2020/05/31 by Jeungeun Park, Zahra Aminzare, Park, Jeungeun +1
Engineering · Physics and Astronomy · #35Q92 #58J55 #60J75 #92B05 #92C17 #92D25 #Analysis of PDEs (math.AP) #Cell Behavior (q-bio.CB) #FOS: Biological sciences #FOS: Mathematics #Innovative Microfluidic and Catalytic Techniques Innovation #Micro and Nano Robotics #Molecular Communication and Nanonetworks #Quantitative Methods (q-bio.QM)
paper · pdf · doi:10.48550/arxiv.2006.00688
openalex publication_date 2020/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Bacteria are often exposed to multiple stimuli in complex environments, and\ntheir efficient chemotactic decisions are critical to survive and grow in their\nnative environments. Bacterial responses to the environmental stimuli depend on\nthe ratio of their corresponding chemoreceptors. By incorporating the signaling\nmachinery of individual cells, we analyze the collective motion of a population\nof Escherichia coli bacteria in response to two stimuli, mainly serine and\nmethyl-aspartate (MeAsp), in a one-dimensional and a two-dimensional\nenvironment, which is inspired by experimental results in Y. Kalinin et al., J.\nBacteriol. 192(7):1796-1800, 2010. Under suitable conditions, we show that if\nthe ratio of the main chemoreceptors of individual cells, namely Tar/Tsr is\nless than a specific threshold, the bacteria move to the gradient of serine,\nand if the ratio is greater than the threshold, the group of bacteria move\ntoward the gradient of MeAsp. Finally, we examine the theory with Monte-Carlo\nagent-based simulations, and verify that our results qualitatively agree well\nwith the experimental results in Y. Kalinin et al. (2010).\n