Balanced occlusion is obtained through the interrelationship of the Hanau quint, which includes condylar guidance (CG), incisal guidance (IG), orientation of occlusal plane (OP), compensating curve (CC), and cuspal incline (CI). Once CG and IG are determined, the other three factors of OP, CC, and CI function among each other to balance the occlusion. This article describes a formula that is introduced to quantify a balanced occlusion within the context of the Hanau quint and discusses the limitations of the formula due to individual variabilities of mandibular movements.
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Hanau Quint Described as a Formula to Quantify Balanced Occlusion.
Compend Contin Educ Dent
February 2020
Clinical Assistant Professor, Department of Biologic and Materials Sciences and Prosthodontics, University of Michigan School of Dentistry, Ann Arbor, Michigan.
Balanced occlusion is obtained through the interrelationship of the Hanau quint, which includes condylar guidance (CG), incisal guidance (IG), orientation of occlusal plane (OP), compensating curve (CC), and cuspal incline (CI). Once CG and IG are determined, the other three factors of OP, CC, and CI function among each other to balance the occlusion. This article describes a formula that is introduced to quantify a balanced occlusion within the context of the Hanau quint and discusses the limitations of the formula due to individual variabilities of mandibular movements.
View Article and Find Full Text PDF[A mathematical model of 3-dimensional excursive movement of the mandible on Hanau articulator].
Sheng Wu Yi Xue Gong Cheng Xue Za Zhi
June 2007
Institute of Life Quality Via Mechanical Engineering, Shanghai University, Shanghai 200030, China.
Aiming at filling the vacancy in the study about mandibular movement, which mainly focuses on the field of biology at present, this study builds a mathematical model of 3-dimensional excursive movement of the mandible on Hanau articulator from the viewpoint of spatial mechanisms and analytical geometry. On the basis of the theory of spatial mechanisms, the freedom of motion of Hanau articulator is analyzed, and a hypothesis of constraints is presented, the objective of which is to restrict the mandibular movement. Based on the theory of analytical geometry, a series of mathematical expressions are derived to describe the 3-dimensional movement of the mandible mounted on the articulator.
View Article and Find Full Text PDFA computer analysis of condylar movement as determined by cuspal guidances.
J Prosthet Dent
May 1989
University of Western Australia, Dental School, Perth.
In 1926 Hanau proposed a link between incisal, condylar, and occlusal guidances of the stomatognatic system. This work has been extended by undertaking a computer simulation of the movement of the mandible between centric occlusion and centric relation in an effort to establish a possible mathematical relationship between the variables in Hanau's "Quint." One scheme is proposed by which the geometry of the guidances might be analyzed.
View Article and Find Full Text PDFOn the basis of Newtonian principles of applied mechanics, rotation around the mandibular hinge axis has been explored by separating this rotation from translation of the mandibular hinge axis. After quantitative comparison, it appears that hinge rotation is the primary physiologic movement of the mandible, and that the Hanau quint provides compensatory factors in facilitating hinge jaw movement. However, an unguided opening and closing of the mouth usually consists of rotation and translation that are six-dimensional in nature and very difficult to solve quantitatively without idealization and differentiation.
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