Temporomandibular joint and its two-dimensional and three-dimensional modelling |
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Authors: | P Hliňáková T Dostálová J Daněk J Nedoma I Hlaváček |
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Affiliation: | 1. Charles University, 2nd Medical Faculty, Department of Paediatric Stomatology, Prague, Czech Republic;2. Department of Mathematics, University of West Bohemia, Pilsen, Czech Republic;3. Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague, Czech Republic;4. Mathematical Institute AS CR, Prague, Czech Republic |
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Abstract: | Detailed knowledge about the function and morphology of temporomandibular joint are necessary for clinical applications and for analyses of the function of temporomandibular joint prosthesis. Movements of temporomandibular joint 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 temporomandibular joint. In the paper the analysis of the temporomandibular joint, 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 temporomandibular joint 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. |
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Keywords: | 65N30 74B05 74S05 |
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