The Krasnow Institute for Advanced Study, of George Mason University

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Krasnow Institute > Monday Seminars > Abstracts

Stochastic Computing of Fractal Models of Neural Systems

Muhammad K. Habib
Department of Applied & Engineering Statistics, School of Information Technology & Engineering, George Mason University

In this presentation, the state of artificial and biological neurons is modeled as a solution of stochastic differential equations driven by Brownian, Brownian-Poisson, and fractal Brownian motions. We will discuss the extension of recent advances in statistical inference and its application to identify or predict important parameters in artificial as well as biological neural systems. These methods may be used in analysis of the activity of the membrane potential of real neurons recorded in vitro or in vivo as well as to provide advanced models of the states of artificial neurons in the modeling and analysis of more realistic neural networks. Some simulation results will be presented.

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