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

作者：He Zhuo Ran; Wu Tai Lin; Ouyang Qi^*; Tu Yu Hai

来源：Chinese Physics B, 2012, 21(9): 098701.

DOI：10.1088/1674-1056/21/9/098701

• bacterial chemotaxis
• population-level model
• Langevin approximation

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.

• 出版日期2012-9
• 单位北京大学; IBM