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Building Finite Element Models to Investigate Zebrafish Jaw Biomechanics

机译:建立有限元模型来研究斑马鱼下颌的生物力学

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摘要

Skeletal morphogenesis occurs through tightly regulated cell behaviors during development; many cell types alter their behavior in response to mechanical strain. Skeletal joints are subjected to dynamic mechanical loading. Finite element analysis (FEA) is a computational method, frequently used in engineering that can predict how a material or structure will respond to mechanical input. By dividing a whole system (in this case the zebrafish jaw skeleton) into a mesh of smaller 'finite elements', FEA can be used to calculate the mechanical response of the structure to external loads. The results can be visualized in many ways including as a 'heat map' showing the position of maximum and minimum principal strains (a positive principal strain indicates tension while a negative indicates compression. The maximum and minimum refer the largest and smallest strain). These can be used to identify which regions of the jaw and therefore which cells are likely to be under particularly high tensional or compressional loads during jaw movement and can therefore be used to identify relationships between mechanical strain and cell behavior. This protocol describes the steps to generate Finite Element models from confocal image data on the musculoskeletal system, using the zebrafish lower jaw as a practical example. The protocol leads the reader through a series of steps: 1) staining of the musculoskeletal components, 2) imaging the musculoskeletal components, 3) building a 3 dimensional (3D) surface, 4) generating a mesh of Finite Elements, 5) solving the FEA and finally 6) validating the results by comparison to real displacements seen in movements of the fish jaw.
机译:骨骼形态发生通过发育过程中严格调控的细胞行为发生。许多细胞类型会响应机械应变而改变其行为。骨骼关节承受动态机械载荷。有限元分析(FEA)是一种计算方法,在工程中经常使用,可以预测材料或结构将如何响应机械输入。通过将整个系统(在本例中为斑马鱼颚骨骨架)划分为较小的“有限元”网格,可以将FEA用于计算结构对外部载荷的机械响应。结果可以通过多种方式可视化,包括显示最大和最小主应变位置的“热图”(正主应变表示张力,负主应力表示压缩。最大和最小值表示最大和最小应变)。这些可用于识别颌骨的哪些区域,从而识别在颌骨运动期间哪些细胞可能承受特别高的拉力或压缩载荷,因此可用于识别机械应变与细胞行为之间的关系。该协议描述了使用斑马鱼下颌作为实际示例从肌肉骨骼系统上的共焦图像数据生成有限元模型的步骤。该协议通过一系列步骤引导读者:1)肌肉骨骼成分的染色; 2)肌肉骨骼成分的成像; 3)构建3维(3D)表面; 4)生成有限元网格; 5)解决该问题。有限元分析,最后6)通过与在鱼颚运动中看到的实际位移进行比较来验证结果。

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