An Upstream Finite Volume Scheme for a Bone Healing Model
DOI:
https://doi.org/10.11145/j.biomath.2012.09.254Keywords:
bone growth, finite volume method, numerical simulationAbstract
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. WeВ 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.
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2012-09-28
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