2010
DOI: 10.1016/j.cnsns.2008.09.002
View full text
|
|

Abstract: We introduce stochastic models of chemotaxis generalizing the deterministic Keller-Segel model. These models include fluctuations which are important in systems with small particle numbers or close to a critical point. Following Dean's approach, we derive the exact kinetic equation satisfied by the density distribution of cells. In the mean field limit where statistical correlations between cells are neglected, we recover the Keller-Segel model governing the smooth density field. We also consider hydrodynamic… Show more

Help me understand this page

Search citation statements

Order By: Relevance

Paper Sections

0
0
0
0
0

Citation Types

1
18
0

Publication Types

Select...

Relationship

0
0

Authors

Journals