# Parameter estimation of kinetic rates in stochastic reaction
networks by the em method

**A. Horváth and D. Manini.**

### Abstract:

Gillespie's algorithm serves to simulate a network of stochastic reactions
with given initial quantities and kinetic rate constants. In this paper we
consider the estimation of the kinetic rate constants of the reactions
based on a set of discrete observations generated by Gillespie's algorithm.
In particular, we present an Expectation Maximisation (EM) method to
perform maximum likelihood estimation of the rate constants. Applicability
of the method is tested on a simple reaction network.

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*András Horváth, 2008-06-25*