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Title of Journal: Biomech Model Mechanobiol

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Abbravation: Biomechanics and Modeling in Mechanobiology

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Springer Berlin Heidelberg

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1617-7940

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Mathematical modelling of the degradation behaviou

Authors: P Bajger J M A Ashbourn V Manhas Y Guyot K Lietaert L Geris
Publish Date: 2016/08/08
Volume: 16, Issue: 1, Pages: 227-238
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Abstract

A mathematical model for the biodegradation of magnesium is developed in this study to inspect the corrosion behaviour of biodegradable implants The aim of this study was to provide a suitable framework for the assessment of the corrosion rate of magnesium which includes the process of formation/dissolution of the protective film The model is intended to aid the design of implants with suitable geometries The levelset method is used to follow the changing geometry of the implants during the corrosion process A system of partial differential equations is formulated based on the physical and chemical processes that occur at the implantmedium boundary in order to simulate the effect of the formation of a protective film on the degradation rate The experimental data from the literature on the corrosion of a highpurity magnesium sample immersed in simulated body fluid is used to calibrate the model The model is then used to predict the degradation behaviour of a porous orthopaedic implant The model successfully reproduces the precipitation of the corrosion products on the magnesium surface and the effect on the degradation rate It can be used to simulate the implant degradation and the formation of the corrosion products on the surface of biodegradable magnesium implants with complex geometriesV Manhas and Y Guyot are funded by Belgian National Fund for Scientific Research FNRS grant FRFC 2456412 The research leading to these results has received funding from the European Research Council under the European Union’s Seventh Framework Programme FP/2007–2013/ERC Grant Agreement No 279100 The nanoCT images were generated using the Xray computed tomography facilities of the Department of Materials Engineering of the KU Leuven financed by the Hercules Foundation Project AKUL 09/001 Micro and nanoCT for the hierarchical analysis of materials

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