Stability and model reduction of biochemical reaction networks
The first part of this project aims to analyze stability of mass action chemical reaction network models using Lyapunov methods. Specific examples of models being analyzed are those of multisite phosphorylation networks that play a vital role in intracellular signaling and cell cycle control. The second part of this project aims to develop efficient methods to reduce or approximate complex kinetic models of biochemical reaction networks governed by a variety of enzyme kinetic rate laws. The reduction needs to be done in such a way as to retain the original kinetics and to preserve key properties of the original model.