Micro and Macro models for chemotaxis

Zhian Wang
IMA, University of Minnesota Twin Cities

(April 23, 2009 2:30 PM - 3:30 PM)

Micro and Macro models for chemotaxis

Abstract

This talk is focused on two questions of chemotaxis modeling. One is how to establish the communications between microscopic and macroscopic chemotaxis models. The other is how information in the microscopic model is passed to the macroscopic model. For the first question, I use a novel approach to derive the macroscopic limits and express the microscopic quantities in terms of macroscopic quantities with the preservation of energy law. For the second question, I investigate the traveling waves of both microscopic and macroscopic models from which we see how traveling waves in the microscopic model are retained, lost or created during the transition from the microscopic to macroscopic models. Biological implications will be discussed along the talk.