A Study by Finite Elements of the Transport of Magnetic Nanoparticles in a Straight Microchannel under the Influence of a Magnetic Field Generated by a Current Line

Some microfluidic devices for the analysis of biological samples use magnetic nanoparticles as markers of bioactive agents. When they circulate through the microchannels, they diffuse depending on the forces acting in the MNP. In this article a model of the distribution of magnetic nanoparticle concentration in a straight microchannel is present. The distribution of MNP is affected by the influence of a magnetic field generated by a current line and the dynamics of the fluid that transports them. To model the dynamic behavior of the nanoparticles, the Navier-Stokes equation and the convection-diffusion equation were combined with the magnetic field equation. The concentration of MNP was distributed evenly in the region near the current line. The simulations performed are used as a tool for the design of a microfluidic system for the detection and quantification of cancer cells.