A mathematical model of heterogeneous behavior of single muscle fibres

DOI10.1007/BF00275723zbMath0595.92004WikidataQ52652485 ScholiaQ52652485MaRDI QIDQ1078111

Pierluigi Colli

Publication date: 1986

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessfixed point theorymyocardiumcharacteristicscontinuous dependence of the solutioncontraction of heterogeneous muscel fibrescross bridge kineticsintegration of first order hyperbolic equations alongintegration of first order hyperbolic equations along characteristicsskeletal musclesstriated muscles

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) First-order nonlinear hyperbolic equations (35L60) Biomechanical solid mechanics (74L15) Physiological, cellular and medical topics (92Cxx)

Related Items (7)

A mathematical study of a muscle contraction model in which the fibre is a continuum of elements ⋮ Numerical method for a model of inhomogeneous muscle fibers ⋮ A chemo-mechanical model for the single myofibril in striated muscle contraction ⋮ Mathematical models in muscle contraction: Parallelism in the numerical approach ⋮ A mathematical study of a continuum-state cross-bridge model of muscle contraction ⋮ A mathematical study of the plasticity effects in muscle contraction ⋮ A mathematical study of a muscle contraction model in wich the fibre is a continuum of elements

Cites Work

• Unnamed Item
• A four-state cross bridge model for muscle contraction. Mathematical study and validation
• Numerical methods for a model of cardiac muscle contraction
• Mathematical aspects of the cross-bridge mechanism in muscle contraction
• An Elementary Version of the Leray-Schauder Theorem
• A uniqueness result for a nonlinear hyperbolic equation

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