Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography

作者: Erkki Somersalo , Margaret Cheney , David Isaacson

DOI: 10.1137/0152060

关键词: ConductivityVoltageUniquenessMathematicsElectric currentMathematical optimizationElectrical impedance tomographyMathematical modelCurrent (fluid)Mathematical analysisElectrodeApplied mathematics

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

参考文章(3)
Kuo-Sheng Cheng, D. Isaacson, J.C. Newell, D.G. Gisser, Electrode models for electric current computed tomography IEEE Transactions on Biomedical Engineering. ,vol. 36, pp. 918- 924 ,(1989) , 10.1109/10.35300
D G Gisser, D Isaacson, J C Newell, Current topics in impedance imaging Clinical Physics and Physiological Measurement. ,vol. 8, pp. 39- 46 ,(1987) , 10.1088/0143-0815/8/4A/005
T. Oostendorp, A. van Oosterom, The potential distribution generated by surface electrodes in inhomogeneous volume conductors of arbitrary shape IEEE Transactions on Biomedical Engineering. ,vol. 38, pp. 409- 417 ,(1991) , 10.1109/10.81559