二维圆盘上均匀 EIT 问题的解析解及其在电极接触阻抗估计中的应用。
An analytic solution to the homogeneous EIT problem on the 2D disk and its application to estimation of electrode contact impedances.
机构信息
Section of Biostatistics and Epidemiology, Dartmouth Medical School, Hanover, NH 03755, USA.
出版信息
Physiol Meas. 2011 Sep;32(9):1453-71. doi: 10.1088/0967-3334/32/9/008. Epub 2011 Jul 28.
Abstract
An analytic solution of the potential distribution on a 2D homogeneous disk for electrical impedance tomography under the complete electrode model is expressed via an infinite system of linear equations. For the shunt electrode model with two electrodes, our solution coincides with the previously derived solution expressed via elliptic integral (Pidcock et al 1995 Physiol. Meas. 16 77-90). The Dirichlet-to-Neumann map is derived for statistical estimation via nonlinear least squares. The solution is validated in phantom experiments and applied for breast contact impedance estimation in vivo. Statistical hypothesis testing is used to test whether the contact impedances are the same across electrodes or all equal zero. Our solution can be especially useful for a rapid real-time test for bad surface contact in clinical setting.
摘要
在完全电极模型下，二维均匀圆盘的电阻抗断层成像中的电位分布的解析解可以通过一个无限线性方程组表示。对于具有两个电极的并联电极模型，我们的解与以前通过椭圆积分得出的解（Pidcock 等人，1995 年，《生理学测量》，16，77-90）一致。我们还为通过非线性最小二乘法进行统计估计推导出了狄利克雷到诺伊曼映射。该解在体模实验中进行了验证，并应用于体内乳房接触阻抗估计。我们还使用统计假设检验来检验电极之间的接触阻抗是否相同或全部为零。我们的解在临床环境中对于快速实时测试不良表面接触特别有用。
相似文献
1
An analytic solution to the homogeneous EIT problem on the 2D disk and its application to estimation of electrode contact impedances.二维圆盘上均匀 EIT 问题的解析解及其在电极接触阻抗估计中的应用。
Physiol Meas. 2011 Sep;32(9):1453-71. doi: 10.1088/0967-3334/32/9/008. Epub 2011 Jul 28.
2
Statistical estimation of EIT electrode contact impedance using magic Toeplitz matrix.使用魔术 Toeplitz 矩阵对 EIT 电极接触阻抗进行统计估计。
IEEE Trans Biomed Eng. 2011 Aug;58(8). doi: 10.1109/TBME.2011.2125790. Epub 2011 Mar 10.
3
The complete electrode model for imaging and electrode contact compensation in electrical impedance tomography.用于电阻抗断层成像中成像和电极接触补偿的完整电极模型。
Annu Int Conf IEEE Eng Med Biol Soc. 2007;2007:3462-5. doi: 10.1109/IEMBS.2007.4353076.
4
EIT image reconstruction based on a hybrid FE-EFG forward method and the complete-electrode model.基于有限元-无网格伽辽金法混合正演方法和全电极模型的电阻抗断层成像图像重建
Physiol Meas. 2016 Jun;37(6):863-78. doi: 10.1088/0967-3334/37/6/863. Epub 2016 May 20.
5
Lobe based image reconstruction in Electrical Impedance Tomography.电阻抗断层成像中基于叶的图像重建
Med Phys. 2017 Feb;44(2):426-436. doi: 10.1002/mp.12038. Epub 2017 Jan 25.
6
Improving the forward solver for the complete electrode model in EIT using algebraic multigrid.使用代数多重网格改进电阻抗断层成像中完全电极模型的正问题求解器。
IEEE Trans Med Imaging. 2005 May;24(5):577-83. doi: 10.1109/TMI.2005.843741.
7
Electrical impedance tomography problem with inaccurately known boundary and contact impedances.具有不准确已知边界和接触阻抗的电阻抗断层成像问题。
IEEE Trans Med Imaging. 2008 Oct;27(10):1404-14. doi: 10.1109/TMI.2008.920600.
8
Methods for compensating for variable electrode contact in EIT.用于补偿 EIT 中可变电极接触的方法。
IEEE Trans Biomed Eng. 2009 Dec;56(12):2762-72. doi: 10.1109/TBME.2009.2027129. Epub 2009 Jul 21.
9
Flexible electrode belt for EIT using nanofiber web dry electrodes.使用纳米纤维网干电极的 EIT 柔性电极带。
Physiol Meas. 2012 Oct;33(10):1603-16. doi: 10.1088/0967-3334/33/10/1603. Epub 2012 Sep 4.
