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Zwep LB, Guo T, Nagler T, Knibbe CAJ, Meulman JJ, van Hasselt JGC. Virtual Patient Simulation Using Copula Modeling. Clin Pharmacol Ther 2024; 115:795-804. [PMID: 37946529 DOI: 10.1002/cpt.3099] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/27/2023] [Accepted: 10/31/2023] [Indexed: 11/12/2023]
Abstract
Virtual patient simulation is increasingly performed to support model-based optimization of clinical trial designs or individualized dosing strategies. Quantitative pharmacological models typically incorporate individual-level patient characteristics, or covariates, which enable the generation of virtual patient cohorts. The individual-level patient characteristics, or covariates, used as input for such simulations should accurately reflect the values seen in real patient populations. Current methods often make unrealistic assumptions about the correlation between patient's covariates or require direct access to actual data sets with individual-level patient data, which may often be limited by data sharing limitations. We propose and evaluate the use of copulas to address current shortcomings in simulation of patient-associated covariates for virtual patient simulations for model-based dose and trial optimization in clinical pharmacology. Copulas are multivariate distribution functions that can capture joint distributions, including the correlation, of covariate sets. We compare the performance of copulas to alternative simulation strategies, and we demonstrate their utility in several case studies. Our work demonstrates that copulas can reproduce realistic patient characteristics, both in terms of individual covariates and the dependence structure between different covariates, outperforming alternative methods, in particular when aiming to reproduce high-dimensional covariate sets. In conclusion, copulas represent a versatile and generalizable approach for virtual patient simulation which preserve relationships between covariates, and offer an open science strategy to facilitate re-use of patient data sets.
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Affiliation(s)
- Laura B Zwep
- Division of Systems Pharmacology and Pharmacy, Leiden Academic Centre for Drug Research, Leiden University, Leiden, The Netherlands
| | - Tingjie Guo
- Division of Systems Pharmacology and Pharmacy, Leiden Academic Centre for Drug Research, Leiden University, Leiden, The Netherlands
| | - Thomas Nagler
- Department of Statistics, Ludwig Maximilian University of Munich, Munich, Germany
| | - Catherijne A J Knibbe
- Division of Systems Pharmacology and Pharmacy, Leiden Academic Centre for Drug Research, Leiden University, Leiden, The Netherlands
- Department of Clinical Pharmacy, St. Antonius Hospital, Nieuwegein, The Netherlands
| | - Jacqueline J Meulman
- LUXs Data Science, Leiden, The Netherlands
- Department of Statistics, Stanford University, Stanford, California, USA
| | - J G Coen van Hasselt
- Division of Systems Pharmacology and Pharmacy, Leiden Academic Centre for Drug Research, Leiden University, Leiden, The Netherlands
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Camargo MS, Mistro S, Oliveira MG, Passos LCS. Association between increased mortality rate and antibiotic dose adjustment in intensive care unit patients with renal impairment. Eur J Clin Pharmacol 2018; 75:119-126. [PMID: 30276417 DOI: 10.1007/s00228-018-2565-7] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/30/2018] [Accepted: 09/24/2018] [Indexed: 10/28/2022]
Abstract
PURPOSE Adjusting the antibiotic dose based on an estimation of the glomerular filtration rate (eGFR) may result in subdosing, which may actually be significantly more problematic for intensive care unit (ICU) patients than not adjusting the dose. The aim of this study was to assess the outcomes of antibiotic dose adjustment in ICU patients with renal impairment. METHODS A retrospective cohort study was conducted in adult patients admitted to an ICU of a Brazilian hospital from January 2014 to December 2015. The eGFR was determined using Cockcroft-Gault and Modified Diet in Renal Disease equations for each day of hospitalization. Treatment failure was defined based on the clinical, laboratory, and radiological criteria. RESULTS A total of 126 patients were assessed to meet the inclusion criteria and subsequently enrolled in the study (19.9% of patients admitted to the ICU during the study period). Of the 168 opportunities for dose adjustment, 99 (58.9%) adjustments were made. The mean eGFR in the group with dose adjustment was lower than that in the group without dose adjustment (38.5 vs. 40.7 mL/min/1.73 m2, respectively). The treatment failure rate among patients with dose adjustment and those treated with the usual dose was 59.3 and 38.9%, respectively (p = 0.023), and the mortality rates in the respective groups were 74.1 and 55.5% (p = 0.033). An association between dose adjustment and treatment failure/mortality rates was also observed in the multivariate analysis including the prognostic score. CONCLUSIONS In ICU patients with renal impairment, adjustments in antibiotic dose based on eGFR, significantly increased the risk of treatment failure and death.
