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Onita T, Ishihara N, Yano T. PK/PD-Guided Strategies for Appropriate Antibiotic Use in the Era of Antimicrobial Resistance. Antibiotics (Basel) 2025; 14:92. [PMID: 39858377 PMCID: PMC11759776 DOI: 10.3390/antibiotics14010092] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/19/2024] [Revised: 01/11/2025] [Accepted: 01/13/2025] [Indexed: 01/27/2025] Open
Abstract
Antimicrobial resistance (AMR) poses a critical global health threat, necessitating the optimal use of existing antibiotics. Pharmacokinetic/pharmacodynamic (PK/PD) principles provide a scientific framework for optimizing antimicrobial therapy, particularly to respond to evolving resistance patterns. This review examines PK/PD strategies for antimicrobial dosing optimization, focusing on three key aspects. First, we discuss the importance of drug concentration management for enhancing efficacy while preventing toxicity, considering various patient populations, including pediatric and elderly patients with their unique physiological characteristics. Second, we analyze different PK modeling approaches: the classic top-down approach exemplified by population PK analysis, the bottom-up approach represented by physiologically based PK modeling, and hybrid models combining both approaches for enhanced predictive performance. Third, we explore clinical applications, including nomogram-based dosing strategies, Bayesian estimation, and emerging artificial intelligence applications, for real-time dose optimization. Critical challenges in implementing PK/PD simulation are addressed, particularly the selection of appropriate PK models, the optimization of PK/PD indices, and considerations concerning antimicrobial concentrations at infection sites. Understanding these principles and challenges is crucial for optimizing antimicrobial therapy and combating AMR through improved dosing strategies.
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Affiliation(s)
| | | | - Takahisa Yano
- Department of Pharmacy, Shimane University Hospital, 89-1 Enya, Izumo 693-8501, Shimane, Japan
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Liu HX, Tang BH, van den Anker J, Hao GX, Zhao W, Zheng Y. Population pharmacokinetics of antibacterial agents in the older population: a literature review. Expert Rev Clin Pharmacol 2024; 17:19-31. [PMID: 38131668 DOI: 10.1080/17512433.2023.2295009] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/08/2023] [Accepted: 12/11/2023] [Indexed: 12/23/2023]
Abstract
INTRODUCTION Older individuals face an elevated risk of developing bacterial infections. The optimal use of antibacterial agents in this population is challenging because of age-related physiological alterations, changes in pharmacokinetics (PK) and pharmacodynamics (PD), and the presence of multiple underlying diseases. Therefore, population pharmacokinetics (PPK) studies are of great importance for optimizing individual treatments and prompt identification of potential risk factors. AREA COVERED Our search involved keywords such as 'elderly,' 'old people,' and 'geriatric,' combined with 'population pharmacokinetics' and 'antibacterial agents.' This comprehensive search yielded 11 categories encompassing 28 antibacterial drugs, including vancomycin, ceftriaxone, meropenem, and linezolid. Out of 127 studies identified, 26 (20.5%) were associated with vancomycin, 14 (11%) with meropenem, and 14 (11%) with piperacillin. Other antibacterial agents were administered less frequently. EXPERT OPINION PPK studies are invaluable for elucidating the characteristics and relevant factors affecting the PK of antibacterial agents in the older population. Further research is warranted to develop and validate PPK models for antibacterial agents in this vulnerable population.
