Math @ Duke

Publications [#52331] of David F. Anderson
Papers Accepted
 David F. Anderson, Jonathan C. Mattingly, H. Frederik Nijhout, Michael Reed, Propagation of Fluctuations in Biochemical Systems, I: Linear SSC Networks,
Bulletin of Mathematical Biology
(2006) [math.PR/0510642]
(last updated on 2006/12/27)
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 welldescribed 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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