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Affiliation(s)
- Marianne Silveira Camargo
- Post-Graduate Program in Medicine and Health, Federal University of Bahia, Rua Padre Feijó, S/N, Canela, Salvador, Bahia, Brazil. .,, Rua Rio de Contas, n. 350, Candeias, Vitória da Conquista, 45029-094, Bahia, Brazil.
| | - Sóstenes Mistro
- Post-Graduate Program in Public Health, Multidisciplinary Institute of Health, Federal University of Bahia, Rua Rio de Contas, 58, Vitória da Conquista, Bahia, Brazil
| | - Márcio Galvão Oliveira
- Post-Graduate Program in Public Health, Multidisciplinary Institute of Health, Federal University of Bahia, Rua Rio de Contas, 58, Vitória da Conquista, Bahia, Brazil
| | - Luiz Carlos Santana Passos
- Post-Graduate Program in Medicine and Health, Federal University of Bahia, Rua Padre Feijó, S/N, Canela, Salvador, Bahia, Brazil
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Brussee JM, Calvier EAM, Krekels EHJ, Välitalo PAJ, Tibboel D, Allegaert K, Knibbe CAJ. Children in clinical trials: towards evidence-based pediatric pharmacotherapy using pharmacokinetic-pharmacodynamic modeling. Expert Rev Clin Pharmacol 2016; 9:1235-44. [PMID: 27269200 DOI: 10.1080/17512433.2016.1198256] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023]
Abstract
INTRODUCTION In pediatric pharmacotherapy, many drugs are still used off-label, and their efficacy and safety is not well characterized. Different efficacy and safety profiles in children of varying ages may be anticipated, due to developmental changes occurring across pediatric life. AREAS COVERED Beside pharmacokinetic (PK) studies, pharmacodynamic (PD) studies are urgently needed. Validated PKPD models can be used to derive optimal dosing regimens for children of different ages, which can be evaluated in a prospective study before implementation in clinical practice. Strategies should be developed to ensure that formularies update their drug dosing guidelines regularly according to the most recent advances in research, allowing for clinicians to integrate these guidelines in daily practice. Expert commentary: We anticipate a trend towards a systems-level approach in pediatric modeling to optimally use the information gained in pediatric trials. For this approach, properly designed clinical PKPD studies will remain the backbone of pediatric research.
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Affiliation(s)
- Janneke M Brussee
- a Division of Pharmacology, Leiden Academic Centre for Drug Research , Leiden University , Leiden , The Netherlands
| | - Elisa A M Calvier
- a Division of Pharmacology, Leiden Academic Centre for Drug Research , Leiden University , Leiden , The Netherlands
| | - Elke H J Krekels
- a Division of Pharmacology, Leiden Academic Centre for Drug Research , Leiden University , Leiden , The Netherlands
| | - Pyry A J Välitalo
- a Division of Pharmacology, Leiden Academic Centre for Drug Research , Leiden University , Leiden , The Netherlands
| | - Dick Tibboel
- b Intensive Care and Department of Surgery , Erasmus MC-Sophia Children's Hospital , Rotterdam , The Netherlands
| | - Karel Allegaert
- b Intensive Care and Department of Surgery , Erasmus MC-Sophia Children's Hospital , Rotterdam , The Netherlands.,c Department of Development and Regeneration , KU Leuven , Leuven , Belgium
| | - Catherijne A J Knibbe
- a Division of Pharmacology, Leiden Academic Centre for Drug Research , Leiden University , Leiden , The Netherlands.,d Department of Clinical Pharmacy , St. Antonius Hospital , Nieuwegein , The Netherlands
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van Hasselt JGC, Rizk ML, Lala M, Chavez-Eng C, Visser SAG, Kerbusch T, Danhof M, Rao G, van der Graaf PH. Pooled population pharmacokinetic model of imipenem in plasma and the lung epithelial lining fluid. Br J Clin Pharmacol 2016; 81:1113-23. [PMID: 26852277 PMCID: PMC4876184 DOI: 10.1111/bcp.12901] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/29/2015] [Revised: 01/08/2016] [Accepted: 02/02/2016] [Indexed: 01/01/2023] Open
Abstract
