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Special Semester on Quantitative Biology analyzed by Mathematical Methods
Linz, October 1, 2007 - January 27, 2008
Stochastic particle approximation to the global measure valued solutions of the Keller-Segel model in 2D

Workshop on Biomechanics and Chemotaxis, Tue, 11 Dec, 2007

Speaker: Jan Haskovec

Abstract

We construct an approximation to the measure valued, global in time solutions to the Keller-Segel model in 2D. The advantage of our approach is that it captures the solution even after the blow-up event. We present a numerical method based on this approach and discuss the questions concerning its convergence.

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