Berkovitz, B. K. B., Moxham, B. J., and Newmann, H. N., 1995, "*The Periodontal Ligament in Health and Disease*", Mosby-Wolfe, London.

Hinterkausen, M., Bourauel, C., Siebers, G., Haase, A., Drescher, D., and Nellen, B., 1998, “In Vitro Analysis of the Initial Tooth Mobility in a Novel Optomechanical Set-Up,” Med. Eng. Phys.

[CrossRef], 20 , pp. 40–49.

Mühlemann, H. R., 1955, “The Role of Interdental Contact Points and of Activation on Tooth Mobility,” J. Periodontol., 25 , pp. 125–137.

Parfitt, G. J., 1960, “Measurement of the Physiological Mobility of Individual Teeth in an Axial Direction,” J. Dent. Res., 39 , pp. 608–618.

Pini, M., Zysset, Ph., Botsis, J., and Contro, R., 2004, “Tensile and Compressive Behaviour of the Bovine Periodontal Ligament,” J. Biomech.

[CrossRef], 37 , pp. 111–119.

Ziegler, A., Keilig, L., Kawarizadeh, A., Jäger, A., and Bourauel, C., 2005, “Numerical Simulation of the Biomechanical Behaviour of Multirooted Teeth,” Eur. J. Orthod., 25 , pp. 333–339.

Andersen, K., Mortensen, H. T., Pedersen, E. H., and Melsen, B., 1991, “Determination of Stress Levels and Profiles in the Periodontal Ligament by Means of an Improved Three-Dimensional Finite Element Model for Various Types of Orthodontic and Natural Force,” J. Biomed. Eng.

[CrossRef], 13 , pp. 293–303.

Provatidis, C. G., 2000, “A Comparative Fem-Study of Tooth Mobility Using Isotropic and Anisotropic Models of the Periodontal Ligament,” Med. Eng. Phys.

[CrossRef], 22 , pp. 359–370.

Pietrzak, G., Curnier, A., Botsis, J., Scherrer, S., Wiskott, A., and Belser, U., 2002, “A Nonlinear Elastic Model of the Periodontal Ligament and Its Numerical Calibration for the Study of Tooth Mobility,” Comput. Methods Biomech. Biomed. Eng.

[CrossRef], 5 , pp. 91–100.

Maurel, W., Wu, Y., Magnenat Thalmann, N., and Thalmann, D., 1998, "*Biomechanical Models for Soft Tissue Simulation*", Springer, Berlin.

Weiss, J. A., Maker, B. N., and Govindjee, S., 1996, “Finite Element Implementation of Incompressible, Transversely Isotropic Hyperelasticity,” Comput. Methods Appl. Mech. Eng.

[CrossRef], 135 , pp. 107–128.

Natali, A. N., Pavan, P. G., and Scarpa, C., 2004, “Numerical Analysis of Tooth Mobility: Formulation of a Non-Linear Constitutive Law for the Periodontal Ligament,” Dent. Mater.

[CrossRef], 20 (7), pp. 623–629.

Holzapfel, G. A., and Gasser, T. C., 2001, “A Viscoelastic Model for Fibre-Reinforced Composites at Finite Strains: Continuum Basis, Computational Aspects and Applications,” Comput. Methods Appl. Mech. Eng.

[CrossRef], 190 , pp. 4379–4403.

Simo, J. C., and Hughes, T. J. R., 1998, "*Computational Inelasticity*", Springer, New York.

Natali, A. N., Pavan, P. G., Carniel, E. L., and Dorow, C., 2004, “Visco-Elastic Response of the Periodontal Ligament: An Experimental-Numerical Analysis,” Connect. Tissue Res., 45 , pp. 222–230.

Vena, P., Gastaldi, D., and Contro, R., 2006, “A Constituent-Based Model for the Nonlinear Viscoelastic Behavior of Ligaments,” ASME J. Biomech. Eng.

[CrossRef], 128 , pp. 449–457.

Nguyen, T. D., Jones, R. E., and Boyce, B. L., 2007, “Modeling the Anisotropic Finite-Deformation Viscoelastic Behavior of Soft Fiber-Reinforced Composites,” Int. J. Solids Struct.

[CrossRef], 44 , pp. 8366–8389.

Sverdlik, A., and Lanir, Y., 2002, “Time-Dependent Mechanical Behavior of Sheep Digital Tendons, Including the Effects of Preconditioning,” ASME J. Biomech. Eng.

[CrossRef], 124 , pp. 78–84.

Canga, M. E., Becker, E. B., and Ozupek, S., 2001, “Constitutive Modelling of Viscoelastic Materials With Damage—Computational Aspects,” Comput. Methods Appl. Mech. Eng.

[CrossRef], 190 , pp. 2207–2226.

Dorow, C., Krstin, N., and Sander, F. G., 2002, “Experiments to Determine the Material Properties of the Periodontal Ligament,” J. Orofac. Orthop., 63 , pp. 94–104.

Schechtman, H., and Bader, D. L., 1997, “In Vitro Fatigue of Human Tendons,” J. Biomech.

[CrossRef], 30 , pp. 829–35.

Schechtman, H., and Bader, D. L., 2001, “Fatigue Damage of Human Tendons,” J. Biomech.

[CrossRef], 35 , pp. 347–53.

