A review on mathematical analysis of paediatric dental arch with normal occlusion

Abu-Hussein Muhammad, Sarafianou Aspasia

Abstract


Many mathematical models were proposed in the literature to define the form of the human dental arch. This paper review the literatute to compare and analyse such dental studies with various mathematical models.


Keywords


Dental Arch; Mathematical Analysis; Normal Occlusion

References


Prabhakaran S, Sriram C, Muthu M, Rao C, Sivakumar N. Dental arch dimensions in primary dentition of children aged three to five years in Chennai and Hyderabad. Indian Journal of Dental Research. 2006;17(4):185-9.

Facal-Garcia M, de Nova-García J, Suarez-Quintanilla D. The diastemas in deciduous dentition: the relationship to the tooth size and the dental arches dimensions. Journal of Clinical Pediatric Dentistry. 2002;26(1):65-9.

Brader AC. Dental arch form related with intraoral forces: PR= C. American journal of orthodontics. 1972;61(6):541-61.

Harris EF. A longitudinal study of arch size and form in untreated adults. American journal of orthodontics and dentofacial orthopedics. 1997;111(4):419-27.

Ferrario V, Sforza C, Miani Jr A. Statistical evaluation of Monson’s sphere in healthy permanent dentitions in man. Archives of oral biology. 1997;42(5):365-9.

Ferrario VF, Sforza C, Colombo A, Ciusa V, Serrao G. Three-Dimensional inclination of the dental axes in healthy permanent dentitions-a cross-sectional study in a normal population. The Angle Orthodontist. 2001;71(4):257-64.

Ferrario VF, Sforza C, Poggio CE, Serrao G, Colombo A. Three-dimensional dental arch curvature in human adolescents and adults. American journal of orthodontics and dentofacial orthopedics. 1999;115(4):401-5.

Braun S, Hnat WP, Fender DE, Legan HL. The form of the human dental arch. The Angle Orthodontist. 1998;68(1):29-36.

Burris BG, Harris EF. Maxillary arch size and shape in American blacks and whites. The Angle Orthodontist.2000;70(4):297-302.

Noroozi H, Hosseinzadeh Nik T, Saeeda R. The dental arch form revisited. The Angle Orthodontist. 2001;71(5):386-9.

Poggio C, Mancini E, Salvato A. Valutazione degli effetti sulla forma d’arcata della terapia fissa e della recidiva mediante la thin plate spline analysis. Ortognatodonzia Italiana. 2000;9:345-50.

Biggerstaff R. Three variations in dental arch form estimated by a quadratic equation. Journal of dental research. 1972;51(5):1509.

Sampson PD. Dental arch shape: a statistical analysis using conic sections. American journal of orthodontics. 1981;79(5):535-48.

Jones M, Richmond S. An assessment of the fit of a parabolic curve to pre-and post-treatment dental arches. Journal of Orthodontics. 1989;16(2):85-93.

Begole EA. Application of the cubic spline function in the description of dental arch form. Journal of dental research. 1980;59(9):1549-56.

Battagel J. Individualized catenary curves: their relationship to arch form and perimeter. Journal of Orthodontics. 1996;23(1):21-8.

Pepe SH. Polynomial and catenary curve fits to human dental arches. Journal of Dental Research. 1975;54(6):1124-32.

AlHarbi S, Alkofide EA, AlMadi A. Mathematical analyses of dental arch curvature in normal occlusion. The Angle Orthodontist. 2008;78(2):281-7.

Ramfjord SP, Ash MM. Occlusion: WB Saunders Company; 1966.

Ross IF. Occlusion: A concept for the clinician: CV Mosby Company; 1970.

McDonald F, Ireland AJ, Ireland A, McDonald F. Diagnosis of the orthodontic patient: Oxford University Press; 1998.

Houston W, Stephens C, Tulley W. A textbook of orthodontics. Wright. Oxford; 1992.

Angle EH. Classification of malocclusion. Dent Cosmos. 1899;41(3):248-64.

Andrews LF. The six keys to normal occlusion. American Journal of Orthodontics. 1972;62(3):296-309.

Roth RH. Functional occlusion for the orthodontist. Journal of clinical orthodontics: JCO. 1981;15(1):32-51.

Oltramari PVP, Conti ACdCF, Navarro RdL, Almeida MRd, Almeida-Pedrin RRd, Ferreira FPC. Importance of occlusion aspects in the completion of orthodontic treatment. Brazilian dental journal. 2007;18(1):78-82.

Hayashi T. A mathematical analysis of the curve of dental arch. Bull Tokyo Med Dent Univ. 1956;3:175-218.

Lu K. An orthogonal analysis of the form, symmetry and asymmetry of the dental arch. Archives of oral biology. 1966;11(11):1057-69.

Pearson G, Longman C. The effect on marginal leakage,in vitro of curing a composite material at elevated temperatures with or without marginal etching of the cavity. Journal of Dentistry. 1987;15(4):171-4.

Abu-Hussein M, Sarafianou A. Mathematical analysis of dental arch of children in normal occlusion: a literature review. International Journal of Medical Dentistry. 2012;2(1):33-40.

Pintado M, Douglas W. The comparison of microleakage between two different dentin bonding resin systems. Quintessence international (Berlin, Germany: 1985).1988;19(12):905-7.

Schwartz J, Anderson M, Pelleu Jr G. Reducing microleakage with the glass-ionomer/resin sandwich technique. Operative dentistry. 1989;15(5):186-92.

Buschang P, Stroud J, Alexander R. Differences in dental arch morphology among adult females with untreated Class I and Class II malocclusion. The European Journal of Orthodontics. 1994;16(1):47-52.

Henrikson J, Persson M, Thilander B. Long-term stability of dental arch form in normal occlusion from 13 to 31 years of age. The European Journal of Orthodontics. 2001;23(1):51-61.


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