Development of mathematical models and efficient algorithms to simulate the loading conditions of the periodontium in dental biomechanics: clinical and experimental validation

在这个子项目#5的第一阶段，已经建立了新的体内和体外实验装置，并在牙周膜的数学建模和数值模拟方面取得了新的进展。第一阶段的核心成果之一是建立了一个完整的测量-建模-仿真-验证链作为反馈回路。特别关注的是牙周组织的时间依赖行为和不同健康状态的影响。首先是体外测试，再加上正在进行的体外和体内研究和模拟，揭示了加载速度对力/挠度特性的极端影响，正如几位作者早些时候所报道的那样。然而，精度和速度范围可以显著扩展。第二阶段的主要工作将是将所开发的方法和装置应用于临床，并在体外和体内测量数据的基础上进一步完善所开发的数学和数值模型。在临床研究阶段，将要求子项目#2、#4、#7和#8的临床工作组提供支持。

In the first project phase of this subproject #5, newly developed in-vivo- and in-vitro experimental devices have been constructed and new developments for the mathematical modeling and the numerical simulation of the periodontal ligament (PDL) have been performed. One of the central results of this first period is that a complete measurement - modeling - simulation - validation chain has been established as feedback loop. Particular focus was placed on the time-dependant behavior and the impact of varying health status of the periodontium. First in-vitro-tests together with ongoing in-vitro- and in-vivo-studies and simulations revealed an extreme influence of the loading velocity on the force/deflection characteristics, as reported earlier by several authors. However, accuracy and velocity range could be extended significantly. The main focus of the second project phase will be the clinical application of the developed methods and devices and further refinement of the developed mathematical und numerical models on the basis of the data acquired by in-vitro- and in-vivo measurements.Tooth mobilities of patients will be measured with different periodontal status using the intraoral measurement device. The clinical work groups of the subprojects #2, #4, #7 and #8 will be asked for support in the clinical study phase.