Department of Mathematics
University of California, Riverside
Dr. Gou's research interests are in the areas of mathematical biology and applications of dynamical systems. Her recent research focuses on understanding the growth control mechanisms by constructing and investigating models that describe cell signaling pathways and transport of molecules in tissues. She is also interested in analyzing mathematical models of spatial and temporal phenomena in biology, using techniques such as asymptotics and perturbation methods, and numerical simulations. One such model is related to a system of spatially segregated signaling cells coupled through a passive bulk diffusion field. Theoretical investigation reveals that such coupling is a robust mechanism for the initiation of synchronized oscillatory dynamics in the segregated cells. Quorum sensing phenomenon, collective behavior of cells in response to changes in their population size, is also observed in such system.