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...
Main Authors: | , , , , , , |
---|---|
Format: | Journal article |
Published: |
Elsevier
2019
|
_version_ | 1826306057514778624 |
---|---|
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. |
first_indexed | 2024-03-07T06:42:10Z |
format | Journal article |
id | oxford-uuid:f9ab3a2f-498c-4ddc-acb5-4cdf68cee79c |
institution | University of Oxford |
last_indexed | 2024-03-07T06:42:10Z |
publishDate | 2019 |
publisher | Elsevier |
record_format | dspace |
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 |
work_keys_str_mv | AT jayathilakec amathematicalmodeloftheuseofsupplementaloxygentocombatsurgicalsiteinfection AT mainip amathematicalmodeloftheuseofsupplementaloxygentocombatsurgicalsiteinfection AT hopfhw amathematicalmodeloftheuseofsupplementaloxygentocombatsurgicalsiteinfection AT mcelwains amathematicalmodeloftheuseofsupplementaloxygentocombatsurgicalsiteinfection AT byrnehm amathematicalmodeloftheuseofsupplementaloxygentocombatsurgicalsiteinfection AT fleggmb amathematicalmodeloftheuseofsupplementaloxygentocombatsurgicalsiteinfection AT fleggja amathematicalmodeloftheuseofsupplementaloxygentocombatsurgicalsiteinfection AT jayathilakec mathematicalmodeloftheuseofsupplementaloxygentocombatsurgicalsiteinfection AT mainip mathematicalmodeloftheuseofsupplementaloxygentocombatsurgicalsiteinfection AT hopfhw mathematicalmodeloftheuseofsupplementaloxygentocombatsurgicalsiteinfection AT mcelwains mathematicalmodeloftheuseofsupplementaloxygentocombatsurgicalsiteinfection AT byrnehm mathematicalmodeloftheuseofsupplementaloxygentocombatsurgicalsiteinfection AT fleggmb mathematicalmodeloftheuseofsupplementaloxygentocombatsurgicalsiteinfection AT fleggja mathematicalmodeloftheuseofsupplementaloxygentocombatsurgicalsiteinfection |