Existence of global solutions of a macroscopic model of cellular motion in a chemotactic field
نویسندگان
چکیده
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. © 2009 Elsevier Ltd. All rights reserved.
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عنوان ژورنال:
- Appl. Math. Lett.
دوره 22 شماره
صفحات -
تاریخ انتشار 2009