Frontiers in Applied Mathematics and Statistics (Feb 2023)
A hybrid individual-based mathematical model to study bladder infections
Abstract
IntroductionBladder infections are common, affecting millions each year, and are often recurrent problems.MethodsWe 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.ResultsWe 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.ConclusionsWith future model developments, this framework is capable of providing new clinical insight into bladder infections.
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