2016/05/05 by Weiran Sun, Min Tang, Sun, Weiran +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #35B25 #82C40 #92C17 #Analysis of PDEs (math.AP) #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Microtubule and mitosis dynamics #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1605.01484
openalex publication_date 2016/05/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
It is of great biological interest to understand the molecular origins of chemotactic behavior of E. coli by developing population-level models based on the underlying signaling pathway dynamics. We derive macroscopic models for E.coli chemotaxis that match quantitatively with the agent-based model (SPECS) for all ranges of the spacial gradient, in particular when the chemical gradient is large such that the standard Keller-Segel model is no longer valid. These equations are derived both formally and rigorously as asymptotic limits for pathway-based kinetic equations. We also present numerical results that show good agreement between the macroscopic models and SPECS. Our work provides an answer to the question of how to determine the population-level diffusion coefficient and drift velocity from the molecular mechanisms of chemotaxis, for both shallow gradients and large gradients environments.