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Original Article

Noise spectrum and signal transmission through a population of spiking neurons

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Pages 257-272 | Received 28 Jul 1999, Published online: 09 Jul 2009

References

  • Abbott L F, Dayan P. The effect of correlated variability on the accuracy of a population code. Neural Comput. 1999; 1: 91–101
  • Abbott L F, Van Vreeswijk C. Asynchronous states in networks of pulse-coupled oscillators. Phys. Rev. E 1993; 48: 1483
  • Abeles M. Corticonics. Cambridge University Press, Cambridge 1991
  • Adams R W. Spectral noise-shaping in integrate-and-fire neural networks. Proc. Int. Conf. on Neural Networks (ICNN '97) (Houston TX). IEEE Computer Society Press, Los Alamitos, CA 1997; 953
  • Bair W, Koch C, Newsome W, Britten K. Power spectrum analysis of MT neurons in the behaving monkey. J. Neurosci. 1994; 14: 2870–92
  • Brunel N, Hakim V. Fast global oscillations in networks of integrate-and-fire neurons with low firing rates. Neural Comput. 1999; 11: 1621–71
  • Bryant H L, Segundo J P. Spike inititation by transmembrane current: a white noise analysis. J. Physiol. 1976; 260: 279–314
  • Chow C C. Phase-locking in weakly heterogeneous neuronal networks. Physica D 1997; 118: 343–70
  • Cox D R. Renewal Theory. Mathuen, London 1962
  • Daley D, Vere-Jones D. An Introduction to the Theory of Point Processes. Springer, New York 1988
  • Deco G, Obradovic D. An Information-Theoretic Approach to Neural Computing. Springer, New York 1996
  • Edwards B E, Wakefield G H. The spectral shaping of neural discharges by refractory effects. J. Acoust. Soc. Am. 1993; 93: 3553–64
  • Gerstner W. Time structure of the activity in neural network models. Phys. Rev. E 1995; 51: 738–58
  • Gerstner W. Population dynamics for spiking neurons: fast transients, asynchronous states and locking. Neural Comput. 1999; 11: 1875–921
  • Gerstner W, Van Hemmen J l, Cowan J D. What matters in neuronal locking. Neural Comput. 1996; 8: 1689–712
  • Gerstner W, Van Hemmen J L. Associative memory in a network of spiking neurons. Netw., Comput. Neural Syst. 1992; 3: 139–64
  • Franklin J, Bair W. The effect of a refractory period on the power spectrum of neuronal discharge. SIAM J. Appl. Math. 1995; 55: 1074–93
  • Knight B W. Dynamics of encoding in a population of neurons. J. Gen. Physiol. 1972; 59: 734–66
  • Spiridon M, Chow C C, Gerstner W. Frequency spectrum of coupled stochastic neurons with refractoriness. Proc. 8th Int. Conf. on Artificial Neural Networks ICANN '98, M Boden, L Niklasson, T Ziemke. Springer, Berlin 1998; 1: 337–42
  • Mainen Z F, Sejnowski T J. Reliability of spike timing in neocortical neurons. Science 1995; 268: 1503–6
  • Mar D J, Chow C C, Gerstner W, Adams R W, Collins J J. Noise-shaping in populations of coupled model neurons. Proc. Natl Acad. Sci. USA 1999; 96, to appear
  • Panzeri S, Schultz S R, Treves A. Correlations and encoding of information in the nervous system. Proc. R. Soc. B 1999; 266: 1001–12
  • Plesser H E, Gerstner W. Stochastic resonance in integrate-and-fire neurons: comparison of noise-models. Neural Comput. 1999, to appear
  • Rieke F, Warland D, De Ruyter van Steveninck R, Bialek W. Spikes-Exploring the Neural Code. MIT, Cambridge, MA 1997
  • Shannon C E. A mathematical theory of communication. Bell Syst. Tech. J. 1948; 27: 623–56
  • Softky W R, Koch C. The highly irregular firing of cortical cells is inconstitent with temporal intergration of random EPSPs. J. Neurosci. 1993; 13: 334–50
  • Thorpe S, Fize D, Marlot C. Speed of processing in the human visual system. J. Comput. Neurosci. 1996; 381: 520–2
  • Tovee M J, Rolls E T, Treves A, Belles R P. Information encoding and the responses of single neurons in the primate visual cortex. J. Neurophysiol. 1993; 70: 640–54
  • Treves A. Mean-field analysis of neuronal spike dynamics. Netw., Comput. Neural Syst. 1993; 4: 259–84
  • Tsodyks M V, Sejnowski. Rapid state switching in balanced cortical network models. Comput. Neural Syst. 1995; 6: 111–24
  • Usher M, Stemmler M, Olami Z. Dynamic pattern formation leads to 1/f, noise in neural populations. Phys. Rev. Lett. 1995; 74: 326–9
  • Van Vreeswijk C, Sompolinsky H. Chaos in neuronal networks with balanced excitatory and inhibitory activity. Science 1996; 274: 1724–6
  • Van Vreeswijk C, Abbott L F, Bard Ermentrout G. When inhibition not excitation synchronizes neural firing. J. Comput. Neurosci. 1994; 1: 313–21
  • Yoon H, Sompolinsky H. Population Coding with Correlated Noise, M I Jordan, M J Kearns, S A Solla. MIT, Cambridge, MA 1999, Advances in Neural Information Processing Systems vol 11

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