Advances in nano research

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

  • Taj, Muhammad (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Khadimallah, Mohamed A. (Prince Sattam Bin Abdulaziz University, College of Engineering) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Elbahar, Mohamed (Prince Sattam Bin Abdulaziz University, College of Engineering) ;
  • Safeer, Muhammad (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Asghar, Sehar (Department of Mathematics, Govt. College University Faisalabad) ;
  • Mujalli, Mohammed (Prince Sattam Bin Abdulaziz University, College of Engineering) ;
  • Qazaq, Amjad (Prince Sattam Bin Abdulaziz University, College of Engineering) ;
  • Ahmad, Monzoor (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Elaloui, Elimame (Laboratory of Materials Applications in Environment, Water and Energy LR21ES15, Faculty of Sciences, University of Gafsa) ;
  • Tounsi, Abdelouahed (YFL (Yonsei Frontier Lab), Yonsei University)
  • Received : 2021.02.25
  • Accepted : 2021.03.02
  • Published : 2021.06.25
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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.

Keywords

Acknowledgement

This project was supported by the Deanship of Scientific Research at Prince Sattam Bin Abdulaziz University under the research project No 16794/01/2020.

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