IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v82y2012i8p1396-1406.html
   My bibliography  Save this article

Influence of electrode array parameters used in electrotherapy on tumor growth kinetics: A mathematical simulation

Author

Listed:
  • Ciria, Héctor Manuel Camué
  • Cabrales, Luis Enrique Bergues
  • Aguilera, Andrés Ramírez
  • Nava, Juan José Godina
  • Joa, Javier Antonio González
  • García, Raudel Peña
  • González, Gustavo Sierra
  • González, Maraelys Morales
  • Salas, Miriam Fariñas
  • Jarque, Manuel Verdecia
  • González, Tamara Rubio
  • Mateus, Miguel Angel O’Farril
  • Brooks, Soraida Candida Acosta
  • Palencia, Fabiola Suárez
  • Ortiz, Lisset Zamora
  • Quevedo, María Cristina Céspedes
  • Seringe, Sarah Edward
  • Mariño, Yadira Mesa
  • Cabrales, Idelisa Bergues

Abstract

Evaluation of the distance between the electrodes, voltage applied to them, and number of electrodes in tumor growth kinetics is very useful for effective tumor destruction when electrotherapy is used. However, a study of this type has not yet been proposed. The aim of this paper is to simulate the influence of such parameters and the point–point electrode configuration on the tumor growth kinetics through a Modified Gompertz Equation. The results show a good agreement between the simulations performed in this study and the experimental results reported by our group and other authors. A critical distance between electrodes and a threshold ratio between the applied electric field and that distributed in the tumor are revealed, for which higher electrotherapy antitumor effectiveness is reached. In conclusion, electrotherapy antitumor effectiveness not only depends on the distance between the electrodes, voltage applied to them, and number of electrodes, but also on the ratio between the applied electric field and that distributed in the tumor. In addition, the results of these simulations may be used to help physicians choose the most appropriate treatment for patients with malignant solid tumors, as we have implemented in a current clinical trial.

