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Mechanics of anisotropic cardiac muscles embedded in viscoelastic medium

  • Taj, Muhammad (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Khadimallah, Mohamed Amine (Civil Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Ghandourah, E. (Department of Nuclear Engineering, Faculty of Engineering, King Abdulaziz University) ;
  • Safeer, Muhammad (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Elbahar, Mohamed (Civil Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University) ;
  • Khan, Manzoor (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Elimame, Elaloui (Laboratory of Materials Applications in Environment, Water and Energy LR21ES15, Faculty of Sciences, University of Gafsa)
  • Received : 2021.02.25
  • Accepted : 2021.04.26
  • Published : 2021.07.25
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Abstract

In the present work the author incorporated the surrounding medium with Hodgkin Huxley model to account the effect of surroundings on the flow of current in cardiac muscles fibers. The Hodgkin Huxley Kelvin like model is developed here and then the governing equations are solved by appropriate mathematical methods and the obtained results are compared with the previous experimental findings. Through obtained solutions, we check the mechanical properties in actual environment of cardiac muscles fibres and compare our findings with experimental results. Previous Hodgkin Huxley model did not give any idea about the medium, in which the cardiac muscles are immersed. The new developed model accounts the effect of medium efficiently on the current flow along with fiber's stimulation in cardiac muscles.

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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