Journal of Applied Mathematics
Volume 2013 (2013), Article ID 792507, 11 pages
http://dx.doi.org/10.1155/2013/792507
Research Article

Analysis and Control of Epileptiform Spikes in a Class of Neural Mass Models

Key Lab of Industrial Computer Control Engineering of Hebei Province, Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China

Received 4 February 2013; Accepted 15 April 2013

Academic Editor: Constantinos Siettos

Copyright © 2013 Xian Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The problem of analyzing and controlling epileptiform spikes in a class of neural mass models is concerned with. Since the measured signals are always contaminated by measurement noise, an algebraic estimation method is utilized to observe the state from the noisy measurement. The feedback control is constructed via the estimated state. The feasibility of using such a strategy to control epileptiform spikes in a regular network of coupled neural populations is demonstrated by simulations. In addition, the influence of the type of the controlled populations, the number of the controlled populations, and the control gain is investigated in details.