Modeling contact inhibition of growth: traveling waves

DOI10.3934/nhm.2013.8.131zbMath1302.35461OpenAlexW2014674469MaRDI QIDQ1953024

Tohru Wakasa, Masayasu Mimura, Michiel Bertsch

Publication date: 7 June 2013

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2013.8.131

zbMATH Keywords

traveling wave solutionsfree boundarytumor growth modeldegenerate parabolic PDEpopulation dynamics of cells

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Free boundary problems for PDEs (35R35) Cell movement (chemotaxis, etc.) (92C17)

Related Items (8)

Continuous models for cell-cell adhesion ⋮ Travelling wave solutions of a parabolic-hyperbolic system for contact inhibition of cell-growth ⋮ Partially overlapping travelling waves in a parabolic-hyperbolic system ⋮ From individual-based mechanical models of multicellular systems to free-boundary problems ⋮ Existence and multiplicity of segregated solutions to a cell-growth contact inhibition problem ⋮ Stability of patterns and of constant steady states for a cross-diffusion system ⋮ A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic Fisher-KPP equation ⋮ A competition system with nonlinear cross-diffusion: exact periodic patterns

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