Jinsu Kim (UC Irvine)
CRM-ISM Probability Seminar
Title: Stochastically modeled reaction networks
Abstract: A reaction network is a graphical configuration that can describe many biochemical systems with interactions between species (molecules). If the abundances of the species involved in a reaction network are small, then the randomness inherent in the molecular interactions is important to the system dynamics, and the abundances are modeled stochastically as a jump-by-jump fashion continuous-time Markov chain. In this talk, we begin with basic modeling aspects of the stochastic processes associated with a reaction network. Then we overview classical and recent issues in this literature, which include stability, mixing times, comparisons to deterministic modeling, martingale properties, and multi-scaling model reduction.
Link:
Meeting ID: 875 9669 4672
Passcode: problab