The application of Pennes’ bioheat equation to determine the effect of temperature on drug diffusion

Abstract

In this work, we discuss how temperature (internal heat) affects medication distribution between the stomach and circulatory compartments. The study shows that the behavior of medication distribution is related to high or low temperatures in the compartments under examination (the stomach and bloodstream). Here, we attempted to comprehend the behavior of a medicine supplied to the body over time by solving the models set up to mimic the system. The model (a system of ODEs) was solved both analytically and computationally using Wolfram Mathematica. The results reveal that as the temperature increases, the medication delivered into the system diffuses quicker between the compartments, and as the temperature decreases, the medication diffuses slower, demonstrating the peculiarity of this study effort.