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Modeling Environmental Disturbances with the Chemical Master Equation
Abstract In this paper we consider the problem of r …
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.
difies transcription or translation rates.  +
Authors Enoch Yeung, James L. Beck, and Richard M. Murray  +
ID 2013b  +
Source Submitted, 2013 Conference on Decision and Control (CDC)  +
Tag ybm13-cdc  +
Title Modeling Environmental Disturbances with the Chemical Master Equation +
Type Conference Paper  +
Categories Papers
Modification date
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15 May 2016 06:15:24  +
URL
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http://www.cds.caltech.edu/~murray/preprints/ybm13-cdc_s.pdf  +
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Modeling Environmental Disturbances with the Chemical Master Equation + Title
 

 

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