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A numerical study of a heart phantom model

机译:心脏幻影模型的数值研究

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摘要

In this paper, we develop a computational heart phantom model based on magnetic resonance imaging (MRI) of a dynamic multi-modality heart phantom. The phantom is made of a hydrogel material which mimics the elasticity of human soft tissue, and is composed of anatomically correct left and right ventricle structures. The numerical analysis is carried out using the neo-Hookean constitutive model, and the C++ based object-oriented finite element library libMesh is used to solve the fully nonlinear governing equations. We derive the partial differential equations into a set of Lagrangian mesh, and use the weighted residual Galerkin method and Newton iteration solver in the numerical scheme. To validate the numerical model, the displacements and strains of some representative points are compared with experimental measurements and MRI-based strain estimations. Good agreement is obtained, and limitations of the model are discussed.
机译:在本文中,我们基于动态多模态心脏体模的磁共振成像(MRI)开发了计算性心脏体模模型。体模由模仿人体软组织弹性的水凝胶材料制成,由解剖学上正确的左右心室结构组成。使用Neo-Hookean本构模型进行数值分析,并使用基于C ++的面向对象的有限元库libMesh来求解完全非线性的控制方程。我们将偏微分方程推导到一组拉格朗日网格中,并在数值方案中使用加权残差Galerkin方法和牛顿迭代求解器。为了验证数值模型,将一些代表性点的位移和应变与实验测量值和基于MRI的应变估计值进行了比较。获得了良好的一致性,并讨论了模型的局限性。

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  • 来源
    《International journal of computer mathematics》 |2014年第8期|1535-1551|共17页
  • 作者单位

    School of Mathematics and Statistics, University of Glasgow, Glasgow G12 8QW, UK;

    School of Mathematics and Statistics, University of Glasgow, Glasgow G12 8QW, UK;

    School of Mathematics and Statistics, University of Glasgow, Glasgow G12 8QW, UK;

    Institute of Cardiovascular and Medical Sciences, BHF Glasgow Cardiovascular Research Centre, University of Glasgow, Glasgow, UK;

    Institute of Cardiovascular and Medical Sciences, BHF Glasgow Cardiovascular Research Centre, University of Glasgow, Glasgow, UK;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    nonlinear elasticity; large strain; heart phantom; MRI; neo-Hookean;

    机译:非线性弹性大应变心幻影核磁共振;新胡克;

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