title: Numerical simulation of the crown of an incisiform tooth by conformal and polynomial regression mapping of a simple model.
abstract: We present a simple bowl-shaped model in the complex plane for the enamel and dentin structure of a tooth. Isochronous mode lines, and path lines representing the paths followed by individual ameloblasts and odontoblasts, form a simple regular mesh in the model. After the conformal map W = Z2, the transformed model is remarkably tooth like. To further improve the simulation of the crown of an incisiform tooth in particular, we compare our results to our own data from actual teeth and data from the literature. This leads us (a) to adjust the initial model so that the mesh of mode and path lines intersects the boundary of the tooth in a realistic way, and (b) to refine the mapping using least-squares regression to fit polynomial functions of Z and W to the available data.
authors.affiliation: Department of Civil Engineering and Operation Research, Princeton University, NJ 08544.
authors.forename: C
authors.initials: C
authors.lastname: Goodall
authors.forename: S H
authors.initials: SH
authors.lastname: Kim
authors.forename: L
authors.initials: L
authors.lastname: Moss-Salentijn
authors.forename: M
authors.initials: M
authors.lastname: Shinozuka
mesh_terms: D003198:Computer Simulation; D006801:Humans; D008954:Models, Biological; D009805:Odontogenesis; D009811:Odontometry / Q000379:methods; D014070:Tooth / Q000033:anatomy & histology*