Nishiyama Shuhei, Kuroda Yoshihiro, Takemura Haruo
Annu Int Conf IEEE Eng Med Biol Soc. 2015 Aug;2015:905-8. doi: 10.1109/EMBC.2015.7318509.
Nowadays, physics-based simulation plays an important role in industries and clinical fields thanks to the outstanding progress of computer technologies and numerical simulation. One of the demands for the applied technology of physics-based simulation, is the surgical simulation of organ tissue not only for surgical training but also for intra-operative navigation. Although linear Finite Element Method (FEM) is capable of real-time simulation, the conventional FEM analysis does not satisfy the accuracy of non-linear response and interactivity at the same time. The aim of this study is to establish the surgical simulation and navigation to consider hyper-elasticity (HE), which represents the organ's non-linear response material better than the conventional linear material. In this paper, we propose a novel method to decompose the stress-strain relationship of HE, and construct the stiffness matrix for real-time and interactive simulation by extending the linear FEM, which is capable of efficient simulation. The experimental results showed that the proposed method is able to simulate non-linear FEM deformation accurately almost equivalent to the existing non-linear FEM analysis by shorter calculation time. In addition, the deformation with the kidney model was demonstrated.
如今，由于计算机技术和数值模拟的显著进步，基于物理的模拟在工业和临床领域发挥着重要作用。基于物理的模拟应用技术的需求之一是器官组织的手术模拟，这不仅用于手术训练，还用于术中导航。尽管线性有限元法（FEM）能够进行实时模拟，但传统的有限元分析不能同时满足非线性响应的精度和交互性。本研究的目的是建立考虑超弹性（HE）的手术模拟和导航，超弹性比传统线性材料更能代表器官的非线性响应材料。在本文中，我们提出了一种新的方法来分解超弹性的应力-应变关系，并通过扩展能够高效模拟的线性有限元法来构建用于实时和交互式模拟的刚度矩阵。实验结果表明，该方法能够在较短的计算时间内准确模拟非线性有限元变形，几乎等同于现有的非线性有限元分析。此外，还展示了肾脏模型的变形。