Suggested Citation

  • Ciria, Héctor Manuel Camué & Cabrales, Luis Enrique Bergues & Aguilera, Andrés Ramírez & Nava, Juan José Godina & Joa, Javier Antonio González & García, Raudel Peña & González, Gustavo Sierra & Gonzál, 2012. "Influence of electrode array parameters used in electrotherapy on tumor growth kinetics: A mathematical simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(8), pages 1396-1406.
    • Handle: RePEc:eee:matcom:v:82:y:2012:i:8:p:1396-1406
    DOI: 10.1016/j.matcom.2011.02.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475412000055
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2011.02.013?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Aguilera, Andrés Ramírez & Cabrales, Luis Enrique Bergues & Ciria, Héctor Manuel Camué & Pérez, Yudelmis Soler & Oria, Eduardo Roca & Brooks, Soraida Acosta & González, Tamara Rubio, 2009. "Distributions of the potential and electric field of an electrode elliptic array used in tumor electrotherapy: Analytical and numerical solutions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2091-2105.
    2. Miklavčič, Damijan & Jarm, Tomaž & Karba, Rihard & Serša, Gregor, 1995. "Mathematical modelling of tumor growth in mice following electrotherapy and bleomycin treatment," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 39(5), pages 597-602.
    3. Aguilera, Andrés Ramírez & Cabrales, Luis Enrique Bergues & Ciria, Héctor Manuel Camué & Pérez, Yudelmis Soler & González, Fidel Gilart & González, Maraelys Morales & Zamora, Lisset Ortíz & Palencia, , 2010. "Electric current density distribution in planar solid tumor and its surrounding healthy tissue generated by an electrode elliptic array used in electrotherapy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(9), pages 1886-1902.
    4. Cabrales, Luis Enrique Bergues & Aguilera, Andrés Ramírez & Jiménez, Rolando Placeres & Jarque, Manuel Verdecia & Ciria, Héctor Manuel Camué & Reyes, Juan Bory & Mateus, Miguel Angel O’Farril & Palenc, 2008. "Mathematical modeling of tumor growth in mice following low-level direct electric current," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(1), pages 112-120.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pupo, Ana Elisa Bergues & González, Maraelys Morales & Cabrales, Luis Enrique Bergues & Reyes, Juan Bory & Oria, Eduardo José Roca & Nava, Juan José Godina & Jiménez, Rolando Placeres & Sánchez, Franc, 2017. "3d current density in tumors and surrounding healthy tissues generated by a system of straight electrode arrays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 138(C), pages 49-64.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Pupo, Ana Elisa Bergues & González, Maraelys Morales & Cabrales, Luis Enrique Bergues & Reyes, Juan Bory & Oria, Eduardo José Roca & Nava, Juan José Godina & Jiménez, Rolando Placeres & Sánchez, Franc, 2017. "3d current density in tumors and surrounding healthy tissues generated by a system of straight electrode arrays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 138(C), pages 49-64.
    2. Soba, Alejandro & Suárez, Cecilia & González, Maraelys Morales & Cabrales, Luis Enrique Bergues & Pupo, Ana Elisa Bergues & Reyes, Juan Bory & Martínez Tassé, José Pablo, 2018. "Integrated analysis of the potential, electric field, temperature, pH and tissue damage generated by different electrode arrays in a tumor under electrochemical treatment," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 146(C), pages 160-176.
    3. Feng, Xinlong & He, Guoliang & Abdurishit,, 2008. "Estimation of parameters of the Makeham distribution using the least squares method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(1), pages 34-44.
    4. Aguilera, Andrés Ramírez & Cabrales, Luis Enrique Bergues & Ciria, Héctor Manuel Camué & Pérez, Yudelmis Soler & González, Fidel Gilart & González, Maraelys Morales & Zamora, Lisset Ortíz & Palencia, , 2010. "Electric current density distribution in planar solid tumor and its surrounding healthy tissue generated by an electrode elliptic array used in electrotherapy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(9), pages 1886-1902.
    5. Cabrales, Luis Enrique Bergues & Montijano, Juan I. & Schonbek, Maria & Castañeda, Antonio Rafael Selva, 2018. "A viscous modified Gompertz model for the analysis of the kinetics of tumors under electrochemical therapy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 151(C), pages 96-110.
    6. Castañeda, Antonio Rafael Selva & Pozo, Josue Mariño del & Ramirez-Torres, Erick Eduardo & Oria, Eduardo José Roca & Vaillant, Sorangel Bolaños & Montijano, Juan I. & Cabrales, Luis Enrique Bergues, 2023. "Spatio temporal dynamics of direct current in treated anisotropic tumors," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 609-632.
    7. Hamdy M. Youssef & Alaa A. El-Bary, 2020. "Voltage and Time Required for Irreversible Thermal Damage of Tumor Tissues during Electrochemotherapy under Thomson Effect," Mathematics, MDPI, vol. 8(9), pages 1-21, September.
    8. Cabrales, Luis Enrique Bergues & Aguilera, Andrés Ramírez & Jiménez, Rolando Placeres & Jarque, Manuel Verdecia & Ciria, Héctor Manuel Camué & Reyes, Juan Bory & Mateus, Miguel Angel O’Farril & Palenc, 2008. "Mathematical modeling of tumor growth in mice following low-level direct electric current," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(1), pages 112-120.
    9. Aguilera, Andrés Ramírez & Cabrales, Luis Enrique Bergues & Ciria, Héctor Manuel Camué & Pérez, Yudelmis Soler & Oria, Eduardo Roca & Brooks, Soraida Acosta & González, Tamara Rubio, 2009. "Distributions of the potential and electric field of an electrode elliptic array used in tumor electrotherapy: Analytical and numerical solutions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2091-2105.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:82:y:2012:i:8:p:1396-1406. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.