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Relationship between loading dose and infusion rate to achieve any fraction of the steady-state level in any compartment model
Institution:1. Faculté de Pharmacie, Université de Montréal, Montréal, Canada;2. Service de Médecine Intensive–Réanimation, APHM, Hôpital Nord, Marseille, France;3. CEReSS–Center for Studies and Research on Health Services and Quality of Life EA3279, Aix-Marseille University, Marseille, France;4. Aix-Marseille Université, IRD, APHM, MEPHI, Marseille, France;5. IHU Méditerranée Infection, Marseille, France;6. Aix-Marseille Univ., APHM, INSERM, CIC CPCET Service de Pharmacologie Clinique et Pharmacovigilance, INS Inst Neurosci Syst, Marseille, France
Abstract:When a drug is infused at a constant rate K0, the time necessary for the concentration to reach a satisfying threshold of effectiveness may be too long. To achieve this level faster, it is useful to give simultaneously a dose D, of the same drug by intravenous injection. This paper proposes the calculation, as a function of K0 and model parameters, of the loading dose D necessary to reach, in a time T, any fraction of the asymptotic value of the amount of drug in a compartment receiving a constant rate infusion, for any n-compartment model. As an example, the expression of D for mammillary and catenary pharmacokinetic models is derived.
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