Biological systems are featured with complex interactions among components. Researchers in biology disciplines employ various methodologies to investigate the system of interest. However, research often results in incomplete pictures of biological systems due to limitations of designed experiments: they often provide static, and usually qualitative, relationships between pre-selected components. Recently, advances in real-time measurement techniques (such as real time fluorescence microscopy) empower researchers to investigate real-time dynamic behaviors of systems in molecular scales. Still, these new techniques are suffered from various limitations such as low throughput and limited number of measurable outputs. In order to investigate temporal evolution of systems based on limited experimental data, mathematical models are employed to build a complete network that can describe system dynamics. These models could be used to study interactions among system components, which are not measured in experiments, and can provide new insights about systems.
Current research focus is multi-scale modeling of biological processes, particularly those related to immunology, through integration of single-cell experiments and numerical approaches. First, we are developing a single-cell stochastic model to describe intracelluar transduction pathways. Second, we are also developing mathematical models to describe multivalent interactions between proteins and glycans on lipid membranes that precede before initiation of most of intracellular signaling pathways.
D. Lee, Y. Ding, A. Jayaraman, J. S. Kwon, “Mathematical modeling and parameter estimation of intracellular signaling pathway: application to LPS-induced NFκB activation and TNFα production in macrophages,” Processes, 2018, 6(3), 21 (Feature Paper) DOI: 10.3390/pr6030021
D. Lee, A. Mohr, J. S. Kwon, and H. J. Wu, “Kinetic Monte Carlo modeling of multivalent binding of CTB proteins with GM1 receptors,” Comp. & Chem. Eng.,2018, 118, 283-295. DOI: 10.1016/j.compchemeng.2018.08.011