Modeling Environmental Disturbances with the Chemical Master Equation

Enoch Yeung, James L. Beck, and Richard M. Murray
Submitted, 2013 Conference on Decision and Control (CDC)

In this paper we consider the problem of repre- senting a biological system and its environment using a stochas- tic modeling framework. We first introduce a decomposition of the global chemical reaction system into two systems: a system of interest and its environment. We then present and derive a decomposition of the chemical master equation to achieve a representation describing the dynamics of the system of inter- est, perturbed by an environmental disturbance. We use this decomposition to model examples of two types of environmental disturbances: the disturbance a system experiences through loading effects from limited resources and the disturbance a system experiences when perturbed by an antibiotic that modifies transcription or translation rates.

• Conference Paper: http://www.cds.caltech.edu/~murray/preprints/ybm13-cdc s.pdf
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