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A fundamental solution for radiofrequency heating due to a point electrical current in an infinite spatial domain: Numerical proofs with MATHEMATICA and ANSYS

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Abstract Radiofrequency ablation (RFA) is a minimally invasive therapy widely used for the treatment of tumours. Mathematical modelling of RFA allows medical practitioners to understand the involved electro-thermal transport, thereby… Click to show full abstract

Abstract Radiofrequency ablation (RFA) is a minimally invasive therapy widely used for the treatment of tumours. Mathematical modelling of RFA allows medical practitioners to understand the involved electro-thermal transport, thereby helping to improve the effectiveness of prescribed treatments. To this end, we aimed to deduce and numerically prove an analytical transient-time solution for temperature due to a point source of electrical current in an infinite medium. The solution, deduced with the Fourier transform, involves double integrals. The outer integral is a time integral, which was calculated with the trapezoidal rule. The inner integral is a generalised spatial integral with defects, which was computed using the MATHEMATICA command ‘NIntegrate’. For the radius r ≥ 0.088841 m, the computation with NIntegrate was straightforward and the results conformed well to those obtained with ANSYS. For r

Keywords: current infinite; due point; radiofrequency; solution; electrical current

Journal Title: Engineering Analysis With Boundary Elements
Year Published: 2021

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