A numerical study on the effect of static magnetic field on the hemodynamics of magnetic fluid in biological porous media

Abstract

High interstitial fluid pressure in the tumor is among the most important barriers to drug delivery. The use of the static magnetic field is one of the treatment modalities for cancers and tumors. In this study, the effect of magnetic field on pressure and magnetized interstitial fluid preservation is discussed. The simulation is solved in two-dimensional space using the COMSOL Multiphysics 5.4.0 software. The geometry includes the porous space of healthy tissue and tumor, as well as the parent vessel as the source and the lymphatic system as the sink modeled based on the biology of the body. Governing coupled equations solved in this simulation include fluid flow in the porous space, which are solved using the law of mass and momentum conservation. The magnetic field equations are solved independently and finally the term of the volume force is coupled to the serial flow equations affecting the interstitial fluid pressure. The concentration distribution is the product of Fick’s equations, which is solved in porous media by the magnetic field according to the bolus injection method. Simulation results show that by applying the static magnetic field generated from permanent magnet to the homogenous magnetic fluid, the magnetized interstitial fluid pressure in the tissue and especially in the tumor region decreases, leading to the higher concentration of the drug that reaches the tumor.