Modelagem matemática: absorção e eliminação da amoxicilina no corpo humano

Abstract

Pharmacokinetics is the area of pharmacology that studies the path taken by a drug in the body, including the processes of absorption and elimination. Since mathematical modeling is an important tool for representing and solving everyday problems, this study utilized mathematical modeling through a two-compartment pharmacokinetic model, applied to the drug Amoxicillin in a 500 mg administration in the human body. Based on this model, computational simulations were performed using numerical methods, in which results related to the concentration of Amoxicillin in the gastrointestinal and plasma compartments were obtained. These results demonstrated an exponential behavior in the elimination of the drug in the gastrointestinal compartment and an initially increasing behavior in the blood compartment, reaching its maximum dosage, followed by a decrease tending to zero. These results were compared to experimental data, which showed the efficiency of the modeling carried out, as the behavior of the numerical results closely matched the data found in the literature. It is hoped that this study will contribute to the advancement of scientific knowledge, where mathematical modeling can be enhanced in the pharmaceutical field, aiming to reduce invasive experiments.