Journal
MULTISCALE MODELING & SIMULATION
Volume 15, Issue 2, Pages 797-826Publisher
SIAM PUBLICATIONS
DOI: 10.1137/16M1074011
Keywords
kinetic-transport equations; chemotaxis; asymptotic analysis; run and tumble; biochemical pathway
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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 quantitatively match with the agent-based model for all ranges of the spatial gradient, in particular when the chemical gradient is large such that the standard Keller-Segel model is no longer valid.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 gradient and large gradient environments.
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