Applied Mathematics Colloquium

Abstract: A biochemical reaction network, involving multiple chemical reactions and molecular species, often exhibits certain randomness in their behavior. The talk will focus on modeling these networks by appropriate stochastic differential equations. We will discuss various algorithms which can be used to simulate these networks and also some aspects of relevant error analyses. If time permits, I will also discuss a Markov chain aggregation method for modeling reactions with several protein-protein interactions, where a usual species-based description is quite inefficient.