Propagation of Fluctuations in Biochemical Systems, II: Nonlinear Chains
Repository Usage Stats
118
views
views
135
downloads
downloads
Abstract
We consider biochemical reaction chains and investigate how random external fluctuations,
as characterized by variance and coefficient of variation, propagate down the chains.
We perform such a study under the assumption that the number of molecules is high
enough so that the behavior of the concentrations of the system is well approximated
by differential equations. We conclude that the variances and coefficients of variation
of the fluxes will decrease as one moves down the chain and, through an example, show
that there is no corresponding result for the variances of the chemical species. We
also prove that the fluctuations of the fluxes as characterized by their time averages
decrease down reaction chains. The results presented give insight into how biochemical
reaction systems are buffered against external perturbations solely by their underlying
graphical structure and point out the benefits of studying the out-of-equilibrium
dynamics of systems.
Type
Journal articlePermalink
https://hdl.handle.net/10161/11278Collections
More Info
Show full item recordScholars@Duke
Jonathan Christopher Mattingly
Kimberly J. Jenkins Distinguished University Professor of New Technologies
Jonathan Christopher Mattingly grew up in Charlotte, NC where he attended Irwin Ave
elementary and Charlotte Country Day. He graduated from the NC School of Science
and Mathematics and received a BS is Applied Mathematics with a concentration in physics
from Yale University. After two years abroad with a year spent at ENS Lyon studying
nonlinear and statistical physics on a Rotary Fellowship, he returned to the US to
attend Princeton University where he obtained a PhD in Applied and

Articles written by Duke faculty are made available through the campus open access policy. For more information see: Duke Open Access Policy
Rights for Collection: Scholarly Articles
Works are deposited here by their authors, and represent their research and opinions, not that of Duke University. Some materials and descriptions may include offensive content. More info