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ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

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In Figure 2 (left) the comparison between simulations and measurement is reported. The<br />

simulations have been performed both with a linear and a Neo-Hookean model. The<br />

employed parameters are reported in [3]. The non-linear model shows a better<br />

behaviour in the short-term response showing a convex curvature of the force. In the<br />

Figure 2 (right) the negative peak of pressure can be observed on the labial side: while<br />

the displacement is applied toward the buccal side, the interstitial fluid flows in the<br />

opposite direction.<br />

7. CONCLUSIONS<br />

The presented non-linear biphasic model produces reasonable accordance for the<br />

resulting range of forces. In particular we found a response more similar to the in-vitro<br />

measurements compared to the linear model.<br />

However, further investigations are necessary, in particular to fully understand the<br />

effects of the permeability parameters on the system response. Future works will also be<br />

addressed to understand the role of the fibre direction, extending the biphasic material<br />

model with an anisotropic material laws.<br />

8. REFERENCES<br />

1. W. Ehlers and B. Markert. A linear viscoelastic biphasic model for soft tissues based<br />

on the Theory of Porous Media. ASME Journal of Biomechanical Engineering,<br />

128:418–424, 2001.<br />

2. V. Mow, W. Lai, and M. Holmes. Advanced theoretical and experimental<br />

techniques in cartilage research. Biomechanics: principle and applications, 1, 1982.<br />

3. M. Favino, C. Gross, M. Drolshagen, L. Keilig, C. Bourauel, J.Deschner, and R.<br />

Krause. Validation of a heterogeneous elastic-biphasic model for the numerical<br />

simulation of the PDL. Accepted for publication to Computer Methods in<br />

Biomechanics and Biomedical Engineering, 2011.<br />

4. R. Bowen. Porous Elasticity: Lectures on the elasticity of porous materials as an<br />

application of the theory of mixtures. Available electronically from<br />

http://hdl.handle.net/1969.1/91297, 2010.<br />

5. P. Bastian, K. Birken, K. Johannsen, S.Lang, N. Neuß, H. Rentz-Reichert, and<br />

C.Wieners. UG – a flexible software toolbox for solving partial differential<br />

equations. Computing and Visualization in Science, 1: 27–40, 1997.

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