Xuanqi Zhang, Guangwei Si, et al.
PNAS
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. © 2012 Chinese Physical Society and IOP Publishing Ltd.
Xuanqi Zhang, Guangwei Si, et al.
PNAS
Yuansheng Cao, Hongli Wang, et al.
Nature Physics
Xuejun Zhu, Guangwei Si, et al.
Physical Review Letters
Xuejun Zhu, Guangwei Si, et al.
Physical Review Letters