References
- Avery JK. 2000. Essentials of oral histology and embryology: a clinical approach. 2nd ed. St. Louis: Mosby, Inc.
- Beertsen W, McCulloch CAG, Sodek J. 1997. The periodontal ligament: a unique, multifunctional connective tissue. Periodontol 2000. 13:20–40.
- Bergomi M, Cugnoni J, Galli M, Botsis J, Belser UC, Wiskott HWA. 2011. Hydro-mechanical coupling in the periodontal ligament: a porohyperelastic finite element model. J Biomech. 44(1):34–38.
- Berkovitz B. 1990. The structure of the periodontal ligament: an update. Eur J Orthod. 12(1):51–76.
- Bernick S. 1960. The organization of the periodontal membrane fibres of the developing molars of rats. Arch Oral Biol. 2:57–63.
- Bonet J, Wood RD. 2008. Nonlinear continuum mechanics for finite element analysis. Cambridge: Cambridge University Press.
- Bosshardt DD, Bergomi M, Vaglio G, Wiskott A. 2008. Regional structural characteristics of bovine periodontal ligament samples and their suitability for biomechanical tests. J Anat. 212(3):319–329.
- Géradin M, Cardona A. 2001. Flexible multibody dynamics: a finite element approach. Chichester: John Wiley & Sons, Ltd.
- de Jong T, Bakker AD, Everts V, Smit TH. 2017. The intricate anatomy of the periodontal ligament and its development: lessons for periodontal regeneration. J Periodontal Res. 52(6):965–974.
- Dean R. 2017. The periodontal ligament: development, anatomy and function. J Oral Heal Dent Manag. 16:1–7.
- Favino M, Gross C, Drolshagen M, Keilig L, Deschner J, Bourauel C, Krause R. 2013. Validation of a heterogeneous elastic-biphasic model for the numerical simulation of the PDL. Comput Methods Biomech Biomed Eng. 16(5):544–553.
- Fill TS, Carey JP, Toogood RW, Major PW. 2011. Experimentally determined mechanical properties of, and models for, the periodontal ligament: Critical review of current literature. J Dent Biomech. 2:1–10.
- Fill TS, Toogood RW, Major PW, Carey JP. 2012. Analytically determined mechanical properties of, and models for the periodontal ligament: critical review of literature. J Biomech. 45(1):9–16.
- Huang L, Liu B, Cha JY, Yuan G, Kelly M, Singh G, Hyman S, Brunski JB, Li J, Helms JA. 2016. Mechanoresponsive properties of the periodontal ligament. J Dent Res. 95(4):467–475.
- Komatsu K, Sanctuary C, Shibata T, Shimada A, Botsis J. 2007. Stress-relaxation and microscopic dynamics of rabbit periodontal ligament. J Biomech. 40(3):634–644.
- Limbert G, Middleton J, Laizans J, Dobelis M, Knets I. 2003. A transversely isotropic hyperelastic constitutive model of the PDL. analytical and computational aspects. Comput Methods Biomech Biomed Eng. 6(5-6):337–345.
- McCormack SW, Witzel U, Watson PJ, Fagan MJ, Gröning F. 2014. The biomechanical function of periodontal ligament fibres in orthodontic tooth movement. PLoS One. 9(7):e102387.
- Natali AN, Carniel EL, Pavan PG, Sander FG, Dorow C, Geiger M. 2008. A visco-hyperelastic-damage constitutive model for the analysis of the biomechanical response of the periodontal ligament. J Biomech Eng. 130(3):031004
- Natali AN, Pavan PG, Venturato C, Komatsu K. 2011. Constitutive modeling of the non-linear visco-elasticity of the periodontal ligament. Comput Methods Programs Biomed. 104(2):193–198.
- Naveh GRS, Brumfeld V, Shahar R, Weiner S. 2013. Tooth periodontal ligament: direct 3D microCT visualization of the collagen network and how the network changes when the tooth is loaded. J Struct Biol. 181(2):108–115.
- Naveh GRS, Foster JE, Silva Santisteban TM, Yang X, Olsen BR. 2018. Nonuniformity in ligaments is a structural strategy for optimizing functionality. Proc Natl Acad Sci USA. 115(36):9008–9013.
- Naveh GRS, Lev-Tov Chattah N, Zaslansky P, Shahar R, Weiner S. 2012a. Tooth-PDL-bone complex: Response to compressive loads encountered during mastication - A review. Arch Oral Biol. 57(12):1575–1584.
- Naveh GRS, Shahar R, Brumfeld V, Weiner S. 2012b. Tooth movements are guided by specific contact areas between the tooth root and the jaw bone: a dynamic 3D microCT study of the rat molar. J Struct Biol. 177(2):477–483.
- Ortún-Terrazas J, Cegoñino J, Santana-Penín U, Santana-Mora U, Pérez del Palomar A. 2018. Approach towards the porous fibrous structure of the periodontal ligament using micro-computerized tomography and finite element analysis. J Mech Behav Biomed Mater. 79:135–149.
- Ortún-Terrazas J, Cegoñino J, Santana-Penín U, Santana-Mora U, Pérez del Palomar A. 2019. A porous fibrous hyperelastic damage model for human periodontal ligament: application of a micro-computerized tomography finite element model. Int J Numer Meth Biomed Eng. 35(4):e3176.
- Provatidis CG. 2000. A comparative FEM-study of tooth mobility using isotropic and anisotropic models of the periodontal ligament. Finite Element Method. Med Eng Phys. 22(5):359–370.
- Qian H, Chen J, Katona TR. 2001. The influence of PDL principal fibers in a 3-dimensional analysis of orthodontic tooth movement. Am J Orthod Dentofacial Orthop. 120(3):272–279.
- Shinogaya T, Bakke M, Thomsen CE, Vilmann A, Sodeyama A, Matsumoto M. 2001. Effects of ethnicity, gender and age on clenching force and load distribution. Clin Oral Invest. 5(1):63–68.
- Zhurov AI, Limbert G, Aeschlimann DP, Middleton J. 2007. A constitutive model for the periodontal ligament as a compressible transversely isotropic visco-hyperelastic tissue. Comput Methods Biomech Biomed Eng. 10(3):223–235.