Role of delays in shaping spatiotemporal dynamics of neuronal activity in large networks

Physical Review Letters

Volumn 94, Issue 23, 2005, Pages

  Roxin, Alex ^a   Brunel, Nicolas ^a   Hansel, David ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTION OF THE INTERACTION PARAMETERS; PERIOD-DOUBLING BIFURCATION;

DYNAMICS; FUNCTIONS; MATHEMATICAL MODELS; OSCILLATIONS; PHASE DIAGRAMS;

NEURAL NETWORKS;

BIOLOGICAL MODEL; BRAIN CORTEX; CELL COMMUNICATION; CYTOLOGY; NERVE CELL; NERVE CELL NETWORK; PHYSIOLOGY;

CELL COMMUNICATION; CEREBRAL CORTEX; MODELS, NEUROLOGICAL; NERVE NET; NEURONS;

EID: 27744439912     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.238103     Document Type: Article

References (24)

1. V.B. Mountcastle, Brain BRAIAK 0006-8950 120, 701 (1997). 10.1093/brain/120.4.701
2. G. González-Burgos, G. Barrionuevo, and D.A. Lewis, Cereb. Cortex CECOE6 10, 82 (2000).
3. K.A.C. Martin, Quarterly Journal of Experimental Physiology: An International Journal of the Physiological Society QJEPD3 0144-8757 73, 637 (1988).
4. M. Tsodyks, T. Kenet, A. Grinvald, and A. Arieli, Science SCIEAS 0036-8075 286, 1943 (1999). 10.1126/science.286.5446.1943
5. R. Ben-Yishai, R. Lev Bar-Or, and H. Sompolinsky, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 92, 3844 (1995).
6. D. Hansel and H. Sompolinsky, in Methods in Neuronal Modeling, edited by, C. Koch, and, I. Segev, (MIT Press, Cambridge, MA, 1998), 2nd ed..
7. D.C. Somers, S.B. Nelson, and M. Sur, J. Neurosci. JNRSDS 0270-6474 15, 5448 (1995).
8. A. Compte, N. Brunel, P.S. Goldman-Rakic, and X.-J. Wang, Cereb. Cortex CECOE6 10, 910 (2000).
9. B.S. Gutkin, C.R. Laing, C.L. Colby, C.C. Chow, and G.B. Ermentrout, J. Comput. Neurosci. 11, 121 (2001). JCNEFR 0929-5313 10.1023/A:1012837415096
10. R. Ben-Yishai, D. Hansel, and H. Sompolinsky, J. Comput. Neurosci. 4, 57 (1997). JCNEFR 0929-5313 10.1023/A:1008816611284
11. D. Golomb and G.B. Ermentrout, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 96, 13480 (1999). 10.1073/pnas.96.23.13480
12. H. Markram, J. Lubke, M. Frotscher, A. Roth, and B. Sakmann, J. Physiol. (London) 500, JPHYA7 0022-3751 409 (1997).
13. N. Fourcaud-Trocmé, D. Hansel, C. van Vreeswijk, and N. Brunel, J. Neurosci. JNRSDS 0270-6474 23, 11628 (2003).
14. N. Brunel and V. Hakim, Neural Comput. NEUCEB 0899-7667 11, 1621 (1999). 10.1162/089976699300016179
15. N. Brunel and X.-J. Wang, J. Neurophysiol. 90, 415 (2003). JONEA4 0022-3077
16. H.R. Wilson and J.D. Cowan, Kybernetik KYBEAP 0023-5946 13, 55 (1973). 10.1007/BF00288786
17. S. Amari, Biol. Cybern. 27, 77 (1977). BICYAF 0340-1200 10.1007/BF00337259
18. G.B. Ermentrout, Rep. Prog. Phys. 61, 353 (1998). RPPHAG 0034-4885 10.1088/0034-4885/61/4/002
19. P.C. Bressloff, in Methods and Models in Neurophysics, Les Houches 2003 Session LXXX, edited by, C. Chow, B. Gutkin, D. Hansel, C. Meunier, and, J. Dalibard, (Elsevier, Amsterdam, 2003).
20. See EPAPS Document No. E-PRLTAO-94-061525 for the analytical framework and calculations for the stability analysis of nonlinear firing patterns (stationary bumps, oscillatory uniform state, and traveling waves) in the firing-rate equation with threshold-linear transfer function and cosine coupling. Phase diagrams for different values of the delay (D). A direct link to this document may be found in the online article's HTML reference section. The document may also be reached via the EPAPS homepage (http://www.aip.org/ pubservs/epaps.html) or from ftp.aip.org in the directory /epaps/. See the EPAPS homepage for more information.
21. D. Golomb, X.J. Wang, and J. Rinzel, J. Neurophysiol. 75, 750 (1996). JONEA4 0022-3077
22. X.-J. Wang and G. Buzsáki, J. Neurosci. JNRSDS 0270-6474 16, 6402 (1996).
23. M. Argentina, P. Coullet, and F. Risler, Phys. Rev. Lett. 86, 807 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.807
24. S. Coombes, G.J. Lord, and M.R. Owen, Physica D (Amsterdam) 178, 219 (2003). PDNPDT 0167-2789 10.1016/S0167-2789(03)00002-2