A mathematical study of a muscle contraction model in which the fibre is a continuum of elements

DOI10.1016/0196-8858(88)90010-3zbMath0721.92006OpenAlexW1977837491MaRDI QIDQ2641241

Pierluigi Colli, Geneviève Allain

Publication date: 1988

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(88)90010-3

zbMATH Keywords

existenceuniquenesssliding-filament theory of muscle contractionnonlocal hyperbolic equationcontinuum of elastic and contractile elements

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biomechanics (92C10) Physiology (general) (92C30) Biomechanical solid mechanics (74L15)

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Mathematical models in muscle contraction: Parallelism in the numerical approach ⋮ A mathematical study of the plasticity effects in muscle contraction ⋮ On a nonlinear and nonlocal evolution equation related to muscle contraction

Cites Work

• A four-state cross bridge model for muscle contraction. Mathematical study and validation
• Numerical methods for a model of cardiac muscle contraction
• A mathematical model of heterogeneous behavior of single muscle fibres
• A sliding-filament cross-bridge ensemble model of muscle contraction for mechanical transients
• A Mathematical Model of Contracting Muscle with Viscoelastic Elements
• Mathematical aspects of the cross-bridge mechanism in muscle contraction
• A nonlinear and nonlocal evolution equation describing the muscle contraction
• A mathematical study of a continuum-state cross-bridge model of muscle contraction
• A uniqueness result for a nonlinear hyperbolic equation
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