Diffusion of magnetic nanoparticles in a multi-site injection process within a biological tissue during magnetic fluid hyperthermia using lattice Boltzmann method

In this study the lattice Boltzmann model (LBM) has been used to simulate diffusion of magnetic nanoparticles (MNPs) injected at multiple sites inside a biological tissue during magnetic fluid hyperthermia (MFH). To validate the numerical results, diffusion in infinite one and two dimensional domains have been compared with the analytical solutions. Agreement were excellent. Also diffusion of a water based nanofluid containing magnetite MNPs (ferrofluid) for mono and multi-site injection in the tissue has been studied. Moreover, the effects of ferrofluid injection volume as well as infusion flow rate of ferrofluid on the distribution of MNPs have been investigated.

► We model diffusion of magnetic nanoparticles (MNPs) inside a biological tissue during magnetic fluid hyperthermia (MFH).
► We use lattice Boltzmann model (LBM) to study the diffusion of ferrofluid for mono-site and multi-site injection.
► We investigate the effects of ferrofluid injection volume as well as infusion flow rate of ferrofluid on the distribution of MNPs.
► The results will show that the distribution of MNPs for multi-site injection covers all points of the irregular tumors.