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Abstract Details

Activity Number: 119
Type: Topic Contributed
Date/Time: Monday, July 30, 2012 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistics in Epidemiology
Abstract - #306009
Title: Statistical Aspects of the Morris-Lecar Model of Neural Activity
Author(s): Satish Iyengar*+
Companies: University of Pittsburgh
Address: Dept. of Statistics, Pittsburgh, PA, 15260, United States
Keywords: spike train ; diffusion ; estimation
Abstract:

Stochastic models of neural activity are a well developed application in biology. Diffusion models for integrate-and-fire (I-F) neurons hold a prominent place because of the many synaptic inputs to a neuron, and because these models arise out of noisy versions of differential equations for the neural membrane's electrical properties. Ditlevson and Greenwood recently showed that the Morris-Lecar model, which is regarded as more realistic than earlier I-F models, is well approximated by a bivariate Ornstein-Uhlenbeck process. I will describe the parameter estimation for this approximation and preliminary results for the Morris-Lecar model itself.


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