FDM-based 2D Numerical Study of Hyperthermia Cancer Treatment by Micro/Nano-Phase-Change Materials

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RESEARCH PAPER

FDM‑based 2D Numerical Study of Hyperthermia Cancer Treatment by Micro/Nano‑Phase‑Change Materials Ali Asghar Taheri1   · Faramarz Talati2  Received: 18 November 2018 / Accepted: 30 August 2019 © Shiraz University 2019

Abstract Hyperthermia is one of the methods for cancer therapies by creating artificial fever. Protection of healthy tissues around the tumor tissue, which has a high temperature, is one of the major issues in this treatment. In present study, the two-dimensional transient model of biological tissue with a tumor is taken into account. The area of the tumor is embedded with micro/nano superparamagnetic materials, and the surrounding healthy tissues are embedded with microcapsules of micro/nano-phasechange materials (PCMs). The effect of concentrations, the radius of the microcapsule, the melting temperature and latent heat of phase-change nanoparticles and also superparamagnetic nanoparticles on thermal protection were examined numerically by using the finite difference method. The results showed that the use of PCMs causes sensible decreases in temperatures of the healthy tissue around the cancerous cells (in some places up to 3 ℃) that leads to treatment complications reduction. If the protection of healthy tissues is well done, it is possible to raise the temperature of the cancerous tissue to achieve more favorable treatment. Keywords  Hyperthermia · Cancer · Electromagnetic (EM) field · Superparamagnetic materials (SPMs) · Phase-change materials (PCMs) · Bioheat equation · Finite difference method (FDM) List of Symbols C Heat Capacity (J/m3K) E Strength of Electric Field (V/m) f Frequency of Electromagnetic Field (Hz) hf Apparent Heat Convection Coefficient between the Skin Surface and the Water (W/m2K) K Thermal Conductivity (W/mK) n Concentrations of Micro/Nanoparticles Q Heat Generation Rate (W/m3)) R Radius of the Magnetic Induction Loop (m) r Radius of Micro/Nanoparticles (m) T Temperature (℃) t Time x, y Space Components

* Faramarz Talati [email protected] Ali Asghar Taheri [email protected] 1



University of Tabriz, Tabriz, Iran



Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran

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Greek Symbols 𝜀 Permittivity Dielectric Constant (C/N m2) 𝜀 Mean Absolute Error 𝜂 Volume Ratio of Nanoparticles (1/m3) 𝜇0 Permeability of Free Space (T m/A) 𝜎 Electrical Conductivity (S/m) 𝜒 Susceptibility of Magnetic Nanoparticles 𝜔b Blood Perfusion Rate (1/s) 𝜔 Relaxation Factor Ω Solution Domain Ωh Heating Area Superscripts p Iteration s Time Increment Subscripts i, j Computational Nodes l Liquid s Solid 1 Healthy Tissue Area 2 Tumor Area with SPMs 3 Healthy Tissue Area with PCMs

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Vol.:(0123456789)



Iranian Journal of Science and Technology, Transactions of Mechanical Engineering

1 Introduction One of the adjunctive therapies for cancer is hyperthermia using the microwave, infrared, ultrasound, laser and electromagnetic (EM) field. Hyperthermia with other methods of cancer treatment such as chemotherapy and radiation thera