Bifurcation analysis of a self-organizing signaling system for eukaryotic chemotaxis

DOI10.1007/S13160-015-0185-5zbMath1339.92010OpenAlexW2206578288MaRDI QIDQ904582

Tatsuo Shibata, Naotoshi Nakamura

Publication date: 13 January 2016

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-015-0185-5

zbMATH Keywords

chemotaxisreaction-diffusion equationsself-organizationexcitable systemsbifurcation analysisinositol lipids

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) Numerical bifurcation problems (65P30) Cell movement (chemotaxis, etc.) (92C17) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Cites Work

• A model for intracellular actin waves explored by nonlinear local perturbation analysis
• Transient localized wave patterns and their application to migraine
• Lyapunov function and spectrum comparison for a reaction-diffusion system with mass conservation
• An efficient, nonlinear stability analysis for detecting pattern formation in reaction diffusion systems
• GHOSTS IN THE ORIGINS OF LIFE?

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