Modeling of the Stress Distribution in Temporomandibular Joint with Subtotal Replacement
The temporomandibular joint (TMJ) is one of the most complicated joints of the human skeleton. It is a complex, sensitive and highly mobile joint which works bilaterally so each side influences the contralateral joint and because of this the distribution of the stresses is changed in the healthy joint as well. Detailed knowledge about function these are necessary for clinical application of temporomandibular joint prosthesis and also help us estimate the lifetime of the prosthesis a possibilities of alteration in the contra lateral joint components. The mathematical model of TMJ with replacement is based on the theory of semi-coercive unilateral contact problems in linear elasticity and on finite element approximation. The geometrical model of the TMJP was created using the dataset of axial computer tomography. The main objective of our investigation is to discuss numerical results for model of TMJ with subtotal prosthesis and to characterize processes in joint as well as in replacement.
KeywordsContact problem Cyst Finite element method Linear elasticity Mathematical modeling Maxillofacial surgery Subtotal prosthesis Temporomandibular joint
The work was partially supported by the European Regional Development Fund (ERDF), project “NTIS - New Technologies for the Information Society”, European Centre of Excellence, CZ.1.05/1.1.00/02.0090, by the Grant IGA MZCR NT/13351-4 and by the long-term strategic development financing of the Institute of Computer Science (RVO:67985807).
- 1.Browne RM (1990) Investigative pathology of odontogenic cysts, 1st edn. CRC Press, Boca RatonGoogle Scholar
- 2.Daněk J, Dostálová T, Hubáček M, Mahdian N, Nedoma J (2012) Stress-strain analysis of the temporomandibular joint with subtotal prosthesis. In: Lecture notes in engineering and computer science: proceedings of the world congress on engineering and computer science (2012) WCECS 2012, 24–26 Oct 2012. San Francisco, pp 150–155Google Scholar
- 7.Nedoma J (2012) Mathematical models of odontogenic cysts and of fractures of jaw-bones. An introductory study. TR-1166, ICS ASCR, PragueGoogle Scholar
- 8.Nedoma J, Stehlík J, Hlaváček I, Daněk J, Dostálová T, Přečková P (2011) Mathematical and computational methods in biomechanics of human skeletal systems. An Introduction. Wiley, HobokenGoogle Scholar
- 11.Ward JP, Magar V, Franks SJ, Landini G (2004) A mathematical model of the dynamics of odontogenic cyst growth. Anal Quant Cytol Histol 26(1):39–46Google Scholar
- 12.Weijs WA, Hillen B (1985) Cross-sectional areas and estimated intrinsic strength of the human jaw muscles. Acta Morphol Nerrl Scand 23:267–274Google Scholar
- 13.Wolford LM, Mehra P (2000) Custom-made total joint prostheses for temporomandibular joint reconstruction. Proc (Bay Univ Med Cent) 13(2):135–138Google Scholar