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A method for analyzing the stability of the resting state for a model of pacemaker cells surrounded by stable cells
Rotating antibiotics selects optimally against antibiotic resistance, in theory
1.  Department of Mathematics, Imperial College London, SW7 2AZ, London, United Kingdom, United Kingdom 
Using mathematical models that do not explicitly incorporate the spatial dynamics of pathogen transmission within the ICU or hospital and assuming the antibiotics are from distinct functional groups, we use a control theoreticapproach to prove that one can relax the medical notion of what constitutes an antibiotic rotation and so obtain protocols that are arbitrarily close to the optimum. Finally, we show that theoretical feedback control measures that rotate between different antibiotics motivated directly by the outcome of clinical studies can be deployed to good effect to reduce the prevalence of antibiotic resistance below what can be achieved with random antibiotic use.
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