Abstract
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 (PE i ) and a contractile element (CE i ) 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.
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This work has been supported by Ministero Pubblica Istruzione (fondi per la ricerca scientifica) and by Istituto di Analisi Numerica del C.N.R., Pavia
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Colli, P. A mathematical model of heterogeneous behavior of single muscle fibres. J. Math. Biology 24, 103–118 (1986). https://doi.org/10.1007/BF00275723
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DOI: https://doi.org/10.1007/BF00275723