Math Biology Seminar: Sarafa Iyaniwura

A coupled PDE-ODE model used to describe communication between dynamically active signaling compartments (biological cells) is analyzed using strong localized perturbation theory. In the limit D >> 1, the coupled model is reduced into a nonlinear system of ODEs, which is then used to study global coupling and synchronous oscillations among the cells. In addition, this reduced system is used to study quorum sensing and phase synchronization among the cells.