Computational methods for the stochastic models of biochemical systems
The simplest stochastic models of biochemical systems treat the system as a continuous time Markov chain with the state being the number of molecules of each species and with reactions modeled as possible transitions of the chain. I will briefly develop the relevant mathematical representation for these models, which I will then utilize to develop different computational methods -- both exact and biased. I will particularly focus on the new multi-level Monte Carlo method for the efficient approximation of expectations.