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Affiliation(s)
- Hui-Xin Liu
- Department of Clinical Pharmacy, Institute of Clinical Pharmacology, Key Laboratory of Chemical Biology (Ministry of Education), NMPA Key Laboratory for Clinical Research and Evaluation of Innovative Drug, School of Pharmaceutical Sciences, Cheeloo College of Medicine, Shandong University, Jinan, China
| | - Bo-Hao Tang
- Department of Pharmacy, The Second Hospital, Cheeloo College of Medicine, Shandong University, Jinan, China
| | - John van den Anker
- Division of Clinical Pharmacology, Children's National Hospital, Washington, DC, USA
- Departments of Pediatrics, Pharmacology & Physiology, Genomics and Precision Medicine, School of Medicine and Health Sciences, George Washington University, Washington, DC, USA
- Department of Paediatric Pharmacology and Pharmacometrics, University Children's Hospital Basel, University of Basel, Basel, Switzerland
| | - Guo-Xiang Hao
- Department of Clinical Pharmacy, Institute of Clinical Pharmacology, Key Laboratory of Chemical Biology (Ministry of Education), NMPA Key Laboratory for Clinical Research and Evaluation of Innovative Drug, School of Pharmaceutical Sciences, Cheeloo College of Medicine, Shandong University, Jinan, China
| | - Wei Zhao
- Department of Clinical Pharmacy, Institute of Clinical Pharmacology, Key Laboratory of Chemical Biology (Ministry of Education), NMPA Key Laboratory for Clinical Research and Evaluation of Innovative Drug, School of Pharmaceutical Sciences, Cheeloo College of Medicine, Shandong University, Jinan, China
- Department of Pharmacy, The Second Hospital, Cheeloo College of Medicine, Shandong University, Jinan, China
- Department of Clinical Pharmacy, Clinical Trial Center, The First Affiliated Hospital of Shandong First Medical University & Shandong Provincial Qianfoshan Hospital, Shandong Engineering and Technology Research Center for Pediatric Drug Development, Shandong Medicine and Health Key Laboratory of Clinical Pharmacy, Jinan, China
| | - Yi Zheng
- Department of Clinical Pharmacy, Institute of Clinical Pharmacology, Key Laboratory of Chemical Biology (Ministry of Education), NMPA Key Laboratory for Clinical Research and Evaluation of Innovative Drug, School of Pharmaceutical Sciences, Cheeloo College of Medicine, Shandong University, Jinan, China
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Butranova OI, Ushkalova EA, Zyryanov SK, Chenkurov MS, Baybulatova EA. Pharmacokinetics of Antibacterial Agents in the Elderly: The Body of Evidence. Biomedicines 2023; 11:1633. [PMID: 37371728 DOI: 10.3390/biomedicines11061633] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/20/2023] [Revised: 05/31/2023] [Accepted: 06/01/2023] [Indexed: 06/29/2023] Open
Abstract
Infections are important factors contributing to the morbidity and mortality among elderly patients. High rates of consumption of antimicrobial agents by the elderly may result in increased risk of toxic reactions, deteriorating functions of various organs and systems and leading to the prolongation of hospital stay, admission to the intensive care unit, disability, and lethal outcome. Both safety and efficacy of antibiotics are determined by the values of their plasma concentrations, widely affected by physiologic and pathologic age-related changes specific for the elderly population. Drug absorption, distribution, metabolism, and excretion are altered in different extents depending on functional and morphological changes in the cardiovascular system, gastrointestinal tract, liver, and kidneys. Water and fat content, skeletal muscle mass, nutritional status, use of concomitant drugs are other determinants of pharmacokinetics changes observed in the elderly. The choice of a proper dosing regimen is essential to provide effective and safe antibiotic therapy in terms of attainment of certain pharmacodynamic targets. The objective of this review is to perform a structure of evidence on the age-related changes contributing to the alteration of pharmacokinetic parameters in the elderly.
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Affiliation(s)
- Olga I Butranova
- Department of General and Clinical Pharmacology, Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University), 6 Miklukho-Maklaya St., 117198 Moscow, Russia
| | - Elena A Ushkalova
- Department of General and Clinical Pharmacology, Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University), 6 Miklukho-Maklaya St., 117198 Moscow, Russia
| | - Sergey K Zyryanov
- Department of General and Clinical Pharmacology, Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University), 6 Miklukho-Maklaya St., 117198 Moscow, Russia
- State Budgetary Institution of Healthcare of the City of Moscow "City Clinical Hospital No. 24 of the Moscow City Health Department", Pistzovaya Srt. 10, 127015 Moscow, Russia
| | - Mikhail S Chenkurov
- Department of General and Clinical Pharmacology, Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University), 6 Miklukho-Maklaya St., 117198 Moscow, Russia
| | - Elena A Baybulatova
- Department of General and Clinical Pharmacology, Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University), 6 Miklukho-Maklaya St., 117198 Moscow, Russia
