Pattern Formation in E. coli Through Negative Chemotaxis: Instability, Condensation, and Merging

Abstract

Motile bacteria can migrate along chemical gradients in a process known as chemotaxis. When exposed to uniform environmental stress, Escherichia coli cells coordinate their chemotactic responses to form millimeter-sized condensates containing hundreds of thousands of motile cells. In this study, we combined experiments with mathematical modeling based on a modified version of the Keller-Segel equations to investigate the dynamics of this collective behavior across three distinct time scales: the shortest time scale, at which spatial instability emerges; an intermediate time scale, in which a quasi-stationary bacterial condensate is formed; and finally, a longer time scale, during which neighboring bacterial accumulations coalesce. In particular, we found that the force between neighboring bacterial accumulations decays exponentially with distance due to screening effects. We suggest that the model presented here could describe more broadly the dynamics of stress-induced condensation mediated by bacterial chemotaxis.