Action Potential Onset Dynamics and the Response Speed of Neuronal Populations

Details Action Potential Onset Dynamics and the Response Speed of Neuronal Populations Action Potential Onset Dynamics and the Response Speed of Neuronal Populations

2004-11-23

arxiv.org/abs/q-bio/0411042v1

Biology

Quantitative Biology

Neurons and Cognition

Submitted to the Journal of Computational Neuroscience

Scientific paper

The result of computational operations performed at the single cell level are coded into sequences of action potentials (APs). In the cerebral cortex, due to its columnar organization, large number of neurons are involved in any individual processing task. It is therefore important to understand how the properties of coding at the level of neuronal populations are determined by the dynamics of single neuron AP generation. Here we analyze how the AP generating mechanism determines the speed with which an ensemble of neurons can represent transient stochastic input signals. We analyze a generalization of the $\theta$-neuron, the normal form of the dynamics of Type-I excitable membranes. Using a novel sparse matrix representation of the Fokker-Planck equation, which describes the ensemble dynamics, we calculate the transmission functions for small modulations of the mean current and noise noise amplitude. In the high-frequency limit the transmission function decays as $\omega^{-\gamma}$, where $\gamma$ surprisingly depends on the phase $\theta_{s}$ at which APs are emitted. In a physiologically plausible regime up to 1kHz the typical response speed is, however, independent of the high-frequency limit and is set by the rapidness of the AP onset, as revealed by the full transmission function. In this regime modulations of the noise amplitude can be transmitted faithfully up to much higher frequencies than modulations in the mean input current. We finally show that the linear response approach used is valid for a large regime of stimulus amplitudes.

Affiliated with

Also associated with

No associations

Rating

Action Potential Onset Dynamics and the Response Speed of Neuronal Populations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Action Potential Onset Dynamics and the Response Speed of Neuronal Populations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Action Potential Onset Dynamics and the Response Speed of Neuronal Populations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-599589