Uncoupled Analysis of Stochastic Reaction Networks in Fluctuating Environments |
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Authors: | Christoph Zechner Heinz Koeppl |
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Affiliation: | 1.Department of Information Technology and Electrical Engineering, ETH Zurich, Zurich, Switzerland;2.Department of Electrical Engineering and Information Technology, Technische Universität Darmstadt, Darmstadt, Germany;University of Pittsburgh, United States of America |
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Abstract: | The dynamics of stochastic reaction networks within cells are inevitably modulated by factors considered extrinsic to the network such as, for instance, the fluctuations in ribosome copy numbers for a gene regulatory network. While several recent studies demonstrate the importance of accounting for such extrinsic components, the resulting models are typically hard to analyze. In this work we develop a general mathematical framework that allows to uncouple the network from its dynamic environment by incorporating only the environment''s effect onto the network into a new model. More technically, we show how such fluctuating extrinsic components (e.g., chemical species) can be marginalized in order to obtain this decoupled model. We derive its corresponding process- and master equations and show how stochastic simulations can be performed. Using several case studies, we demonstrate the significance of the approach. |
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