Article (Scientific journals)
Mathematical modeling of fracture healing in mice: comparison between experimental data and numerical simulation results.
Geris, Liesbet; Gerisch, Alf; Maes, Christa et al.
2006In Medical and Biological Engineering and Computing, 44 (4), p. 280-9
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Keywords :
Animals; Cartilage/injuries/radiography; Computer Simulation; Fracture Healing; Mice; Models, Animal; Tibial Fractures/radiography
Abstract :
[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.
Disciplines :
Computer science
Microbiology
Mechanical engineering
Surgery
Biochemistry, biophysics & molecular biology
Author, co-author :
Geris, Liesbet  ;  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
Language :
English
Title :
Mathematical modeling of fracture healing in mice: comparison between experimental data and numerical simulation results.
Publication date :
2006
Journal title :
Medical and Biological Engineering and Computing
ISSN :
0140-0118
eISSN :
1741-0444
Publisher :
Springer, New York, United States - New York
Volume :
44
Issue :
4
Pages :
280-9
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 26 August 2010

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