An Upstream Finite Volume Scheme for a Bone Healing Model
Keywords:bone growth, finite volume method, numerical simulation
AbstractThis 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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