An Upstream Finite Volume Scheme for a Bone Healing Model

Alexandre Uzureau, Yves Coudiere, Mazen Saad

Abstract


This paper is devoted to the introduction of a numerical scheme for a bone healing model and simulation of skull fractures. The mathematical model describes the evolution of mesenchymal stem cells, osteoblasts, bone matrix and osteogenic growth factor. We propose a numerical scheme based on an implicit finite volume method constructed on an orthogonal mesh. The efficiency and robustness of the scheme are shown in simulating a skull fracture in rats.

Keywords


bone growth; finite volume method; numerical simulation

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DOI: http://dx.doi.org/10.11145/j.biomath.2012.09.254

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ISSN 1314-7218 (online)
ISSN 1314-684X (print)

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