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采用有限元法求解磁感应磁声层析成像的正向问题。

Solving the forward problem of magnetoacoustic tomography with magnetic induction by means of the finite element method.

作者信息

Li Xun, Li Xu, Zhu Shanan, He Bin

机构信息

College of Electrical Engineering, Zhejiang University, Hangzhou 310027, People's Republic of China.

出版信息

Phys Med Biol. 2009 May 7;54(9):2667-82. doi: 10.1088/0031-9155/54/9/005. Epub 2009 Apr 8.

DOI:10.1088/0031-9155/54/9/005
PMID:19351978
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC2841573/
Abstract

Magnetoacoustic tomography with magnetic induction (MAT-MI) is a recently proposed imaging modality to image the electrical impedance of biological tissue. It combines the good contrast of electrical impedance tomography with the high spatial resolution of sonography. In this paper, a three-dimensional MAT-MI forward problem was investigated using the finite element method (FEM). The corresponding FEM formulae describing the forward problem are introduced. In the finite element analysis, magnetic induction in an object with conductivity values close to biological tissues was first carried out. The stimulating magnetic field was simulated as that generated from a three-dimensional coil. The corresponding acoustic source and field were then simulated. Computer simulation studies were conducted using both concentric and eccentric spherical conductivity models with different geometric specifications. In addition, the grid size for finite element analysis was evaluated for the model calibration and evaluation of the corresponding acoustic field.

摘要

磁感应磁声层析成像(MAT-MI)是一种最近提出的用于对生物组织电阻抗进行成像的成像模态。它将电阻抗断层成像的良好对比度与超声成像的高空间分辨率相结合。本文采用有限元方法(FEM)研究了三维MAT-MI正向问题。介绍了描述正向问题的相应有限元公式。在有限元分析中,首先对具有接近生物组织电导率值的物体中的磁感应进行了分析。激励磁场被模拟为由三维线圈产生的磁场。然后模拟了相应的声源和声场。使用具有不同几何规格的同心和偏心球形电导率模型进行了计算机模拟研究。此外,还针对模型校准和相应声场评估对有限元分析的网格大小进行了评估。

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引用本文的文献

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Phys Med Biol. 2016 Sep 21;61(18):R249-R270. doi: 10.1088/0031-9155/61/18/R249. Epub 2016 Aug 19.
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Numerical study of magnetoacoustic signal generation with magnetic induction based on inhomogeneous conductivity anisotropy.基于非均匀各向异性电导率的磁感应磁声信号产生的数值研究。
Comput Math Methods Med. 2013;2013:161357. doi: 10.1155/2013/161357. Epub 2013 Mar 26.
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Magnetoacoustic imaging of electrical conductivity of biological tissues at a spatial resolution better than 2 mm.生物组织电导率的磁声成像,空间分辨率优于 2 毫米。
PLoS One. 2011;6(8):e23421. doi: 10.1371/journal.pone.0023421. Epub 2011 Aug 12.
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The role of magnetic forces in biology and medicine.磁场在生物学和医学中的作用。
Exp Biol Med (Maywood). 2011 Feb;236(2):132-7. doi: 10.1258/ebm.2010.010236.
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本文引用的文献

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Magnetoacoustic tomographic imaging of electrical impedance with magnetic induction.基于磁感应的电阻抗磁声层析成像
Appl Phys Lett. 2007 Aug 22;91(8):83903. doi: 10.1063/1.2772763.
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The effect of electrical anisotropy during magnetoacoustic tomography with magnetic induction.磁感应磁声层析成像过程中电各向异性的影响
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Noninvasive imaging of bioimpedance distribution by means of current reconstruction magnetic resonance electrical impedance tomography.通过电流重建磁共振电阻抗断层成像技术对生物阻抗分布进行无创成像。
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A Phantom Study of Magnetoacoustic Tomography with Magnetic Induction (MAT-MI) for Imaging Electrical Impedance of Biological Tissue.用于生物组织电阻抗成像的磁感应磁声层析成像(MAT-MI)的体模研究
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High-resolution Functional Source and Impedance Imaging.高分辨率功能源成像与阻抗成像
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Imaging electrical impedance from acoustic measurements by means of magnetoacoustic tomography with magnetic induction (MAT-MI).通过磁感应磁声断层成像(MAT-MI)从声学测量中获取成像电阻抗。
IEEE Trans Biomed Eng. 2007 Feb;54(2):323-30. doi: 10.1109/TBME.2006.883827.
8
Magnetoacoustic tomography with magnetic induction (MAT-MI).磁感应磁声断层成像(MAT-MI)。
Phys Med Biol. 2005 Nov 7;50(21):5175-87. doi: 10.1088/0031-9155/50/21/015. Epub 2005 Oct 19.
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Estimation of electrical conductivity distribution within the human head from magnetic flux density measurement.通过磁通密度测量估计人头内部的电导率分布。
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