Modern biotechnology makes it possible to measure variations of crucial indicators of living cells in real time. These indicators include the difference of electrical potential across cellular membranes and the concentration of calcium ions in the intracellular space. These measurements have revealed amazingly complex dynamic patterns. These patterns include oscillations, waves, and stationary spatial structures that are highly nonlinear and are essential for the normal functioning of a cell. Mathematical models have been shown an important tool in explaining and understanding these dynamical phenomena. Dr. Li’s research is to develop and analyse mathematical models of these phenomena based on experimentally established mechanisms.