An Analytical Solution for Radiofrequency Ablation with a Cooled Cylindrical Electrode
Joint Authors
Berjano, Enrique
Romero-Méndez, Ricardo
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-03-06
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We present an analytical solution to the electrothermal mathematical model of radiofrequency ablation of biological tissue using a cooled cylindrical electrode.
The solution presented here makes use of the method of separation of variables to solve the problem.
Green’s functions are used for the handling of nonhomogeneous terms, such as effect of electrical currents circulation and the nonhomogeneous boundary condition due to cooling at the electrode surface.
The transcendental equation for determination of eigenvalues of this problem is solved using Newton’s method, and the integrals that appear in the solution of the problem are obtained by Simpson’s rule.
The solution obtained here has the possibility of handling different functional dependencies of the source term and nonhomogeneous boundary condition.
The solution provides a tool to understand the physics of the problem, as it shows how the solution depends on different parameters, to provide mathematical tools for the design of surgical procedures and to validate other modeling techniques, such as the numerical methods that are frequently used to solve the problem.
American Psychological Association (APA)
Romero-Méndez, Ricardo& Berjano, Enrique. 2017. An Analytical Solution for Radiofrequency Ablation with a Cooled Cylindrical Electrode. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1192560
Modern Language Association (MLA)
Romero-Méndez, Ricardo& Berjano, Enrique. An Analytical Solution for Radiofrequency Ablation with a Cooled Cylindrical Electrode. Mathematical Problems in Engineering No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1192560
American Medical Association (AMA)
Romero-Méndez, Ricardo& Berjano, Enrique. An Analytical Solution for Radiofrequency Ablation with a Cooled Cylindrical Electrode. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1192560
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192560