Biomechanics of the brain for computer-integrated surgery.
Biomechanics of the brain for computer-integrated surgery.
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DOI：
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发表时间：
2010
影响因子：
1
通讯作者：
K. Miller;A. Wittek;G. Joldes
中科院分区：
文献类型：
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作者：
K. Miller;A. Wittek;G. Joldes
本文总结了2010年8月在华沙举行的生物力学第十届大会上的主旨演讲。我们提出了在神经外科模拟和脑图像配准的大脑生物力学的数学和数字建模领域的选定主题。这些过程可以合理地用纯力学术语来描述，如位移、应变和应力，因此可以用现有的连续介质力学方法进行分析。我们主张使用连续介质力学的完全非线性理论。我们详细地讨论了建模几何、边界条件、载荷和材料属性。我们考虑了数值问题，如使用六面体和混合六面体-四面体网格以及无网格空间离散格式。我们提倡使用有限元和无网格法的全拉格朗日公式以及显式的时间步长程序。我们通过一个术中图像配准的脑移位计算的例子来支持我们的建议和结论。
This article presents a summary of the key-note lecture delivered at Biomechanics 10 Conference held in August 2010 in Warsaw. We present selected topics in the area of mathematical and numerical modelling of the brain biomechanics for neurosurgical simulation and brain image registration. These processes can reasonably be described in purely mechanical terms, such as displacements, strains and stresses and therefore can be analysed using established methods of continuum mechanics. We advocate the use of fully non-linear theory of continuum mechanics. We discuss in some detail modelling geometry, boundary conditions, loading and material properties. We consider numerical problems such as the use of hexahedral and mixed hexahedral-tetrahedral meshes as well as meshless spatial discretisation schemes. We advocate the use of Total Lagrangian Formulation of both finite element and meshless methods together with explicit time-stepping procedures. We support our recommendations and conclusions with an example of brain shift computation for intraoperative image registration.