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A Simplified Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression

Published online by Cambridge University Press:  03 June 2015

Huaxiong Huang ,
Robert M. Miura  and
Wei Yao
Huaxiong Huang*
Affiliation:
Department of Mathematics and Statistics, York University, Toronto, Ontario M3J 1P3, Canada Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, Newark, NJ 07102, USA
Robert M. Miura*
Affiliation:
Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, Newark, NJ 07102, USA Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102, USA
Wei Yao*
Affiliation:
Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China
*
Corresponding author. URL: www.math.yorku.ca/∼hhuang Email: hhuang@yorku.ca
Email: miura@njit.edu
Email: weiyao@fudan.edu.cn
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Abstract

In this paper, we construct a simplified neuronal model that is capable of simulating the instigation of cortical spreading depression (CSD) and propagation of a CSD wave. Our model is a simplification and extension of a single neuron model proposed in the literature for studying the instigation of CSD. Using the simplified neuronal model, we construct a network of these simplified neurons. This network model shows that the propagation of a CSD wave occurs naturally after it is instigated electrically or chemically. Although the model is simple, the speed of the CSD wave predicted by our model is consistent with experimentally observed values. Finally, our model allows us to investigate the effects of specific ion channels on the spread of a CSD wave.

Keywords

34A3334A3492C2092C4297M60Cortical spreading depressionneuronal modelnetworknumerical simulation
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 3 , Issue 6 , December 2011 , pp. 759 - 773
Copyright
Copyright © Global-Science Press 2011

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