Noise in a small genetic circuit that undergoes bifurcation

Complexity

Volumn 11, Issue 1, 2005, Pages 45-51

  Toulouse, Trent ^a   Ao, Ping ^b   Shmulevich, Ilya ^c   Kauffman, Stuart ^a,d  

^a UNIVERSITY OF NEW MEXICO SCHOOL OF MEDICINE   (United States)

^b UNIVERSITY OF WASHINGTON   (United States)

^c INSTITUTE FOR SYSTEMS BIOLOGY   (United States)

^d UNIVERSITY OF CALGARY   (Canada)

Author keywords

Attractors; Cell types; Genetic networks; Langevin dynamics; Robustness; Stability; Stochastic processes

Indexed keywords

EID: 30744478219     PISSN: 10762787     EISSN: 10990526     Source Type: Journal    
DOI: 10.1002/cplx.20099     Document Type: Article

References (13)

1. Kauffman, S.A. Metabolic stability and epigenesis in randomly constructed genetic nets. J Theor Biol 1969, 22, 437-467.
2. Mestl, T.; Plahte, E.; Omholt, S.W. A mathematical framework for describing and analysing gene regulatory networks. J Theor Biol 1995, 176:2, 291-300.
3. Glass, L. Classification of biological networks by their qualitative dynamics. J Theor Biol 1975, 54, 85-107.
4. Alberts, B.; Johnson, A.; Lewis, J.; Raff, M.; Roberts, K.; Walter, P. Molecular Biology of the Cell, 4th ed.; Garland Science: New York, NY, 2002.
5. Kauffman, S.A. The Origins of Order: Self-organization and Selection in Evolution; Oxford University Press: New York, 1993.
6. Aldana, M.; Coppersmith, S.; Kadanoff, LP. Boolean dynamics with random couplings. In: Perspectives and Problems in Nonlinear Science; Kaplan, E.; Marsden, J.E.; Sreenivasan, K.R., Eds.; Boolean Dynamics with Random Couplings; Springer Applied Mathematical Sciences Series. 2003; pp 23-89.
7. Van Kampen, N.G. Stochastic Processes in Physics and Chemistry; Elsevier Science, 2001.
8. Milo, R.; Shen-Orr, S.; Itzkovitz, S.; Kashtan, N.; Chklovskii, D.; Alon,U. Network motifs: Simple building blocks of complex networks. Science 2002, 298, 824-827.
9. Mangan, S.; Alon, U. Structure and function of the feed-forward loop network motif. Proc Natl Acad Sci USA 2003, 100, 11980-11985.
10. Dobrin, R.; Beg, Q.K.; Barabasi, A.L.; Oltvai, Z.N. Aggregation of topological motifs in the Escherichia coli transcriptional regulatory network. BMC Bioinformatics 2004, 30;5(1), 10.
11. Ross, S.M. A First Course in Probability, 5th ed.; Prentice Hall, 1997.
12. Armitage, P.; Berry, G. Survival analysis. In: Statistical Methods in Medical Research, 3d ed.; Armitage, P.; Berry, G., Eds.; Blackwell Scientific Publications: Oxford, 1994; pp 469-492.
13. Zhu, X.-M.; Yin, L.; Hood, L.; Ao, P. Robustness, stability and efficiency of phage lambda genetic switch: dynamical structure analysis. J Bioinf Comput Biology 2005, 2, 785-817.