Based on the framework of sliding-filament theory and on the cross-bridges dynamics, a mathematical model for the simulation of the force response and length change of individual myofibril is presented. The myofibril is modeled as a group of segments placed in series, each segment represents a half-sarcomere with active and elastic properties. A multiple-state cross-bridge formalism relates the half Sarcomere force to the chemical kinetics of ATP hydrolysis. The corresponding system of nonlinear nonlocal partial differential equations of the model is analyzed. A numerical approach is introduced and some numerical tests are performed. The proposed in-silico model enables the study of biologically relevant process in the muscle contraction process, also in the case of muscular diseases, with reasonable computational effort.

A chemo-mechanical model for the single myofibril in striated muscle contraction / G. Naldi. - In: MECCANICA. - ISSN 0025-6455. - (2017 May), pp. 1-13. [10.1007/s11012-017-0654-9]

A chemo-mechanical model for the single myofibril in striated muscle contraction

G. Naldi
2017

Abstract

Based on the framework of sliding-filament theory and on the cross-bridges dynamics, a mathematical model for the simulation of the force response and length change of individual myofibril is presented. The myofibril is modeled as a group of segments placed in series, each segment represents a half-sarcomere with active and elastic properties. A multiple-state cross-bridge formalism relates the half Sarcomere force to the chemical kinetics of ATP hydrolysis. The corresponding system of nonlinear nonlocal partial differential equations of the model is analyzed. A numerical approach is introduced and some numerical tests are performed. The proposed in-silico model enables the study of biologically relevant process in the muscle contraction process, also in the case of muscular diseases, with reasonable computational effort.
Multiscale chemo-mechanical model; Muscle contraction; Nonlinear nonlocal equations; Condensed Matter Physics; Mechanics of Materials; Mechanical Engineering
Settore MAT/08 - Analisi Numerica
Settore MAT/05 - Analisi Matematica
mag-2017
Centro di Ricerca Interdisciplinare su Modellistica Matematica, Analisi Statistica e Simulazione Computazionale per la Innovazione Scientifica e Tecnologica ADAMSS
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/499980
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