A population-level model from the microscopic dynamics in Escherichia coli chemotaxis via Langevin approximation |
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| Authors: | He Zhuo-Ran Wu Tai-Lin Ouyang Qi Tu Yu-Hai |
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| Affiliation: | a State Key Laboratory for Mesoscopic Physics, School of Physics, Peking University, Beijing 100871, China;b Center for Theoretical Biology, Peking University, Beijing 100871, China;c IBM T. J. Watson Research Center, Yorktown Heights, New York 10598, USA |
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| 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. |
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| Keywords: | bacterial chemotaxis population-level model Langevin approximation |
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