Mathematical Model for Ions Transport Optimization in an Animal Cell Using MATLAB

  • K. J. M. Karimi
  • T. Rotich
Keywords: Optimization, Homeostasis, Partial Differential Equations, Mathematical Modeling, Simulation, Membrane Potential, Optimal Ion Concentration, Ion Channel, Finite Difference Method

Abstract

The increasing world population has raised significant concerns about matching food production to demand, prompting extensive research in scientific fields aimed at enhancing plant and animal productivity. However, some of these advances have introduced unintended consequences, such as uncontrolled cell growth that leads to cancer. Effective regulation of cell size is essential to maintaining organismal health. This study focuses on the utilization of a numerical method to develop a mathematical model that optimizes ion transport within an animal cell as a mechanism to ensure a physiologically healthy cell. Through this model, optimal ion concentrations were identified using MATLAB-SIMULINK. The results were validated using experimental data to ensure that they promote healthy cell growth and stability. The results provide valuable insights for treating disorders associated with abnormal cell growth initiated by unregulated ions concentration. This research contributes to understanding cellular homeostasis and lays the groundwork for future bioengineering applications.

Published
2025-08-13
How to Cite
Karimi, K. J. M., & Rotich, T. (2025). Mathematical Model for Ions Transport Optimization in an Animal Cell Using MATLAB. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 11(2), 62 - 73. Retrieved from https://ijmso.unilag.edu.ng/article/view/2705
Section
Articles