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

在子项目#5的第一个项目阶段，已经构建了新开发的体内和体外实验装置，并进行了牙周韧带（PDL）的数学建模和数值模拟的新发展。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。特别关注的是时间依赖性行为和牙周组织不同健康状况的影响。第一次体外试验以及正在进行的体外和体内研究和模拟表明，正如几位作者之前所报告的那样，加载速度对力/挠度特性有极大影响。然而，精度和速度范围可以显著扩展。项目第二阶段的主要重点将是开发的方法和设备的临床应用，并根据体外和体内测量获得的数据进一步完善开发的数学和数值模型。使用口腔内测量装置测量不同牙周状态患者的牙齿活动度。子项目#2、#4、#7和#8的临床工作组将在临床研究阶段得到支持。

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.