Details of talk
|Title||A mathematical model of the use of supplemental oxygen to combat surgical site infection|
|Presenter||Jennifer Flegg (The University of Melbourne)|
Infections are a common complication of any surgery, often requiring a recovery period in hospital. Supplemental oxygen therapy, where 80% oxygen is administered during and immediately after surgery, supports 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 that allows us to predict the efficacy of supplemental oxygen therapy on surgical-site infections. Oxygen-dependent behaviour of both bacteria and immune cells are modelled with a set of partial differential equations that are solved numerically to predict bacterial density within the wound over time. 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 numerical solutions are obtained. We quantify the efficacy of different supplemental oxygen treatment regimes in the treatment of surgical site infections in wounds of different initial bacterial load. Our findings illustrate how the nature of the contaminant and its initial density influence the ability to establish bacterial infection in the wound.