A rational quantitative approach to determine the best dosing regimen for a target therapeutic effect: a unified formalism for antibiotic evaluation.

The determination of an optimal dosing regimen is a critical step to enhance the drug efficacy and avoid toxicity. Rational dosing recommendations based on mathematical considerations are increasingly being adopted in the process of drug development and use. In this paper, we propose a quantitative approach to evaluate the efficacy of antibiotic agents. By integrating both pharmacokinetic (PK) and pharmacodynamic (PD) information, this approach gives rise to a unified formalism able to measure the cause-effect of dosing regimens. This new pharmaco-metric allows to cover a whole range of antibiotics, including the two well known concentration and time dependent classes, through the introduction of the Hill-dependency concept. As a direct fallout, our formalism opens a new path toward the bioequivalence evaluation in terms of PK and PD, which associates the in vivo drug concentration and the in vitro drug effect. Using this new approach, we succeeded to reveal unexpected, but relevant behaviors of drug performance when different drug regimens and drug classes are considered. Of particular notice, we found that the doses required to reach the same therapeutic effect, when scheduled differently, exhibit completely different tendencies for concentration and time dependent drugs. Moreover, we theoretically confirmed the previous experimental results of the superiority of the once daily regimen of aminoglycosides. The proposed methodology is appealing for its computational features and can easily be applicable to design fair clinical protocols or rationalize prescription decisions.