This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 360
Type: Contributed
Date/Time: Tuesday, August 3, 2010 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #309403
Title: The Effect of Noise on the Fitzhugh-Nagumo Neuronal Model
Author(s): Charles Eugene Smith*+ and Mamiko Arai
Companies: North Carolina State University and North Carolina State University
Address: Dept. of Statistics, Biomath Program, Raleigh, NC, 27695-8203,
Keywords: neuron ; first passage time ; level crossings ; Poisson process ; stochastic differential equations

A nonlinear system of differential equations known as the Fitzhugh-Nagumo (FN) is used to describe the physiological state of a nerve membrane. Two different kinds of noise are added to the FN model to investigate the effect of noise on the membrane. They are Gaussian white noise and Poisson noise. Gaussian white noise represents many small synaptic inputs and Poisson noise represents a few large synaptic inputs. The non-oscillatory region before and after the bifurcation region is used to distinguish between Wiener vs Poisson inputs by a hypothesis test about the mean number of level crossings. The null hypothesis is the expected level crossings of the equilbrium state by a time sampled linearized FN set of differential equations with Wiener input. The test performs well in rejecting non Wiener inputs in simulation studies, both in the linearized and nonlinear F-N model.

The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.

Back to the full JSM 2010 program

2010 JSM Online Program Home

For information, contact or phone (888) 231-3473.

If you have questions about the Continuing Education program, please contact the Education Department.