I have been an Assistant Professor in the Department of Mathematics and Statistics at the University of Maryland at Baltimore County since the fall of 2013. My main research interests are modeling, analysis, and simulation of biochemical processes using mathematical tools such as differential equations and stochastic processes. Biochemical processes are, in general, complex systems, and it is almost impossible to analyze the whole system using an exact solution. Moreover, numerical simulation of the processes is computationally expensive.
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 in biology or biochemistry and compare mathematical models to experimental data. Also, estimating unknown parameters in the mathematical models is another important issue.
Since I joined UMBC, I have been working on projects in melanopsin phototransduction, circadian rhythms, enzyme kinetics with the multiscale property, glucose metabolism, and cell polarization. The NSF research fund has supported most of my recent work (DMS-1620403).