A Finite Element Model for Bone Ingrowth into a Prosthesis

F. J. Vermolen (), E. M. van Aken, J. C. van der Linden and A. Andreykiv
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F. J. Vermolen: Delft University of Technology, Delft Institute of Applied Mathematics, Faculty of Electrical Engineering, Mathematics and Computer Science
E. M. van Aken: Delft University of Technology, Delft Institute of Applied Mathematics, Faculty of Electrical Engineering, Mathematics and Computer Science
J. C. van der Linden: Delft University of Technology, Mechanical, Maritime and Materials Engineering
A. Andreykiv: Delft University of Technology, Mechanical, Maritime and Materials Engineering

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 99-106 from Springer

Abstract: Abstract We consider a finite element method for a model of bone ingrowth into a prosthesis. Such a model can be used as a tool for a surgeon to investigate the bone ingrowth kinetics when positioning a prosthesis. The overall model consists of two coupled models: the biological part that consists of non-linear diffusion-reaction equations for the various cell densities and the mechanical part that contains the equations for poro-elasticity. The two models are coupled and in this paper the model is presented with some preliminary academic results. The model is used to carry out a parameter sensitivity analysis of ingrowth kinetics with respect to the parameters involved.

Keywords: Fracture Healing; Bone Ingrowth; Parameter Sensitivity Analysis; Incompressible Limit; Porous Tantalum (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_11

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DOI: 10.1007/978-3-540-69777-0_11

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