Stochastic Representations for Jump processes in Biology with Applications to Numerical Methods
Thursday, May 16, 2013 - 11:30am - 12:20pm
The simplest stochastic models of biochemical processes 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 develop the relevant mathematical representations for the processes and then show how different computational methods can be developed and analyzed by utilizing the stochastic representations. Topics discussed will be a subset of: model development, approximation techniques, and variance reduction for Monte Carlo methods.