10
Electrical impedance tomography in 3D using two electrode planes: characterization and evaluation.使用两个电极平面的三维电阻抗断层成像：特性与评估
Physiol Meas. 2016 Jun;37(6):922-37. doi: 10.1088/0967-3334/37/6/922. Epub 2016 May 20.
引用本文的文献
1
Extremely durable electrical impedance tomography-based soft and ultrathin wearable e-skin for three-dimensional tactile interfaces.基于极端耐用的电阻抗断层成像技术的柔软超薄可穿戴电子皮肤，用于三维触觉界面。
Sci Adv. 2024 Sep 20;10(38):eadr1099. doi: 10.1126/sciadv.adr1099.
2
Real-Time Detection of Hemothorax and Monitoring its Progression in a Piglet Model by Electrical Impedance Tomography: A Feasibility Study.实时检测猪模型血胸并监测其进展的电阻抗断层成像：一项可行性研究。
Biomed Res Int. 2020 Feb 27;2020:1357160. doi: 10.1155/2020/1357160. eCollection 2020.
3
Optimal combination of electrodes and conductive gels for brain electrical impedance tomography.脑电阻抗断层成像中电极和导电凝胶的最佳组合。
Biomed Eng Online. 2018 Dec 20;17(1):186. doi: 10.1186/s12938-018-0617-y.
4
The Frequency Spectral Properties of Electrode-Skin Contact Impedance on Human Head and Its Frequency-Dependent Effects on Frequency-Difference EIT in Stroke Detection from 10Hz to 1MHz.人体头部电极 - 皮肤接触阻抗的频谱特性及其在10Hz至1MHz脑卒中检测中对频差电阻抗断层成像的频率依赖性影响
PLoS One. 2017 Jan 20;12(1):e0170563. doi: 10.1371/journal.pone.0170563. eCollection 2017.
5
Fast detection and data compensation for electrodes disconnection in long-term monitoring of dynamic brain electrical impedance tomography.动态脑电阻抗断层成像长期监测中电极断开的快速检测与数据补偿
Biomed Eng Online. 2017 Jan 7;16(1):7. doi: 10.1186/s12938-016-0294-7.
本文引用的文献
1
NOSER: An Algorithm for Solving the Inverse Conductivity Problem.NOSER：一种求解电导率反问题的算法。
Int J Imaging Syst Technol. 1990 Summer;2(2):66-75. doi: 10.1002/ima.1850020203.
2
Methods for compensating for variable electrode contact in EIT.用于补偿 EIT 中可变电极接触的方法。
IEEE Trans Biomed Eng. 2009 Dec;56(12):2762-72. doi: 10.1109/TBME.2009.2027129. Epub 2009 Jul 21.
3
3D electric impedance tomography reconstruction on multi-core computing platforms.多核计算平台上的三维电阻抗断层成像重建
Annu Int Conf IEEE Eng Med Biol Soc. 2008;2008:1175-7. doi: 10.1109/IEMBS.2008.4649371.
4
Principles of electrical impedance tomography and its clinical application.电阻抗断层成像原理及其临床应用。
Crit Care Med. 2009 Feb;37(2):713-24. doi: 10.1097/CCM.0b013e3181958d2f.
5
Electrical impedance tomography problem with inaccurately known boundary and contact impedances.具有不准确已知边界和接触阻抗的电阻抗断层成像问题。
IEEE Trans Med Imaging. 2008 Oct;27(10):1404-14. doi: 10.1109/TMI.2008.920600.
6
Distinguishability of conductivities by electric current computed tomography.电流型计算机断层扫描对电导率的可区分性。
IEEE Trans Med Imaging. 1986;5(2):91-5. doi: 10.1109/TMI.1986.4307752.
7
An electrical impedance spectroscopy system for breast cancer detection.一种用于乳腺癌检测的电阻抗光谱系统。
Annu Int Conf IEEE Eng Med Biol Soc. 2007;2007:4154-7. doi: 10.1109/IEMBS.2007.4353251.
8
A reconstruction algorithm for breast cancer imaging with electrical impedance tomography in mammography geometry.一种用于乳腺钼靶摄影几何结构中电阻抗断层成像的乳腺癌成像重建算法。
IEEE Trans Biomed Eng. 2007 Apr;54(4):700-10. doi: 10.1109/TBME.2006.890139.
9
On optimal current patterns for electrical impedance tomography.关于电阻抗断层成像的最优电流模式。
IEEE Trans Biomed Eng. 2005 Feb;52(2):238-48. doi: 10.1109/TBME.2004.840506.
10
Statistical estimation of resistance/conductance by electrical impedance tomography measurements.通过电阻抗断层成像测量对电阻/电导进行统计估计。
IEEE Trans Med Imaging. 2004 Jul;23(7):829-38. doi: 10.1109/TMI.2004.827965.
Zotero 插件