Corepressive interaction and clustering of degrade-and-fire oscillators

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

Volumn 84, Issue 5, 2011, Pages

  Fernandez, Bastien ^a   Tsimring, Lev S ^b  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

^b UNIVERSITY OF CALIFORNIA SAN DIEGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONDENSED MATTER PHYSICS; PHYSICS;

ANALYTICAL THEORY; ASYMPTOTIC REGIMES; COUPLING STRENGTHS; NEGATIVE FEEDBACK LOOP; NUMBER OF CLUSTERS; STRONGLY NONLINEAR; SYNCHRONIZED CLUSTERS; THERMODYNAMIC LIMITS;

PHASE TRANSITIONS;

EID: 83255175549     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.051916     Document Type: Article

References (22)

1. U. Alon, An Introduction to Systems Biology: Design Principles of Biological Circuits (Chapman & Hall/CRC Press, Boca Raton, 2007).
2. J. Stelling, U. Sauer, Z. Szallasi, F. Doyle III, and J. Doyle, Cell CELLB5 0092-8674 10.1016/j.cell.2004.09.008 118, 675 (2004). (Pubitemid 39221728)
3. S. Panda, J. B. Hogenesch, and S. A. Kay, Nature (London) NATUAS 0028-0836 10.1038/417329a 417, 329 (2002). (Pubitemid 34534720)
4. M. B. Elowitz and S. Leibler, Nature (London) NATUAS 0028-0836 10.1038/35002125 403, 335 (2000). (Pubitemid 30062393)
5. J. Stricker, S. Cookson, M. R. Bennett, W. H. Mather, L. S. Tsimring, and J. Hasty, Nature (London) NATUAS 0028-0836 10.1038/nature07389 456, 516 (2008). (Pubitemid 352759003)
6. M. Tigges, T. Marquez-Lago, J. Stelling, and M. Fussenegger, Nature (London) NATUAS 0028-0836 10.1038/nature07616 457, 309 (2009).
7. W. Mather, M. R. Bennett, J. Hasty, and L. S. Tsimring, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.068105 102, 068105 (2009).
8. N. MacDonald, J. Theor. Biol. JTBIAP 0022-5193 10.1016/0022-5193(77) 90056-X 67, 549 (1977). (Pubitemid 8161418)
9. R. D. Bliss, P. R. Painter, and A. G. Marr, J. Theor. Biol. JTBIAP 0022-5193 10.1016/0022-5193(82)90098-4 97, 177 (1982). (Pubitemid 12023228)
10. M. C. Mackey and I. G. Nechaeva, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.52.3366 52, 3366 (1995).
11. D. Bratsun, D. Volfson, L. S. Tsimring, and J. Hasty, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0503858102 102, 14593 (2005). (Pubitemid 41457102)
12. R. Coutinho, B. Fernandez, R. Lima, and A. Meyroneinc, J. Math. Biol. JMBLAJ 0303-6812 10.1007/s00285-005-0359-x 52, 524 (2006).
13. T. Danino, O. Mondragon-Palomino, L. Tsimring, and J. Hasty, Nature (London) NATUAS 0028-0836 10.1038/nature08753 463, 326 (2010).
14. H. Tuckwell, Introduction to Theoretical Neurobiology: Linear Cable Theory and Dendritic Structure, Vol. 1 (Cambridge University Press, Cambridge, 1988).
15. R. Mirollo and S. Strogatz, SIAM J. Appl. Math. SMJMAP 0036-1399 10.1137/0150098 50, 1645 (1990).
16. S. Bottani, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.54.2334 54, 2334 (1996).
17. U. Ernst, K. Pawelzik, and T. Geisel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.1570 74, 1570 (1995).
18. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer, Berlin, 1984).
19. M. Timme, F. Wolf, and T. Geisel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.258701 89, 258701 (2002).
20. M. Barahona and L. M. Pecora, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.054101 89, 054101 (2002).
21. E. I. Jury, Theory and Applications of the z-Transform Method (Wiley, New York, 1964).
22. M. Reed and B. Simon, Functional Analysis I (Academic Press, San Diego, 1980).