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Human Masticatory Muscle Forces during Static Biting

J.C. Nickel1,2, L.R. Iwasaki1,2,3, R.D. Walker4, K.R. McLachlan5, and W.D. McCall, Jr.6

1 University of Nebraska Medical Center College of Dentistry, Departments of Growth and Development and
2 Oral Biology, 40th and Holdrege Streets, PO Box 830740, Lincoln, NE 68583-0755, USA;
4 Private Practice, 3200 North Dobson Rd., Building A, Chandler, AZ 85224, USA;
5 University of Manitoba, Faculty of Engineering, Department of Civil Engineering, Winnipeg, MB R3T 2N2, Canada; and
6 University at Buffalo School of Dental Medicine, Department of Oral Diagnostic Sciences, 355 Squire Hall, Buffalo, NY 14214-3008, USA;




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Figure 1. Mechanical schemes. (A) Force vectors involved in numerical models of isometric biting in humans. Forces on the mandible (e.g., vertical bite force), at the joints (Fcondyle, R = right, L = left), and representing 5 muscle pairs (m1,2 = masseter, m3,4 = anterior temporalis, m5,6 = lateral pterygoid, m7,8 = medial pterygoid, m9,10 = anterior digastric muscles), plus the axis system, are shown. (Modified from Smith et al., 1986). (B) Equivalent moments for in vivo (1) and modeled (2) molar (+ Mx) and incisor (+ Mz) biting tasks. Line diagrams illustrate mesial views of mandibular right first molar (top) and left central incisor (bottom) with acrylic crowns in place, where: CR is the center of resistance of the tooth/teeth, r-> is the moment arm vector, {Theta}y is the angle away from vertical, and {Theta}xz is in a plane parallel to the occlusal plane.

 



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Figure 2. Effective TMJ eminence results. (A) Eminence height (mm), predicted by the model vs. measured, for a given postero-anterior position from 0 to 5.0 mm anterior to a retruded condylar position, in 0.5-mm increments, for subject m1 ("worst-case", {diamondsuit}) and subject m4 ("best-case", *). (B) Sagittal morphology of the effective TMJ eminence in each of the six subjects. The vertical axis represents the eminence height (mm) relative to a retruded condylar position and perpendicular to the occlusal plane, and the horizontal axis represents condylar protrusion (mm) from the retruded position. Function beyond 5 mm of protrusion was unlikely, since this placed mandibular incisors anterior to maxillary incisors in all subjects.

 



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Figure 3. Examples of model results for biting tasks. (A) Predicted I/C muscle force ratios for molar biting tasks at a range of bite force angles that created moments equivalent to in vivo biting at lateral, center, and medial positions. MJL model predictions for masseter ({diamond}) and anterior temporalis ({square}) muscles and MME model predictions for masseter ({triangleup}) and anterior temporalis (X) muscles are shown for subject f1. Please note the discontinuity of scale in the vertical axis. (B) Predicted normalized muscle forces for incisor biting tasks at a range of bite force angles that created moments equivalent to in vivo biting at posterior, center, and anterior positions. Masseter muscle force predictions from MJL model ({diamond} subject f1, {diamondsuit} subject m5) and from MME model ({triangleup} subject f1, {blacktriangleup} subject m5), and anterior temporalis muscle force predictions from MJL model ({square} subject f1, {blacksquare} subject m5) and from MME model ({circ} subject f1, • subject m5).

 





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