ArticleJournal of pharmacokinetics and pharmacodynamics2013
Variability and singularity arising from poor compliance in a pharmacokinetic model I: the multi-IV case.
Article in Journal of pharmacokinetics and pharmacodynamics, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Mitigating antibiotic resistance from missed doses.Journal of pharmacokinetics and pharmacodynamics · 2026Article
- How drug onset rate and duration of action affect drug forgiveness.Journal of pharmacokinetics and pharmacodynamics · 2024Article
- A pharmacokinetic and pharmacodynamic analysis of drug forgiveness.Journal of pharmacokinetics and pharmacodynamics · 2022Article
- Statistical analysis of one-compartment pharmacokinetic models with drug adherence.Journal of pharmacokinetics and pharmacodynamics · 2022Article
- What should patients do if they miss a dose of medication? A theoretical approach.Journal of pharmacokinetics and pharmacodynamics · 2021Article
- Variability and singularity arising from a Piecewise-Deterministic Markov Process applied to model poor patient compliance in the multi-IV case.Journal of applied statistics · 2020Article
- Variability and singularity arising from poor compliance in a pharmacokinetic model II: the multi-oral case.Journal of mathematical biology · 2017Article
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Authors and funding
2 authors.
Funding
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Abstract
We consider a simple multi-IV model for drug concentration in the case of poor patient compliance. The model is a stochastic one, and is thus able to take into account an irregular drug intake schedule. Under some assumptions, we study features of the drug concentration relevant for practical purposes such as its variability or the regularity of its cumulative probability distribution. We consider five variants: random instants for drug intake with either deterministic or random doses, both in continuous and discrete-time settings, plus a model with stochastically varying elimination rate. Our computations make it possible to assess in a precise way the effect of various significant parameters such as the mean rate of intake, the elimination rate, and the mean dose. They also quantify how much poor compliance will affect the regimen: in that view, we provide precise comparisons with the variability of concentration in the cases of (a) a fully compliant patient and (b) a population of fully compliant patients with lognormally distributed elimination rates. The time discretized version of our models reveal unexpected links with measures known as infinite Bernoulli convolutions. Our findings help in understanding the consequences of poor compliance, and may have practical outcomes in terms of drug dosing and scheduling.
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