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.
