Nonlinear nonlocal differential equations related to muscle contraction mechanism

DOI10.1016/S0362-546X(96)00328-8zbMath0904.92008OpenAlexW2092124974MaRDI QIDQ4374290

Toshiyuki Yamaguchi, Nobuyuki Kato

Publication date: 24 January 1999

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

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00328-8

zbMATH Keywords

existenceuniquenessboundednessmuscle contractionHuxley sliding filament theory

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biomechanics (92C10)

Related Items (1)

A nonlinear nonlocal transport system related to the cross-bridge mechanism of muscle contraction

Cites Work

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• Mathematical study of a nonlinear transport-diffusion problem related to muscle contraction
• Parabolic perturbation of a nonlinear hyperbolic problem arising in physiology
• On the closedness of the sum of two closed operators
• Nonlinear nonlocal transport-diffusion equations arising in physiology
• A Mathematical Model of Contracting Muscle with Viscoelastic Elements
• Mathematical aspects of the cross-bridge mechanism in muscle contraction
• On a nonlinear and nonlocal evolution equation related to muscle contraction

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