Effect of mass transfer and diffusion on temperature distribution during magnetic hyperthermia

• Published in: Physica. B, Condensed matter Condensed matter, 2022-04, Vol.631, p.413498, Article 413498
• Main Authors: Roustaei, M., Servatkhah, M.
• Format: Article
• Language: English
• Subjects: Diffusion; Hyperthermia; Magnetic fluids; Mass transfer; Nanoparticles; Particle size distribution; Temperature; Temperature distribution; Tumors
• ISSN: 0921-4526; 1873-2135
• DOI: 10.1016/j.physb.2021.413498

In magnetic hyperthermia (MH), malignant cells are destroyed by heating the tumor tissue. The magnetic nanoparticles (MNs) are injected to tumor region and an alternating magnetic field is exerted to the region. The temperature distribution relates to the MNs distribution inside the tumor. Here, we consider that a spherical tumor tissue is embedded in a normal tissue. We employ a theoretical model to study the distribution of temperature within a tumor with considering injection of MNs inside the tumor. For this goal, the mass transfer and diffusion theories in interstitial tissue are used with Rosensweig's and Pennes equations. We have first obtained analytically. the interstitial pressure and interstitial transfer of MNs by diffusion equation. We have also obtained analytically the concentration distribution inside the tumor. Finally, temperature distribution is obtained numerically. From the obtained results, it is found that the temperature distribution depends on particle size, injection concentration and injection dose. Since the spherical tumor is considered in this work, the injection of magnetic fluid is selected in the radial direction. It is found that the best results for hyperthermia can be obtained with considering the intermediate radius of MNs, high injection dose and concentrations. •We have obtained temperature distribution during magnetic hyperthermia.•There theories model like mass transfer, diffusion and bio-heat are used.•The injection position, injection dose and injection concentration are important factors•The radius of magnetic nanoparticle has also important roles in treatment temperature.