Linking within- and between-host scales for understanding the evolutionary dynamics of quantitative antimicrobial resistance.
Antimicrobial resistance
Evolutionary dynamics
Nested models
Non-linear dynamical system
Journal
Journal of mathematical biology
ISSN: 1432-1416
Titre abrégé: J Math Biol
Pays: Germany
ID NLM: 7502105
Informations de publication
Date de publication:
27 10 2023
27 10 2023
Historique:
received:
24
12
2022
accepted:
18
09
2023
revised:
30
08
2023
medline:
30
10
2023
pubmed:
27
10
2023
entrez:
27
10
2023
Statut:
epublish
Résumé
Understanding both the epidemiological and evolutionary dynamics of antimicrobial resistance is a major public health concern. In this paper, we propose a nested model, explicitly linking the within- and between-host scales, in which the level of resistance of the bacterial population is viewed as a continuous quantitative trait. The within-host dynamics is based on integro-differential equations structured by the resistance level, while the between-host scale is additionally structured by the time since infection. This model simultaneously captures the dynamics of the bacteria population, the evolutionary transient dynamics which lead to the emergence of resistance, and the epidemic dynamics of the host population. Moreover, we precisely analyze the model proposed by particularly performing the uniform persistence and global asymptotic results. Finally, we discuss the impact of the treatment rate of the host population in controlling both the epidemic outbreak and the average level of resistance, either if the within-host scale therapy is a success or failure. We also explore how transitions between infected populations (treated and untreated) can impact the average level of resistance, particularly in a scenario where the treatment is successful at the within-host scale.
Identifiants
pubmed: 37889337
doi: 10.1007/s00285-023-02008-1
pii: 10.1007/s00285-023-02008-1
pmc: PMC10611892
doi:
Substances chimiques
Anti-Bacterial Agents
0
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Pagination
78Informations de copyright
© 2023. The Author(s).
Références
Proc Natl Acad Sci U S A. 1998 Sep 29;95(20):11514-9
pubmed: 9751697
Theor Popul Biol. 2007 Dec;72(4):576-91
pubmed: 17900643
J Math Biol. 1990;28(4):365-82
pubmed: 2117040
PLoS One. 2008;3(12):e4036
pubmed: 19112501
J Math Biol. 2018 Oct;77(4):1035-1057
pubmed: 29737396
J R Soc Interface. 2020 May;17(166):20200230
pubmed: 32400267
Mol Biol Evol. 2017 Apr 1;34(4):802-817
pubmed: 28096304
J R Soc Interface. 2021 Aug;18(181):20210308
pubmed: 34428945
Antimicrob Agents Chemother. 1997 Feb;41(2):363-73
pubmed: 9021193
Theor Popul Biol. 2006 Mar;69(2):145-53
pubmed: 16198387
J Math Biol. 2008 May;56(5):635-72
pubmed: 17924106
Virus Evol. 2020 Feb 17;6(1):veaa010
pubmed: 32082616
Nat Rev Microbiol. 2022 May;20(5):257-269
pubmed: 34737424
Evolution. 2006 Jan;60(1):13-23
pubmed: 16568627
Nat Commun. 2014 Oct 10;5:5208
pubmed: 25302567
J Math Biol. 2021 Feb 5;82(3):16
pubmed: 33544239
Evolution. 2014 Jul;68(7):2066-78
pubmed: 24749717
Evol Appl. 2019 Jan 21;12(3):365-383
pubmed: 30828361
Am Nat. 2022 Jan;199(1):51-58
pubmed: 34978967
PLoS Comput Biol. 2016 Jan 28;12(1):e1004689
pubmed: 26820986
J Math Biol. 2012 Aug;65(2):309-48
pubmed: 21842424
J Math Biol. 2003 May;46(5):385-424
pubmed: 12750833