The impact of exclusion processes on angiogenesis models

DOI10.1007/s00285-018-1214-1zbMath1406.35160OpenAlexW2794335499WikidataQ64948662 ScholiaQ64948662MaRDI QIDQ1633936

Samara Pillay, Philip K. Maini, Helen M. Byrne

Publication date: 21 December 2018

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-018-1214-1

zbMATH Keywords

angiogenesischemotaxispartial differential equationscellular automatonmultiscale modelingvolume exclusion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Cell movement (chemotaxis, etc.) (92C17)

Related Items

Comparative analysis of continuum angiogenesis models ⋮ Unnamed Item ⋮ A current perspective on wound healing and tumour-induced angiogenesis

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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• The MATLAB ODE Suite
• An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds