From Individual to Collective Behavior in Bacterial Chemotaxis.

Journal article

Bacterial chemotaxis is widely studied from both the microscopic (cell) and macroscopic (population) points of view, and here we connect these very different levels of description by deriving the classical macroscopic description for chemotaxis from a microscopic model of the behavior of individual cells. The analysis is based on the velocity jump process for describing the motion of individuals such as bacteria, wherein each individual carries an internal state that evolves according to a sy...

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Authors: Erban, R; Othmer, H

• Publication status: Published
• Journal: SIAM Journal of Applied Mathematics
• Volume: 65
• Issue: 2
• Pages: 361-391
• Publication date: 2004-01-01
• DOI: 10.1137/S0036139903433232
• EISSN: 1095-712X
• ISSN: 0036-1399
• Language: English
• Keywords: transport equations; aggregation; chemotaxis equations; internal dynamics; bacterial chemotaxis; velocity-jump process