Developing A Mathematical Formula to Estimate The Occlusal Vertical Dimension.

Abstract

Aim: The aim of this study is to obtain a mathematical formula that can calculate occlusal vertical dimension with high accuracy, using the distance between the anthropometric points.

Material and Methods: One hundred and forty-eight subjects (74 males, 74 females) were included in the study. A digital calliper was used to measure the Subnasion-Menton (SnMe) and the sixteen other distances on the face. The correlation and regression analysis were performed to predict the SnMe distance. A mathematical formula was developed to explain the occlusal vertical dimension with the data obtained by the regression analysis. The accuracy of the formula was tested on data from individuals.

Results: Tragus-Tragus, Pupil-Pupil, Inner Canthus-Inner Canthus, Extra Chantus-Extra Chantus, Tragus-Chelion, Pupil-Nose Tip, Pupil-Subnasion , Pupil-Chelion, Tragus-Extra Chantus Vertical distances had a significant correlation with SnMe. The Total R² was  0.5926. With this formula, 54% accuracy was observed in calculating participants' SnMe distances. The SnMe distance was estimated to be 61% with an error margin of 1 mm and 73% with an error margin of 2.5 mm.

Conclusions: Some of the distances between the anthropometric points on the face have a significant relation with the occlusal vertical dimension. A mathematical formula, to be generated by the statistical analysis of the length values of these distances, can be used to calculate the occlusal vertical dimension.

Keywords

• occlusal vertical dimension,regression formula,total edentulism,anthropometrics

Project Number

114E653

Oklüzal Dikey Boyutunun Tahmini İçin Matematiksel Bir Formülün Geliştirilmesi

Abstract

Amaç: Bu çalışmanın amacı antropometrik noktalar arasındaki mesafeyi kullanarak oklüzal dikey boyutu yüksek hassasiyetle hesaplayabilen matematiksel bir formülün elde edilmesidir.

Gereç ve Yöntem:  Çalışmaya yüz kırk sekiz gönüllü (74 erkek, 74 kadın) dahil edildi. Subnasion-Menton ve yüzdeki diğer on altı mesafeyi ölçmek için dijital bir kumpas kullanıldı. Subnasion-Menton mesafesini tahmin etmek için korelasyon ve regresyon analizi yapıldı. Regresyon analizi ile elde edilen verilerle okluzal dikey boyutu açıklayan matematiksel bir formül geliştirildi. Formülün doğruluğu bireylerden elde edilen veriler üzerinde test edildi.

Bulgular: Subnasion-Menton mesafesi Tragus-Tragus, Pupil-Pupil, Inner Canthus-Inner Canthus, Extra Chantus-Extra Chantus, Tragus-Chelion, Pupil-Nose Tip, Pupil-Subnasion , Pupil-Chelion, Tragus-Extra Chantus mesafeleri ile anlamlı korelasyon gösterdi. Toplam R², 0.5926 idi. Elde edilen formül ile katılımcıların SnMe uzaklıklarının hesaplanmasında % 54 doğruluk oranı gözlendi. Subnasion Menton mesafesi, 1 mm hata payıyla % 61, 2,5 mm hata payıyla % 73 oranında doğru olarak hesaplandı.

Sonuç: Yüzdeki antropometrik noktalar arasındaki mesafelerin bir kısmı oklüzal dikey boyutla anlamlı bir ilişkiye sahiptir.. Bu mesafelerin uzunluk değerlerinin istatistiksel analizi ile oluşturulan matematiksel bir formül, oklüzal dikey boyutun hesaplanmasında kullanılabilir.

Keywords

• oklüzal vertikal boyut,regresyon formülü,tam dişsizlik,antropometri

Supporting Institution

Türkiye Bilimsel ve Teknolojik Araştırma Kurumu (TÜBİTAK)

Project Number

114E653

Thanks

Bu çalışma “Ulusal Yeni Fikir ve Ürünler Araştırma Destek Programı” kapsamında 114E653 numaralı “Türkiye Bilimsel ve Teknolojik Araştırma Kurumu (TÜBİTAK)” tarafından finanse edilmiştir.

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