Reference : Mathematical modeling of fracture healing in mice: comparison between experimental data ...
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http://hdl.handle.net/2268/70312
Mathematical modeling of fracture healing in mice: comparison between experimental data and numerical simulation results.
English
Geris, Liesbet mailto [Faculty of Engineering, Division of Biomechanics and Engineering Design, K.U. Leuven, Celestijnenlaan 300C, 3001 Leuven, Belgium > > > >]
Gerisch, Alf [>Fachbereich Mathematik und Informatik, Institut fur Numerische Mathematik, Martin-Luther-Universitat Halle-Wittenberg, 06099 Halle (Saale), Germany > > > > > >]
Maes, Christa [Faculty of Medicine, Laboratory of Experimental Medicine and Endocrinology, K.U. Leuven, Herestraat 49, 3000 Leuven, Belgium > > > > > >]
Carmeliet, Geert [Faculty of Medicine, Laboratory of Experimental Medicine and Endocrinology, K.U. Leuven, Herestraat 49, 3000 Leuven, Belgium > > > > > >]
Weiner, Rudiger [Fachbereich Mathematik und Informatik, Institut fur Numerische Mathematik, Martin-Luther-Universitat Halle-Wittenberg, 06099 Halle (Saale), Germany > > > > > >]
Vander Sloten, Jos [Faculty of Engineering, Division of Biomechanics and Engineering Design, K.U. Leuven, Celestijnenlaan 300C, 3001 Leuven, Belgium > > > > > >]
Van Oosterwyck, Hans [Faculty of Engineering, Division of Biomechanics and Engineering Design, K.U. Leuven, Celestijnenlaan 300C, 3001 Leuven, Belgium > > > > > >]
2006
Medical & Biological Engineering & Computing
Springer
44
4
280-9
Yes (verified by ORBi)
International
0140-0118
1741-0444
New York
NY
[en] Animals ; Cartilage/injuries/radiography ; Computer Simulation ; Fracture Healing ; Mice ; Models, Animal ; Tibial Fractures/radiography
[en] The combined use of experimental and mathematical models can lead to a better understanding of fracture healing. In this study, a mathematical model, which was originally established by Bailon-Plaza and van der Meulen (J Theor Biol 212:191-209, 2001), was applied to an experimental model of a semi-stabilized murine tibial fracture. The mathematical model was implemented in a custom finite volumes code, specialized in dealing with the model's requirements of mass conservation and non-negativity of the variables. A qualitative agreement between the experimentally measured and numerically simulated evolution in the cartilage and bone content was observed. Additionally, an extensive parametric study was conducted to assess the influence of the model parameters on the simulation outcome. Finally, a case of pathological fracture healing and its treatment by administration of growth factors was modeled to demonstrate the potential therapeutic value of this mathematical model.
Researchers ; Professionals ; Students
http://hdl.handle.net/2268/70312
10.1007/s11517-006-0040-6

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