Nurullah TÜRKER, Ulviye Şebnem BÜYÜKKAPLAN, Mehmet Mustafa ÖZARSLAN, Mutlu ÖZCAN

DEVELOPING A MATHEMATICAL FORMULA TO ESTIMATE OCCLUSAL VERTICAL DIMENSION

ObjectiveThe aim of this study is to obtain a mathematical formula that can calculate occlusal vertical dimensionwith high accuracy, using the distance between theanthropometric points.Material and MethodsOne hundred and forty-eight subjects (74 males, 74females) were included in the study. A digital calliperwas used to measure the Subnasion-Menton (SnMe)and the sixteen other distances on the face. The correlation and regression analysis were performed topredict the SnMe distance. A mathematical formulawas developed to explain the occlusal vertical dimension with the data obtained by the regression analysis. The accuracy of the formula was tested on datafrom individuals.ResultsTragus-Tragus, Pupil-Pupil, Inner Canthus-InnerCanthus, 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 marginof 1 mm and 73% with an error margin of 2.5 mm.ConclusionsSome of the distances between the anthropometricpoints on the face have a significant relation with theocclusal 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.

OKLÜZAL DİKEY BOYUTUN TAHMİNİ İÇİN MATEMATİKSEL BİR FORMÜLÜN GELİŞTİRİLMESİ

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.

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