Temporomandibular Joint and its Two-Dimensional and Three-Dimensional Modelling

Authors: P. Hliňáková, T. Dostálová, Josef Daněk, Jiří Nedoma, Ivan Hlaváček
Publication year: 2010
Publication type: Článek v odborném periodiku
Periodical: Mathematics and Computers in Simulation
Bibliographic citation: HLIŇÁKOVÁ, P., DOSTÁLOVÁ, T., DANĚK, Josef, NEDOMA, Jiří, HLAVÁČEK, Ivan. Temporomandibular Joint and its Two-Dimensional and Three-Dimensional Modelling. Mathematics and Computers in Simulation. 2010, 80(6), 1256-1268. ISSN 0378-4754. E-ISSN 1872-7166
Dostupné z: doi:10.1016/j.matcom.2009.08.007
DOI: 10.1016/j.matcom.2009.08.007
ID: 340673

Abstract

Detailed knowledge about the function and morphology of temporomandibular joint (TMJ) are necessary for clinical applications and for analyses of the function of TMJ prosthesis. Movements of TMJ are biomechanically sophisticated and are up-to-date not clear. Therefore, the aim of the paper is to give the suitable mathematical approach for analyses of TMJ. In the paper the analysis of the TMJ, loaded by traction and compression forces, is presented and shortly discussed. The obtained results, based on two- and three-dimensional mathematical models, represent an introductory work for further studies of biomechanical aspects of TMJ and of its artificial replacements. The models are based on the theory of contact problems in linear elasticity. For the numerical solutions of the investigated problems the FEM approaches are used and the used algorithm is based on an active-set method for quadratic programming.