ArticleJournal of pharmacokinetics and pharmacodynamics2014
Modeling of delays in PKPD: classical approaches and a tutorial for delay differential equations.
Article in Journal of pharmacokinetics and pharmacodynamics, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 21 papers.
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Who cites it
21 citing papers in PubMed.
- Neural Controlled Differential Equation and Its Application in Pharmacokinetics and Pharmacodynamics.CPT: pharmacometrics & systems pharmacology · 2026Article
- Modeling drug retention as memory effects in obese patients using fractional and augmented models.Scientific reports · 2025Article
- Maximum likelihood inference for multivariate delay differential equation models.Scientific reports · 2025Article
- Pharmacometrics to Evaluate Dosing of the Patient-Friendly Ivermectin CHILD-IVITAB in Children ≥ 15 kg and <15 kg.Pharmaceutics · 2024Article
- Population Pharmacokinetics of Bepirovirsen in Healthy Participants and Participants with Chronic Hepatitis B Virus Infection: Results from Phase 1, 2a, and 2b Studies.Infectious diseases and therapy · 2024Article
- Computing optimal drug dosing with OptiDose: implementation in NONMEM.Journal of pharmacokinetics and pharmacodynamics · 2023Article
- Modelling inflammatory biomarker dynamics in a human lipopolysaccharide (LPS) challenge study using delay differential equations.British journal of clinical pharmacology · 2022Article
- Computational analysis of 5-fluorouracil anti-tumor activity in colon cancer using a mechanistic pharmacokinetic/pharmacodynamic model.PLoS computational biology · 2022Article
- Extended transit compartment model to describe tumor delay using Coxian distribution.Scientific reports · 2022Article
- Article
- Delay differential equations based models in NONMEM.Journal of pharmacokinetics and pharmacodynamics · 2021Article
- Modeling of levothyroxine in newborns and infants with congenital hypothyroidism: challenges and opportunities of a rare disease multi-center study.Journal of pharmacokinetics and pharmacodynamics · 2021Article
- The rhythm of a preterm neonate's life: ultradian oscillations of heart rate, body temperature and sleep cycles.Journal of pharmacokinetics and pharmacodynamics · 2021Observational
- OptiDose: Computing the Individualized Optimal Drug Dosing Regimen Using Optimal Control.Journal of optimization theory and applications · 2021Article
- Individualized Absorption Models in Population Pharmacokinetic Analyses.CPT: pharmacometrics & systems pharmacology · 2020Article
- Multiple Dose Pharmacokinetic Models Predict Bioavailability of Toxins in Vertebrate Herbivores.Journal of chemical ecology · 2020Article
- Travelling fronts in time-delayed reaction-diffusion systems.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2019Article
- Simultaneous Semi-Mechanistic Population Pharmacokinetic Modeling Analysis of Enalapril and Enalaprilat Serum and Urine Concentrations From Child Appropriate Orodispersible Minitablets.Frontiers in pediatrics · 2019Article
- A distributed delay approach for modeling delayed outcomes in pharmacokinetics and pharmacodynamics studies.Journal of pharmacokinetics and pharmacodynamics · 2018Article
- Delayed logistic indirect response models: realization of oscillating behavior.Journal of pharmacokinetics and pharmacodynamics · 2018Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
In pharmacokinetics/pharmacodynamics (PKPD) the measured response is often delayed relative to drug administration, individuals in a population have a certain lifespan until they maturate or the change of biomarkers does not immediately affects the primary endpoint. The classical approach in PKPD is to apply transit compartment models (TCM) based on ordinary differential equations to handle such delays. However, an alternative approach to deal with delays are delay differential equations (DDE). DDEs feature additional flexibility and properties, realize more complex dynamics and can complementary be used together with TCMs. We introduce several delay based PKPD models and investigate mathematical properties of general DDE based models, which serve as subunits in order to build larger PKPD models. Finally, we review current PKPD software with respect to the implementation of DDEs for PKPD analysis.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.