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Existence of global solutions of a macroscopic model of cellular motion in a chemotactic field

✍ Scribed by Mark Alber; Richard Gejji; Bogdan Kazmierczak

Book ID
104000718
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
368 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis

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.

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