https://murray.cds.caltech.edu/index.php?action=history&feed=atom&title=Modeling_Environmental_Disturbances_with_the_Chemical_Master_Equation 2026-04-15T07:17:07Z Revision history for this page on the wiki MediaWiki 1.41.5 https://murray.cds.caltech.edu/index.php?title=Modeling_Environmental_Disturbances_with_the_Chemical_Master_Equation&diff=19711&oldid=prev 2016-05-15T06:15:24Z

<p>htdb2wiki: creating page for 2013b_ybm13-cdc.html</p> <p><b>New page</b></p><div>{{HTDB paper<br /> | authors = Enoch Yeung, James L. Beck, and Richard M. Murray<br /> | title = Modeling Environmental Disturbances with the Chemical Master Equation<br /> | source = Submitted, 2013 Conference on Decision and Control (CDC)<br /> | year = 2013<br /> | type = Conference Paper<br /> | funding = <br /> | url = http://www.cds.caltech.edu/~murray/preprints/ybm13-cdc_s.pdf<br /> | abstract = <br /> 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.<br /> | flags = <br /> | tag = ybm13-cdc<br /> | id = 2013b<br /> }}</div>

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