Effects of elastic medium on the electric potential of neural tissue by using spherical bidomain Pasternak model

Muhammad Taj , Mohamed A. Khadimallah , Muzamal Hussain , Mohamed Elbahar , Muhammad Safeer , Sehar Asghar , Mohammed Mujalli , Amjad Qazaq , Monzoor Ahmad , Elimame Elaloui , Abdelouahed Tounsi

Abstract

An isotropic Pasternak-Like model is considered to elaborate the behavior of electric potential of neural tissue when immersed within elastic medium. Special attention is paid to the non dimensionlization of the parameters of the surrounding elastic medium. We found that shear layer potential per unit area and is the Winkler foundation-like constant, are two constants of Pasternak-like model and they actually effect on the potential of neural tissue. It is found that elastic medium affects the potential behavior of neural tissue. Elastic medium effect on the potential behavior of neural tissue is due to the Pasternak foundation parameters. Therefore the surrounding medium affects the potential of neural tissue during its transportation of functioning.

Key Words

Pasternak-Like model; electric potential; shear layer potential per unit area; Winkler foundation-like constant; neural tissue

Address

Muhammad Taj, Muhammad Safeer and Monzoor Ahmad — Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, 1300, Azad Kashmir, Pakistan
Mohamed A. Khadimallah, Mohamed Elbahar, Mohammed Mujalli and Amjad Qazaq — Prince Sattam Bin Abdulaziz University, College of Engineering, Al-Kharj, Saudi Arabia
Muzamal Hussain and Sehar Asghar — Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan
Elimame Elaloui — Laboratory of Materials Applications in Environment, Water and Energy LR21ES15, Faculty of Sciences, University of Gafsa, Tunisia
Abdelouahed Tounsi — YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea/ Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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