mae488 hw # 2
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3- Load-velocity Relationship in skeletal muscle
The speed at which a muscle changes length (usually regulated by external forces, such as load
or other muscles) also affects the force it can generate. Force declines in a hyperbolic fashionrelative to the isometric force as the shortening velocity increases, eventually reaching zero at
some maximum velocity. The reverse holds true for when the muscle is stretched – force
increases above isometric maximum, until finally reaching an absolute maximum. This has
strong implications for the rate at which muscles can perform mechanical work (power). Since
power is equal to force times velocity, the muscle generates no power at either isometric force
(due to zero velocity) or maximal velocity (due to zero force). Instead, the optimal shortening
velocity for power generation is approximately one-third of maximum shortening velocity.
Force –velocity relationship: right of the vertical axis concentric contractions (the muscle is shortening),
left of the axis excentric contractions (the muscle is lengthened under load); power developed by themuscle in red.
Motor Unit
A motor unit consists of one alpha motor neuron together with all the muscle fibers it
stimulates. Since the human body contains, on average, 250,000,000 muscle cells and
approximately 420,000 motor neurons, a motor unit will generally consist of a single motor
neuron paired with many muscle fibers. In strength training, the early strength gains seen by
novices are often not gains in size or number of muscle fibers, but activation of motor units that
had been previously dormant. The motor neuron is a specialized type of nervous cell that runs
between the central nervous system and the muscles. Neurons typically consist of a cell body
(the axon) and the dendrites. If a neuron were to be seen as a tree, the axon would be
analogous to the trunk and the dendrites to the branches. Neurons found within the brain
normally have relatively short axons, but neurons that are part of a motor unit — because they
must connect to the muscles of the body — have elongated axons that run through the spinal
cord, and out to the associated muscle fibers. Each muscle fiber is connected to a particular
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dendrite, and it is through the dendrites that messages are relayed between the central
nervous system and the muscle fiber.
Isometric Contraction
An isometric contraction of a muscle generates force without changing length. An example canbe found when the muscles of the hand and forearm grip an object; the joints of the hand do
not move, but muscles generate sufficient force to prevent the object from being dropped.
Question # 6
SIMM is a widely used software system for modeling the musculoskeletal system. OpenSIMM, a
free application with complementary capabilities, has recently been introduced. Together,
these two software systems offer biomechanics researchers unsurpassed capabilities for
modeling and simulation of the musculoskeletal system.
SIMM
SIMM was introduced in the early 1990s and has become adopted by the biomechanicscommunity. This software is now used by hundreds of biomechanics researchers to create
computer models of musculoskeletal structures and to simulate movements such as walking,
cycling, running, and stair climbing. Using SIMM, models of the lower and upper extremities
were developed to examine the biomechanical consequences of surgical procedures including
tendon surgeries, osteotomies and total joint replacements. A lower-extremity model was used
to estimate muscle-tendon lengths, velocities, moment arms, and induced accelerations during
normal and pathologic gait. SIMM has helped bring simulation to biologists who have created
computational models of the frog, tyrannosaur, cockroach, and other animals. Version 5.0 of
SIMM was released in February 2010, and includes new features designed to aid clinical gait
analysis, such as batch-processing capabilities, calculation of heel strike and toe off events,averaging of multiple trials, and AVI movie output. Although SIMM helps formulate models of
the musculoskeletal system and create dynamic simulations of movement, it has relatively
limited tools for computing muscle excitations that produce coordinated movement and for
analyzing the results of dynamic simulations. These complementary capabilities are provided by
OpenSIMM.
OpenSIMM
OpenSimm is an open-source software system that lets users create and analyze dynamic
simulations of movement . It is being developed at Simbios, a NIH center at Stanford University
for physics-based simulation of biological structures. It contains modules that scale a generic
musculoskeletal model to fit a specific subject, fit the model to recorded marker data (inverse
kinematics), perform inverse dynamics, and generate muscle-driven forward simulations from
recorded gait data. OpenSimm can import and export most SIMM models. It contains a muscle
editor, model viewer, coordinate viewer, and plotting tool, but no other model editing tools
(e.g., there is no joint editor, body editor, wrap editor, marker editor, deform editor, or
constraint editor). Version 2.0 was released in January 2010, and includes contact modeling,
static optimization to estimate muscle and joint forces, and an application programmer’s
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interface (API) that enables software developers to call OpenSim functions from their own
programs or MATLAB.
The main benefits of OpenSim 2.0 over SIMM 5.0 are that it:
has a more full-featured model scaling utility (e.g., can require that left and right sides
be of equal size)
has a more full-featured inverse kinematics utility (e.g., can explicitly specify some joint
angles while using markers to track others)
contains "residual reduction algorithm" to make recorded motion data more
dynamically consistent with recorded ground reaction forces, resulting in more accurate
inverse dynamics results
can generate muscle-driven forward dynamic simulations that reproduce recorded gaitdata (using computed muscle control algorithm)
can perform dynamic simulations without SD/FAST or a C compiler
has more extensive analysis features for dynamic simulations
LifeMod
LifeMOD is a complete, state-of-the-art virtual human modeling and simulation software
solution. Its advanced capabilities and intuitive graphical interface, developed and refined over
two decades, enable engineers, designers, and others interested in biomechanics to create
human models of any order of fidelity, report true engineering data, and enable rapid and
repetitive testing of designs, all while slashing time, cost, and risk from new product
development.The leading human modeling solution across a wide variety of industries, LifeMOD is used by
more than 600 corporate clients and hundreds of universities and research institutions
worldwide. Many of our orthopaedic customers are realizing productivity increases up to 20%
and decreases in development costs by up to 40% while enhancing innovation and reducing risk.
LifeMOD automatically produces standard plots of force, displacement, velocities, accelerations,
torques, and angles. These powerful post-processing capabilities make creating clear, concise
reports and attention-grabbing presentations complete with animations, plots, and charts, a
simple task. Corporate management or other stakeholders can now truly grasp the ‘what, why,
how and when’ of a given product’s human interaction and subsequent evaluation.
Important Features: Easy to use, self-guiding interface and context-sensitive help
Anthropomorphic databases for automatic model creation
Inverse and forward dynamics
Life-like motion with 3D motion-capture import
Simple to complex muscle modeling
Automatic joint creation
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Powerful post-processing and reporting
References
1. Delp, S.L., J.P. Loan, M.G. Hoy, F.E. Zajac, E.L. Topp, and J.M. Rosen, An interactive
graphics-based model of the lower extremity to study orthopaedic surgical procedures.
IEEE Transactions on Biomedical Engineering, Vol. 37, pp. 757-767, 1990.
2. Delp, S.L. and J.P. Loan, A graphics-based software system to develop and analyze
models of musculoskeletal structures. Computers in Biology and Medicine, vol. 25, pp.
21-34, 1995.
3. Delp, S.L. and J.P. Loan, A computational framework for simulating and analyzing human
and animal movement. IEEE Computing in Science and Engineering, vol. 2, pp. 46-55,
2000.4. Delp, S.L., Anderson, F.C., Arnold, A. S., Loan, P., Habib, A., John, C., Thelen, D.G.
OpenSim: Open-source software to create and analyze dynamic simulations of
movement. IEEE Transactions on Biomedical Engineering, vol. 54, pp. 1940-1950,
5. http://www.musculographics.com/products/simm.html
6. http://www.lifemodeler.com/products/lifemod/