An Upstream Finite Volume Scheme for a Bone Healing Model

Alexandre Uzureau, Yves Coudiere, Mazen Saad


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.


bone growth; finite volume method; numerical simulation

Full Text:




  • There are currently no refbacks.

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

Indexed by: Mathematical Reviews (MathSciNet), Zentralblatt MATH, Academic Serach Premier, Academic Search Elite, Academic Search Complete, Academic Search Ultimate