Numerical Simulation of Superparamagnetic Nanoparticle Motion in Blood Vessels for Magnetic Drug Delivery

TL;DR

This paper presents a numerical model for superparamagnetic nanoparticle motion in blood flow, assessing magnetic drug delivery effectiveness in various vessel types and under different magnetic field conditions.

Contribution

It introduces a comprehensive numerical simulation incorporating blood rheology, Brownian motion, and magnetic field effects, providing insights into optimal delivery strategies.

Findings

Magnetic drug delivery is most effective in arterioles and capillaries.

Point dipole magnets outperform bar magnets in nanoparticle capture.

Optimal nanoparticle release positions depend on vessel type and magnet placement.

Abstract

A numerical model is developed for the motion of superparamagnetic nanoparticles in a non-Newtonian blood flow under the influence of a magnetic field. The rheological properties of blood are modeled by the Carreau flow and viscosity, and the stochastic effects of Brownian motion and red blood cell collisions are considered. The model is validated with existing data and good agreement with experimental results is shown. The effectiveness of magnetic drug delivery in various blood vessels is assessed and found to be most successful in arterioles and capillaries. A range of magnetic field strengths are modeled using equations for both a bar magnet and a point dipole: it is shown that the bar magnet is effective at capturing nanoparticles in limited cases while the point dipole is highly effective across a range of conditions. A parameter study is conducted to show the effects of changing the dipole moment, the distance from the magnet to the blood vessel, and the initial release point of the nanoparticles. The distance from the magnet to the blood vessel is shown to play a significant role in determining nanoparticle capture rate. The optimal initial release position is found to be located within the tumor radius in capillaries and arterioles to prevent rapid diffusion to the edges of the blood vessel prior to arriving at the tumor, and near the edge of the magnet when a bar magnet is used.