On a Structured Model for Load-Dependent Reaction Kinetics of Transient Elastic Linkages Mediating Nonlinear Friction

DOI10.1137/130947052zbMath1322.35141OpenAlexW410702649MaRDI QIDQ5264071

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Publication date: 20 July 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0182b81eff2d47f46cf5bb8d26f396b13040d26d

zbMATH Keywords

integro-differential equationsfixed pointrenewal equationcell adhesioneffect of chemical bondsfriction coefficientprotein linkagesVolterra kernelnonlinear strain-stress

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) A priori estimates in context of PDEs (35B45) Volterra integral equations (45D05)

Related Items (7)

Mathematical Models of the Interaction of Cells and Cell Aggregates with the Extracellular Matrix ⋮ From delayed and constrained minimizing movements to the harmonic map heat equation ⋮ Initial Layer Analysis for a Linkage Density in Cell Adhesion Mechanisms ⋮ Space dependent adhesion forces mediated by transient elastic linkages: new convergence and global existence results ⋮ A stochastic model for cell adhesion to the vascular wall ⋮ Asymptotic limits for a nonlinear integro-differential equation modelling leukocytes’ rolling on arterial walls ⋮ Friction mediated by transient elastic linkages: extension to loads of bounded variation

Cites Work

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