Biased computation of probability of target attainment for antimicrobial drugs

Abstract The medical literature is replete with articles in which there is confusion between “free concentration” and “unbound fraction” (fu), which is the ratio of free to total plasma concentration. The lack of clarity in distinguishing between these two terms has led to biased computations, erron...

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Main Authors: Pierre‐Louis Toutain, Peggy Gandia, Ludovic Pelligand, Aude A. Ferran, Peter Lees, Alain Bousquet‐Mélou, Didier Concordet
Format: Article
Language:English
Published: Wiley 2023-05-01
Series:CPT: Pharmacometrics & Systems Pharmacology
Online Access:https://doi.org/10.1002/psp4.12929
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author Pierre‐Louis Toutain
Peggy Gandia
Ludovic Pelligand
Aude A. Ferran
Peter Lees
Alain Bousquet‐Mélou
Didier Concordet
author_facet Pierre‐Louis Toutain
Peggy Gandia
Ludovic Pelligand
Aude A. Ferran
Peter Lees
Alain Bousquet‐Mélou
Didier Concordet
author_sort Pierre‐Louis Toutain
collection DOAJ
description Abstract The medical literature is replete with articles in which there is confusion between “free concentration” and “unbound fraction” (fu), which is the ratio of free to total plasma concentration. The lack of clarity in distinguishing between these two terms has led to biased computations, erroneous interpretations, and misleading recommendations. The problems are highlighted in this paper, taking the example of calculation of Probability of Target Attainment (PTA). This metric is used to propose pharmacokinetic/pharmacodynamic (PK/PD) breakpoints required for the interpretation of Antimicrobial Susceptibility Testing. Based on Monte Carlo simulations of the PK/PD index, area under the unbound concentration time curve/minimum inhibitory concentration (fAUC/MIC), computation of PTA from total plasma concentrations scaled by fu ineluctably leads to biased estimates. The bias is greater if the variability associated with fu is added, instead of removing it during this scaling. The explanation for the bias is that total plasma drug concentrations are intrinsically more variable than the corresponding free concentrations. This is due to the variability of antimicrobial binding for total, but not for free plasma concentrations. In consequence, the greater variability always leads to underestimation of the PK/PD cutoff (i.e., the critical MIC that is guaranteed for a given percentile of the population). A further consequence is an increase in calculated dosage required to attain the targeted quantile. This erroneous approach, of using free antimicrobial drug fraction, is not limited to the derivation of PK/PD cutoff, but may also have consequences for antimicrobials drug safety in clinical patients.
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spelling doaj.art-4edc640fe589474b8edcb9a70005bd162023-05-19T06:03:15ZengWileyCPT: Pharmacometrics & Systems Pharmacology2163-83062023-05-0112568168910.1002/psp4.12929Biased computation of probability of target attainment for antimicrobial drugsPierre‐Louis Toutain0Peggy Gandia1Ludovic Pelligand2Aude A. Ferran3Peter Lees4Alain Bousquet‐Mélou5Didier Concordet6INTHERES, Université de Toulouse, INRAE, ENVT Toulouse FranceINTHERES, Université de Toulouse, INRAE, ENVT Toulouse FranceThe Royal Veterinary College University of London London UKINTHERES, Université de Toulouse, INRAE, ENVT Toulouse FranceThe Royal Veterinary College University of London London UKINTHERES, Université de Toulouse, INRAE, ENVT Toulouse FranceINTHERES, Université de Toulouse, INRAE, ENVT Toulouse FranceAbstract The medical literature is replete with articles in which there is confusion between “free concentration” and “unbound fraction” (fu), which is the ratio of free to total plasma concentration. The lack of clarity in distinguishing between these two terms has led to biased computations, erroneous interpretations, and misleading recommendations. The problems are highlighted in this paper, taking the example of calculation of Probability of Target Attainment (PTA). This metric is used to propose pharmacokinetic/pharmacodynamic (PK/PD) breakpoints required for the interpretation of Antimicrobial Susceptibility Testing. Based on Monte Carlo simulations of the PK/PD index, area under the unbound concentration time curve/minimum inhibitory concentration (fAUC/MIC), computation of PTA from total plasma concentrations scaled by fu ineluctably leads to biased estimates. The bias is greater if the variability associated with fu is added, instead of removing it during this scaling. The explanation for the bias is that total plasma drug concentrations are intrinsically more variable than the corresponding free concentrations. This is due to the variability of antimicrobial binding for total, but not for free plasma concentrations. In consequence, the greater variability always leads to underestimation of the PK/PD cutoff (i.e., the critical MIC that is guaranteed for a given percentile of the population). A further consequence is an increase in calculated dosage required to attain the targeted quantile. This erroneous approach, of using free antimicrobial drug fraction, is not limited to the derivation of PK/PD cutoff, but may also have consequences for antimicrobials drug safety in clinical patients.https://doi.org/10.1002/psp4.12929
spellingShingle Pierre‐Louis Toutain
Peggy Gandia
Ludovic Pelligand
Aude A. Ferran
Peter Lees
Alain Bousquet‐Mélou
Didier Concordet
Biased computation of probability of target attainment for antimicrobial drugs
CPT: Pharmacometrics & Systems Pharmacology
title Biased computation of probability of target attainment for antimicrobial drugs
title_full Biased computation of probability of target attainment for antimicrobial drugs
title_fullStr Biased computation of probability of target attainment for antimicrobial drugs
title_full_unstemmed Biased computation of probability of target attainment for antimicrobial drugs
title_short Biased computation of probability of target attainment for antimicrobial drugs
title_sort biased computation of probability of target attainment for antimicrobial drugs
url https://doi.org/10.1002/psp4.12929
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