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Physiologically Based Pharmacokinetic Model of Magnesium Implant Absorption and Distribution in Tissue and Organs
John P Ward1, Safia K Ahmed1, Yang Liu2
1Department of Mathematical Sciences, Loughborough University, Loughborough LE11, U.K.
Abstract:
The long-term accumulation of magnesium (Mg-(II)) ions in human patients resulting from the biodegradation of clinical Mg (alloy) implants is investigated using a physiologically based pharmakinetic (PBPK) mathematical model. In severe cases, an excess of Mg in blood (hypermagnesemia) causes a range of health concerns and potentially death. Studies investigating clinical Mg devices generally indicate that there is little risk in healthy patients; however, there is concern that excessive Mg accumulation may occur in patients who are elderly, have osteoporosis, and/or have renal disease. The PBPK model describes the time evolution of Mg concentrations in blood, tissue, and bone compartments in response to Mg sourced from diet and implant(s) devices, over the implant's lifetime. It predicts that Mg absorption in the tissue and bone compartments is the key factor in modulating long-term serum levels due to their large volume and Mg load. Furthermore, the time scale of observable accumulation can take several months to years, suggesting that for vulnerable patients, the Mg levels should be monitored throughout the lifespan of an Mg implant. Most of the model parameters can be estimated from simple patient measurements; thus, the model is the first step toward a practical patient-specific framework for Mg and for other biodegradable implant devices to inform medical treatments in response to the potential long-term accumulation of biodegraded products.
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