Mathematical modeling of the physiological process of muscle contraction

Abstract

The article considers improved mathematical models of the physiological process of muscle contraction based on the known hypotheses of the process of the human body musculoskeletal system functioning. A mathematical model of changing the force load of muscle tissue for the modes of isometric tetanus and contraction (elongation) of the muscle at a constant rate was developed according to the first phenomenological hypothesis of A. Hill. Based on A. Huxley's hypothesis, a mathematical model of muscle tissue force loading was developed, which depends on the distribution function of the number of transverse bridges.