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Propagation of Fluctuations in Biochemical Systems, I: Linear SSC Networks

David Anderson·Jonathan Mattingly·H. Frederik Nijhout·Michael Reed
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Abstract

We investigate the propagation of random fluctuations through biochemical networks in which the concentrations of species are large enough so that the unperturbed problem is well-described by ordinary differential equation. We characterize the behavior of variance as fluctuations propagate down chains, study the effect of side chains and feedback loops, and investigate the asymptotic behavior as one rate constant gets large. We also describe how the ideas can be applied to the study of methionine metabolism.

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David Anderson, Jonathan Mattingly, H. Frederik Nijhout, Michael Reed. 2005-10-29. Propagation of Fluctuations in Biochemical Systems, I: Linear SSC Networks. https://arxiv.org/abs/math/0510642

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