论文信息 - Interspike interval statistics of neurons driven by colored noise.

Interspike interval statistics of neurons driven by colored noise.

A perfect integrate-and-fire model driven by colored noise is studied by means of the interspike interval (ISI) density and the serial correlation coefficient. Exact and approximate expressions for these functions are derived for weak dichotomous or Gaussian noise, respectively. It is shown that correlations in the input result in positive correlations in the ISI sequence and in a reduction of ISI variability. The results also indicate that for weak noise, the noise distribution only shapes the ISI density but not the ISI correlations which are determined by the noise's correlation function.

Benjamin Lindner | B. Lindner

[1] N. Brunel,et al. Firing frequency of leaky intergrate-and-fire neurons with synaptic current dynamics. , 1998, Journal of theoretical biology.

[2] D. Signorini,et al. Neural networks , 1995, The Lancet.

[3] L. Maler,et al. Negative Interspike Interval Correlations Increase the Neuronal Capacity for Encoding Time-Dependent Stimuli , 2001, The Journal of Neuroscience.

[4] David R. Cox,et al. The statistical analysis of series of events , 1966 .

[5] Nicolas Brunel,et al. Dynamics of the Firing Probability of Noisy Integrate-and-Fire Neurons , 2002, Neural Computation.

[6] M. Chacron,et al. Firing statistics of a neuron model driven by long-range correlated noise. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7] Irene A. Stegun,et al. Handbook of Mathematical Functions. , 1966 .

[8] V. Balakrishnan,et al. Persistent diffusion on a line , 1988 .

[9] Yutaka Sakai,et al. Temporally correlated inputs to leaky integrate-and-fire models can reproduce spiking statistics of cortical neurons , 1999, Neural Networks.

[10] B. Mandelbrot,et al. RANDOM WALK MODELS FOR THE SPIKE ACTIVITY OF A SINGLE NEURON. , 1964, Biophysical journal.

[11] Frances S. Chance,et al. Effects of synaptic noise and filtering on the frequency response of spiking neurons. , 2001, Physical review letters.

[12] Terrence J. Sejnowski,et al. Integrate-and-Fire Neurons Driven by Correlated Stochastic Input , 2002, Neural Computation.