title: 3D Stationary electric current density in a spherical tumor treated with low direct current: an analytical solution.
abstract: 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.
authors.affiliation: Departamento de Física, Universidad Federal Sao Carlos-SP, Brazil.
authors.forename: Rolando Placeres
authors.initials: RP
authors.lastname: Jiménez
authors.forename: Ana Elisa Bergues
authors.initials: AE
authors.lastname: Pupo
authors.forename: Jesús Manuel Bergues
authors.initials: JM
authors.lastname: Cabrales
authors.forename: Javier Antonio González
authors.initials: JA
authors.lastname: Joa
authors.forename: Luis Enrique Bergues
authors.initials: LE
authors.lastname: Cabrales
authors.forename: Juan José Godina
authors.initials: JJ
authors.lastname: Nava
authors.forename: Andrés Ramírez
authors.initials: AR
authors.lastname: Aguilera
authors.forename: Miguel Angel O'Farril
authors.initials: MA
authors.lastname: Mateus
authors.forename: Manuel Verdecia
authors.initials: MV
authors.lastname: Jarque
authors.forename: Soraida Candida Acosta
authors.initials: SC
authors.lastname: Brooks
mesh_terms: D004553:Electric Conductivity / Q000627:therapeutic use*; D004599:Electric Stimulation Therapy / Q000379:methods*; D004566:Electrodes; D008954:Models, Biological; D009369:Neoplasms / Q000628:therapy*