AIMS Several clinical trials have confirmed the therapeutic benefit of imipenem for treatment of lung infections. There is however no knowledge of the penetration of imipenem into the lung epithelial lining fluid (ELF), the site of action relevant for lung infections. Furthermore, although the plasma pharmacokinetics (PK) of imipenem has been widely studied, most studies have been based on selected patient groups. The aim of this analysis was to characterize imipenem plasma PK across populations and to quantify imipenem ELF penetration. METHODS A population model for imipenem plasma PK was developed using data obtained from healthy volunteers, elderly subjects and subjects with renal impairment, in order to identify predictors for inter-individual variability (IIV) of imipenem PK. Subsequently, a clinical study which measured plasma and ELF concentrations of imipenem was included in order to quantify lung penetration. RESULTS A two compartmental model best described the plasma PK of imipenem. Creatinine clearance and body weight were included as subject characteristics predictive for IIV on clearance. Typical estimates for clearance, central and peripheral volume, and inter-compartmental clearance were 11.5 l h(-1) , 9.37 l, 6.41 l, 13.7 l h(-1) , respectively (relative standard error (RSE) <8%). The distribution of imipenem into ELF was described using a time-independent penetration coefficient of 0.44 (RSE 14%). CONCLUSION The identified lung penetration coefficient confirms the clinical relevance of imipenem for treatment of lung infections, while the population PK model provided insights into predictors of IIV for imipenem PK and may be of relevance to support dose optimization in various subject groups.
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Affiliation(s)
- J G Coen van Hasselt
- Division of Pharmacology, Cluster Systems Pharmacology, Leiden Academic Centre for Drug Research, Leiden University, Leiden, The Netherlands
| | | | | | | | | | | | - Meindert Danhof
- Division of Pharmacology, Cluster Systems Pharmacology, Leiden Academic Centre for Drug Research, Leiden University, Leiden, The Netherlands
| | - Gauri Rao
- University at Buffalo, Buffalo, New York, USA
| | - Piet H van der Graaf
- Division of Pharmacology, Cluster Systems Pharmacology, Leiden Academic Centre for Drug Research, Leiden University, Leiden, The Netherlands
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van Hasselt JGC, van Eijkelenburg NKA, Beijnen JH, Schellens JHM, Huitema ADR. Design of a drug-drug interaction study of vincristine with azole antifungals in pediatric cancer patients using clinical trial simulation. Pediatr Blood Cancer 2014; 61:2223-9. [PMID: 25175364 DOI: 10.1002/pbc.25198] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 02/18/2014] [Accepted: 07/01/2014] [Indexed: 01/28/2023]
Abstract
BACKGROUND The aim of the current work was to perform a clinical trial simulation (CTS) analysis to optimize a drug-drug interaction (DDI) study of vincristine in children who also received azole antifungals, taking into account challenges of conducting clinical trials in this population, and, to provide a motivating example of the application of CTS in the design of pediatric oncology clinical trials. PROCEDURE A pharmacokinetic (PK) model for vincristine in children was used to simulate concentration-time profiles. A continuous model for body surface area versus age was defined based on pediatric growth curves. Informative sampling time windows were derived using D-optimal design. The CTS framework was used to different magnitudes of clearance inhibition (10%, 25%, or 40%), sample size (30-500), the impact of missing samples or sampling occasions, and the age distribution, on the power to detect a significant inhibition effect, and in addition, the relative estimation error (REE) of the interaction effect. RESULTS A minimum group specific sample size of 38 patients with a total sample size of 150 patients was required to detect a clearance inhibition effect of 40% with 80% power, while in the case of a lower effect of clearance inhibition, a substantially larger sample size was required. However, for the majority of re-estimated drug effects, the inhibition effect could be estimated precisely (REE < 25%) in even smaller sample sizes and with lower effect sizes. CONCLUSION This work demonstrated the utility of CTS for the evaluation of PK clinical trial designs in the pediatric oncology population.
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Affiliation(s)
- J G Coen van Hasselt
- Department of Clinical Pharmacology, The Netherlands Cancer Institute, Amsterdam, The Netherlands; Department of Pharmacy & Pharmacology, The Netherlands Cancer Institute, Amsterdam, The Netherlands
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