ArticleJournal of pharmacokinetics and pharmacodynamics2018
How to mathematically optimize drug regimens using optimal control.
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 19 papers.
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Who cites it
19 citing papers in PubMed.
- Exact Decomposition of Adversarial Dual-Objective Value Functions, with Applications to Optimal Drug Dosing.ArXiv · 2026Article
- Continuous adaptive chemotherapy dosing by using planet-formation-inspired dynamics: analytical andFrontiers in oncology · 2026Article
- Understanding Immune Dynamics in Liver Transplant Through Mathematical Modeling.Bulletin of mathematical biology · 2025Article
- Stochastic pharmacodynamics of a heterogeneous tumour-cell population.Journal of pharmacokinetics and pharmacodynamics · 2025Article
- Linear and Non-Linear Optimal Control Methods to Determine the Best Chemotherapy Schedule for Most Effectively Inhibiting Tumor Growth.Biomedicines · 2025Article
- Stronger together: a cross-SIG perspective on improving drug development.Journal of pharmacokinetics and pharmacodynamics · 2025Article
- Computing optimal drug dosing regarding efficacy and safety: the enhanced OptiDose method in NONMEM.Journal of pharmacokinetics and pharmacodynamics · 2024Article
- Treatment of evolving cancers will require dynamic decision support.Annals of oncology : official journal of the European Society for Medical Oncology · 2023Review
- Phenotype Control techniques for Boolean gene regulatory networks.Bulletin of mathematical biology · 2023Review
- Computing optimal drug dosing with OptiDose: implementation in NONMEM.Journal of pharmacokinetics and pharmacodynamics · 2023Article
- Genetic, individual, and familial risk correlates of brain network controllability in major depressive disorder.Molecular psychiatry · 2023Article
- Article
- Exposure-response modeling improves selection of radiation and radiosensitizer combinations.Journal of pharmacokinetics and pharmacodynamics · 2022Article
- Optimum multi-drug regime for compartment model of tumour: cell-cycle-specific dynamics in the presence of resistance.Journal of pharmacokinetics and pharmacodynamics · 2021Article
- OptiDose: Computing the Individualized Optimal Drug Dosing Regimen Using Optimal Control.Journal of optimization theory and applications · 2021Article
- Genetic Algorithms as a Tool for Dosing Guideline Optimization: Application to Intermittent Infusion Dosing for Vancomycin in Adults.CPT: pharmacometrics & systems pharmacology · 2020Article
- Crosstalk between HER2 and PD-1/PD-L1 in Breast Cancer: From Clinical Applications to Mathematical Models.Cancers · 2020Review
- Control Theory and Cancer Chemotherapy: How They Interact.Frontiers in bioengineering and biotechnology · 2020Review
- How Should Cancer Models Be Constructed?Cancer control : journal of the Moffitt Cancer CenterReview
Corrections and comments
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Authors and funding
1 author.
Funding
No grant is acknowledged in the PubMed record.
Abstract
This article gives an overview of a technique called optimal control, which is used to optimize real-world quantities represented by mathematical models. I include background information about the historical development of the technique and applications in a variety of fields. The main focus here is the application to diseases and therapies, particularly the optimization of combination therapies, and I highlight several such examples. I also describe the basic theory of optimal control, and illustrate each of the steps with an example that optimizes the doses in a combination regimen for leukemia. References are provided for more complex cases. The article is aimed at modelers working in drug development, who have not used optimal control previously. My goal is to make this technique more accessible in the biopharma community.
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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.