Beyond finite elements: a comprehensive, patient-specific neurosurgical simulation utilizing a meshless method.

Beyond finite elements: a comprehensive, patient-specific neurosurgical simulation utilizing a meshless method.
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DOI:
10.1016/j.jbiomech.2012.07.031
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发表时间:
2012-10-11
影响因子:
2.4
通讯作者:
Wittek A
Wittek A
中科院分区:
工程技术3区
文献类型:
--
作者:
Miller K;Horton A;Joldes GR;Wittek A

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为了在临床(外科)模拟中有用,一种方法必须使用完全非线性(几何和材料)公式来处理组织的大(有限)变形。该方法必须在短时间内在消费者硬件上产生有意义的结果,并且在离散化问题域时不需要大量的人工工作。在本文中,我们展示了满足这些要求的无网格全拉格朗日显式动力学方法(MTLED),并将其用于计算手术中的脑变形。问题几何是基于患者特定的MRI数据,包括实质、肿瘤、脑室和头骨。节点在域中自动分布,使得创建特定于患者的计算网格这一通常困难的问题成为一项微不足道的练习。积分是在简单、规则的背景栅格上执行的,该栅格不需要符合几何图形边界。采用了适当的非线性材料公式。加载是通过移位开颅手术附近的实质表面节点来执行的,并在颅骨(刚性)和实质之间施加有限的无摩擦滑动接触。将无网格模拟结果与术中磁共振成像和多个2D切片的有限元分析结果进行比较。我们还计算了计算的脑室变形表面和术中观察到的脑室表面之间的Hausdorff距离。以前验证的有限元结果与本文给出的无网格结果之间的差异小于0.2 mm。结果在神经外科和成像设备的精度范围内(~1 mm),证明了该方法能够满足手术模拟的所有重要要求。
To be useful in clinical (surgical) simulations, a method must use fully nonlinear (both geometric and material) formulations to deal with large (finite) deformations of tissues. The method must produce meaningful results in a short time on consumer hardware and not require significant manual work while discretizing the problem domain. In this paper, we showcase the Meshless Total Lagrangian Explicit Dynamics Method (MTLED) which meets these requirements, and use it for computing brain deformations during surgery. The problem geometry is based on patient-specific MRI data and includes the parenchyma, tumor, ventricles and skull. Nodes are distributed automatically through the domain rendering the normally difficult problem of creating a patient-specific computational grid a trivial exercise. Integration is performed over a simple, regular background grid which does not need to conform to the geometry boundaries. Appropriate nonlinear material formulation is used. Loading is performed by displacing the parenchyma surface nodes near the craniotomy and a finite frictionless sliding contact is enforced between the skull (rigid) and parenchyma. The meshless simulation results are compared to both intraoperative MRIs and Finite Element Analysis results for multiple 2D sections. We also calculate Hausdorff distances between the computed deformed surfaces of the ventricles and those observed intraoperatively. The difference between previously validated Finite Element results and the meshless results presented here is less than 0.2 mm. The results are within the limits of neurosurgical and imaging equipment accuracy (~1mm) and demonstrate the method’s ability to fulfill all of the important requirements for surgical simulation.
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