Propagation of fluctuations in biochemical systems, I: linear SSC networks.
Publication
, Journal Article
Anderson, DF; Mattingly, JC; Nijhout, HF; Reed, MC
Published in: Bulletin of mathematical biology
August 2007
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.
Duke Scholars
Published In
Bulletin of mathematical biology
DOI
EISSN
1522-9602
ISSN
0092-8240
Publication Date
August 2007
Volume
69
Issue
6
Start / End Page
1791 / 1813
Related Subject Headings
- Stochastic Processes
- Models, Biological
- Mathematics
- Linear Models
- Kinetics
- Homeostasis
- Feedback
- Cells
- Bioinformatics
- Biochemistry
Citation
APA
Chicago
ICMJE
MLA
NLM
Anderson, D. F., Mattingly, J. C., Nijhout, H. F., & Reed, M. C. (2007). Propagation of fluctuations in biochemical systems, I: linear SSC networks. Bulletin of Mathematical Biology, 69(6), 1791–1813. https://doi.org/10.1007/s11538-007-9192-2
Anderson, David F., Jonathan C. Mattingly, H Frederik Nijhout, and Michael C. Reed. “Propagation of fluctuations in biochemical systems, I: linear SSC networks.” Bulletin of Mathematical Biology 69, no. 6 (August 2007): 1791–1813. https://doi.org/10.1007/s11538-007-9192-2.
Anderson DF, Mattingly JC, Nijhout HF, Reed MC. Propagation of fluctuations in biochemical systems, I: linear SSC networks. Bulletin of mathematical biology. 2007 Aug;69(6):1791–813.
Anderson, David F., et al. “Propagation of fluctuations in biochemical systems, I: linear SSC networks.” Bulletin of Mathematical Biology, vol. 69, no. 6, Aug. 2007, pp. 1791–813. Epmc, doi:10.1007/s11538-007-9192-2.
Anderson DF, Mattingly JC, Nijhout HF, Reed MC. Propagation of fluctuations in biochemical systems, I: linear SSC networks. Bulletin of mathematical biology. 2007 Aug;69(6):1791–1813.
Published In
Bulletin of mathematical biology
DOI
EISSN
1522-9602
ISSN
0092-8240
Publication Date
August 2007
Volume
69
Issue
6
Start / End Page
1791 / 1813
Related Subject Headings
- Stochastic Processes
- Models, Biological
- Mathematics
- Linear Models
- Kinetics
- Homeostasis
- Feedback
- Cells
- Bioinformatics
- Biochemistry