ArticleBiomedical engineering online2011
Analytical and numerical solutions of the potential and electric field generated by different electrode arrays in a tumor tissue under electrotherapy.
Article in Biomedical engineering online, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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9 citing papers in PubMed.
- Reduce electrical overload via threaded Chinese acupuncture in nerve electrical therapy.Bioactive materials · 2025Article
- The influence of external electric fields on proton transfer tautomerism in the guanine-cytosine base pair.Physical chemistry chemical physics : PCCP · 2021Article
- Tissue Damage, Temperature, and pH Induced by Different Electrode Arrays on Potato Pieces (Frontiers in oncology · 2018Article
- Histological and Mathematical Analysis of the Irreversibly Electroporated Liver Tissue.Technology in cancer research & treatment · 2017Article
- Review-Physicochemical hydrodynamics of gas bubbles in two phase electrochemical systems.Journal of the Electrochemical Society · 2017Article
- Article
- Magnetic resonance imaging of electrolysis.Scientific reports · 2015Article
- Electrical impedance tomography of electrolysis.PloS one · 2015Article
- Educational application for visualization and analysis of electric field strength in multiple electrode electroporation.BMC medical education · 2012Article
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Authors and funding
4 authors.
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Abstract
backgroundElectrotherapy is a relatively well established and efficient method of tumor treatment. In this paper we focus on analytical and numerical calculations of the potential and electric field distributions inside a tumor tissue in a two-dimensional model (2D-model) generated by means of electrode arrays with shapes of different conic sections (ellipse, parabola and hyperbola).
methodsAnalytical calculations of the potential and electric field distributions based on 2D-models for different electrode arrays are performed by solving the Laplace equation, meanwhile the numerical solution is solved by means of finite element method in two dimensions.
resultsBoth analytical and numerical solutions reveal significant differences between the electric field distributions generated by electrode arrays with shapes of circle and different conic sections (elliptic, parabolic and hyperbolic). Electrode arrays with circular, elliptical and hyperbolic shapes have the advantage of concentrating the electric field lines in the tumor.
conclusionThe mathematical approach presented in this study provides a useful tool for the design of electrode arrays with different shapes of conic sections by means of the use of the unifying principle. At the same time, we verify the good correspondence between the analytical and numerical solutions for the potential and electric field distributions generated by the electrode array with different conic sections.
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