On a nonlinear and nonlocal evolution equation related to muscle contraction

DOI10.1016/0362-546X(89)90003-5zbMath0685.45010OpenAlexW2068696683MaRDI QIDQ4735611

Pierluigi Colli

Publication date: 1989

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(89)90003-5

zbMATH Keywords

contraction mapping principleexistenceuniquenessasymptotic behaviourmuscle contractionnonlinear and nonlocal evolution equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Asymptotics of solutions to integral equations (45M05) Physiological, cellular and medical topics (92Cxx)

Related Items (max. 100)

Solutions to muscle fiber equations and their long time behaviour ⋮ Mathematical models in muscle contraction: Parallelism in the numerical approach ⋮ Nonlinear nonlocal differential equations related to muscle contraction mechanism ⋮ A mathematical study of the plasticity effects in muscle contraction ⋮ A nonlinear nonlocal transport system related to the cross-bridge mechanism of muscle contraction

Cites Work

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• A four-state cross bridge model for muscle contraction. Mathematical study and validation
• A mathematical study of a muscle contraction model in which the fibre is a continuum of elements
• Mathematical aspects of the cross-bridge mechanism in muscle contraction
• A nonlinear and nonlocal evolution equation describing the muscle contraction
• A uniqueness result for a nonlinear hyperbolic equation

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