Travelling wave solutions of a parabolic-hyperbolic system for contact inhibition of cell-growth

DOI10.1017/S0956792515000042zbMath1383.92023OpenAlexW2315503359MaRDI QIDQ4594538

Masayasu Mimura, Hirofumi Izuhara, Tohru Wakasa, Danielle Hilhorst, Michiel Bertsch

Publication date: 24 November 2017

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792515000042

zbMATH Keywords

tumour growthtravelling wave solutionsFisher-KPP equationparabolic-hyperbolic systemcontact inhibition of cells

Mathematics Subject Classification ID

Cell biology (92C37) Traveling wave solutions (35C07)

Related Items

Travelling wave solutions of a parabolic-hyperbolic system for contact inhibition of cell-growth ⋮ Partially overlapping travelling waves in a parabolic-hyperbolic system ⋮ A Degenerate Cross-Diffusion System as the Inviscid Limit of a Nonlocal Tissue Growth Model ⋮ A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic Fisher-KPP equation ⋮ On a 2D model of avascular tumor with weak Allee effect

Cites Work

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• Modeling contact inhibition of growth: traveling waves
• Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development
• Justification for wavefront propagation in a tumour growth model with contact inhibition
• Wavefront propagation in a competition equation with a new motility term modelling contact inhibition between cell populations
• Travelling wave solutions of a parabolic-hyperbolic system for contact inhibition of cell-growth
• A free boundary problem arising in a simplified tumour growth model of contact inhibition