Model of Skeletal Muscular Contraction
Department of Electrical Engineering, Stanford University., 1973 - Muscle contraction - 164 pages
A model of skeletal muscular contraction is developed from a diverse group of previously published experimental results. The model attempts to describe the events which take place within a single sarcomere during contraction. Included in the model are a number of separate process models which are new. These include a model for calcium release and reabsorption by the longitudinal vesicles, a model for binding of calcium to troponin, a model for determining the active state from the amount of calcium bound to troponin, a model relating the active state to cross-bridge formation, a model for breakdown of cross-bridges, and a model relating the existing cross-bridges at any time to the active force they generate. The cross-bridges are referred to as the contractile component. The model is completed by a damping element and an elastic element in parallel with the contractile component and another elastic element in series. (Modified author abstract).
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EXPERIMENTS AND PREVIOUS MODELS
FORMULATION OF THE SINGLE SARCOMERE MODEL EQUATIONS
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0.6 TIME sec A. F. Huxley's model A. V. Hill actin filaments action potential active force active state curve afterload afterload contractions anticus muscle Attn behavior Bendall BREAKPOINTS bridge breakdown bridge formation bridge length calcium chosen constant cross-bridges damping element decrease elastic element Electronics equilibrium EXTERNAL DYNAMICS feedback model force-velocity curve formation length formed bridges frog frog sartorius function Hanscom Field Hence Hill's equation Huxley and Simmons ions isotonic twitches isovelocity loads Minardi muscle fiber muscle length myofibril myosin filaments myosin heads nonlinear damping optimal length parameters phase plane phase plane plots piecewise linear present model proportion of heads quick phase quick release rate of bridge real muscle relation rest length sarcolemma sarcomere length sarcoplasm sartorius muscle semitendinosus muscle shortening shown in Fig single sarcomere model skeletal muscle specified stretch SUBROUTINE tension curve tetanus tion troponin tubules versus vesicles Wilkie