Inherent multistability in arrays of autoinducer coupled genetic oscillators

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

Volumn 75, Issue 3, 2007, Pages

  Koseska, A ^a   Volkov, E ^b   Zaikin, A ^a,c   Kurths, J ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

^b LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

^c UNIVERSITY OF ESSEX   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLED CIRCUITS; ELECTROMAGNETIC COUPLING; LARGE SCALE SYSTEMS; NEURAL NETWORKS; TIME VARYING SYSTEMS;

GENETIC CIRCUITS; GENETIC NETWORKS; GENETIC OSCILLATORS; RHYTHM GENERATION;

OSCILLATORS (ELECTRONIC);

EID: 34047145964     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.031916     Document Type: Article

References (39)

1. S. L. Garfinkel, Technol. Rev. TEREAU 0040-1692 3, 70 (2000).
2. T. S. Gardner, C. R. Cantor, and J. J. Collins, Nature (London) NATUAS 0028-0836 10.1038/35002131 403, 339 (2000).
3. M. B. Elowitz and S. Leibler, Nature (London) NATUAS 0028-0836 10.1038/35002125 403, 335 (2000).
4. J. Hasty, F. Isaacs, M. Dolnik, D. McMillen, and J. J. Collins, Chaos CHAOEH 1054-1500 10.1063/1.1345702 11, 207 (2001).
5. D. McMillen, N. Kopell, J. Hasty, and J. J. Collins, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.022642299 99, 679 (2002).
6. R. Weiss, S. Basu, S. Hooshangi, A. Kalmbach, D. Karig, R. Mehreja, and L. Netravali, Natural Comput. 2, 47 (2003).
7. J. García-Ojalvo, M. Elowitz, and S. Strogatz, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0307095101 101, 10955 (2004).
8. A. Kuznetsov, M. Kern, and N. Kopell, SIAM J. Appl. Math. SMJMAP 0036-1399 10.1137/S0036139903436029 65, 392 (2005).
9. R. Wang and L. Chen, J. Biol. Rhythms ZZZZZZ 0748-7304 20, 257 (2005).
10. L. Chen, R. Wang, T. Zhou, and K. Aihara, Bioinformatics BOINFP 1367-4803 10.1093/bioinformatics/bti392 21, 2722 (2005).
11. A. Mustafin and E. Volkov, Biol. Cybern. BICYAF 0340-1200 49, 149 (1984).
12. E. Volkov and M. Stolyarov, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(91)90162-2 159, 61 (1991).
13. E. Volkov and M. Stolyarov, Biol. Cybern. BICYAF 0340-1200 10.1007/BF00198921 71, 451 (1994).
14. N. Kopell and D. J. Somers, J. Math. Biol. JMBLAJ 0303-6812 10.1007/BF00169564 33, 261 (1995).
15. D. Ruwisch, M. Bode, D. Volkov, and E. Volkov, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S0218127499001437 9, 1969 (1999).
16. O. Decroly and A. Goldbeter, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.79.22.6917 79, 6917 (1982).
17. T. Haberichter, M. Marhl, and R. Heinrich, Biophys. Chem. BICIAZ 0301-4622 10.1016/S0301-4622(01)00127-2 90, 17 (2001).
18. K. Tsaneva-Atanasova, C. L. Zimliki, R. Bertram, and A. Sherman, Biophys. J. BIOJAU 0006-3495 90, 1 (2006).
19. G. Ullah, P. Jung, and A. H. Cornell-Bell, Cell Calcium CECADV 0143-4160 10.1016/j.ceca.2005.10.009 39, 197 (2006).
20. J. Wolf and R. Heinrich, Biochem. J. BIJOAK 0264-6021 345, 321 (2000).
21. V. In, A. Kho, J. D. Neff, A. Palacios, P. Longhini, and B. K. Meadows, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.244101 91, 244101 (2003).
22. D. Gonze, S. Bernard, C. Waltermann, A. Kramer, and H. Herzel, Biophys. J. BIOJAU 0006-3495 89, 120 (2005).
23. H. Kunz and P. Achermann, J. Theor. Biol. JTBIAP 0022-5193 10.1016/S0022-5193(03)00141-3 224, 63 (2003).
24. H. R. Ueda, K. Hirose, and M. Iino, J. Theor. Biol. JTBIAP 0022-5193 216, 501 (2002).
25. K. Kaneko, Physica D PDNPDT 0167-2789 63, 424 (1990).
26. D. Golomb, D. Hansel, B. Shraiman, and H. Sompolinsky, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.3516 45, 3516 (1992).
27. K. Okuda, Physica D PDNPDT 0167-2789 63, 424 (1993).
28. K. Miyakawa and K. Yamada, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(00)00218-9 151, 217 (2001).
29. I. Z. Kiss and J. L. Hudson, Chaos CHAOEH 1054-1500 10.1063/1.1586551 13, 999 (2003).
30. W. Wang, I. Z. Kiss, and J. L. Hudson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4954 86, 4954 (2001).
31. H. Kobayashi, M. Kaern, M. Araki, K. Chung, T. Gardner, C. Cantor, and J. J. Collins, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas. 0402940101 101, 8414 (2004).
32. C. Fuqua and P. E. Greenberg, Nat. Rev. Mol. Cell Biol. ZZZZZZ 1471-0072 3, 685 (2002).
33. I. Prigogine and R. Lefever, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1668896 48, 1695 (1968).
34. K. Bar-Eli, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(00)00184-6 14, 242 (1985).
35. Y. Zhai, I. Z. Kiss, and J. L. Hudson, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.026208 69, 026208 (2004).
36. B. Ermentrout, Simulating, Analyzing, and Animating Dynamical Systems: A Guide to Xppaut for Researchers and Students (Software, Environments, Tools) (SIAM Press, Philadelphia, PA, 2002).
37. J. Foss, A. Longtin, B. Mensour, and J. Milton, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.708 76, 708 (1996).
38. H. Gudesen, P. Nordal, and G. Leistad, U.S. Patent No. 6055180 (1999).
39. H. G. Rotstein and R. Kuske, Physica D PDNPDT 0167-2789 215, 46 (2006).