On the contribution of qualitative analysis in mathematical modeling of plasmid-mediated ceftiofur resistance
The acquisition of antibiotic resistance due to the consumption of food contaminated with resistant strains is a public health problem that has been increasing in the last decades. Mathematical modeling is contributing to the solution of this problem. In this article we performed the qualitative ana...
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Format: | Article |
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AIMS Press
2023-10-01
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Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2023337?viewType=HTML |
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author | Eduardo Ibargüen-Mondragón M. Victoria Otero-Espinar Miller Cerón Gómez |
author_facet | Eduardo Ibargüen-Mondragón M. Victoria Otero-Espinar Miller Cerón Gómez |
author_sort | Eduardo Ibargüen-Mondragón |
collection | DOAJ |
description | The acquisition of antibiotic resistance due to the consumption of food contaminated with resistant strains is a public health problem that has been increasing in the last decades. Mathematical modeling is contributing to the solution of this problem. In this article we performed the qualitative analysis of a mathematical model that explores the competition dynamics in vivo of ceftiofur-resistant and sensitive commensal enteric Escherichia coli (E. coli) in the absence and during parenteral ceftiofur therapy within the gut of cattle, considering the therapeutic effects (pharmacokinetics (PK)/pharmacodynamics (PD)) in the outcome of infection. Through this analysis, empirical properties obtained through in vivo experimentation were verified, and it also evidenced other properties of bacterial dynamics that had not been previously shown. In addition, the impact of PD and PK has been evaluated. |
first_indexed | 2024-03-09T14:32:04Z |
format | Article |
id | doaj.art-c6f960e85c5a4284b6cb194bd628eb93 |
institution | Directory Open Access Journal |
issn | 2688-1594 |
language | English |
last_indexed | 2024-03-09T14:32:04Z |
publishDate | 2023-10-01 |
publisher | AIMS Press |
record_format | Article |
series | Electronic Research Archive |
spelling | doaj.art-c6f960e85c5a4284b6cb194bd628eb932023-11-28T01:28:18ZengAIMS PressElectronic Research Archive2688-15942023-10-0131116673669610.3934/era.2023337On the contribution of qualitative analysis in mathematical modeling of plasmid-mediated ceftiofur resistanceEduardo Ibargüen-Mondragón 0M. Victoria Otero-Espinar1Miller Cerón Gómez 21. Department of Mathematics, University of Nariño, Pasto Clle 18 - Cra 50, Colombia2. Statistics, Mathematical Analysis and Optimisation Department, Faculty of Mathematics, University of Santiago de Compostela (USC), and Galician Center for Mathematical Research and Technology (CITMAga), Santiago de Compostela 15782, Spain1. Department of Mathematics, University of Nariño, Pasto Clle 18 - Cra 50, ColombiaThe acquisition of antibiotic resistance due to the consumption of food contaminated with resistant strains is a public health problem that has been increasing in the last decades. Mathematical modeling is contributing to the solution of this problem. In this article we performed the qualitative analysis of a mathematical model that explores the competition dynamics in vivo of ceftiofur-resistant and sensitive commensal enteric Escherichia coli (E. coli) in the absence and during parenteral ceftiofur therapy within the gut of cattle, considering the therapeutic effects (pharmacokinetics (PK)/pharmacodynamics (PD)) in the outcome of infection. Through this analysis, empirical properties obtained through in vivo experimentation were verified, and it also evidenced other properties of bacterial dynamics that had not been previously shown. In addition, the impact of PD and PK has been evaluated.https://www.aimspress.com/article/doi/10.3934/era.2023337?viewType=HTMLmathematical modelingqualitative analysisdynamical systemsplasmid-mediated ceftiofur resistancepharmacokineticpharmacodynamics |
spellingShingle | Eduardo Ibargüen-Mondragón M. Victoria Otero-Espinar Miller Cerón Gómez On the contribution of qualitative analysis in mathematical modeling of plasmid-mediated ceftiofur resistance Electronic Research Archive mathematical modeling qualitative analysis dynamical systems plasmid-mediated ceftiofur resistance pharmacokinetic pharmacodynamics |
title | On the contribution of qualitative analysis in mathematical modeling of plasmid-mediated ceftiofur resistance |
title_full | On the contribution of qualitative analysis in mathematical modeling of plasmid-mediated ceftiofur resistance |
title_fullStr | On the contribution of qualitative analysis in mathematical modeling of plasmid-mediated ceftiofur resistance |
title_full_unstemmed | On the contribution of qualitative analysis in mathematical modeling of plasmid-mediated ceftiofur resistance |
title_short | On the contribution of qualitative analysis in mathematical modeling of plasmid-mediated ceftiofur resistance |
title_sort | on the contribution of qualitative analysis in mathematical modeling of plasmid mediated ceftiofur resistance |
topic | mathematical modeling qualitative analysis dynamical systems plasmid-mediated ceftiofur resistance pharmacokinetic pharmacodynamics |
url | https://www.aimspress.com/article/doi/10.3934/era.2023337?viewType=HTML |
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