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

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  • 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
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    References listed on IDEAS

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    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.
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    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.

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