Equações diferencias aplicadas nas ciências farmacêuticas.

Abstract

The application of differential equations in the pharmaceutical sciences represents an essential mathematical approach to modeling and understanding complex phenomena related to pharmacokinetic and pharmacodynamic processes and drug formulation. This study explores how differential equations are used to describe the dynamics of absorption, distribution, metabolism and excretion of drugs, providing a deeper understanding of the therapeutic and toxicological effects. It also examines the mathematical modeling of mathematical modeling of controlled drug release systems and dose optimization, offering valuable insights into the development of more effective formulations. The analysis highlights significant contributions of these mathematical approaches, highlighting the importance of integration between pharmaceutical sciences and mathematics for innovative advances in pharmaceutical research and practice.