Proliferation of cells with aggregation and communication

DOI10.1016/j.mbs.2018.01.007zbMath1392.92015OpenAlexW2790302372WikidataQ47553039 ScholiaQ47553039MaRDI QIDQ1644694

Vladimir P. Zhdanov

Publication date: 22 June 2018

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2018.01.007

zbMATH Keywords

aggregationcommunicationMonte Carlo simulationsfront propagationproliferation

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

• Travelling wave analysis of a mathematical model of glioblastoma growth
• Impulse output feedback stabilization of Fisher's equation
• Fisher-KPP with time dependent diffusion is able to model cell-sheet activated and inhibited wound closure
• Existence, uniqueness and asymptotic behavior of traveling wave fronts for a generalized Fisher equation with nonlocal delay
• Existence of traveling waves for the generalized F-KPP equation
• The Fisher-KPP problem with doubly nonlinear ``fast diffusion
• Global solutions to a nonlocal Fisher-KPP type problem
• How far does small chemotactic interaction perturb the Fisher-KPP dynamics?
• The Fisher-KPP problem with doubly nonlinear diffusion
• Convergence to travelling waves in Fisher's population genetics model with a non-Lipschitzian reaction term
• Non-cooperative Fisher–KPP systems: traveling waves and long-time behavior
• Exact solution and precise asymptotics of a Fisher–KPP type front
• Existence of an extinction wave in the Fisher equation with a shifting habitat
• Traveling wavefront solutions to nonlinear reaction-diffusion-convection equations

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