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Journal of Biomechanical Engineering | Volume 128 | Issue 2 | TECHNICAL PAPERS
TECHNICAL PAPERS: Joint/Whole Body

3D Finite Element Simulation of the Opening Movement of the Mandible in Healthy and Pathologic Situations

[+] Author and Article Information
A. Pérez del Palomar

Group of Structural Mechanics Materials Modeling, Aragón Institute of Engineering Research (I3A), University of Zaragoza, Spain

M. Doblaré

Group of Structural Mechanics Materials Modeling, Aragón Institute of Engineering Research (I3A), University of Zaragoza, Spainmdoblare@unizar.es

J Biomech Eng 128(2), 242-249 (Sep 26, 2005) (8 pages) doi:10.1115/1.2165697 History: Received January 27, 2005; Revised September 26, 2005
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Citing Articles

One of the essential causes of disk disorders is the pathologic change in the ligamentous attachments of the disk-condyle complex. In this paper, the response of the soft components of a human temporomandibular joint during mouth opening in healthy and two pathologic situations was studied. A three-dimensional finite element model of this joint comprising the bone components, the articular disk, and the temporomandibular ligaments was developed from a set of medical images. A fiber reinforced porohyperelastic model was used to simulate the behavior of the articular disk, taking into account the orientation of the fibers in each zone of this cartilage component. The condylar movements during jaw opening were introduced as the loading condition in the analysis. In the healthy joint, it was obtained that the highest stresses were located at the lateral part of the intermediate zone of the disk. In this case, the collateral ligaments were subject to high loads, since they are responsible of the attachment of the disk to the condyle during the movement of the mandible. Additionally, two pathologic situations were simulated: damage of the retrodiscal tissue and disruption of the lateral discal ligament. In both cases, the highest stresses moved to the posterior part of the disk since it was displaced in the anterior-medial direction. In conclusion, in the healthy joint, the highest stresses were located in the lateral zone of the disk where perforations are found most often in the clinical experience. On the other hand, the results obtained in the damaged joints suggested that the disruption of the disk attachments may cause an anterior displacement of the disk and instability of the joint.
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Copyright © 2006 by American Society of Mechanical Engineers
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References

