Nonlinear Elimination of Pharmaceutical Substances in Single Compartment Pharmacokinetic Models

Abstract

Pharmacokinetic modeling is a mathematical representation of the behavior of a pharmaceutical substance in the presence or anatomical and topographical area, created to describe pharmacological or refined kinetic characteristics. Pharmacokinetics is the science of basic processes observed over time and approaching the action of clinical manifestations. These nutritional patterns model biological processes, refer to the kinetic behavior of a drug after it has been introduced into the body, leading to a better understanding of its natural effects. Mathematical modeling is currently preferred, used in the study of research and biochemical systems. The spectrum of its use is from non-compartmental to large-scale multichamber models. In the case of compartmental models ("block model", "compartment model"), mass balance equations are used to represent each compartment. The number of compartments in the models depends on the rate of drug distribution over different topographic areas of the body. Most studies use one- or two-chamber models. When a substance is excreted from the body, its concentration in the systemic circulation and in all tissues decreases at the same rate due to the rapid distribution of distribution. This article is spent on the components of a one-component pharmacokinetic model specifically designed for various drug elimination models. The single-compartment open model is a simple way to describe the distribution and excretion of drug compounds from the body. This model assumes that drugs can enter or leave the body (an "open" model), and the whole body appears as a whole.