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Setiawan E, Cotta MO, Roberts JA, Abdul-Aziz MH. A Systematic Review on Antimicrobial Pharmacokinetic Differences between Asian and Non-Asian Adult Populations. Antibiotics (Basel) 2023; 12:antibiotics12050803. [PMID: 37237706 DOI: 10.3390/antibiotics12050803] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/14/2023] [Revised: 04/14/2023] [Accepted: 04/18/2023] [Indexed: 05/28/2023] Open
Abstract
While the relevance of inter-ethnic differences to the pharmacokinetic variabilities of antimicrobials has been reported in studies recruiting healthy subjects, differences in antimicrobial pharmacokinetics between Asian and non-Asian patients with severe pathologic conditions require further investigation. For the purpose of describing the potential differences in antimicrobial pharmacokinetics between Asian and non-Asian populations, a systematic review was performed using six journal databases and six theses/dissertation databases (PROSPERO record CRD42018090054). The pharmacokinetic data of healthy volunteers and non-critically ill and critically ill patients were reviewed. Thirty studies on meropenem, imipenem, doripenem, linezolid, and vancomycin were included in the final descriptive summaries. In studies recruiting hospitalised patients, inconsistent differences in the volume of distribution (Vd) and drug clearance (CL) of the studied antimicrobials between Asian and non-Asian patients were observed. Additionally, factors other than ethnicity, such as demographic (e.g., age) or clinical (e.g., sepsis) factors, were suggested to better characterise these pharmacokinetic differences. Inconsistent differences in pharmacokinetic parameters between Asian and non-Asian subjects/patients may suggest that ethnicity is not an important predictor to characterise interindividual pharmacokinetic differences between meropenem, imipenem, doripenem, linezolid, and vancomycin. Therefore, the dosing regimens of these antimicrobials should be adjusted according to patients' demographic or clinical characteristics that can better describe pharmacokinetic differences.
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Affiliation(s)
- Eko Setiawan
- University of Queensland Centre for Clinical Research [UQCCR], Faculty of Medicine, The University of Queensland, Brisbane 4006, Australia
- Department of Clinical and Community Pharmacy, Center for Medicines Information and Pharmaceutical Care [CMIPC], Faculty of Pharmacy, University of Surabaya, Surabaya 60293, Indonesia
| | - Menino Osbert Cotta
- University of Queensland Centre for Clinical Research [UQCCR], Faculty of Medicine, The University of Queensland, Brisbane 4006, Australia
| | - Jason A Roberts
- University of Queensland Centre for Clinical Research [UQCCR], Faculty of Medicine, The University of Queensland, Brisbane 4006, Australia
- Departments of Pharmacy and Intensive Care Medicine, Royal Brisbane and Women's Hospital, Brisbane 4029, Australia
- Division of Anaesthesiology Critical Care Emergency and Pain Medicine, Nîmes University Hospital, University of Montpellier, 30029 Nîmes, France
| | - Mohd Hafiz Abdul-Aziz
- University of Queensland Centre for Clinical Research [UQCCR], Faculty of Medicine, The University of Queensland, Brisbane 4006, Australia
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Hemmersbach-Miller M, Balevic SJ, Winokur PL, Landersdorfer CB, Gu K, Chan AW, Cohen-Wolkowiez M, Conrad T, An G, Kirkpatrick CMJ, Swamy GK, Walter EB, Schmader KE. Population Pharmacokinetics of Piperacillin/Tazobactam Across the Adult Lifespan. Clin Pharmacokinet 2023; 62:127-139. [PMID: 36633812 PMCID: PMC9969806 DOI: 10.1007/s40262-022-01198-z] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 12/11/2022] [Indexed: 01/13/2023]
Abstract
BACKGROUND AND OBJECTIVE Piperacillin/tazobactam is one of the most frequently used antimicrobials in older adults. Using an opportunistic study design, we evaluated the pharmacokinetics of piperacillin/tazobactam as a probe drug to evaluate changes in antibacterial drug exposure and dosing requirements, including in older adults. METHODS A total of 121 adult patients were included. The population pharmacokinetic models that best characterized the observed plasma concentrations of piperacillin and tazobactam were one-compartment structural models with zero-order input and linear elimination. RESULTS Among all potential covariates, estimated creatinine clearance had the most substantial impact on the elimination clearance for both piperacillin and tazobactam. After accounting for renal function and body size, there was no remaining impact of frailty on the pharmacokinetics of piperacillin and tazobactam. Monte Carlo simulations indicated that renal function had a greater impact on the therapeutic target attainment than age, although these covariates were highly correlated. Frailty, using the Canadian Study of Health and Aging Clinical Frailty Scale, was assessed in 60 patients who were ≥ 65 years of age. CONCLUSIONS The simulations suggested that adults ≤ 50 years of age infected with organisms with higher minimum inhibitory concentrations may benefit from continuous piperacillin/tazobactam infusions (12 g/day of piperacillin component) or extended infusions of 4 g every 8 hours. However, for a target of 50% fT + minimum inhibitory concentration, dosing based on renal function is generally preferable to dosing by age, and simulations suggested that patients with creatinine clearance ≥ 120 mL/min may benefit from infusions of 4 g every 8 hours for organisms with higher minimum inhibitory concentrations.
