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...

Full description

Bibliographic Details
Main Authors: Eduardo Ibargüen-Mondragón, M. Victoria Otero-Espinar, Miller Cerón Gómez
Format: Article
Language:English
Published: AIMS Press 2023-10-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2023337?viewType=HTML
_version_ 1797449858274033664
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
work_keys_str_mv AT eduardoibarguenmondragon onthecontributionofqualitativeanalysisinmathematicalmodelingofplasmidmediatedceftiofurresistance
AT mvictoriaoteroespinar onthecontributionofqualitativeanalysisinmathematicalmodelingofplasmidmediatedceftiofurresistance
AT millercerongomez onthecontributionofqualitativeanalysisinmathematicalmodelingofplasmidmediatedceftiofurresistance