Abstract
In Systems Biology, the chemical master equation (CME) is often used to understand the effects of randomness that is generated by reactions involving biomolecular species with low copy-numbers. The CME is a system of ordinary differential equations (ODEs) describing the dynamics of the probability distribution of the underlying Markov chain. For many examples, the state-space of this Markov chain is infinite, and hence the CME cannot be directly solved. In such cases, approximate solutions of the CME can be found by truncating the state-space and using the Finite State Projection (FSP) algorithm, developed by Munsky and Khammash (Jour. Chem. Phys. 2006). The FSP is only applicable for finite time-periods and it cannot estimate the stationary solutions of CME which are often of interest in biological applications. In this paper we present a version of FSP which enables accurate estimation of the stationary CME solution. We illustrate our approach using a simple example.
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