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Affiliation(s)
- Marion Hemmersbach-Miller
- Division of Infectious Diseases, Department of Internal Medicine, Duke University Medical Center, Durham, NC, USA
- Duke Clinical Research Institute, Durham, NC, USA
- ICON Plc, North Wales, PA, USA
| | - Stephen J Balevic
- Duke Clinical Research Institute, Durham, NC, USA
- Department of Pediatrics, Duke University School of Medicine, Durham, NC, USA
- Division of Rheumatology and Immunology, Department of Internal Medicine, Duke University Medical Center, Durham, NC, USA
| | - Patricia L Winokur
- Division of Infectious Diseases, Department of Internal Medicine, University of Iowa, Iowa City, IA, USA
| | | | - Kenan Gu
- Division of Microbiology and Infectious Diseases, National Institutes of Health, Rockville, MD, USA
| | - Austin W Chan
- Division of Infectious Diseases, Department of Internal Medicine, Duke University Medical Center, Durham, NC, USA
| | - Michael Cohen-Wolkowiez
- Duke Clinical Research Institute, Durham, NC, USA
- Department of Pediatrics, Duke University School of Medicine, Durham, NC, USA
| | | | - Guohua An
- College of Pharmacy, University of Iowa, Iowa City, IA, USA
| | - Carl M J Kirkpatrick
- Monash Institute of Pharmaceutical Sciences, Monash University, Parkville, VIC, Australia
| | - Geeta K Swamy
- Department of Obstetrics and Gynecology, Obstetrics Clinical Research, Duke University Medical System, Durham, NC, USA
| | - Emmanuel B Walter
- Duke Clinical Research Institute, Durham, NC, USA
- Department of Pediatrics, Duke University School of Medicine, Durham, NC, USA
- Duke Human Vaccine Institute, Duke University School of Medicine, Durham, NC, USA
| | - Kenneth E Schmader
- Division of Geriatrics, Department of Medicine, Duke University Medical Center, Duke Box 3469, Durham, NC, 27710, USA.
- Geriatric Research Education and Clinical Center (GRECC), Durham Veterans Affairs Health Care System, Durham, NC, USA.
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Vervalcke J, De Clercq A, De Paepe P, Petrovic M, Desmet T, De Cock PA. Pharmacokinetics and Target Attainment of ß-lactam Antibiotics in Older People: A Systematic Review of Current Literature. Clin Pharmacokinet 2023; 62:1-43. [PMID: 36633814 DOI: 10.1007/s40262-022-01196-1] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 12/07/2022] [Indexed: 01/13/2023]
Abstract
BACKGROUND AND OBJECTIVE (Patho)physiological changes in older people may influence the pharmacokinetics (PK), and consequently the target attainment, of ß-lactam antibiotics using standard dosing regimens. This systematic review compiles the current knowledge on the PK and target attainment of ß-lactam antibiotics in older people, with the aim to identify priorities for dose optimization in this patient population. METHODS A systematic literature search of the PubMed and EMBASE databases was conducted. Relevant articles published prior to 1 December 2021 were identified as eligible when they included data on the PK of ß-lactam antibiotics in adults ≥ 65 years of age. Extracted information included reported PK parameters (volume of distribution, clearance [CL], elimination rate constant, intercompartmental CL, elimination half-life, area under the concentration-time curve, maximum and trough concentration), covariates on PK parameters, target attainment rate, and dosing recommendations. RESULTS Ninety-one relevant articles were included in this review. Four main ß-lactam subclasses were represented: 59.3% on cephalosporins + cephamycins, 25.3% on penicillins, 15.4% on carbapenems, and 3.3% on monobactams; 65.9% of articles involved intravenous administration, 16.5% mixed administration routes, 12.1% oral administration, and 5.5% intramuscular administration. The majority of studies had a small sample size, often did not include detailed information on the study population and methods, and were fairly old. CL was, on average, decreased, while elimination half-life was prolonged in aged subjects compared with young subjects. Volume of distribution was generally similar between age groups. Most studies identified renal function as the most important contributor to altered drug CL. In only 30.8% of the articles, target attainment was studied, and in 35.7% of these articles, target attainment was found to be suboptimal. Dosing recommendations were incorporated in 87.9% of articles. CONCLUSION Studies frequently fail to provide an evidence-based dosing recommendation for this diverse patient population. Model-based PK studies that address both physiological and disease-related changes are urgently needed. This review identified gaps of knowledge to set priorities for further research.
