Multiphysics Simulations of the Process of Neuromuscular Activation

In this Master's thesis, we consider the problem of mathematical modelling and computer simulations neuromuscular activation. We describe biological biochemical processes that result in a muscle contraction. For each them, derive model, established literature. particular, consider: Hodgkin-Huxley model neural transmission; reaction-diffusion for process neurotransmitter release synaptic gap between nerve cell; an ODE system, based on chemical reaction schemes, proposed by Williams, calcium dynamics inside Hill’s generation force, triggered dynamics. study models numerically to illustrate behaviour solutions interpret them from point view. dynamics, also make qualitative analysis obtain original results asymptotic solutions. Further, propose framework coupling models, mentioned above, so can new integrated multiphysics whole process. Our initial motivation is future application approach diseases. Therefore, idea micro-scale studying their effect macro-scale action.