Sarangam Majumdar, Subhoshmita Mondal
Quorum sensing is a cell-to-cell communication mechanism mediated by chemical signals known as autoinducers. Once the concentration of these molecules surpasses a certain threshold, bacteria transition into an active or quorum state. In this study, we propose a mathematical model for quorum sensing systems and analyze this biological phenomenon through numerical simulations. We employ various computational methods, including Runge-Kutta and finite element methods, to simulate the behavior of Pseudomonas aeruginosa in batch culture. Our findings reveal the presence of a negative diffusion coefficient, which significantly influences the quorum sensing process.