1
Nickel, J. C., and McLachlan, K. R., 1994, “In Vitro Measurement of the Frictional Properties of the Temporomandibular Joint Disc,” Arch. Oral Biol., 39 (4), pp. 323–331.
2
Gray, H., 1998, "Gray’s Anatomy: The Anatomical Basis of Medicine and Surgery", 38th ed., Harcourt, Vol. 1 .
3
Rouviere, H., and Delmas, A., 1985, "Anatomie Humaine", Masson, Vol. 1 .
4
Prater, M. E., Bailey, B. J., and Quinn, F. B., 1998, “Temporomandibular Joint Disorders,” "The University of Texas Medical Branch".
5
Cooper, B., Oberdorfer, M., Rumpf, D., Malakhova, O., Rudman, R., and Mariotti, A., 1999, “Trauma Modifies Strength and Composition of Retrodiscal Tissues of the Goat Temporomandibular Joint,” Oral Dis., 5 (4), pp. 329–336.
6
Weinberg, S., and Lapointe, H., 1987, “Cervical Extension-Flexion Injury (Whiplash) and Internal Derangement of the Temporomandibular Joint,” J. Oral Maxillofac Surg., 45 (8), pp. 653–656.
7
Jergenson, M., and Barton, J., 1998, “The Occurrence of TMJ Disc Perforations in an Aging Population,” J. Dent. Res., 77 , p. 77.
8
Dworkin, S. F., Huggins, K. H., LeResche, L., VonKorff, M., Howard, J., Truelove, E., and Sommers, E., 1990, “Epidemiology of Signs and Symptoms in Temporomandibular Disorders: Clinical Signs in Cases and Controls,” J. Am. Dent. Assoc., 120 (3), pp. 273–281.
9
Chen, J., and Xu, L., 1994, “A Finite Element Analysis of the Human Temporomandibular Joint,” J. Biomech. Eng., 116 , pp. 401–407.
10
DeVocht, J. W., Goel, V. K., Zeitler, D. L., and Lew, D. A., 1996, “A Study of the Control of Disc Movement Within the Temporomandibular Joint Using the Finite Element Technique,” J. Oral Maxillofac Surg., 54 , pp. 1431–1437.
11
Chen, J., Akyuz, U., Xu, L., and Pidaparti, R. M. V., 1998, “Stress Analysis of the Human Temporomandibular Joint,” Med. Eng. Phys., 20 , pp. 565–572.
12
Nagahara, K., Murata, S., Nakamura, S., and Tsuchiya, T., 1999, “Displacement and Stress Distribution in the Temporomandibular Joint During Clenching,” Angle Orthod., 69 , pp. 372–379.
13
Beek, M., Koolstra, J. H., van Ruijven, L. J., and van Eijden, T. M. G. J., 2000, “Three-Dimensional Finite Element Analysis of the Human Temporomandibular Joint Disc,” J. Biomech.  [CrossRef], 33 , pp. 307–316.
14
Beek, M., Koolstra, J. H., van Ruijven, L. J., and van Eijden, T. M. G. J., 2001, “Three-Dimensional Finite Element Analysis of the Cartilaginous Structures in the Human Temporomandibular Joint,” J. Dent. Res., 80 , pp. 1913–1918.
15
Hu, K., Qiguo, R., Fang, J., and Mao, J. J., 2003, “Effects of Condylar Fibrocartilage on the Biomechanical Loading of the Human Temporomandibular Joint in a Three-Dimensional, Nonlinear Finite Element Model,” Med. Eng. Phys., 25 , pp. 107–113.
16
Tanaka, E., Rodrigo, P., Tanaka, M., Kawaguchi, A., Shibazaji, T., and Tanne, K., 2001, “Stress Analysis in the TMJ During Jaw Opening by Use of a Three Dimensional Finite Element Model Based on Magnetic Resonance Images,” Int. J. Oral Maxillofac Surg., 30 , pp. 421–430.
17
Tanaka, E., del Pozo, R., Tanaka, M., Asai, D., Hirose, M., Iwabe, T., and Tanne, K., 2004, “Three Dimensional Finite Element Analysis of Human Temporomandibular Joint With and Without Disc Displacement During Jaw Opening,” Med. Eng. Phys., 26 , pp. 503–511.
18
Beek, M., Koolstra, J. H., and van Eijden, T. M. G. J., 2003, “Human Temporomandibular Joint Disc Cartilage as a Poroelastic Material,” Clin. Biomech. (Los Angel. Calif.), 18 , pp. 69–76.
19
Donzelli, P. S., Gallo, L. M., Spilker, R. L., and Palla, S., 2004, “Biphasic Finite Element Simulation of the TMJ Disc from in Vivo Kinematic and Geometric Measurements,” J. Biomech., 37 (11), pp. 1787–1791.
20
Pérez-Palomar, A., and Doblaré, M., 2006, “The Effect of Collagen Reinforcement in the Behaviour of the Temporomandibular Joint Disc,” J. Biomech. (in press).
21
Pérez-Palomar, A., 2004, “Three-Dimensional Finite Element Simulation of the Temporomandibular Joint,” (in Spanish), PhD thesis, University of Zaragoza, Spain.
22
Pérez-Palomar, A., and Doblaré, M., 2006, “On the Numerical Simulation of the Mechanical Behaviour of Articular Cartilage,” Int. J. Numer. Methods Eng. (in press).
23
Holzapfel, G. A., 2000, "Nonlinear Solid Mechanics", Wiley, New York.
24
Berkovitz, B. K. B., 2000, “Collagen Crimping in the Intra-Articular Disc and Articular Surfaces of the Human Temporomandibular Joint,” Arch. Oral Biol., 45 , pp. 749–756.
