Developing A Mathematical Formula to Estimate The Occlusal Vertical Dimension.
ÖZGÜN ARAŞTIRMA ORIGINAL RESEARCH
Med J SDU / SDÜ Tıp Fak Derg u 2020:27(1):79-84 doi: 10.17343/sdutfd.596669
DEVELOPING A MATHEMATICAL FORMULA TO
ESTIMATE OCCLUSAL VERTICAL DIMENSION
OKLÜZAL DİKEY BOYUTUN TAHMİNİ İÇİN MATEMATİKSEL
BİR FORMÜLÜN GELİŞTİRİLMESİ
Nurullah TÜRKER¹, Ulviye Şebnem BÜYÜKKAPLAN¹, Mehmet Mustafa ÖZARSLAN¹, Mutlu ÖZCAN².
¹Akdeniz University, Faculty of Dentistry, Department of Prosthodontics, Antalya, Türkiye.
²University of Zürich, Dental Materials Unit, Center for Dental and Oral Medicine, Clinic for Fixed and Removable
Prosthodontics and Dental Materials Science, Zurich, Switzerland.
Cite this article as: Türker N, Büyükkaplan UŞ, Özarslan MM, Özcan M. Developing A Mathematical Formula To Estimate
Occlusal Vertical Dimension. Med J SDU 2020; 27(1): 79-84.
Öz
Amaç
Bu çalışmanın amacı antropometrik noktalar arasındaki mesafeyi kullanarak oklüzal dikey boyutu yüksek
hassasiyetle hesaplayabilen matematiksel bir formülün elde edilmesidir.
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.
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.
Anahtar Kelimeler: Oklüzal dikey boyut, regresyon
formula, tam dişsizlik, antropometri.
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.
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.
Abstract
Objective
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.
İletişim kurulacak yazar/Corresponding author:
Müracaat tarihi/Application Date: 25.07.2019 • Kabul tarihi/Accepted Date: 02.10.2019
Available online at http://dergipark.gov.tr/sdutfd
Makaleye http://dergipark.gov.tr/sdutfd web sayfasından ulaşılabilir.
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Süleyman Demirel Üniversitesi Tıp Fakültesi Dergisi
Estimating Occlusal Vertical Dimension
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.
Introduction
demographic data. The research was conducted with
full accordance with the World Medical Association
Declaration of Helsinki.
Vertical dimension which occurs when the teeth in
maxilla and mandible are in occlusion is called as occlusal vertical dimension (OVD) (1). Re-obtaining of
this distance in individuals who lost their OVD due to
tooth loss is one of the most important stages of prosthetic treatment. Several methods were reported for
the detection of OVD (2). Additionally, none of these
methods are sufficient when they are used separately
so OVD determination is achieved via a combination
of several techniques (2). Anthropometric methods
are also used besides several methods in order to determine OVD. In these methods, OVD determination
is achieved via numeric data which are obtained by
measuring the distances between several parts of the
head. Therefore, the possibility to experimentally verify the result is higher when compared to other methods. There is a number of studies which researched
the relation between the distances of anthropometric
points and OVD (3-7). Some researchers who studied different populations tried to obtain mathematical
formulas which can explain OVD for the entire population (7-10). The relation between anthropometric
distances can vary according to the races (11). Distances between soft tissue in face and head are measured via different methods in determination of OVD
(3-5,12). Due to the differences in the methods used
in obtaining the measurements and the anthropometric points taken into consideration, different results
were obtained in the studies related to the subject (2).
The aim of this study is to obtain a mathematical formula that can calculate OVD with high accuracy using
the distance between anthropometric points.
Material and Methods
The study has been reviewed by independent reviewers and approved by Akdeniz University Faculty of
Medicine Clinical Researches Ethics Committee. All
individuals had given a written informed consent for
taking their photographs and using them and other
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Keywords: Occlusal vertical dimension, regression
formula, total edentulism,anthropometrics.
The study was conducted in the Akdeniz University
Faculty of Dentistry. Individuals with Class I occlusion
who had no congenital or acquired defect on their faces and had no tooth loss or dental wear that could
cause a loss of vertical dimension were included in
the study. All the measurements between the anthropometric points were performed on the photographs
taken from the individuals. Recommendations in previous studies were followed in the photo-shooting phase
(5,13,14). In the study, a 24.2-megapixel camera and
a macro lens with focal length between 90 and 120
mm, 1/50 shutter release speed and f/5 lens opening (Nikon D5200, Tokyo, Japan) were used. White
light source (100485 HR S (...truncated)