Modeling Cholesterol and Treatment Effects on Drug Concentration in the Arterial Blood, Tissue, and Venous Blood Compartments

K. W.  Bunonyo; P. Z.  Awomi

doi:10.17605/cajmns.v3i4.897

K. W. Bunonyo MMDARG, Department of Mathematics and Statistics Fderal University Otuoke, Bayelsa State, Nigeria
P. Z. Awomi MMDARG, Department of Mathematics and Statistics Fderal University Otuoke, Bayelsa State, Nigeria

DOI: https://doi.org/10.17605/cajmns.v3i4.897

Keywords: Mathematical Models, Pharmacokinetics, Cholesterol, Drug Distribution, Ordinary Differential Equations

Abstract

Mathematical modeling is the most rapidly developing branch of pharmacokinetics right now. Along with traditional pharmacokinetic aspects such as drug absorption, distribution, metabolism, and elimination, cholesterol research is also increasingly involving mathematical modeling. Complex pharmacokinetic-dynamic models are becoming a more widely used tool in drug therapy optimization.This study is a companion piece to the earlier studies. The study investigates the effect of cholesterol on drug distribution in the body. It demonstrates the utility of the study's model in assessing the behavior of medication distribution in the body associated with high or low cholesterol levels, for example, by lowering or raising cholesterol levels with a treatment control. In this study, we extend previous work by introducing a constant cholesterol parameter and treatment control into the mathematical models in order to better understand the behavior of drugs administered in the human body over time. The analytical solutions for the drug concentrations in the bloodstream (using the arterial blood compartment as the source of drug administration) and tissues were obtained using the modified models that were solved using Laplace's method. The Wolfram Mathematica software was used to simulate the analytical results, and the simulation was to investigate the effect of cholesterol and treatment effects on drug concentration. The study showed that an increase in cholesterol and treatment affect the drug concentration. This study could be useful for scientists and pharmacists who are interested in caring for patients using drugs.

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