Title: Mathematical modelling of brain bioelectricity: an insightful tutorial

Authors: Gehan Abouelseoud; Nour Ismail; Amin Shoukry; Jaidaa Mekky

Addresses: Faculty of Engineering, Electrical Engineering Department, Alexandria University, Alexandria 21544, Egypt ' Faculty of Engineering, Electrical Engineering Department, Alexandria University, Alexandria 21544, Egypt ' Computer Science and Engineering Department, Egypt Japan University of Science and Technology, P.O. Box 179, New Borg El-Arab City, Alexandria, Egypt ' Faculty of Medicine, Neuropsychiatry Department, Alexandria University, Alexandria 21131, Egypt

Abstract: Mathematical modelling of brain bioelectricity is important for different applications ranging from medicine to engineering sciences. This tutorial aims to offer a global view of available modelling approaches and their suitability for different applications. It is written in a way that is intended to equally help engineers (with low biology background) and medical practitioners (with low mathematical background) in getting a quick grasp of the subject. Although, the tutorial focuses on brain bioelectricity, reading it can give insight into basic concepts which are essential for the mathematical modelling of any biological process in general.

Keywords: neuron compartmental models; Poisson equation; effective medium; FEM; finite element method; volume conductor; mathematical modelling; biological processes; brain bioelectricity; tutorial.

DOI: 10.1504/IJCBDD.2016.080104

International Journal of Computational Biology and Drug Design, 2016 Vol.9 No.4, pp.319 - 344

Received: 01 Feb 2016
Accepted: 17 Mar 2016

Published online: 28 Oct 2016 *

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