ArticleJournal of mathematical biology2017
Optimal control of vaccination rate in an epidemiological model of Clostridium difficile transmission.
Article in Journal of mathematical biology, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers, 1 of them a synthesis that pooled it.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
8 citing papers in PubMed, 1 synthesis or guideline pooled it, 20 citations in OpenAlex.
- Simulation models for transmission of health care-associated infection: A systematic review.American journal of infection control · 2020Pooled it
- Optimal control prevents itself from eradicating stochastic disease epidemics.PLoS computational biology · 2025Article
- A review of epidemiological models of Clostridioides difficile transmission and control (2009-2021).Anaerobe · 2022Review
- Mathematically modeling the effect of touch frequency on the environmental transmission of Clostridioides difficile in healthcare settings.Mathematical biosciences · 2021Article
- Comparing intervention strategies for reducing Clostridioides difficile transmission in acute healthcare settings: an agent-based modeling study.BMC infectious diseases · 2020Article
- Applying optimal control theory to a spatial simulation model of sudden oak death: ongoing surveillance protects tanoak while conserving biodiversity.Journal of the Royal Society, Interface · 2020Article
- Bone metastasis treatment modeling via optimal control.Journal of mathematical biology · 2019Article
- Applying optimization algorithms to tuberculosis antibiotic treatment regimens.Cellular and molecular bioengineering · 2017Article
Corrections and comments
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Authors and funding
4 authors at 3 institutions in 1 country.
Funding
Abstract
The spore-forming, gram-negative bacteria Clostridium difficile can cause severe intestinal illness. A striking increase in the number of cases of C. difficile infection (CDI) among hospitals has highlighted the need to better understand how to prevent the spread of CDI. In our paper, we modify and update a compartmental model of nosocomial C. difficile transmission to include vaccination. We then apply optimal control theory to determine the time-varying optimal vaccination rate that minimizes a combination of disease prevalence and spread in the hospital population as well as cost, in terms of time and money, associated with vaccination. Various hospital scenarios are considered, such as times of increased antibiotic prescription rate and times of outbreak, to see how such scenarios modify the optimal vaccination rate. By comparing the values of the objective functional with constant vaccination rates to those with time-varying optimal vaccination rates, we illustrate the benefits of time-varying controls.
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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.