Stochastic modeling of growth processes of bacteria colony and simulation studies

In the various fields of engineering including fluid, chemical, and biological engineering, we will observe many kinds of spatio-temporal patterns. For example, in the Belouzov-Zhabotinsky reaction, a target and a spiral ones are observed, which denote spatio-temporal oscillation of concentration of chemical substances. The analyses of such patterns are important problems of engineering. Up to date, excellent works in analyses of pattern formations have been performed, however, models in such analyses were considered in a deterministic framework. So, we cannot analyze influence of disturbances such as impurities in chemical substances and unexpected change of environmental situations on pattern formations using such deterministic models. In this paper, focusing our attention on the bacteria colony patterns and taking disturbances into consideration, we will propose the stochastic model of the growth processes of bacteria called Bacillus subtilis and study influence of disturbances on created bacteria patterns through simulation experiments.