Using MATLAB graphical user interface design and stability analysis of the developed mathematical model of the human cardiovascular-respiratory system for homeostasis testing

Abstract

Homeostasis is the body’s ability to maintain internal stability despite changes in external conditions. For the cardiovascular-respiratory system, this involves regulating blood pressure, oxygen, and carbon dioxide levels to ensure proper body function. Disruptions can lead to health issues. This research focuses on the stability analysis of a mathematical model of the cardiovascular-respiratory system to test homeostasis using MATLAB App Designer and optimal control strategies. The study assesses homeostasis by evaluating the average model variables, which fall within the normal range. The optimal control strategy aims to find the best model parameters to achieve desired objectives while maintaining homeostasis. By com paring simulated system behavior under optimal control with real data, the model parameters are adjusted iteratively for a satisfactory fit. The GUI’s output, which is graphical, helps identify healthy and unhealthy individuals. For healthy input data, the output converges to an equilibrium point over time, while for unhealthy data, it diverges. This demonstrates the GUI’s effectiveness in handling input data and reflecting health status accurately. The equi librium point serves as a reference, guiding the GUI’s behavior and ensuring responsiveness to various inputs. This can aid in decision-making, patient monitoring, and understanding treatment effects. The study suggests that the GUI’s mathematical model allows users to input different disease parameters or scenarios and observe potential outcomes. The findings indicate the importance of a well-designed GUI in managing cardiovascular-respiratory system data for health assessments.