Stochastic Representations for Jump processes in Biology with Applications to Numerical Methods

Thursday, May 16, 2013 - 11:30am - 12:20pm
Keller 3-180
David Anderson (University of Wisconsin, Madison)
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.
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