A novel mathematical model to simulate and predict tissue regenerationGeris, Liesbet ; ; in Middleton, J.; Jones, M. L.; Shrive, N. (Eds.) Proceedings of the 7th international symposium on Computer Methods in Biomechanics and Biomedical Engineering (2006) Detailed reference viewed: 2 (0 ULg) The influence of mechanical parameters on tissue differentiation and bone formation around immediately loaded implants in the bone chamber model; ; Geris, Liesbet et alin Computer Methods in Biomechanics & Biomedical Engineering (2005, September), 8(4), 275-276 Detailed reference viewed: 2 (0 ULg)![]() Numerical simulation and experimental validation of murine fracture healingGeris, Liesbet ; ; et alin Proceedings of the fifth national day on biomedical engineering (2005) Detailed reference viewed: 1 (0 ULg)![]() Numerical simulation and experimental validation of murine fracture healingGeris, Liesbet ; ; et alin Proceedings of the European Conference on Mathematical and Theoretical Biology (2005) Detailed reference viewed: 2 (0 ULg)![]() Efficient and robust simulation of tissue differentiation in fracture healing; Geris, Liesbet ![]() in Proceedings of the European Conference on Mathematical and Theoretical Biology (2005) ![]() De invloed van mechanische parameters op de weefselrespons bij immediaat belaste titanium implantaten; ; et al in Proceedings van het Congres Verbond der Vlaamse Tandartsen (2005) Detailed reference viewed: 7 (0 ULg) Different mechanoregulatory models predict different patterns of tissue differentiationGeris, Liesbet ; ; et alin Middleton, J.; Jones, M. L.; Shrive, N. (Eds.) Proceedings of the 6th international symposium on Computer Methods in Biomechanics and Biomedical Engineering (2005) Detailed reference viewed: 2 (1 ULg) Reliable and efficient numerical simulation of a model of tissue differentiation in a bone chamber model; Geris, Liesbet ; et alin Bischoff, G. (Ed.) Micro- and Nanostructures of Biological Systems (2005) For the study of peri-implant tissue differentiation, a repeated sampling bone chamber has been developed. Mathematical models, which describe tissue differentiation, help to gain insight into the ... [more ▼] For the study of peri-implant tissue differentiation, a repeated sampling bone chamber has been developed. Mathematical models, which describe tissue differentiation, help to gain insight into the processes taking place in the chamber. We consider here the numerical solution of a taxis-diffusion-reaction partial differential equation model. The general approach is the method of lines and we pay special attention to transfer qualitative features of the solution to the numerical approximation. These features are the conservation of mass principle and the nonnegativity of concentration values. This is achieved by following the finite volume idea and by employing positivity preserving spatial discretization, respectively. An instructive example is given. The time integration is performed with ROWMAP, a suitable implicit time integration method with time step size control. Altogether, this yields a reliable and efficient numerical solution technique. A numerical simulation of the tissue differentiation process in the chamber is presented and discussed. [less ▲] Detailed reference viewed: 7 (1 ULg) Mechanobiology of bone regeneration and bone adaptation to achieve stable long-term fixation of endosseous implantsGeris, Liesbet ; ; et alin Zeman, M. E.; Cerrolaza, M. (Eds.) Computational Modeling of Tissue Surgery (2005) Detailed reference viewed: 8 (0 ULg) Kanttekeningen bij immediate belasting van orale implantaten; Geris, Liesbet ; et alin de Baat, C.; Aps, J. K. N.; Brands, W. G. (Eds.) et al Het Tandheelkundig jaar 2006 (2005) Detailed reference viewed: 26 (0 ULg) Experimental and numerical study of fracture healing in a murine fracture modelGeris, Liesbet ; ; et alPoster (2005) Detailed reference viewed: 1 (0 ULg) Tissue differentiation during fracture healing in mice: comparison of an experimental and numerical studyGeris, Liesbet ; ; et alin Proceedings of the first thematic workshop of the European Society of Biomechanics on Mechanobiology of Cells and Tissue Engineering (2005) Detailed reference viewed: 4 (0 ULg) The effect of micromotion on tissues surrounding immediately loaded implants; ; Geris, Liesbet et alin Computer Methods in Biomechanics & Biomedical Engineering (2005), 8(S1), 93-94 Detailed reference viewed: 3 (0 ULg) The influence of mechanical parameters on tissue differentiation and bone formation around immediately loaded implants in the bone chamber model; ; Geris, Liesbet et alin Proceedings of the first thematic workshop of the European Society of Biomechanics on Mechanobiology of Cells and Tissue Engineering (2005) Detailed reference viewed: 4 (0 ULg) Prediction of bone regeneration in an in vivo bone chamber: application of different mathematical modelsGeris, Liesbet ; ; et alPoster (2004, June) Detailed reference viewed: 2 (0 ULg)![]() Numerical simulation of tissue differentiation around loaded implants in a bone chamberGeris, Liesbet ; in In Proceedings of the Mini-Symposium Biomécanique de l'appareil locomoteur (2004) ![]() Application of different mathematical models for the prediction of bone regeneration in an in vivo bone chamber; Geris, Liesbet ; et alin Lecture notes of workshop Numerical models of bone adaptation and repair (2004) Numerical simulation of tissue differentiation around loaded titanium implants in a bone chamber.Geris, Liesbet ; ; et alin Journal of Biomechanics (2004), 37(5), 763-9 The application of a bone chamber provides a controlled environment for the study of tissue differentiation and bone adaptation. The influence of different mechanical and biological factors on the ... [more ▼] The application of a bone chamber provides a controlled environment for the study of tissue differentiation and bone adaptation. The influence of different mechanical and biological factors on the processes can be measured experimentally. The goal of the present work is to numerically model the process of peri-implant tissue differentiation inside a bone chamber, placed in a rabbit tibia. 2D and 3D models were created of the tissue inside the chamber. A number of loading conditions, corresponding to those applied in the rabbit experiments, were simulated. Fluid velocity and maximal distortional strain were considered as the stimuli that guide the differentiation process of mesenchymal cells into fibroblasts, chondrocytes and osteoblasts. Mesenchymal cells migrate through the chamber from the perforations in the chamber wall. This process is modelled by the diffusion equation. The predicted tissue phenotypes as well as the process of tissue ingrowth into the chamber show a qualitative agreement with the results of the rabbit experiments. Due to the limited number of animal experiments (four) and the observed inter-animal differences, no quantitative comparison could be made. These results however are a strong indication of the feasibility of the implemented theory to predict the mechano-regulation of the differentiation process inside the bone chamber. [less ▲] Detailed reference viewed: 5 (0 ULg) The mechanobiology of tissue differentiation around immediately loaded implants: a bone chamber experimentGeris, Liesbet ; ; et alin Proceedings of the 14th conference of the European Society of Biomechanics (2004) Detailed reference viewed: 10 (3 ULg) |
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