A simple mathematical study of anterior dental relations: Part I. 1995

M A Cordato

A mathematical study of the anterior dental relations could provide a rationale for the work of Neff and Bolton. Bolton used normal occlusions of permanent teeth to obtain his range of comparisons of tooth width ratios; a model that needs no normals is described in this study. Use of this model and its development could support or disprove further hypotheses regarding anterior occlusion. Manipulation of the model could allow a means of estimating the influence of several dental measurement variables on the relation between upper and lower dental arches. The formulae allow changes in the form and size of one or both arches individually and a comparison of an upper arch to different upper arches and a lower arch to different lower arches; and further, they allow these combinations of upper and lower arches to relate to each other. A reference plane between the arches is established to relate opposing arches to each other. The model is developed using the archform and angular measures of Bonwill and the mesiodistal widths of Bolton. Scope is provided in the model to allow for alteration of antero-posterior relations, spacing and crowding. Values for different amounts of overjet of incisors and maxillary canine tip could be generated by altering the figures to those of other authors' hypotheticals or by the use of individual patient data.

UI MeSH Term Description Entries
D007180 Incisor Any of the eight frontal teeth (four maxillary and four mandibular) having a sharp incisal edge for cutting food and a single root, which occurs in man both as a deciduous and a permanent tooth. (Jablonski, Dictionary of Dentistry, 1992, p820) Incisors
D007574 Jaw Relation Record A registration of any positional relationship of the mandible in reference to the maxillae. These records may be any of the many vertical, horizontal, or orientation relations. (Jablonski, Illustrated Dictionary of Dentistry) Axiography,Bite Registration,Sirognathography,Record, Jaw Relation,Records, Jaw Relation,Bite Registrations,Jaw Relation Records,Registration, Bite,Registrations, Bite
D008310 Malocclusion Such malposition and contact of the maxillary and mandibular teeth as to interfere with the highest efficiency during the excursive movements of the jaw that are essential for mastication. (Jablonski, Illustrated Dictionary of Dentistry, 1982) Angle's Classification,Crossbite,Tooth Crowding,Cross Bite,Angle Classification,Angles Classification,Bite, Cross,Bites, Cross,Classification, Angle's,Cross Bites,Crossbites,Crowding, Tooth,Crowdings, Tooth,Malocclusions
D008954 Models, Biological Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment. Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D009811 Odontometry Measurement of tooth characteristics.
D012016 Reference Values The range or frequency distribution of a measurement in a population (of organisms, organs or things) that has not been selected for the presence of disease or abnormality. Normal Range,Normal Values,Reference Ranges,Normal Ranges,Normal Value,Range, Normal,Range, Reference,Ranges, Normal,Ranges, Reference,Reference Range,Reference Value,Value, Normal,Value, Reference,Values, Normal,Values, Reference
D003481 Cuspid The third tooth to the left and to the right of the midline of either jaw, situated between the second INCISOR and the premolar teeth (BICUSPID). (Jablonski, Dictionary of Dentistry, 1992, p817) Canine Tooth,Canine Teeth,Cuspids,Teeth, Canine,Tooth, Canine
D003724 Dental Arch The curve formed by the row of TEETH in their normal position in the JAW. The inferior dental arch is formed by the mandibular teeth, and the superior dental arch by the maxillary teeth. Arch, Dental,Arches, Dental,Dental Arches
D003766 Dental Occlusion The relationship of all the components of the masticatory system in normal function. It has special reference to the position and contact of the maxillary and mandibular teeth for the highest efficiency during the excursive movements of the jaw that are essential for mastication. (From Jablonski, Dictionary of Dentistry, 1992, p556, p472) Canine Guidance,Occlusal Guidance,Occlusal Plane,Occlusion, Dental,Dental Occlusions,Guidance, Canine,Guidance, Occlusal,Occlusal Guidances,Occlusal Planes,Occlusions, Dental,Plane, Occlusal,Planes, Occlusal
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man

Related Publications

M A Cordato
October 1980, American journal of orthodontics,
M A Cordato
October 1980, American journal of orthodontics,
M A Cordato
June 1997, Journal of materials science. Materials in medicine,
M A Cordato
April 2007, Practical procedures & aesthetic dentistry : PPAD,
M A Cordato
December 1990, Gaoxiong yi xue ke xue za zhi = The Kaohsiung journal of medical sciences,
M A Cordato
January 1993, Acta radiologica (Stockholm, Sweden : 1987),
M A Cordato
October 1990, The Journal of nursing administration,
M A Cordato
January 1989, The Dental assistant,
M A Cordato
December 2011, Bulletin of mathematical biology,
M A Cordato
November 2006, The journal of contemporary dental practice,
Copied contents to your clipboard!