Study of digoxin concentrations using uncertain differential equations

Pharmacokinetics studies the time course of drug concentrations in body compartments. To model dynamic noises in biological systems, several uncertain pharmacokinetic models based on uncertain differential equations were proposed. Since these models all view the body as one compartment, they are not suitable to describe drug kinetics with two compartment characteristics. Motivated by this fact, this paper deduces a two compartment pharmacokinetic model using uncertain differential equation. Based on the proposed model, essential pharmacokinetic indexes are investigated. A parameter estimation method is also provided to estimate unknown parameters in the proposed model. Furthermore, real data analyses using digoxin concentrations are used to verify the effectiveness of the proposed methodology.