Numerical simulation of the crown of an incisiform tooth by conformal and polynomial regression mapping of a simple model
| Autor: | S.H. Kim, C. Goodall, Masanobu Shinozuka, Letty Moss-Salentijn |
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| Rok vydání: | 1990 |
| Předmět: |
Statistics and Probability
Polynomial regression Polynomial General Immunology and Microbiology Computer simulation Applied Mathematics Mathematical analysis Boundary (topology) Conformal map General Medicine Models Biological General Biochemistry Genetics and Molecular Biology Simple (abstract algebra) Modeling and Simulation Humans Odontogenesis Odontometry Computer Simulation General Agricultural and Biological Sciences Ameloblast Complex plane Tooth Mathematics |
| Zdroj: | Journal of theoretical biology. 147(4) |
| ISSN: | 0022-5193 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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