Noise-memory induced excitability and pattern formation in oscillatory neural models

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

Volumn 73, Issue 2, 2006, Pages

  Glatt, Erik ^a,b   Busch, Hauke ^a,b   Kaiser, Friedemann ^a,b   Zaikin, Alexei ^b  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF POTSDAM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

OSCILLATORY NEURAL MODELS; PARAMETRIC NOISE; SYNCHRONOUS OSCILLATIONS;

ACOUSTIC NOISE; COMPUTER SIMULATION; CORRELATION METHODS; ELECTRIC EXCITATION; OSCILLATIONS; PARAMETER ESTIMATION; SYNCHRONOUS MACHINERY;

NEURAL NETWORKS;

ACTION POTENTIAL; ANIMAL; AUTOMATED PATTERN RECOGNITION; BIOLOGICAL MODEL; BIOLOGICAL RHYTHM; BRAIN; COMPUTER SIMULATION; EXCITATORY POSTSYNAPTIC POTENTIAL; HUMAN; MEMORY; NERVE CELL; NERVE CELL NETWORK; PHYSIOLOGY; PROCEDURES; STATISTICS; SYNAPTIC TRANSMISSION;

ACTION POTENTIALS; ANIMALS; BIOLOGICAL CLOCKS; BRAIN; COMPUTER SIMULATION; EXCITATORY POSTSYNAPTIC POTENTIALS; HUMANS; MEMORY; MODELS, NEUROLOGICAL; NERVE NET; NEURONS; PATTERN RECOGNITION, AUTOMATED; STOCHASTIC PROCESSES; SYNAPTIC TRANSMISSION;

EID: 33644542718     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.026216     Document Type: Article

References (28)

1. P. A. Tass, Phase Resetting in Medicine and Biology. Stochastic Modelling and Data Analysis (Springer, Berlin, 1999).
2. A. Benabid, P. Pollack, and C. Gervason, Lancet LANCAO 0140-6736 10.1016/0140-6736(91)91175-T 337, 403 (1991).
3. M. G. Rosenblum and A. S. Pikovsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.114102 92, 114102 (2004).
4. E. Ullner, A. Zaikin, J. García-Ojalvo, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.180601 91, 180601 (2003).
5. J. S. Nagumo and S. Yoshizawa, Proc. IRE PIREAE 0096-8390 50, 2061 (1962).
6. R. A. FitzHugh, Biophys. J. BIOJAU 0006-3495 1, 445 (1961).
7. D. Nozaki, D. J. Mar, P. Grigg, and D. J. Collins, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.2402 82, 2402 (1999).
8. B. Doiron, B. Lindner, A. Longtin, L. Maler, and J. Bastian, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.048101 93, 048101 (2004).
9. J. White, R. Klink, A. Alonso, and A. Kay, J. Neurol. 0340-5354 80, 262 (1998).
10. N. Brunel and S. Sergi, J. Theor. Biol. JTBIAP 0022-5193 10.1006/jtbi.1998.0782 195, 87 (1998).
11. N. Fourcad and N. Brunel, Neural Comput. NEUCEB 0899-7667 10.1162/089976602320264015 14, 2057 (2002).
12. Y. Sakai, S. Funahashi, and S. Shinomoto, Neural Networks NNETEB 0893-6080 10.1016/S0893-6080(99)00053-2 12, 1181 (1998).
13. H. Busch and F. Kaiser, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.041105 67, 041105 (2003).
14. V. Pérez-Muñuzuri, F. Sagués, and J. M. Sancho, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.94 62, 94 (2000).
15. S. Alonso, F. Sagués, and J. M. Sancho, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.066107 65, 066107 (2002).
16. S. Alonso, J. M. Sancho, and F. Saguès, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.067201 70, 067201 (2004).
17. E. Salinas and L. Abbot, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.93.21.11956 93, 11956 (1996).
18. N. Hatsopoulos, F. Gabbiani, and G. Laurent, Science SCIEAS 0036-8075 270, 1000 (1995).
19. R. Andersen, R. Bracewell, S. Barash, J. Gnadt, and L. Fogassi, J. Neurosci. JNRSDS 0270-6474 10, 1176 (1990).
20. A. Van Opstal, K. Hepp, Y. Suzuki, and V. Henn, J. Neurophysiol. JONEA4 0022-3077 74, 1593 (1995).
21. S. Mangioni, R. Deza, H. S. Wio, and R. Toral, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2389 79, 2389 (1997).
22. S. E. Mangioni, R. R. Deza, R. Toral, and H. S. Wio, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.223 61, 223 (2000).
23. J. García-Ojalvo and J. M. Sancho, Noise in Spatially Extended Systems (Springer, New York, 1999).
24. J. M. Sancho, M. San Miguel, S. L. Katz, and J. D. Gunton, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.26.1589 26, 1589 (1982).
25. E. A. Novikov, Sov. Phys. JETP SPHJAR 0038-5646 20, 1920 (1964).
26. P. Landa, Nonlinear Oscillations and Waves in Dynamical Systems (Kluwer Academic, Dordrecht, 1996).
27. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.70.223 70, 223 (1998).
28. 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).