Abstract
It is well known that a self-organization plays an important role in various fields of engineering. The self-organization can create many kinds of spatio-temporal patterns such as spiral and target patterns in the BZ(Belousov-Zhabotinsky) reaction and a phase separation pattern in a high-polymer substance. In this paper, we focus attention on bacterial colony patterns among many spatio-temporal patterns created by the self-organization and study a mathematical modeling of the bacterial colony formation with chemotaxis such as Salmonella typhimurium (S. typhimurium) and Escherichia coli (E. coli). Since we cannot analyze the bacterial colony formation under the existence of fluctuations in the concentration of chemical substances and the population density of bacteria by the conventional deterministic model, we propose a stochastic model of chemotactic bacterial colony formations and study the influence of fluctuations on the bacterial colony formations by numerical simulations.
