Kinetic and Related Macroscopic Models for Chemotaxis on Networks

Kinetic and Related Macroscopic Models for Chemotaxis on Networks
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ISBN: 9783745099799
Autor: Thi Ngoc Ha Pham
Seitenzahl: 128
Einband/Bindung: Taschenbuch
Sprache: Englisch
Erscheinungsjahr: 2017
Verlag: Epubli
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Beschreibung
This thesis considers kinetic and associated macroscopic models for chemotaxis on networks. By scaling and then applying moment-closure methods (including linear and nonlinear full- and half-moment methods) to the kinetic equations, we obtain full- and half-moment macroscopic models for chemotaxis as well as their drift-diffusion limit (Keller-Segel equations). Coupling conditions at the internal nodes of the network for the kinetic equations are presented and used to derive coupling conditions for the macroscopic approximations. The results of the different models are compared and relations to a Keller-Segel model on networks are discussed. For numerical approximations of the governing equations, asymptotic preserving schemes and central schemes are extended to directed graphs. Kinetic and macroscopic equations are investigated numerically and their solutions are compared for linear, tripod and more general networks.
Artikel-Nr.: 9783745099799
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