ArticleJournal of optimization theory and applications2020
On the Role of the Objective in the Optimization of Compartmental Models for Biomedical Therapies.
Article in Journal of optimization theory and applications, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed.
- Hazard curvature makes within-host variability costly for survival.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Adaptive and sequential cancer therapies emerge from treatment schedule optimization.Research square · 2026Article
- Optimal control of multiple myeloma assuming drug resistance and off-target effects.PLoS computational biology · 2025Article
- Learning from the COVID-19 pandemic: A systematic review of mathematical vaccine prioritization models.Infectious Disease Modelling · 2024Review
- Modeling of Mouse Experiments Suggests that Optimal Anti-Hormonal Treatment for Breast Cancer is Diet-Dependent.Bulletin of mathematical biology · 2024Article
- Learning from the COVID-19 pandemic: a systematic review of mathematical vaccine prioritization models.medRxiv : the preprint server for health sciences · 2024Article
- Treatment of evolving cancers will require dynamic decision support.Annals of oncology : official journal of the European Society for Medical Oncology · 2023Review
- Optimal quarantine-related strategies for COVID-19 control models.Studies in applied mathematics (Cambridge, Mass.) · 2021Article
Corrections and comments
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Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We review and discuss results obtained through an application of tools of nonlinear optimal control to biomedical problems. We discuss various aspects of the modeling of the dynamics (such as growth and interaction terms), modeling of treatment (including pharmacometrics of the drugs), and give special attention to the choice of the objective functional to be minimized. Indeed, many properties of optimal solutions are predestined by this choice which often is only made casually using some simple ad hoc heuristics. We discuss means to improve this choice by taking into account the underlying biology of the problem.
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Registered trials
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