2D reaction-diffusion model of quorum sensing characteristics during all phases of bacterial growth

The paper is devoted to the development of a 2D reaction-diffusion model of the bacterial communication process due to the quorum sensing observed during all bacterial growth phases. The mathematical model is presented by an initial-boundary value problem for a system of semilinear partial differential equations modified in view of the multiphase character of population dynamics. The model is implemented by the finite element method using the COMSOL Multiphysics platform. The results of simulations of chemical compounds characterizing quorum sensing are presented on an example of the bacterial species of Pseudomonas putida under variation of parameters of mortality intensity.