Noise-induced metastability in biochemical networks

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 86, Issue 1, 2012, Pages

  Biancalani, Tommaso ^a   Rogers, Tim ^a   McKane, Alan J ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL RESULTS; AUTOCATALYTIC REACTIONS; BIOCHEMICAL NETWORK; BIOCHEMICAL REACTIONS; DIFFERENT TIME SCALE; MEAN-FIELD; META-STABLE STATE; METASTABILITIES; RATE EQUATIONS;

CONDENSED MATTER PHYSICS;

PHYSICS;

EID: 84864774581     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.86.010106     Document Type: Article

References (17)

1. A. Raj and A. van Oudenaarden, Annu. Rev. Biophys. Biomol. Struct. 38, 255 (2009).
2. C. Rao, D. Wolf, and A. Arkin, Nature NATUAS 0028-0836 10.1038/nature01258 420, 231 (2002). (Pubitemid 35340135)
3. N. Maheshri and E. O'Shea, Annu. Rev. Biophys. Biomol. Struct. ABBSE4 1056-8700 10.1146/annurev.biophys.36.040306.132705 36, 413 (2007). (Pubitemid 46998126)
4. M. Kaern, T. C. Elston, W. J. Blake, and J. J. Collins, Nat. Rev. Genet. 1471-0056 10.1038/nrg1615 6, 451 (2005). (Pubitemid 40733890)
5. V. Shahrezaei and P. S. Swain, Curr. Opin. Biotechnol. CUOBE3 0958-1669 10.1016/j.copbio.2008.06.011 19, 369 (2008).
6. Y. Togashi and K. Kaneko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2459 86, 2459 (2001); (Pubitemid 32278020)
7. Y. Togashi and K. Kaneko, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.72.62 72, 62 (2003).
8. C. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences, 4th ed. (Springer, New York, 2009).
9. D. T. Gillespie, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100540a008 81, 2340 (1977).
10. H. Risken, The Fokker-Planck Equation - Methods of Solution and Applications, 2nd ed. (Springer, Berlin, 1989).
11. W. Horsthemke and R. Lefever, Noise-Induced Transitions (Springer-Verlag, Berlin, 1984).
12. for example, in [M. Parker and A. Kamenev, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.021129 80, 021129 (2009)] to study the properties of stochastic extinction events in the Lotka-Volterra model.
13. T. Dauxois, F. Di Patti, D. Fanelli, and A. J. McKane, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.036112 79, 036112 (2009).
14. J. Ohkubo, N. Shnerb, and D. A. Kessler, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.77.044002 77, 044002 (2008).
15. T. Biancalani, T. Rogers, and A. J. McKane (unpublished).
16. M. I. Freidlin and A. D. Wentzell, Random Perturbations of Dynamical Systems (Springer-Verlag, Berlin, 1984).
17. T. Rogers, A. J. McKane, and A. G. Rossberg, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/97/40008 97, 40008 (2012).