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Affiliation(s)
- Jeroen Vervalcke
- Faculty of Medicine and Health Sciences, Ghent University, Ghent, Belgium
| | - Arnaud De Clercq
- Faculty of Medicine and Health Sciences, Ghent University, Ghent, Belgium
| | - Peter De Paepe
- Department of Basic and Applied Medical Sciences, Ghent University, Ghent, Belgium.,Department of Emergency Medicine, Ghent University Hospital, Ghent, Belgium
| | - Mirko Petrovic
- Section of Geriatrics, Department of Internal Medicine and Paediatrics, Ghent University, Ghent, Belgium
| | - Tania Desmet
- Department of Emergency Medicine, Ghent University Hospital, Ghent, Belgium
| | - Pieter A De Cock
- Department of Basic and Applied Medical Sciences, Ghent University, Ghent, Belgium. .,Department of Pharmacy, Ghent University Hospital, C. Heymanslaan 10, 9000, Ghent, Belgium.
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Kim YK, Kim HS, Park S, Kim HI, Lee SH, Lee DH. OUP accepted manuscript. J Antimicrob Chemother 2022; 77:1353-1364. [PMID: 35224630 PMCID: PMC9047688 DOI: 10.1093/jac/dkac059] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/27/2021] [Accepted: 02/05/2022] [Indexed: 11/14/2022] Open
Affiliation(s)
- Yong Kyun Kim
- Division of Infectious Diseases, Department of Internal Medicine, Hallym University Sacred Heart Hospital, Hallym University College of Medicine, Anyang, Korea
| | - Hyoung Soo Kim
- Department of Thoracic and Cardiovascular Surgery, Hallym University Sacred Heart Hospital, Hallym University College of Medicine, Anyang, Korea
| | - Sunghoon Park
- Division of Pulmonary, Allergy and Critical Care Medicine, Department of Internal Medicine, Hallym University Sacred Heart Hospital, Hallym University College of Medicine, Anyang, Korea
| | - Hwan-il Kim
- Division of Pulmonary, Allergy and Critical Care Medicine, Department of Internal Medicine, Hallym University Sacred Heart Hospital, Hallym University College of Medicine, Anyang, Korea
| | - Sun Hee Lee
- Department of Thoracic and Cardiovascular Surgery, Hallym University Sacred Heart Hospital, Hallym University College of Medicine, Anyang, Korea
| | - Dong-Hwan Lee
- Department of Clinical Pharmacology, Hallym University Sacred Heart Hospital, Hallym University College of Medicine, Anyang, Korea
- Corresponding author. E-mail:
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Ishihara N. [Clinical Pharmacometrics Research Aimed at Individual Optimization of Infectious Disease Treatment against Antimicrobial Resistant Bacteria]. YAKUGAKU ZASSHI 2021; 141:1289-1296. [PMID: 34853200 DOI: 10.1248/yakushi.21-00167] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
In recent years, antimicrobial resistance bacteria such as methicillin-resistant Staphylococcus aureus (MRSA) have become a global problem. One of the countermeasures is to optimize the use of antimicrobial drugs, specifically to optimize the dosage and administration based on the therapeutic drug monitoring (TDM) and pharmacokinetics (PK)/pharmacodynamics (PD) theory. On the other hand, in clinical practice, clinical-pharmacometrics can be used for optimized management of individual patients of pharmaceutical products. Therefore, we aimed at individual optimization of infectious disease treatment for antimicrobial resistant bacteria, and tried a series of flows from model construction to clinical application, that is, practice of clinical pharmacometrics. In the context of individual optimization and optimization management of drug therapy in the medical field, it is considered that hospital pharmacists can contribute to the improvement of infectious disease treatment of antimicrobial resistance bacteria by contributing to the optimization of administration method. In addition, clinical pharmacometrics can be applied not only to antibacterial drugs but also to all drugs, and can be said to be a useful method for quantitatively evaluating the promotion of individualized administration methods for patients.
