期刊
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
卷 24, 期 2, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202513400071
关键词
Chemotaxis; networks; coupling; conditions; numerics
In this work, we extend the one-dimensional Keller-Segel model for chemotaxis to general network topologies. We define appropriate coupling conditions ensuring the conservation of mass and show the existence and uniqueness of the solution. For our computational studies, we use a positive preserving first-order scheme satisfying a network CFL condition. Finally, we numerically validate the Keller-Segel network model and present results regarding special network geometries.
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