A population-level model from the microscopic dynamics in Escherichia coli chemotaxis via Langevin approximation

doi:10.1088/1674-1056/21/9/098701

Abstract Recent extensive studies of Escherichia coli (E. coli) chemotaxis have achieved a deep understanding of its microscopic control dynamics. As a result, various quantitatively predictive models have been developed to describe the chemotactic behavior of E. coli motion. However, a population-level partial differential equation (PDE) that rationally incorporates such microscopic dynamics is still insufficient. Apart from the traditional Keller-Segel (K-S) equation, many existing population-level models developed from the microscopic dynamics are integro-PDEs. The difficulty comes mainly from cell tumbles which yield a velocity jumping process. Here, we propose a Langevin approximation method that avoids such a difficulty without appreciable loss of precision. The resulting model not only quantitatively reproduces the results of pathway-based single-cell simulators, but also provides new inside information on the mechanism of E. coli chemotaxis. Our study demonstrates a possible alternative in establishing a simple population-level model that allows for the complex microscopic mechanisms in bacterial chemotaxis.

Keywords: bacterial chemotaxis population-level model Langevin approximation

Received: 06 April 2012
Revised: 10 May 2012
Accepted manuscript online:

PACS:	87.17.Jj	(Cell locomotion, chemotaxis)
	87.17.Aa	(Modeling, computer simulation of cell processes)
	87.18.Mp	(Signal transduction networks)
	87.18.Vf	(Systems biology)

Corresponding Authors: Ouyang Qi
E-mail: qi@pku.edu.cn

Cite this article:

He Zhuo-Ran (贺卓然), Wu Tai-Lin (吴泰霖), Ouyang Qi (欧阳颀), Tu Yu-Hai (涂豫海) A population-level model from the microscopic dynamics in Escherichia coli chemotaxis via Langevin approximation 2012 Chin. Phys. B 21 098701

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A population-level model from the microscopic dynamics in Escherichia coli chemotaxis via Langevin approximation

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