TY - JOUR
T1 - 3d current density in tumors and surrounding healthy tissues generated by a system of straight electrode arrays
AU - Pupo, Ana Elisa Bergues
AU - González, Maraelys Morales
AU - Cabrales, Luis Enrique Bergues
AU - Reyes, Juan Bory
AU - Oria, Eduardo José Roca
AU - Nava, Juan José Godina
AU - Jiménez, Rolando Placeres
AU - Sánchez, Francisco Martínez
AU - Ciria, Héctor Manuel Camué
AU - Cabrales, Jesús Manuel Bergues
N1 - Publisher Copyright:
© 2017 International Association for Mathematics and Computers in Simulation (IMACS)
PY - 2017/8/1
Y1 - 2017/8/1
N2 - The knowledge of the adequate current density distribution to apply when using different electrode arrays in tumor tissue and the healthy surrounding tissue is one of the most significant challenges to improve the effectiveness of electrochemical treatment. This paper proposes a mathematical approach to obtain a three-dimensional analytical expression for the current density generated by multi-needle electrodes. Such array of electrodes can be allocated in an arbitrary shape and inserted anywhere in the tumor. Calculations of the electrical potential and electric current density distributions based on a three-dimensional model for different straight multi-needle electrode configurations are carried out by solving the Laplace equation. The results show that appropriate positioning, insertion depth and electrodes polarity are essential for tumor treatment with direct current and multiple needle electrodes, arranged in concentric circumferences, concentrate a higher electric current density in the tumor. This configuration of multiple straight needle electrodes inserted along the tumor improves the effectiveness of electrochemical treatment because the current density covers the entire volume of the tumor, unlike those configurations that are inserted in the tumor base and only partially cover its volume.
AB - The knowledge of the adequate current density distribution to apply when using different electrode arrays in tumor tissue and the healthy surrounding tissue is one of the most significant challenges to improve the effectiveness of electrochemical treatment. This paper proposes a mathematical approach to obtain a three-dimensional analytical expression for the current density generated by multi-needle electrodes. Such array of electrodes can be allocated in an arbitrary shape and inserted anywhere in the tumor. Calculations of the electrical potential and electric current density distributions based on a three-dimensional model for different straight multi-needle electrode configurations are carried out by solving the Laplace equation. The results show that appropriate positioning, insertion depth and electrodes polarity are essential for tumor treatment with direct current and multiple needle electrodes, arranged in concentric circumferences, concentrate a higher electric current density in the tumor. This configuration of multiple straight needle electrodes inserted along the tumor improves the effectiveness of electrochemical treatment because the current density covers the entire volume of the tumor, unlike those configurations that are inserted in the tumor base and only partially cover its volume.
KW - 3D-current density
KW - Electrochemical treatment
KW - Electrodes array
KW - Tumor
UR - http://www.scopus.com/inward/record.url?scp=85012896062&partnerID=8YFLogxK
U2 - 10.1016/j.matcom.2017.01.004
DO - 10.1016/j.matcom.2017.01.004
M3 - Artículo
AN - SCOPUS:85012896062
SN - 0378-4754
VL - 138
SP - 49
EP - 64
JO - Mathematics and Computers in Simulation
JF - Mathematics and Computers in Simulation
ER -