Time evolution for a model of epidermis growth

DOI10.1007/S00028-013-0188-0zbMath1275.35143OpenAlexW2039662586WikidataQ60502186 ScholiaQ60502186MaRDI QIDQ370945

Mimmo Iannelli, Gabriela Marinoschi, Alberto Gandolfi

Publication date: 20 September 2013

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-013-0188-0

zbMATH Keywords

existence and uniquenessnonlocal conditionsintegration along characteristics

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Cell biology (92C37) Free boundary problems for PDEs (35R35) General biology and biomathematics (92B05) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for systems of nonlinear first-order PDEs (35F61)

Related Items (3)

The steady state of epidermis: mathematical modeling and numerical simulations ⋮ The force of cell-cell adhesion in determining the outcome in a nonlocal advection diffusion model of wound healing ⋮ The Basal Layer of the Epidermis: A Mathematical Model for Cell Production Under a Surface Density Constraint

Cites Work

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• A Free Boundary Problem with Unilateral Constraints Describing the Evolution of a Tumor Cord Under the Influence of Cell Killing Agents
• ON THE CLOSURE OF MASS BALANCE MODELS FOR TUMOR GROWTH
• Modelling solid tumour growth using the theory of mixtures

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