S. Braun et Wp. Hnat, DYNAMIC RELATIONSHIPS OF THE MANDIBULAR ANTERIOR SEGMENT, American journal of orthodontics and dentofacial orthopedics, 111(5), 1997, pp. 518-524
The hyperbolic cosine function is shown to be an accurate representati
on of the form of the mandibular anterior teeth from the canine/first
premolar contact on one side around the perimeter to the opposite side
(r = 0.951). On the basis of this mathematical function, the changes
in canine width, anterior segment depth, arch perimeter, and their rel
ated incisor angular alterations are forecastable. This knowledge will
allow the clinician to predict the effects on various aspects of the
anterior segment arch form as one or more of these variables are alter
ed without resorting to trial and error or performing a wax-up. For ex
ample, the clinician can predict the change in the anterior segment ar
ch depth and incisor angulation that would occur with alterations in c
anine width.