A mathematical model of the use of supplemental oxygen to combat surgical site infection

Infections are a common complication of any surgery, often requiring a recovery period in hospital. Supplemental oxygen therapy administered during and immediately after surgery is thought to enhance the immune response to bacterial contamination. However, aerobic bacteria thrive in oxygen-rich envi...

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Main Authors: Jayathilake, C, Maini, P, Hopf, HW, McElwain, S, Byrne, HM, Flegg, MB, Flegg, JA
Format: Journal article
Published: Elsevier 2019
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author Jayathilake, C
Maini, P
Hopf, HW
McElwain, S
Byrne, HM
Flegg, MB
Flegg, JA
author_facet Jayathilake, C
Maini, P
Hopf, HW
McElwain, S
Byrne, HM
Flegg, MB
Flegg, JA
author_sort Jayathilake, C
collection OXFORD
description Infections are a common complication of any surgery, often requiring a recovery period in hospital. Supplemental oxygen therapy administered during and immediately after surgery is thought to enhance the immune response to bacterial contamination. However, aerobic bacteria thrive in oxygen-rich environments, and so it is unclear whether oxygen has a net positive effect on recovery. Here, we develop a mathematical model of post-surgery infection to investigate the efficacy of supplemental oxygen therapy on surgical-site infections. A 4-species, coupled, set of non-linear partial differential equations that describes the space-time dependence of neutrophils, bacteria, chemoattractant and oxygen is developed and analysed to determine its underlying properties. Through numerical solutions, we quantify the efficacy of different supplemental oxygen regimes on the treatment of surgical site infections in wounds of different initial bacterial load. A sensitivity analysis is performed to investigate the robustness of the predictions to changes in the model parameters. The numerical results are in good agreement with analyses of the associated well-mixed model. Our model findings provide insight into how the nature of the contaminant and its initial density influence bacterial infection dynamics in the surgical wound.
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spelling oxford-uuid:f9ab3a2f-498c-4ddc-acb5-4cdf68cee79c2022-03-27T12:59:36ZA mathematical model of the use of supplemental oxygen to combat surgical site infectionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f9ab3a2f-498c-4ddc-acb5-4cdf68cee79cSymplectic Elements at OxfordElsevier2019Jayathilake, CMaini, PHopf, HWMcElwain, SByrne, HMFlegg, MBFlegg, JAInfections are a common complication of any surgery, often requiring a recovery period in hospital. Supplemental oxygen therapy administered during and immediately after surgery is thought to enhance the immune response to bacterial contamination. However, aerobic bacteria thrive in oxygen-rich environments, and so it is unclear whether oxygen has a net positive effect on recovery. Here, we develop a mathematical model of post-surgery infection to investigate the efficacy of supplemental oxygen therapy on surgical-site infections. A 4-species, coupled, set of non-linear partial differential equations that describes the space-time dependence of neutrophils, bacteria, chemoattractant and oxygen is developed and analysed to determine its underlying properties. Through numerical solutions, we quantify the efficacy of different supplemental oxygen regimes on the treatment of surgical site infections in wounds of different initial bacterial load. A sensitivity analysis is performed to investigate the robustness of the predictions to changes in the model parameters. The numerical results are in good agreement with analyses of the associated well-mixed model. Our model findings provide insight into how the nature of the contaminant and its initial density influence bacterial infection dynamics in the surgical wound.
spellingShingle Jayathilake, C
Maini, P
Hopf, HW
McElwain, S
Byrne, HM
Flegg, MB
Flegg, JA
A mathematical model of the use of supplemental oxygen to combat surgical site infection
title A mathematical model of the use of supplemental oxygen to combat surgical site infection
title_full A mathematical model of the use of supplemental oxygen to combat surgical site infection
title_fullStr A mathematical model of the use of supplemental oxygen to combat surgical site infection
title_full_unstemmed A mathematical model of the use of supplemental oxygen to combat surgical site infection
title_short A mathematical model of the use of supplemental oxygen to combat surgical site infection
title_sort mathematical model of the use of supplemental oxygen to combat surgical site infection
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