Title of article
Existence of global solutions of a macroscopic model of cellular motion in a chemotactic field
Author/Authors
Alber، نويسنده , , Mark and Gejji، نويسنده , , Richard and Kazmierczak، نويسنده , , Bogdan، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
4
From page
1645
To page
1648
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.
Keywords
Nonlinear diffusion , global existence , Continuous limit , Cellular motion , chemotaxis , Reaction–diffusion systems
Journal title
Applied Mathematics Letters
Serial Year
2009
Journal title
Applied Mathematics Letters
Record number
1526335
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