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3D Stationary electric current density in a spherical tumor treated with low direct current: An analytical solution
Author(s) -
Jiménez Rolando Placeres,
Pupo Ana Elisa Bergues,
Cabrales Jesús Manuel Bergues,
Joa Javier Antonio González,
Cabrales Luis Enrique Bergues,
Nava Juan José Godina,
Aguilera Andrés Ramírez,
Mateus Miguel Angel O'Farril,
Jarque Manuel Verdecia,
Brooks Soraida Candida Acosta
Publication year - 2011
Publication title -
bioelectromagnetics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.435
H-Index - 81
eISSN - 1521-186X
pISSN - 0197-8462
DOI - 10.1002/bem.20611
Subject(s) - current density , current (fluid) , electric current , electrode , direct current , polarity (international relations) , bioelectromagnetics , electrotherapy , electric potential , electric field , intensity (physics) , materials science , biomedical engineering , electrode array , conductivity , chemistry , electrical engineering , optics , physics , medicine , pathology , voltage , electromagnetic field , engineering , biochemistry , alternative medicine , quantum mechanics , cell
Electrotherapy with direct current delivered through implanted electrodes is used for local control of solid tumors in both preclinical and clinical studies. The aim of this research is to develop a solution method for obtaining a three‐dimensional analytical expression for potential and electric current density as functions of direct electric current intensity, differences in conductivities between the tumor and the surrounding healthy tissue, and length, number and polarity of electrodes. The influence of these parameters on electric current density in both media is analyzed. The results show that the electric current density in the tumor is higher than that in the surrounding healthy tissue for any value of these parameters. The conclusion is that the solution method presented in this study is of practical interest because it provides, in a few minutes, a convenient way to visualize in 3D the electric current densities generated by a radial electrode array by means of the adequate selection of direct current intensity, length, number, and polarity of electrodes, and the difference in conductivity between the solid tumor and its surrounding healthy tissue. Bioelectromagnetics 32:120–130, 2011. © 2010 Wiley‐Liss, Inc.