A mathematical model of heterogeneous behavior of single muscle fibres
In striated muscles, as in myocardium and skeletal muscles, a combination of passive elastic elements and active force-generating contractile elements explains many of the mechanical phenomena exhibited by these muscles. The aim of the paper is to study mathematically a model simulating the contraction of heterogeneous muscel fibres. It is assumed that the muscle segments act in series. The author reduces the problem to integro- differential equations by integration of first order hyperbolic equations along characteristics. Furthermore existence, uniqueness and continuous dependence of the solution are proven.
contraction of heterogeneous muscel fibres
integration of first order hyperbolic equations along
integration of first order hyperbolic equations along characteristics
scientific article; zbMATH DE number 3959181