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

在该子项目#5的第一项目阶段，构建了新开发的体内和体外实验装置，并对牙周膜（PDL）的数学建模和数值模拟进行了新的开发。第一阶段的主要成果之一是建立了一个完整的测量-建模-模拟-验证链作为反馈回路。特别关注的是时间依赖性的行为和不同的牙周健康状况的影响。正如几位作者之前所报告的，首次体外试验以及正在进行的体外和体内研究和模拟显示了加载速度对力/偏转特性的极端影响。然而，准确度和速度范围可以大大扩展。第二阶段的主要工作是将所开发的方法和设备应用于临床，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，使用口内测量设备测量不同牙周状态患者的牙齿活动度。将要求子项目2、4、7和8的临床工作组在临床研究阶段提供支持。

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.