Mathematical modelling accounting for discrepancies between blood levels and pharmacodynamic effects of a drug. Application to the numerical optimization of tertatolol.

In this paper we propose a non-linear model for explaining the relation between doses, blood levels and pharmacodynamic effects. Several models are examined and a functional relation (without derivatives or integrals) is retained. From there the medical system is optimized by using optimal control methods. In practice, optimal doses and times are numerically determined for the drug tertatolol.