Analysis of nonlinear bioheat transfer equation in magnetic fluid hyperthermia
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DOI 10.1007/s12206-020-0841-9
Journal of Mechanical Science and Technology 34 (9) 2020 Original Article DOI 10.1007/s12206-020-0841-9 Keywords: · Nonlinear bioheat transfer equation · Blood perfusion rate · Magnetic fluid hyperthermia · Temperature dependency of blood perfusion · Nanoparticles infusion
Correspondence to: Mohammadmahdi Attar [email protected]
Citation: Zomordikhani, Z., Attar, M., Jahangiri, A. Barati, F. (2020). Analysis of nonlinear bioheat transfer equation in magnetic fluid hyperthermia. Journal of Mechanical Science and Technology 34 (9) (2020) ?~?. http://doi.org/10.1007/s12206-020-0841-9
Received January 25th, 2020 Revised
May 10th, 2020
Accepted July 5th, 2020 † Recommended by Editor Sehyun Shin
Analysis of nonlinear bioheat transfer equation in magnetic fluid hyperthermia Zahed Zomordikhani, Mohammadmahdi Attar, Alireza Jahangiri and Farzan Barati School of Engineering, Hamedan Branch, Islamic Azad University, Hamedan, Iran
Abstract The objective of this study is to examine the role of blood perfusion in magnetic fluid hyperthermia by drug delivery. Although increasing blood perfusion due to high local temperature difference refers to the intelligent response of the human body, some researchers are accustomed to employing a constant rate of blood perfusion in the bioheat transfer equation. In this study, we considered a variable volumetric rate for blood perfusion in tissue, experimentally and numerically by Galerkin method. To validate the results obtained from numerical methods, an experimental procedure proposed. Furthermore, in order to transfer magnetic fluid by drug delivery, infusion pomp by which the saline serum with nanoparticles through the vein and artery was employed to make a spherical distribution in tissue. This circulation made it possible to transfer nanoparticles to tissue without any injection. After 60 minutes and changing the dark color of the saline serum to light clear, high amount of nanoparticles (about 90 %) was transferred to the tissue. After slicing the tissue, the rather spherical distribution of nanoparticles may be illustrated. Afterward, that circulation at the rate equal to blood perfusion has been made to simulate blood perfusion in dead tissue. To measure temperature, seven Lm35 sensors have been inserted into the tissue to report temperature differences. Based on results, there was seen a significant change in hyperthermic temperature difference in comparison with results obtained from Pennes' bioheat transfer equation. Additionally, a difference of about 5-10 % was seen between numerical and experimental results.
1. Introduction
© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Some researchers have strived to predict the temperature gradient in hyperthermia with magnetic fluid. Although some authors have considered a constant rate for the blood perfusion in cancerous/ healthy tissue [1-4], current study employs an exponential form for the simulation of the blood perfusion for ca
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