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Chen R, Schumitzky A, Kryshchenko A, Nieforth K, Tomashevskiy M, Hu S, Garreau R, Otalvaro J, Yamada W, Neely MN. RPEM: Randomized Monte Carlo parametric expectation maximization algorithm. CPT Pharmacometrics Syst Pharmacol 2024. [PMID: 38622792 DOI: 10.1002/psp4.13113] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/23/2022] [Revised: 12/22/2023] [Accepted: 01/26/2024] [Indexed: 04/17/2024] Open
Abstract
Inspired from quantum Monte Carlo, by sampling discrete and continuous variables at the same time using the Metropolis-Hastings algorithm, we present a novel, fast, and accurate high performance Monte Carlo Parametric Expectation Maximization (MCPEM) algorithm. We named it Randomized Parametric Expectation Maximization (RPEM). We compared RPEM with NONMEM's Importance Sampling Method (IMP), Monolix's Stochastic Approximation Expectation Maximization (SAEM), and Certara's Quasi-Random Parametric Expectation Maximization (QRPEM) for a realistic two-compartment voriconazole model with ordinary differential equations using simulated data. We show that RPEM is as fast and as accurate as the algorithms IMP, QRPEM, and SAEM for the voriconazole model in reconstructing the population parameters, for the normal and log-normal cases.
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Affiliation(s)
- Rong Chen
- Certara, Inc., Princeton, New Jersey, USA
- Laboratory of Applied Pharmacokinetics and Bioinformatics, Children's Hospital Los Angeles, Keck School of Medicine, University of Southern California, Los Angeles, California, USA
| | - Alan Schumitzky
- Laboratory of Applied Pharmacokinetics and Bioinformatics, Children's Hospital Los Angeles, Keck School of Medicine, University of Southern California, Los Angeles, California, USA
- Department of Mathematics, University of Southern California, Los Angeles, California, USA
| | - Alona Kryshchenko
- Department of Mathematics, California State University Channel Islands, Camarillo, California, USA
| | | | | | - Shuhua Hu
- Certara, Inc., Princeton, New Jersey, USA
| | - Romain Garreau
- UMR CNRS 5558, Laboratoire de Biométrie et Biologie Evolutive, Université de Lyon, Université Lyon 1, Villeurbanne, France
- Hospices Civils de Lyon, GH Nord, Service de Pharmacie, Lyon, France
| | - Julian Otalvaro
- Laboratory of Applied Pharmacokinetics and Bioinformatics, Children's Hospital Los Angeles, Keck School of Medicine, University of Southern California, Los Angeles, California, USA
| | - Walter Yamada
- Laboratory of Applied Pharmacokinetics and Bioinformatics, Children's Hospital Los Angeles, Keck School of Medicine, University of Southern California, Los Angeles, California, USA
| | - Michael N Neely
- Laboratory of Applied Pharmacokinetics and Bioinformatics, Children's Hospital Los Angeles, Keck School of Medicine, University of Southern California, Los Angeles, California, USA
- Pediatric Infectious Diseases, Children's Hospital Los Angeles, Keck School of Medicine, University of Southern California, Los Angeles, California, USA
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