Workshop on Systems Biology, Tue, 06 Nov, 2007
Speaker: Markus Hegland
Abstract
Gene regulatory processes are characterised by biochemical reactions involving proteins, DNA, RNA and various other components. A characteristic property of these reactions are that they involve a large number of different molecules but only a small number of copies of any one species. The processes are also stochastic and have in the past been successfully simulated using Markov models.
Here we will discuss the Master equations governing the probability distributions describing the underlying stochastic processes and will present numerical methods
for the solution of the Master equations. A particular challenge to the numerical solution is the curse of dimensionality. We will discuss how we address this curse with sparse grid approximations and will also consider the case where the reactions are modelled by renewal processes instead of the usual Poisson processes. We will in particular discuss the case of a simple cascade model
involving 100 different protein species
URL: www.ricam.oeaw.ac.at/specsem/ssqbm/participants/abstracts/index.php
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