A Mathematical Description of Bacterial Chemotaxis in Response to Two Stimuli

Jeungeun Park; Zahra Aminzare

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A Mathematical Description of Bacterial Chemotaxis in Response to Two Stimuli

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A Mathematical Description of Bacterial Chemotaxis in Response to Two Stimuli

Jeungeun Park and Zahra Aminzare

ArXiv.org

06/01/2020

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https://arxiv.org/abs/2006.00688View

Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

Bacteria are often exposed to multiple stimuli in complex environments, and their efficient chemotactic decisions are critical to survive and grow in their native environments. Bacterial responses to the environmental stimuli depend on the ratio of their corresponding chemoreceptors. By incorporating the signaling machinery of individual cells, we analyze the collective motion of a population of {\em Escherichia coli} bacteria in response to two stimuli, mainly serine and methyl-asparate (MeAsp), in a one-dimensional and a two-dimensional environment. Under suitable conditions, we show that if the ratio of the main chemoreceptors of individual cells, namely Tar/Tsr is less than a specific threshold, the bacteria move to the gradient of serine, and if the ratio is greater than the threshold, the group of bacteria move toward the gradient of MeAsp. Finally, we examine our theory with Monte-Carlo agent-based simulations.

Details

Title: Subtitle: A Mathematical Description of Bacterial Chemotaxis in Response to Two Stimuli
Creators: Jeungeun Park
Zahra Aminzare
Resource Type: Preprint
Publication Details: ArXiv.org
ISSN: 2331-8422
Language: English
Date posted: 06/01/2020
Academic Unit: Mathematics; Iowa Neuroscience Institute
Record Identifier: 9984065776702771

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