I am an Associate Professor in the Department of Mathematics and Statistics at the University of Maryland at Baltimore County. My main research interests are stochastic modeling, analysis, and simulation to understand problems in life sciences.
One of my research interests is to develop efficient simulation algorithms or approximation methods to reduce the dimension of the systems, representing biochemical reaction networks or reaction-diffusion systems with uncertainty. Since the complex stochastic systems in biology involve species with abundances in a wide range and reactions that occur in different time scales, the multiscale property is used to reduce the systems and hence accelerate the simulation algorithm. My other research interests include modeling of biochemical systems where the mathematical models reflect interesting features of the systems. In these interdisciplinary works, it is important to find key questions and compare mathematical models to experimental data. Also, estimating unknown parameters in the mathematical models is another important issue.
Since I joined UMBC in 2013, I have been working on projects where we model enzyme kinetics in cancer or other metabolic-related diseases with a multiscale nature. The NSF research award has supported most of my recent work (DMS-1620403).