Passive viscoelastic response of striated muscles

Fabio Staniscia; Lev Truskinovsky

doi:10.1039/d1sm01527c

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arXiv · 1906.08603

Passive viscoelastic response of striated muscles

Fabio Staniscia·Lev Truskinovsky

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Abstract

Muscle cells with sarcomeric structure exhibit highly nontrivial passive mechanical response. The difficulty of its continuum modeling is due to the presence of long-range interactions transmitted by extended protein skeleton. To build a rheological model for muscle 'material' we use a stochastic micromodel and derive a linear response theory for a half-sarcomere. Instead of the first order rheological equation, anticipated by A.V. Hill on the phenomenological grounds, we obtain a novel second order equation. We use the values of the microscopic parameters for frog muscles to show that the proposed rheological model is in excellent quantitative agreement with physiological experiments.

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Fabio Staniscia, Lev Truskinovsky. 2019-06-20. Passive viscoelastic response of striated muscles. https://doi.org/10.1039/d1sm01527c

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