ArticleJournal of pharmacokinetics and pharmacodynamics2018
Transit and lifespan in neutrophil production: implications for drug intervention.
Article in Journal of pharmacokinetics and pharmacodynamics, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- A Nonparametric Approach to Practical Identifiability of Nonlinear Mixed Effects Models.Bulletin of mathematical biology · 2026Article
- Pharmacokinetic-pharmacodynamic modeling of maintenance therapy for childhood acute lymphoblastic leukemia.Scientific reports · 2023Article
- Beyond lymphopenia, unraveling radiation-induced leucocyte subpopulation kinetics and mechanisms through modeling approaches.Journal of experimental & clinical cancer research : CR · 2023Review
- Numerical methods and hypoexponential approximations for gamma distributed delay differential equations.IMA journal of applied mathematics · 2022Article
- Systems Modeling to Quantify Safety Risks in Early Drug Development: Using Bifurcation Analysis and Agent-Based Modeling as Examples.The AAPS journal · 2021Review
- Importance of Stability Analysis When Using Nonlinear Semimechanistic Models to Describe Drug-Induced Hematotoxicity.CPT: pharmacometrics & systems pharmacology · 2020Article
- Model-Based Simulation of Maintenance Therapy of Childhood Acute Lymphoblastic Leukemia.Frontiers in physiology · 2020Article
- Quantifying Drug-Induced Bone Marrow Toxicity Using a Novel Haematopoiesis Systems Pharmacology Model.CPT: pharmacometrics & systems pharmacology · 2019Article
- Generalizations of the 'Linear Chain Trick': incorporating more flexible dwell time distributions into mean field ODE models.Journal of mathematical biology · 2019Article
- Ordinary differential equation approximation of gamma distributed delay model.Journal of pharmacokinetics and pharmacodynamics · 2019Article
- Mathematical models for cytarabine-derived myelosuppression in acute myeloid leukaemia.PloS one · 2019Article
- Mathematical analysis and drug exposure evaluation of pharmacokinetic models with endogenous production and simultaneous first-order and Michaelis-Menten elimination: the case of single dose.Journal of pharmacokinetics and pharmacodynamics · 2018Article
- A Population Pharmacokinetic-Pharmacodynamic Model of Pegfilgrastim.The AAPS journal · 2018Article
- Evaluation of performance of distributed delay model for chemotherapy-induced myelosuppression.Journal of pharmacokinetics and pharmacodynamics · 2018Article
Corrections and comments
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Authors and funding
7 authors.
Funding
Abstract
A comparison of the transit compartment ordinary differential equation modelling approach to distributed and discrete delay differential equation models is studied by focusing on Quartino's extension to the Friberg transit compartment model of myelosuppression, widely relied upon in the pharmaceutical sciences to predict the neutrophil response after chemotherapy, and on a QSP delay differential equation model of granulopoiesis. An extension to the Quartino model is provided by considering a general number of transit compartments and introducing an extra parameter that allows for the decoupling of the maturation time from the production rate of cells. An overview of the well established linear chain technique, used to reformulate transit compartment models with constant transit rates as distributed delay differential equations (DDEs), is then given. A state-dependent time rescaling of the Quartino model is performed to apply the linear chain technique and rewrite the Quartino model as a distributed DDE, yielding a discrete DDE model in a certain parameter limit. Next, stability and bifurcation analyses are undertaken in an effort to situate such studies in a mathematical pharmacology context. We show that both the original Friberg and the Quartino extension models incorrectly define the mean maturation time, essentially treating the proliferative pool as an additional maturation compartment. This misspecification can have far reaching consequences on the development of future models of myelosuppression in PK/PD.
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Registered trials
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.