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A mathematical model for antibiotic control of bacteria in peritoneal dialysis associated peritonitis

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  • A study of the process of pharmacokinetics-pharmacodynamics (PKPD) of antibiotics and their interaction with bacteria during peritoneal dialysis associated peritonitis (PDAP) is presented. We propose a mathematical model describing the evolution of bacteria population in the presence of antibiotics for different peritoneal dialysis regimens. Using the model along with experimental data, clinical parameters, and physiological values, we compute variations in PD fluid distributions, drug concentrations, and number of bacteria in peritoneal and extra-peritoneal cavities. Scheduling algorithms for the PD exchanges that minimize bacteria count are investigated.
    Mathematics Subject Classification: Primary: 92C35, 92C45, 92C50, 92C60; Secondary: 92B05, 92C05.


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