Numerical simulation of capillary formation during the onset of tumor angiogenesis
Michael W. Smiley Howard A. Levine Marit Nilsen Hamilton
Conference Publications 2003, 2003(Special): 817-826 doi: 10.3934/proc.2003.2003.817
A recently proposed mathematical model for turor angiogenesis consists of a coupled system of ordinary and partial differential equations, some of which are strongly convection dominated diffusion equations. A numerical method based on the use of characterics, which is mass conserving, can be used to effectively handle this feature. The model and the numerical method are presented.
keywords: convection-dominated diffusion conservative characteristic method. angiogenesis chemotaxis

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