25
Hibbit, Karlsson, and Sorensen, Inc., 2003, "Abaqus User’s Manual", HKS Inc., Pawtucket, RI, 6.4 .
26
Weiss, J. A., Maker, B. N., and Govindje, S., 1996, “Finite Element Implementation of Incompressible, Transversely Isotropic Hyperelasticity,” Comput. Methods Appl. Mech. Eng.  [CrossRef], 135 , pp. 107–128.
27
Tanaka, E., del Pozo, R., Sugiyama, M., and Tanne, K., 2002, “Biomechanical Response of Retrodiscal Tissue in the Temporomandibular Joint Under Compression,” J. Oral Maxillofac Surg., 60 , pp. 546–551.
28
Tanaka, E., Tanne, K., and Sakuda, M. A., 1994, “A Three Dimensional Finite Element Model of the Mandible Including the TMJ and Its Application to Stress Analysis in the TMJ During Clenching,” Med. Eng. Phys., 16 , pp. 316–322.
29
Shengyi, T., and Yinghua, X., 1991, “Biomechanical Properties and Collagen Fiber Orientation of TMJ Discs in Dogs: Part I. Gross Anatomy and Collagen Fiber Orientation of the Discs,” J. Craniomandib Disord., 5 , pp. 28–34.
30
Suh, J. K., Spilker, R. L., and Holmes, M. R., 1991, “A Penalty Finite Element Analysis for Non-Linear Mechanics of Biphasic Hydrated Soft Tissue Under Large Deformation,” Int. J. Numer. Methods Eng.  [CrossRef], 32 , pp. 1411–1439.
31
Almeida, E. S., and Spilker, R. L., 1997, “Mixed and Penalty Finite Element Models for the Nonlinear Behaviour of Biphasic Soft Tissues in Finite Deformation: Part I Alternate Formulations,” Comput. Methods Biomech. Biomed. Eng., 1 , pp. 25–46.
32
Almeida, E. S., and Spilker, R. L., 1997, “Mixed and Penalty Finite Element Models for the Nonlinear Behaviour of Biphasic Soft Tissues in Finite Deformation: Part II Nonlinear Examples,” Comput. Methods Biomech. Biomed. Eng., 1 , pp. 151–170.
33
Koolstra, J. H., and van Eijden, T. M. G. J., 2004, “Functional Significance of the Coupling Between Head and Jaw Movements,” J. Biomech., 37 , pp. 1387–1392.
34
Chen, J., and Buckwalter, K., 1993, “Displacement Analysis of the Temporomandibular Condyle from Magnetic Resonance Images,” J. Biomech., 26 , pp. 1455–1462.
35
Lindauer, S. J., Sabol, G., Isaacson, R. J., and Davidovitch, M., 1995, “Condylar Movement and Mandibular Rotation During Jaw Opening,” Alma Mater. (Baltimore), 107 (6), pp. 573–577.
36
Osborn, J. W., 1989, “The Temporomandibular Ligament and the Articular Eminence as Constraints During Jaw Opening,” J. Oral Rehabil., 16 , pp. 323–333.
37
Werner, J. A., Tillmann, B., and Schleicher, B., 1991, “Functional Anatomy of the Temporomandibular Joint,” Anat. Embryol., 183 , pp. 89–95.
38
Nitzan, D. W., Mahler, Y., and Simkin, A., 1992, “Intra-Articular Pressure Measurements in Patients With Suddenly Developing, Severely Limited Mouth Opening,” J. Oral Maxillofac Surg., 50 (10), pp. 1038–1042.
39
Wingstrand, H., Wingstrand, A., and Krantz, P., 1990, “Intracapsular and Atmospheric Pressure in the Dynamics and Stability of the Hip: A Biomechanical Study,” Acta Orthop. Scand., 61 (3), pp. 231–235.
40
May, B., Saha, S., and Saltzman, M., 2001, “A Three-Dimensional Mathematical Model of Temporomandibular Joint Loading,” Clin. Biomech. (Los Angel. Calif.), 16 , pp. 489–495.
41
Takaku, S., Yoshida, M., Sano, T., and Toyoda, T., 1996, “Magnetic Resonance Images in Patients with Acute Traumatic Injury of the Temporomandibular Joint: A Preliminary Report,” J. Craniomaxillofac Surg., 24 (3), pp. 173–177.
42
Sano, T., 2000, “Recent Developments in Understanding Temporomandibular Disorders,” Dentomaxillofac Radiol., 29 , pp. 260–263.
43
Oberg, T., Carlsson, G. E., and Fajers, C. M., 1971, “The Temporomandibular Joint. A Morphologic Study on Human Autopsy Material,” Acta Odontol. Scand., 29 , pp. 349–384.
44
Stratmann, U., Schaarschmidt, K., and Santamaria, P., 1996, “Morphologic Investigation of Condylar Cartilage and Disc Thickness in the Human Temporomandibular Joint: Significance for the Definition of Osteoarthrotic Changes,” J. Oral Pathol. Med., 25 , pp. 202–205.
45
Kurita, H., Ohtsuka, A., and Kobayashi, H., 2000, “The Relationship Between the Degree of Disk Displacement and Ability to Perform Disk Reduction,” Oral Surg. Oral Med. Oral Pathol. Oral Radiol. Endod., 90 , pp. 16–20.
46
Osborn, J. W., 1985, “The Disc of the Human Temporomandibular Joint: Design, Function and Failure,” J. Oral Rehabil., 12 , pp. 279–293.

