Mathematical modeling of active contraction of the human cardiac myocyte: A review

Fisal Asiri; Md Irfanul Haque Siddiqui; Masood Ashraf Ali; Tabish Alam; Dan Dobrotă; Radu Chicea; Robert Daniel Dobrotă

doi:10.1016/j.heliyon.2023.e20065

Mathematical modeling of active contraction of the human cardiac myocyte: A review

Heliyon. 2023 Sep 12;9(9):e20065. doi: 10.1016/j.heliyon.2023.e20065. eCollection 2023 Sep.

Authors

Fisal Asiri¹, Md Irfanul Haque Siddiqui², Masood Ashraf Ali³, Tabish Alam⁴, Dan Dobrotă⁵, Radu Chicea⁶, Robert Daniel Dobrotă⁷

Affiliations

¹ Department of Mathematics, Taibah University, Medina, 42353, Saudi Arabia.
² Mechanical Engineering Department, King Saud University, Riyadh, 11421, Saudi Arabia.
³ Department of Industrial Engineering, College of Engineering, Prince Sattam Bin Abdulaziz University, Al-Kharj, 16273, Saudi Arabia.
⁴ CSIR-Central Building Research Institute, Roorkee, 247667, India.
⁵ Faculty of Engineering, Lucian Blaga University of Sibiu, 550024, Sibiu, Romania.
⁶ Faculty of Medicine, Lucian Blaga University of Sibiu, 550024, Sibiu, Romania.
⁷ Carol Davila University of Medicine and Pharmacy Bucharest, Romania.

Abstract

Background and objective: In this present research paper, a mathematical model has been developed to study myocyte contraction in the human cardiac muscle, using the Land model. Different parts of the human heart with a focus on the composition of the myocyte cells have been explored numerically to enabling us to determine the interaction of various parameters in the heart muscle. The main objective of the work is to direct the study of the Land model, which has been exploited to simulate the contraction of real human myocytes.

Methods: Mathematical models has been developed based on the Hill model and Huxley model. Myocyte contraction for different scenarios, such as in isometric tension and isotonic tension have been studied.

Results: It is found that increase in stretch, the peak active tension increases, in line with well-established length-dependent tension generation. Five parameters are selected: [Ca²⁺]_T50, T_ref, TRPN50, β_0, and β₁, which have been varied in between the range of -50%-100%, to examine the isometric effects of each parameter on the behavior of the tension developed in the intact myocyte cells, with the most sensitive parameter being [Ca²⁺]_T50.

Conclusion: In conclusion, it is found that the Land model provides a good platform for the analysis of the active contraction of the human cardiac myocyte.

Keywords: Active contraction; Cardiac muscle; Heart; Mathematical modeling; Mathematical physiology; Myocyte.

Publication types

Review