A mathematical model of heterogeneous behavior of single muscle fibres.

A mathematical model of contracting muscle fibre is studied. The model is composed of an array of segments placed in series; any segment has an elastic element (PEi) and a contractile element (CEi) that describes the cross bridge kinetics. The corresponding system of nonlinear partial differential equations of the model is analyzed. Existence, uniqueness and continuous dependence of the solution are proven.