease states, especiallymetabolic disorders, and perhaps provide a methodof early detection and/or prevention now lacking inmany disorders.

BIBLIOGRAPHY

1. Preuss L. E. and Bolin F. P. Advances inX-ray Analysis Ed. Birks et al, Vol. 16 Plenum,New York (1972).

2. Preuss L. E. and Schmonsees W. Int. J. Appl.Radiat. Isotopes 23, 9 (1972).

3. Preuss L. E., Bolin F. P., Piper D. G. andBugenis C. K., Int. J. Appl. Radiat. Isotopes26, pp. 329-332 (1975).

4. Mazess R. B., Cameron J. R. and Sorenson J. A.AEC Report No. Coo-1422-55 (1969).

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