Natali, A. N., Pavan, P. G., Carniel, E. L., Lucisano, M. E., and Taglialavoro, G., 2005, “Anisotropic Elasto-Damage Constitutive Model for the Biomechanical Analysis of Tendons,” Med. Eng. Phys.

[CrossRef], 27 , pp. 209–214.

Yamamoto, S., Saito, A., Kabayama, M., Sugimoto, S., Nagasaka, K., Mizuno, K., and Tanaka, E., 2003, “Strain-Rate Dependence of Mechanical Failure Properties of Rabbit MCL and ACL,” "*Summer Bioengineering Conference*", Royal Sonesta Resort, Key Biscayne, FL, Jun. 25–29.

Yamamoto, N., and Hayashi, K., 1998, “Mechanical Properties of Rabbit Patellar Tendon at High Strain Rate,” Biomed. Mater. Eng., 8 , pp. 83–90.

Danto, M. I., and Woo, S. L.-Y., 1993, “The Mechanical Properties of Skeletally Mature Rabbit Anterior Cruciate Ligament and Patellar Tendon Over a Range of Strain Rates,” J. Orthop. Res.

[CrossRef], 11 , pp. 58–67.

Natali, A. N., Pavan, P. G., Carniel, E. L., and Dorow, C., 2003, “A Transversally Isotropic Elasto-Damage Constitutive Model for the Periodontal Ligament,” Comput. Methods Biomech. Biomed. Eng.

[CrossRef], 6 , pp. 329–336.

Natali, A. N., Pavan, P. G., and Carniel, E. L., 2004, “Damage Phenomena in Anisotropic Soft Biological Tissues: A Constitutive Formulation,” Russian Journal of Biomechanics, 8 (3), pp. 43–60.

Gei, M., Genna, F., and Bigoni, D., 2002, “An Interface Model for the Periodontal Ligament,” ASME J. Biomech. Eng.

[CrossRef], 124 , pp. 538–546.

Nishihira, M., Yamamoto, K., Sato, Y., Ishikawa, H., and Natali, A. N., 2003, “Mechanics of Periodontal Ligament,” in "*Dental Biomechanics*", A.N.Natali, ed., Taylor & Francis, London, pp. 20–34.

Corana, A., Marchesi, M., Martini, C., and Ridella, S., 1987, “Minimizing Multimodal Functions of Continuous Variables With the Simulated Annealing Algorithm,” ACM Trans. Math. Softw.

[CrossRef], 13 (3), pp. 262–280.

Ning, X., Zhu, A., Lanir, Y., and Margulies, S. S., 2006, “A Transversely Isotropic Viscoelastic Constitutive Equation for Brainstem Undergoing Finite Deformation,” ASME J. Biomech. Eng.

[CrossRef], 128 , pp. 925–933.

Marsden, J. E., and Hughes, T. J. R., 1968, "*Mathematical Foundations of Elasticity*", Prentice-Hall, Englewood Cliffs, NJ.

McCrum, N. G., Buckley, C. P., and Bucknall, C. B., 1997, "*Principles of Polymers Engineering*", Oxford Science, Oxford.

Gurtin, M. E., 1981, "*An Introduction to Continuum Mechanics*", Academic, San Diego.

Holzapfel, G. A., 2000, "*Nonlinear Solid Mechanics*", Wiley, New York.

Spencer, A. J. M., 1984, "*Continuum Theory of the Mechanics of Fibre-Reinforced Composites*", Springer, New York.

Flory, P. J., 1961, “Thermodynamic Relations for High Elastic Materials,” Trans. Faraday Soc.

[CrossRef], 57 , pp. 829–838.

Natali, A. N., Carniel, E. L., Pavan, P. G., Dario, P., and Izzo, I., 2006, “Hyperelastic Models for the Analysis of Soft Tissue Mechanics: Definition of Constitutive Parameters,” "*Proceedings of 2006 IEEE/RAS-EMBS International Conference on Biomedical Robotics and Biomechatronics*", Pisa, Italy.

Marsden, J. E., and Hughes, T. J. R., 1968, "*Mathematical Foundations of Elasticity*", Prentice-Hall, Englewood Cliffs, NJ.

Rabinowitz, F. M., 1995, “Algorithm 744: A Stochastic Algorithm for Global Optimization With Constraints,” ACM Trans. Math. Softw.

[CrossRef], 21 (2), pp. 194–213.

Dorow, C., Schneider, J., and Sander, F. G., 2003, “Finite Element Simulation of In Vivo Tooth Mobility in Comparison With Experimental Results,” Journal of Mechanics in Medicine and Biology, 3 (1), pp. 79–94.

Hinterkausen, M., Bourauel, C., Siebers, G., Haase, A., Drescher, D., and Nellen, B., 1998, “In Vitro Analysis of the Initial Tooth Mobility in a Novel Optomechanical Set-Up,” Med. Eng. Phys.

[CrossRef], 20 , pp. 40–49.

Dorow, C., Krstin, N., and Sander, F. G., 2003, “Determination of the Mechanical Properties of the Periodontal Ligament in a Uniaxial Tensional Experiment,” J. Orofac. Orthop., 64 , pp. 100–107.

Funk, J. R., Hall, G. W., Crandall, J. R., and Pilkey, W. D., 1999, “Quasi-Linear Viscoelasticity of Ankle Ligaments,” "*23rd Annual Meeting of the American Society of Biomechanics*", Pittsburgh, PA.