An efficient computational model of the in-flow capturing of magnetic nanoparticles by a cylindrical magnet for cancer nanomedicine

TL;DR

This paper introduces an efficient computational model to simulate how magnetic nanoparticles are captured by a cylindrical magnet, aiding cancer nanomedicine research by improving understanding of transport barriers.

Contribution

A novel analytical and computational model for nanoparticle capture by cylindrical magnets, enabling rapid simulation of different configurations in vitro and in vivo.

Findings

Model accurately predicts nanoparticle capture efficiency.

Enables exploration of magnet design parameters.

Facilitates development of improved magnetic nanoparticle therapies.

Abstract

Magnetic nanoparticles have emerged as a promising approach to improving cancer treatment. However, many novel nanoparticle designs fail in clinical trials due to a lack of understanding of how to overcome the in vivo transport barriers. To address this shortcoming, we develop a novel computational model aimed at the study of magnetic nanoparticles in vitro and in vivo. In this paper, we present an important building block for this overall goal, namely an efficient computational model of the in-flow capture of magnetic nanoparticles by a cylindrical permanent magnet in an idealised test setup. We use a continuum approach based on the Smoluchowski advection-diffusion equation, combined with a simple approach to consider the capture at an impenetrable boundary, and derive an analytical expression for the magnetic force of a cylindrical magnet of finite length on the nanoparticles. This provides a simple and numerically efficient way to study different magnet configurations and their influence on the nanoparticle distribution in three dimensions. Such an in silico model can increase insight into the underlying physics, help to design novel prototypes and serve as a precursor to more complex systems in vivo and in silico.