Effectiveness of Computation Using the Mathematical Model of the Mandibular Movement

Abstract

To analyse the relation between the occlusion and the mandibular position or movement, the use of the mathematical model of the mandibular movement is effective. However, the results of the analyses can not be shown visually by mathematical expressions and computed data only. Since it is important to present them visually so as to be understood easily and to show the effectiveness of theoretical analyses, drawings and graphs were devised.
The items of drawings and graphs devised are as follows:
1. Moving paths of teeth on the tooth arrangement (drawings) .
2. Influences of condylar path and incisal path on cusp path (drawings) .
3. Influences of condylar path and incisal path on the amount of disocclusion on a living body (graphs) .
4. Influences of the adjustment value of condylar path and the adjustment value of incisal table on the amount of disocclusion on an articulator (graphs) .
5. Influences of condylar path and incisal path on the amount of disocclusion on various molars (graphs) .
The methods to read the drawings and graphs were described and the signif icances of them were discussed. In result, the effectiveness of computation using the mathematical model of the mandibular movement was shown.