Original scientific paper

https://doi.org/10.17559/TV-20150531103426

A new bifurcation parameter in a modified Huber-Braun model

Mahnaz Asgharpour ; Faculty of Electrical and Computer Engineering, Department of Control and System Design, Science and Research Branch, Islamic Azad University, Sciences & Research Branch, Hesarak, Tehran 1477893855, Iran
Mehdi Sedighi ; Department of Computer Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15914, Iran
Mohammad Reza Jahed Motlagh ; Department of Computer Engineering, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran

Abstract

Thermally sensitive neurons represent a bursting-spiking activity that is indicated by rapid repetitive spiking trains of action potentials pursued by dormant periods. Synchronization of such behavior in a network of coupled spiking neurons such as the epileptogenic zone in the brain may cause some neurological disorders such as epileptic seizures. This paper introduces a new approach for predicting the seizure onset in a model of an epileptic neuron. The parameters which are used for simulations have been selected in such a way that they would be potentially applicable in the non-invasive brain stimulation approaches such as repetitive transcranial magnetic stimulation (rTMS). In this regard, a modified Huber-Braun model of a thermally sensitive neuron exposed to external rTMS-induced voltages is presented. Applying the chaos theory, the bifurcation diagram of a modified Huber-Braun model with a new bifurcation parameter is used to estimate the time at which the bifurcation takes place whereby allowing a more accurate prediction of the seizure onset based on the modified model.

Keywords

bifurcation theory; Huber-Braun model; seizure

Hrčak ID:

179845

URI

https://hrcak.srce.hr/179845

Publication date:

14.4.2017.

Article data in other languages: croatian

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