Prediction of Drug Concentration in Human Bloodstream using Adams-Bashforth-Moulton Method

Abstract

Pharmaceutical drugs are chemicals that are intended to avoid, assess, heal, or cure a disease. It is also commonly referred to as medication. When medicine is taken, it gets absorbed into the bloodstream and spread throughout the body and achieves its maximum concentration. Following this, the medication level gradually decreases as it is removed from the body. The concentration of the drug according to the time can be predicted by using mathematical concepts and pharmacokinetic models. The compartmental model is a fundamental type of model used in pharmacokinetics. The number of compartments required to describe the drug's action in the body is one-compartment, two-compartment, and multicompartment. These models can be used to forecast medication concentrations in the body over time. In this paper, we will be focussing on the one-compartment model and Adams Bashforth-Moulton method. Adams Method is one of the linear multistep techniques that is applied to solve numerical ordinary differential equations that contain predictor method (Adams Bashforth) and corrector method (Adams Moulton). The integrated development environment used for the computation and graphing is MATLAB. The expected result for this report is that we will be able to predict the concentration of the chosen drugs over time and how long a certain person needs to wait before donating blood safely.