活体牙周膜有限元仿真的可行性研究
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Feasibility Study about Finite Element Simulation of the Dental Periodontal Ligament in vivo
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    摘要:

    目的 通过现代有限元方法研究牙周膜上的静平衡应力状态。方法 提出了两种用于分析牙周膜应力状态的有限元方法,把牙周膜看做是整个下颌模型的一部分,通过有限元方法来处理仿真的牙齿并加载,来研究牙周膜对牙周组织的应力应变分布的作用,计算得到的静平衡应力和牙齿根吸收状态进行比较。结果 牙周膜的最大应力发生在接近最高点位置,在中跟位置附近存在局部最大应力,而牙周膜顶点区域的应力要大于牙周膜中根附近的局部最大应力。齿槽顶部的舌侧牙周膜部位可以发现静平衡应力。静平衡应力是和位置有关的,有静平衡应力的部位就会发生牙根吸收。结论 人类切牙和单根前臼齿一样,植入物会导致其牙周膜顶点附近静平衡应力的增长,这一点同之前的发现相一致。人类切牙根吸收经常作用于牙周膜的顶点部位。

    Abstract:

    Objective The finite element method (FEM) is gaining an increasing impact in dental biomechanics. This work introduces two FEM case studies focusing on the periodontal ligament(PDL). This knowledge is highly desirable, especially considering movement of teeth to their correct position by e.g. braces. The entire simulation chain covers multimodal 3D image processing, highly detailed segmentation of the dental structures, automatic mesh generation, implementation of typical orthodontic load cases, and finally the numerical computation. Methods The first model was generated by means of resampling standard computed tomography (CT) data of a human premolar whereas the 2(superscript nd) model was based on cone beam computed tomography (CBCT) data of a human incisor as a new imaging modality with resolution of 0.125 mm in x, y, and z-direction. After segmentation, FEM meshes were generated with focus on preserving volume and topology of the PDL. Both models were tested by intruding the tooth with a continuous load of 0.5 N. Results In spite of artefacts in the CBCT data, both FEM-models were suitable for FEM simulation. Increased hydrostatic pressure was observed at the apical part of the PDL of the incisor as well as of the premolar. Conclusion Both modelling strategies produced feasible FEM models. Volume and topology preserving meshing algorithms were used for generation of these models. Intrusion of an incisor leads to increased hydrostatic pressure near the apex and on some locations at the medium level between gingiva and apex.

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Ansgar Hohmann, Cornelia Kober, Thomas Radtke, Philippe Young, Martin Geiger, Andrew Boryor, Christian Sander, Franz Günter Sander.活体牙周膜有限元仿真的可行性研究[J].医用生物力学,2008,23(1):26-30

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