Block structured dynamics and neuronal coding

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

Volumn 72, Issue 5, 2005, Pages

  Gonzalez Miranda J M ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ACTIVATION ENERGY; BIFURCATION (MATHEMATICS); NEUROLOGY; STRUCTURAL ANALYSIS;

BIFURCATION STRUCTURES; COMPLEX BIFURCATION; DYNAMICAL BEHAVIORS; DYNAMICAL LIKELIHOOD;

CELLS;

EID: 28844477946     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.051922     Document Type: Article

References (32)

1. T. J. Sejnowski, Nature (London) NATUAS 0028-0836 10.1038/376021a0 376, 21 (1995).
2. E. E. Fetz, Science SCIEAS 0036-8075 278, 1901 (1997).
3. D. Ferster and N. Spruston, Science SCIEAS 0036-8075 270, 756 (1995).
4. A. V. Holden, Nature (London) NATUAS 0028-0836 428, 382 (2004).
5. M. J. Chacron, B. Lindner, and A. Longtin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.080601 92, 080601 (2004).
6. M. Abeles, Science SCIEAS 0036-8075 304, 523 (2004).
7. Y. Ikegaya, G. Aaron, R. Cossart, D. Aronov, I. Lampl, D. Ferster, and R. Yuste, Science SCIEAS 0036-8075 10.1126/science.1093173 304, 559 (2004).
8. J. L. Hindmarsh and R. M. Rose, Proc. R. Soc. London, Ser. B PRLBA4 0962-8452 221, 87 (1984).
9. A. L. Hodgkin and A. F. Huxley, J. Physiol. (London) JPHYA7 0022-3751 117, 500 (1952).
10. A. I. Selverston, M. I. Rabinovich, H. D. I. Abarbanel, R. Elson, A. Szücs, R. D. Pinto, R. Huerta, and P. Varona, J. Physiol. (Paris) JHYSEM 0021-7948 94, 357 (2000).
11. J. M. González-Miranda, Chaos CHAOEH 1054-1500 10.1063/1.1594851 13, 845 (2003).
12. S. Reinker, E. Puil, and R. M. Miura, Bull. Math. Biol. BMTBAP 0092-8240 10.1016/S0092-8240(03)00026-0 65, 641 (2003).
13. D. He, P. Shi, and L. Stone, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.027201 67, 027201 (2003).
14. R. Huerta, M. I. Rabinovich, H. D. I. Abarbanel, and M. Bazhenov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.R2108 55, R2108 (1997).
15. M. Dhamala, V. K. Jirsa, and M. Ding, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.028101 92, 028101 (2004).
16. M. G. Rosenblum and A. S. Pikovsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.114102 92, 114102 (2004).
17. I. Belykh, E. de Lange, and M. Hasler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.188101 94, 188101 (2005).
18. M. C. Eguia, M. I. Rabinovich, and H. D. I. Abarbanel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.7111 62, 7111 (2000).
19. P. E. Kloeden and E. Platen, Numerical Solution of Stochastic Differential Equations (Springer Verlag, New York, 1995).
20. R. Fitzhugh, Biophys. J. BIOJAU 0006-3495 1, 445 (1961).
21. H. G. Schuster, Deterministic Chaos (VCH Verlagsgesellschaft mbH, Weinheim, 1988).
22. R. Badii, E. Brun, M. Finardi, L. Flepp, R. Holzner, J. Parisi, C. Reyl, and J. Simonet, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.66.1389 66, 1389 (1994).
23. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran 77 (Cambridge University Press, Cambridge, UK, 1995).
24. M. J. Chacron, A. Longtin, and L. Maler, J. Neurosci. JNRSDS 0270-6474 21, 5328 (2001).
25. M. F. Bear, B. W. Connors, and M. A. Paradiso, Neuroscience: Exploring the Brain (Lippincott, Williams and Wilkins, Baltimore, MD, 2001).
26. S. W. Kuffler, J. G. Nicholls, and R. K. Orkand, J. Neurophysiol. JONEA4 0022-3077 29, 768 (1966).
27. R. K. Orkand, J. G. Nicholls, and S. W. Kuffler, J. Neurophysiol. JONEA4 0022-3077 29, 788 (1966).
28. P. G. Haydon, Nat. Rev. Neurosci. NRNAAN 1471-003X 2, 185 (2001).
29. J. M. González-Miranda, Synchronization and Control of Chaos (Imperial College Press, London, 2004).
30. T. R. Chay, Physica D PDNPDT 0167-2789 10.1016/0167-2789(85)90060-0 16, 233 (1985).
31. H. A. Braun, M. T. Huber, M. Dewald, K. Schäfer, and K. Voigt, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 8, 811 (1998).
32. A. Sherman, J. Rinzel, and J. Keizer, Biophys. J. BIOJAU 0006-3495 54, 411 (1988).