Article ID Journal Published Year Pages File Type
1709966 Applied Mathematics Letters 2009 4 Pages PDF
Abstract

Existence of global classical solutions of a class of reaction–diffusion systems with chemotactic terms is demonstrated. This class contains a system of equations derived recently as a continuous limit of the stochastic discrete cellular Potts model. This provides mathematical justification for using numerical solutions of this system for modeling cellular motion in a chemotactic field.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Authors
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