Firing-rate resonance in a generalized integrate-and-fire neuron with subthreshold resonance

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

Volumn 67, Issue 5 1, 2003, Pages

  Brunel, Nicolas ^a   Hakim, Vincent ^b   Richardson, Magnus J E ^b,c  

^a CNRS   (France)

^b ECOLE NORMALE SUPÉRIEURE   (France)

^c EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; NEUROLOGY; NUMERICAL METHODS; OSCILLATIONS; PHYSIOLOGY;

FIRING RATE RESONANCE; NEURON; SPIKING PROPERTIES;

CELLS;

EID: 42749100584     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (41)

1. C. Koch and I. Segev, Methods in Neuronal Modeling: From Ions to Networks, 2nd ed. (MIT Press, Cambridge, MA, 1998).
2. P. Dayan and L.F. Abbott, Theoretical Neuroscience (MIT Press, Cambridge, MA, 2001).
3. E. Salinas and T.J. Sejnowski, Nat. Rev. Neurosci. 2, 539 (2001)
4. X.-J. Wang, Encyclopedia of Cognitive Science (Macmillan, London, 2002), and references therein.
5. E. Puil, B. Gimbarzevsky, and R.M. Miura, J. Neurophysiol. 55, 995 (1986).
6. B. Hutcheon, R.M. Miura, and E. Puil, J. Neurophysiol. 76, 683 (1996)
7. B. Hutcheon, R.M. Miura, and E. Puil, J. Neurophysiol. 76, 698 (1996).
8. Y. Gutfreund, Y. Yarom, and I. Segev, J. Physiol. 483, 621 (1995).
9. L.S. Leung and H.W. Yu, J. Neurophysiol. 79, 1592 (1998).
10. F.G. Pike et al., J. Physiol. 529, 205 (2000).
11. B. Hutcheon and Y. Yarom, Trends Neurosci. 23, 216 (2000), and references therein.
12. A.L. Hodgkin and A.F. Huxley, J. Physiol. 117, 500 (1952).
13. C. Koch, Biophysics of Computation (Oxford University Press, Oxford, 1999).
14. M.J.E. Richardson, N. Brunel, and V. Hakim, J. Neurophysiol. 89, 2538 (2003).
15. L. Lapicque, J. Physiol. Pathol. Gen. 9, 620 (1907).
16. H. Tuckwell, Introduction to Theoretical Neurobiology (Cambridge University Press, Cambridge, 1988).
17. A. Treves, Network 4, 259 (1993).
18. L.F. Abbott and C. van Vreeswijk, Phys. Rev. E 48, 1483 (1993).
19. N. Brunel and V. Hakim, Neural Comput. 11, 1621 (1999).
20. A related model has been proposed in E.M. Izhikevich, Neural Networks 14, 883 (2001).
21. R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, L453 (1981)
22. K. Wiesenfeld and F. Moss, Nature (London) 373, 33 (1995), and references therein for a short overview of applications in life sciences.
23. A.R. Bulsara, S.B. Lowen, and C.D. Rees, Phys. Rev. E 49, 4989 (1994).
24. W. Gerstner, Neural Comput. 12, 43 (2000).
25. B.W. Knight, J. Gen. Physiol. 59, 734 (1972).
26. B.W. Knight, A. Omurtag, and L. Sirovich, Neural Comput. 12, 1045 (2000).
27. D.Q. Nykamp and D. Tranchina, J. Comput. Neurosci. 8, 19 (2000).
28. N. Brunel, F.S. Chance, N. Fourcaud, and L.F. Abbott, Phys. Rev. Lett. 86, 2186 (2001).
29. S. Chandrasekhar, Rev. Mod. Phys. 15, 1 (1943).
30. H.E. Plesser and T. Geisel, Phys. Rev. E 59, 7008 (1999).
31. I. Lampl and Y. Yarom, Neuroscience 78, 325 (1997).
32. C.I. De Zeeuw et al., Trends Neurosci. 21, 391 (1998).
33. H. Jahnsen and S. Karnup, Brain Res. 666, 9 (1994).
34. E. Puil, H. Meiri, and Y. Yarom, J. Neurophysiol. 71, 575 (1994).
35. 2/2!+
36. A. Destexhe, M. Rudolph, J.-M. Fellous, and T.J. Sejnowski, Neuroscience 107, 13 (2001), for a discussion and a simple modeling.
37. P.H.E. Tiesinga and J.V. Jose, Network 11, 1 (2000).
38. N. Brunel and X.-J. Wang, J. Neurophysiol. (to be published).
39. G. Fuhrmann, H. Markram, and M. Tsodyks, J. Neurophysiol. 88, 761 (2002).
40. M.I. Freidlin and A.D. Wentzell, Random Perturbations of Dynamical Systems (Springer, New York, 1984) for the general formalism
41. M.-L. Chabanol, V. Hakim, and W.-J. Rappel, Physica D 103, 273 (1997), for an explicit computation in a similar case.