Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography

TLDR

The study examines an electrode experiment on a conductive body, modeled by mathematical frameworks from Cheng et al. (1989). Electrodes are attached to the body to inject current and record resulting voltages, and the data are used to compare model predictions with experiment.

Abstract

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.