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Personalized Antibiotic Therapy for the Critically Ill: Implementation Strategies and Effects on Clinical Outcome of Piperacillin Therapeutic Drug Monitoring-A Descriptive Retrospective Analysis. Antibiotics (Basel) 2021; 10:antibiotics10121452. [PMID: 34943664 PMCID: PMC8698194 DOI: 10.3390/antibiotics10121452] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/30/2021] [Revised: 11/18/2021] [Accepted: 11/20/2021] [Indexed: 12/29/2022] Open
Abstract
Therapeutic drug monitoring (TDM) is increasingly relevant for an individualized antibiotic therapy and subsequently a necessary tool to reduce multidrug-resistant pathogens, especially in light of diminishing antimicrobial capabilities. Critical illness is associated with profound pharmacokinetic and pharmacodynamic alterations, which challenge dose finding and the application of particularly hydrophilic drugs such as β-lactam antibiotics. Methods: Implementation strategy, potential benefit, and practicability of the developed standard operating procedures were retrospectively analyzed from January to December 2020. Furthermore, the efficacy of the proposed dosing target of piperacillin in critically ill patients was evaluated. Results: In total, 160 patients received piperacillin/tazobactam therapy and were subsequently included in the study. Of them, 114 patients received piperacillin/tazobactam by continuous infusion and had at least one measurement of piperacillin serum level according to the standard operating procedure. In total, 271 measurements were performed with an average level of 79.0 ± 46.0 mg/L. Seventy-one piperacillin levels exceeded 100 mg/L and six levels were lower than 22.5 mg/L. The high-level and the low-level group differed significantly in infection laboratory parameters (CRP (mg/dL) 20.18 ± 11.71 vs. 5.75 ± 5.33) and renal function [glomerular filtration rate (mL/min/1.75 m2) 40.85 ± 26.74 vs. 120.50 ± 70.48]. Conclusions: Piperacillin levels are unpredictable in critically ill patients. TDM during piperacillin/tazobactam therapy is highly recommended for all patients. Although our implementation strategy was effective, further strategies implemented into the daily clinical workflow might support the health care staff and increase the clinicians' alertness.
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An Algorithm for Nonparametric Estimation of a Multivariate Mixing Distribution with Applications to Population Pharmacokinetics. Pharmaceutics 2020; 13:pharmaceutics13010042. [PMID: 33396749 PMCID: PMC7823953 DOI: 10.3390/pharmaceutics13010042] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/05/2020] [Revised: 12/11/2020] [Accepted: 12/23/2020] [Indexed: 12/26/2022] Open
Abstract
Population pharmacokinetic (PK) modeling has become a cornerstone of drug development and optimal patient dosing. This approach offers great benefits for datasets with sparse sampling, such as in pediatric patients, and can describe between-patient variability. While most current algorithms assume normal or log-normal distributions for PK parameters, we present a mathematically consistent nonparametric maximum likelihood (NPML) method for estimating multivariate mixing distributions without any assumption about the shape of the distribution. This approach can handle distributions with any shape for all PK parameters. It is shown in convexity theory that the NPML estimator is discrete, meaning that it has finite number of points with nonzero probability. In fact, there are at most N points where N is the number of observed subjects. The original infinite NPML problem then becomes the finite dimensional problem of finding the location and probability of the support points. In the simplest case, each point essentially represents the set of PK parameters for one patient. The probability of the points is found by a primal-dual interior-point method; the location of the support points is found by an adaptive grid method. Our method is able to handle high-dimensional and complex multivariate mixture models. An important application is discussed for the problem of population pharmacokinetics and a nontrivial example is treated. Our algorithm has been successfully applied in hundreds of published pharmacometric studies. In addition to population pharmacokinetics, this research also applies to empirical Bayes estimation and many other areas of applied mathematics. Thereby, this approach presents an important addition to the pharmacometric toolbox for drug development and optimal patient dosing.
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