Regular Article

Analytical modeling of hyperthermia using magnetic nanoparticles

Département de physique faculté de sciences université Abou Bekr Belkaid Tlemcen, Algeria

^* e-mail: nassim-83@hotmail.com

Received: 19 December 2017
Received in final form: 7 March 2018
Accepted: 4 April 2018
Published online: 8 June 2018

Abstract

Hyperthermia using magnetic nanoparticles (MNPs) is one of many techniques to treat cancer causing minimal damage to healthy tissues. In the present work we give an analytical resolution of the bio-heat equation (based on Pennes model) providing the temperature rise as a function of the characteristics of the magnetic nanoparticles, the applied magnetic field and the biological properties of the tissue. The temperature inside the tumor was found to be very sensitive to the frequency f of alternating magnetic field, magnetic field amplitude H₀ and volume fraction φ. This study optimizes the intensity of magnetic field to reach ideal hyperthermia conditions. When f varies between 50 and 150 KHz, temperature increases from 39 °C until 53 °C; when H₀ is ranged from 5 − 15 kA/m, it increases from 39.5 °C until 49 °C, and when volume fraction φ of MNPs is ranged from 2 × 10⁻⁴ to  3 × 10⁻⁴ it increases from 44 °C until 48 °C.