A new mathematical model is presented to describe both the active and passive mechanics of muscles. In order to account for the active response, a two–layer kinematics that introduces both the visible and rest lengths of the muscle is presented within a rational mechanics framework. The formulation is based on an extended version of the principle of virtual power and the dissipation principle. By using an ac- curate constitutive description of muscle mobility under activation, details of microscopic processes that lead to muscle contraction are glossed over while macroscopic effects of chemical/electrical stimuli on muscle mechanics are retained. The model predictions are tested with isometric and isotonic experimen- tal data collected from murine extensor digitorum muscle. It is shown that the proposed model captures experimental observations with only three scalar parameters.

Mathematical model for isometric and isotonic muscle contractions / De, Vita; R., Grange; Nardinocchi, P; Teresi, L.. - In: JOURNAL OF THEORETICAL BIOLOGY. - ISSN 0022-5193. - ELETTRONICO. - 425:(2017), pp. 1-10. [10.1016/j.jtbi.2017.05.007]

Mathematical model for isometric and isotonic muscle contractions

Nardinocchi P;
2017

Abstract

A new mathematical model is presented to describe both the active and passive mechanics of muscles. In order to account for the active response, a two–layer kinematics that introduces both the visible and rest lengths of the muscle is presented within a rational mechanics framework. The formulation is based on an extended version of the principle of virtual power and the dissipation principle. By using an ac- curate constitutive description of muscle mobility under activation, details of microscopic processes that lead to muscle contraction are glossed over while macroscopic effects of chemical/electrical stimuli on muscle mechanics are retained. The model predictions are tested with isometric and isotonic experimen- tal data collected from murine extensor digitorum muscle. It is shown that the proposed model captures experimental observations with only three scalar parameters.
2017
Continuum mechanics, Muscle modeling, Active strainIsometric contraction, Isotonic contraction
01 Pubblicazione su rivista::01a Articolo in rivista
Mathematical model for isometric and isotonic muscle contractions / De, Vita; R., Grange; Nardinocchi, P; Teresi, L.. - In: JOURNAL OF THEORETICAL BIOLOGY. - ISSN 0022-5193. - ELETTRONICO. - 425:(2017), pp. 1-10. [10.1016/j.jtbi.2017.05.007]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/954779
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