Remarks on a population-level model of chemotaxis: advection-diffusion approximation and simulations

TL;DR

This paper develops an advection-diffusion model for E. coli chemotaxis in one dimension, demonstrating through simulations that it accurately predicts population density under shallow-gradient conditions.

Contribution

It introduces an advection-diffusion approximation for bacterial chemotaxis and validates its accuracy with simulations in a specific regime.

Findings

High-quality predictions in shallow-gradient regimes

Effective approximation of bacterial density dynamics

Simulation results support the model's validity

Abstract

This note works out an advection-diffusion approximation to the density of a population of E. coli bacteria undergoing chemotaxis in a one-dimensional space. Simulations show the high quality of predictions under a shallow-gradient regime.