In-silico investigation of intratumoural magnetic hyperthermia for breast cancer therapy using FePt or FeCrNbB magnetic nanoparticles

Abstract

In this work, we conduct a numerical study on magnetic nanoparticle hyperthermia for the treatment of a breast tumour. The geometry of the problem is comprised of a deformed ellipsoidal tumour region, a healthy glandular tissue region, a fat tissue layer and a skin tissue layer. An aqueous suspension of magnetic nanoparticles (FeCrNbB or FePt) is directly injected into the breast tumour using a syringe. The perfusion of blood through the tissue regions is modelled using the Darcy-Brinkman-Forchheimer equation, and the shear-thinning behaviour of blood is described by the Carreau–Yasuda model. The transport and deposition of nanoparticles within the tissues, the temperature distribution during therapy, and the survival rates of healthy cells and cancer cells are also considered. The governing equations with their associated initial and boundary conditions are solved using the finite element method, and the solution algorithm developed in FreeFEM++ was validated against results from the existing literature. Subsequently, the influence of the nanoparticle solid volume fraction, injection time, and magnetic field amplitude and oscillation frequency on the velocity, temperature, nanoparticle concentration distribution, duration required for effective hyperthermia, and thermal damage to healthy tissues was examined. The numerical results reveal that the cell damage is greater in skin tissue than the healthy gland and fat tissues. For small injection time (tinj=0.4), the healthy gland tissue damage is greater for FePt nanoparticles than FeCrNbB nanoparticles. However, this trend is reversed for larger injection times (tinj=0.5, 0.6). For small magnetic field frequency (ω=5×104, 105), the maximum tissue temperature is higher with FePt nanoparticles than FeCrNbB nanoparticles, but a reversal in trend occurs for larger values of ω (ω=2×105). The findings show that the time duration required for effective magnetic hyperthermia and thermal damage to the healthy tissue regions is reduced with increased injected nanoparticle volume fraction, duration of nanoparticle injection, and the amplitude and frequency of the alternating magnetic field. Moreover, the effective hyperthermia duration and the healthy tissue damage are less for FePt nanoparticles than FeCrNbB nanoparticles.