Response of spiking neurons to correlated inputs.

The effect of a temporally correlated afferent current on the firing rate of a leaky integrate-and-fire neuron is studied. This current is characterized in terms of rates, autocorrelations, and cross correlations, and correlation time scale tau(c) of excitatory and inhibitory inputs. The output rate nu(out) is calculated in the Fokker-Planck formalism in the limit of both small and large tau(c) compared to the membrane time constant tau of the neuron. By simulations we check the analytical results, provide an interpolation valid for all tau(c), and study the neuron's response to rapid changes in the correlation magnitude.

[1]  J. Hammersley,et al.  Diffusion Processes and Related Topics in Biology , 1977 .

[2]  M. V. Rossum,et al.  In Neural Computation , 2022 .

[3]  William R. Softky,et al.  The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs , 1993, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[4]  Ehud Zohary,et al.  Correlated neuronal discharge rate and its implications for psychophysical performance , 1994, Nature.

[5]  R. Christopher deCharms,et al.  Primary cortical representation of sounds by the coordination of action-potential timing , 1996, Nature.

[6]  W. Newsome,et al.  The Variable Discharge of Cortical Neurons: Implications for Connectivity, Computation, and Information Coding , 1998, The Journal of Neuroscience.

[7]  Idan Segev,et al.  Reading Neuronal Synchrony with Depressing Synapses , 1998, Neural Computation.

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

[9]  Wolf Singer,et al.  Neuronal Synchrony: A Versatile Code for the Definition of Relations? , 1999, Neuron.

[10]  T. Sejnowski,et al.  Impact of Correlated Synaptic Input on Output Firing Rate and Variability in Simple Neuronal Models , 2000, The Journal of Neuroscience.

[11]  D. Wilkin,et al.  Neuron , 2001, Brain Research.

[12]  T. Sejnowski,et al.  Correlated neuronal activity and the flow of neural information , 2001, Nature Reviews Neuroscience.