A hybrid individual-based mathematical model to study bladder infections

Anas Lasri Doukkali; Tommaso Lorenzi; Benjamin J. Parcell; Jennifer L. Rohn; Ruth Bowness

doi:10.3389/fams.2023.1090334

A hybrid individual-based mathematical model to study bladder infections

Anas Lasri Doukkali, Tommaso Lorenzi, Benjamin J. Parcell, Jennifer L. Rohn, Ruth Bowness (Lead / Corresponding author)

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

51 Downloads (Pure)

Abstract

Introduction: Bladder infections are common, affecting millions each year, and are often recurrent problems.

Methods: We have developed a spatial mathematical framework consisting of a hybrid individual-based model to simulate these infections in order to understand more about the bacterial mechanisms and immune dynamics. We integrate a varying bacterial replication rate and model bacterial shedding as an immune mechanism.

Results: We investigate the effect that varying the initial bacterial load has on infection outcome, where we find that higher bacterial burden leads to poorer outcomes, but also find that only a single bacterium is needed to establish infection in some cases. We also simulate an immunocompromised environment, confirming the intuitive result that bacterial spread typically progresses at a higher rate.

Conclusions: With future model developments, this framework is capable of providing new clinical insight into bladder infections.

Original language	English
Article number	1090334
Journal	Frontiers in Applied Mathematics and Statistics
Volume	9
DOIs	https://doi.org/10.3389/fams.2023.1090334
Publication status	Published - 3 Feb 2023

Keywords

bladder
Escherichia coli
individual-based
infection
mathematical
model
simulation

ASJC Scopus subject areas

Statistics and Probability
Applied Mathematics

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10.3389/fams.2023.1090334Licence: CC BY

Final Published VersionFinal published version, 2.92 MBLicence: CC BY

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title = "A hybrid individual-based mathematical model to study bladder infections",

abstract = "Introduction: Bladder infections are common, affecting millions each year, and are often recurrent problems. Methods: We have developed a spatial mathematical framework consisting of a hybrid individual-based model to simulate these infections in order to understand more about the bacterial mechanisms and immune dynamics. We integrate a varying bacterial replication rate and model bacterial shedding as an immune mechanism. Results: We investigate the effect that varying the initial bacterial load has on infection outcome, where we find that higher bacterial burden leads to poorer outcomes, but also find that only a single bacterium is needed to establish infection in some cases. We also simulate an immunocompromised environment, confirming the intuitive result that bacterial spread typically progresses at a higher rate. Conclusions: With future model developments, this framework is capable of providing new clinical insight into bladder infections.",

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author = "{Lasri Doukkali}, Anas and Tommaso Lorenzi and Parcell, {Benjamin J.} and Rohn, {Jennifer L.} and Ruth Bowness",

note = "Funding Information: RB was supported by a fellowship funded by the Medical Research Council, MR/P014704/1, and also acknowledges funding from the Academy of Medical Sciences (London), the Wellcome Trust (London), the UK Government Department of Business, Energy and Industrial Strategy (London), the British Heart Foundation (London), and the Global Challenges Research Fund (Swindon, UK; grant number SBF003\1052). TL gratefully acknowledges support from the Italian Ministry of University and Research (MUR) through the grant Dipartimenti di Eccellenza 2018-2022 (Project no. E11G18000350001) and the PRIN 2020 project (No. 2020JLWP23) Integrated Mathematical Approaches to Socio-Epidemiological Dynamics (CUP: E15F21005420006). Publisher Copyright: Copyright {\textcopyright} 2023 Lasri Doukkali, Lorenzi, Parcell, Rohn and Bowness.",

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AU - Lorenzi, Tommaso

AU - Parcell, Benjamin J.

AU - Rohn, Jennifer L.

AU - Bowness, Ruth

N1 - Funding Information: RB was supported by a fellowship funded by the Medical Research Council, MR/P014704/1, and also acknowledges funding from the Academy of Medical Sciences (London), the Wellcome Trust (London), the UK Government Department of Business, Energy and Industrial Strategy (London), the British Heart Foundation (London), and the Global Challenges Research Fund (Swindon, UK; grant number SBF003\1052). TL gratefully acknowledges support from the Italian Ministry of University and Research (MUR) through the grant Dipartimenti di Eccellenza 2018-2022 (Project no. E11G18000350001) and the PRIN 2020 project (No. 2020JLWP23) Integrated Mathematical Approaches to Socio-Epidemiological Dynamics (CUP: E15F21005420006). Publisher Copyright: Copyright © 2023 Lasri Doukkali, Lorenzi, Parcell, Rohn and Bowness.

PY - 2023/2/3

Y1 - 2023/2/3

N2 - Introduction: Bladder infections are common, affecting millions each year, and are often recurrent problems. Methods: We have developed a spatial mathematical framework consisting of a hybrid individual-based model to simulate these infections in order to understand more about the bacterial mechanisms and immune dynamics. We integrate a varying bacterial replication rate and model bacterial shedding as an immune mechanism. Results: We investigate the effect that varying the initial bacterial load has on infection outcome, where we find that higher bacterial burden leads to poorer outcomes, but also find that only a single bacterium is needed to establish infection in some cases. We also simulate an immunocompromised environment, confirming the intuitive result that bacterial spread typically progresses at a higher rate. Conclusions: With future model developments, this framework is capable of providing new clinical insight into bladder infections.

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A hybrid individual-based mathematical model to study bladder infections

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