Special Session 40: Applications of dynamical systems in medicine and biology

A little bit about math models for drug concentration in the body
Jacson Simsen
Institute of Mathematics and Computing, Federal University of Itajub\`a, Brazil
Brazil
Co-Author(s):    Jacson Simsen
Abstract:
Title: A little bit about math models for drug concentration in the body Jacson Simsen-IMC-UNIFEI - Brazil e-mail: jacson@unifei.edu.br Abstract: In this talk we will see an application of dynamical systems in medicine. A theoretical approach is done to propose math models to describe the drug concentration inside a human body in a medical treatment. Considering that the eliminitation could be nonlinear and the inaccuracy to determine the constant of elimination rate in the autonomous model, it is proposed that the elimination rate should be described by a bounded function and so the model becomes a nonlinear nonautonomous equation. Reference: J. Simsen, Nonlinear nonautonomous math models for drug concentration in the body, Mathematics in Engineering, Science and Aerospace, 2024, 15 (2), 579-589. Acknowledgements: Thanks to FAPEMIG for supporting my research.