Spiking neurons and the first passage problem

Authors:
Lawrence Sirovich;Bruce Knight
Affiliations:
-;-
Venue:
Neural Computation
Year:
2011

Citing 6
Cited 2

Mathematical physiology

Mathematical physiology
Dynamics of neuronal populations: the equilibrium solution

SIAM Journal on Applied Mathematics
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Dynamics of Encoding in Neuron Populations: Some General Mathematical Features

Neural Computation
Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems

Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems
Unfolding an electronic integrate-and-fire circuit

Biological Cybernetics

The faithful copy neuron

Journal of Computational Neuroscience
On the continuous differentiability of inter-spike intervals of synaptically connected cortical spiking neurons in a neuronal network

Neural Computation

Quantified Score

Hi-index	0.00

Visualization

Abstract

We derive a model of a neuron's interspike interval probability density through analysis of the first passage problem. The fit of our expression to retinal ganglion cell laboratory data extracts three physiologically relevant parameters, with which our model yields input-output features that conform to laboratory results. Preliminary analysis suggests that under common circumstances, local circuitry readjusts these parameters with changes in firing rate and so endeavors to faithfully replicate an input signal. Further results suggest that the so-called principle of sloppy workmanship also plays a role in evolution's choice of these parameters.