##### Department of Mathematics,

University of California San Diego

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### Math 218 - Seminar on Mathematics for Complex Biological Systems

## Xu Yang

#### Department of Mathematics, UC Santa Barbara

## Mean-field models for chemotaxis

##### Abstract:

This talk will focus on my works on mean-field models for chemotaxis based on kinetic theory, including pathway based mean-field models, augmented Keller-Segel model for E. coli chemotaxis, and an asymmetric model for biological aggregation. I will give mathematical derivation of the mean-field models by taking some proper moment closure of kinetic biological systems. Building biological mechanism in the models are essential to capture some interesting swarming phenomena, for example, phase-delayed traveling wave (memory effect) and soliton solution (asymmetric sensing). Connections to the chemotaxis model proposed in [G. Si, T. Wu, Q. Quyang and Y. Tu, Phys. Rev. Lett., 109 (2012), 048101] will be also discussed.

Hosts: Li-Tien Cheng, Bo Li, and Ruth Williams

### March 15, 2018

### 2:00 PM

### AP&M 5829

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