Figures

Grahic Jump Location
+Finite element model of the TMJ
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Finite element model of the TMJ
Figure 1

Finite element model of the TMJ

Grahic Jump Location
+Schematic diagram of fibers distribution in the articular disk and finite element model of the disk
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Schematic diagram of fibers distribution in the articular disk and finite element model of the disk
Figure 2

Schematic diagram of fibers distribution in the articular disk and finite element model of the disk

Grahic Jump Location
+Diagram of the mandible where the plane of movement is defined. The displacement is imposed on the condyle at P.
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Diagram of the mandible where the plane of movement is defined. The displacement is imposed on the condyle at P.
Figure 3

Diagram of the mandible where the plane of movement is defined. The displacement is imposed on the condyle at P.

Grahic Jump Location
+Displacement of the right condyle on the plane of movement (X and Y) and its rotation (Θ). In continuous lines, the input displacement introduced in the FE simulation; in dotted lines, the results obtained by Chen (34)
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Displacement of the right condyle on the plane of movement (X and Y) and its rotation (Θ). In continuous lines, the input displacement introduced in the FE simulation; in dotted lines, the results obtained by Chen (34)
Figure 4

Displacement of the right condyle on the plane of movement (X and Y) and its rotation (Θ). In continuous lines, the input displacement introduced in the FE simulation; in dotted lines, the results obtained by Chen (34)

Grahic Jump Location
+Details of the two pathologic situations under study: on the left, disruption of the retrodiscal tissue; on the right, disruption of the lateral attachment of the disk to the condyle
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Details of the two pathologic situations under study: on the left, disruption of the retrodiscal tissue; on the right, disruption of the lateral attachment of the disk to the condyle
Figure 5

Details of the two pathologic situations under study: on the left, disruption of the retrodiscal tissue; on the right, disruption of the lateral attachment of the disk to the condyle

Grahic Jump Location
+Evolution of the opening movement of the jaw: Closed position (left), 10.5mm opening (middle), 17.5mm opening (right)
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Evolution of the opening movement of the jaw: Closed position (left), 10.5mm opening (middle), 17.5mm opening (right)
Figure 6

Evolution of the opening movement of the jaw: Closed position (left), 10.5mm opening (middle), 17.5mm opening (right)

Grahic Jump Location
+Comparison of the maximal principal (SMAX) and minimal principal (SMIN) stresses in the disk between the healthy joint and one where the lateral attachment of the disk has been removed (damaged)
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Comparison of the maximal principal (SMAX) and minimal principal (SMIN) stresses in the disk between the healthy joint and one where the lateral attachment of the disk has been removed (damaged)
Figure 10

Comparison of the maximal principal (SMAX) and minimal principal (SMIN) stresses in the disk between the healthy joint and one where the lateral attachment of the disk has been removed (damaged)

Grahic Jump Location
+Comparison of the maximal principal (SMAX) and minimal principal (SMIN) stresses in the disk between a healthy joint and one where the retrodiscal tissue has been removed (damaged)
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of the maximal principal (SMAX) and minimal principal (SMIN) stresses in the disk between a healthy joint and one where the retrodiscal tissue has been removed (damaged)
Figure 9

Comparison of the maximal principal (SMAX) and minimal principal (SMIN) stresses in the disk between a healthy joint and one where the retrodiscal tissue has been removed (damaged)

Grahic Jump Location
+Evolution of the maximum principal (SMAX), minimum principal (SMIN) stresses, and pore pressure (PRESS) in the disk during the opening movement. Top and bottom surfaces of the disk are shown, with the following labels: A, anterior; P, Posterior; L, Lateral; and M, Medial.
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Evolution of the maximum principal (SMAX), minimum principal (SMIN) stresses, and pore pressure (PRESS) in the disk during the opening movement. Top and bottom surfaces of the disk are shown, with the following labels: A, anterior; P, Posterior; L, Lateral; and M, Medial.
Figure 7

Evolution of the maximum principal (SMAX), minimum principal (SMIN) stresses, and pore pressure (PRESS) in the disk during the opening movement. Top and bottom surfaces of the disk are shown, with the following labels: A, anterior; P, Posterior; L, Lateral; and M, Medial.

Grahic Jump Location
+Evolution of maximal principal stresses (SMAX) in the temporomandibular ligament and in the collateral ligaments during opening. These elements are shown in lateral and medial views.
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Evolution of maximal principal stresses (SMAX) in the temporomandibular ligament and in the collateral ligaments during opening. These elements are shown in lateral and medial views.
Figure 8

Evolution of maximal principal stresses (SMAX) in the temporomandibular ligament and in the collateral ligaments during opening. These elements are shown in lateral and medial views.

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