Propagation of fluctuations in biochemical systems, I: linear SSC networks

Bulletin of Mathematical Biology
D F AndersonMichael C Reed

Abstract

We investigate the propagation of random fluctuations through biochemical networks in which the number of molecules of each species is large enough so that the concentrations are well modeled by differential equations. We study the effect of network topology on the emergent properties of the reaction system by characterizing the behavior of variance as fluctuations propagate down chains and studying the effect of side chains and feedback loops. We also investigate the asymptotic behavior of the system as one reaction becomes fast relative to the others.

References

Feb 15, 1974·European Journal of Biochemistry·R Heinrich, T A Rapoport
Nov 26, 2003·Journal of Theoretical Biology·Michael C ReedCornelia M Ulrich
Oct 22, 2004·The Journal of Biological Chemistry·H Frederik NijhoutCornelia M Ulrich
Jul 7, 2005·Bulletin of Mathematical Biology·Chetan GadgilHans G Othmer
Dec 8, 2006·Theoretical Biology & Medical Modelling·H Frederik NijhoutCornelia M Ulrich
Nov 14, 2007·Epigenetics : Official Journal of the DNA Methylation Society·H Frederik NijhoutCornelia M Ulrich
Jan 22, 2008·IET Systems Biology·D F Anderson, J C Mattingly

Citations

Apr 13, 2012·PLoS Computational Biology·Rachael Hageman BlairGary A Churchill
Dec 6, 2012·Journal of Mathematical Physics·Likun ZhengQing Nie
Jul 18, 2015·Nature Reviews. Genetics·Marie-Anne Félix, Michalis Barkoulas
May 12, 2007·Evolution; International Journal of Organic Evolution·Derek A Roff
Aug 17, 2018·Physical Review. E·Fabrizio Pucci, Marianne Rooman
Apr 9, 2019·Journal of the Royal Society, Interface·Fabrizio Pucci, Marianne Rooman
Apr 5, 2017·Scientific Reports·Styliani KontogeorgakiBen D MacArthur

Related Concepts

Biochemistry
Feedback - System Communication
Mathematics
Stochastic Processes
Log-Linear Models

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