Abstract
Background: For electroporation-based therapies, accurate modeling of the electric field distribution within the target tissue is important for predicting the treatment volume. In response to conventional, unipolar pulses, the electrical impedance of a tissue varies as a function of the local electric field, leading to a redistribution of the field. These dynamic impedance changes, which depend on the tissue type and the applied electric field, need to be quantified a priori, making mathematical modeling complicated. Here, it is shown that the impedance changes during high-frequency, bipolar electroporation therapy are reduced, and the electric field distribution can be approximated using the analytical solution to Laplace's equation that is valid for a homogeneous medium of constant conductivity. Methods: Two methods were used to examine the agreement between the analytical solution to Laplace's equation and the electric fields generated by 100 μs unipolar pulses and bursts of 1 μs bipolar pulses. First, pulses were applied to potato tuber tissue while an infrared camera was used to monitor the temperature distribution in real-time as a corollary to the electric field distribution. The analytical solution was overlaid on the thermal images for a qualitative assessment of the electric fields. Second, potato ablations were performed and the lesion size was measured along the x- and y-axes. These values were compared to the analytical solution to quantify its ability to predict treatment outcomes. To analyze the dynamic impedance changes due to electroporation at different frequencies, electrical impedance measurements (1 Hz to 1 MHz) were made before and after the treatment of potato tissue. Results: For high-frequency bipolar burst treatment, the thermal images closely mirrored the constant electric field contours. The potato tissue lesions differed from the analytical solution by 39.7 ± 1.3 % (x-axis) and 6.87 ± 6.26 % (y-axis) for conventional unipolar pulses, and 15.46 ± 1.37 % (x-axis) and 3.63 ± 5.9 % (y-axis) for high- frequency bipolar pulses. Conclusions: The electric field distributions due to high-frequency, bipolar electroporation pulses can be closely approximated with the homogeneous analytical solution. This paves way for modeling fields without prior characterization of non-linear tissue properties, and thereby simplifying electroporation procedures.
Original language | English |
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Article number | S3 |
Journal | BioMedical Engineering Online |
Volume | 14 |
DOIs | |
State | Published - 2015 |
Externally published | Yes |
Funding
The publication costs for this article were funded by Virginia Tech’s Open Access Subvention Fund. The research costs were supported in part by the NSF and CIT under Awards CAREER CBET-1055913, CIT CRCF MF13-034-LS and NSF IIP 1346343. This article has been published as part of BioMedical Engineering OnLine Volume 14 Supplement 3, 2015: Select articles from the 6th European Conference of the International Federation for Medical and Biological Engineering (MBEC 2014). The full contents of the supplement are available online at http://www.biomedical-engineering-online.com/ supplements/14/S3. The authors thank Dr. Ahmad Safaai-Jazi for reviewing the manuscript and providing constructive feedback, Mohammad Bonakdar for guidance with the electrical impedance measurements and Dr. Richard Adler of Applied Energetics, Inc. for assistance on the high-frequency pulse amplifier. The authors also acknowledge the Institute for Critical Technology and Applied Science (ICTAS) of Virginia Tech for their support of this research.
Funders | Funder number |
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National Science Foundation | |
Directorate for Engineering | 1346343, 1055913 |
Institute for Critical Technology and Applied Science | |
Changshu Institute of Technology | IIP 1346343, CBET-1055913 |