EXISTENCE AND UNIQUENESS FOR ELECTRODE MODELS FOR ELECTRIC-CURRENT COMPUTED-TOMOGRAPHY

被引：691

作者：

SOMERSALO, E ^{[1
]}

CHENEY, M ^{[1
]}

ISAACSON, D ^{[1
]}

机构：

[1] RENSSELAER POLYTECH INST,DEPT MATH SCI,TROY,NY 12180

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1992年 / 52卷 / 04期

基金：

美国国家卫生研究院; 美国国家科学基金会;

关键词：

IMPEDANCE IMAGING; ELECTRICAL IMPEDANCE TOMOGRAPHY; ELECTRICAL CURRENT COMPUTED TOMOGRAPHY; ELECTRODE MODELS; VARIATIONAL PRINCIPLES;

D O I：

10.1137/0152060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The following experiment is considered. To a body of given conductivity, a number of electrodes are attached, through which current is sent. On the same electrodes, the resulting voltages are measured. This experiment can be described by a number of mathematical models [K.-S. Cheng et al., IEEE Transactions on Biomedical Engineering, 36 (1989), pp. 918-924]. These models are discussed and their predictions compared with experiment. In particular, a model is exhibited that is capable of predicting the experimentally measured voltages to within 0.1 percent. For this model, existence and uniqueness of the associated electrical potential is proved.

引用

页码：1023 / 1040

页数：18

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