| Abstract [eng] |
In this work, a bacterial self-organization in a rounded container as detected by bioluminescence imaging is mathematically modelled. The pattern formation in a colony of luminous Escherichia coli is investigated in the whole container, on the top surface and the walls of the container and in pseudo-one dimension along the top three-phase contact line. The pattern formation is numerically simulated by the nonlinear reaction-advection-diffusion equations. Various model modifications are investigated in order to determine the most suitable for the modelling of a luminous E. coli colony. The impact of oxygen on pattern formation is investigated and a new model with the added equation describing oxygen dynamics is suggested. It is shown that this model becomes suitable for modelling pattern formation in a luminous E. coli colony in two and three dimensions of space in the case when a vessel with depth needs to be modelled. Moreover, model generalization to one, two and three dimensions is described and the investigation of pattern formation differences is carried out. It was determined that important changes in the patterns are observed when using models with the same parameter values in different dimensions. |
