(176am) Title:Modeling and Simulation of Magnetophoresis of Nanoparticles – Physical Insights into Magnetic Targeting Applications

The field of magnetophoresis (i.e. the motion induced by a magnetic field on a particle of magnetic or magnetizable material in a fluid) has been attracting attention for over a decade due to its numerous applications in biomedical engineering. This is because magnetic particles have the ability to preferentially bind to target biomaterials and still respond to magnetic field. In addition to this, magnetic field enables drug-loaded nanoparticle to overcome Brownian diffusion in the body system and accelerate the delivery of drugs to a target site which makes it a promising technique for effecting drug delivery and targeting. Since the invivo experiments are expensive and difficult to conduct for such systems, a mechanistic model that can predict the dynamics and distribution of paramagnetic particles is necessary for the optimal design of drug delivery systems. We have developed a novel mathematical model (1D and 3D) that can predict the transport of paramagnetic nanoparticle in solution under the influence of magnetic field. Our approach involves the study and balancing of all body forces that act on paramagnetic nanoparticle under the influence of magnetic field. The role of magnetophoretic diffusion and convection of paramagnetic particles in solution, as modelled, and their effect on the concentration profile of the system were investigated, and concentration profiles were predicted using magnets of different magnetic strengths. We also, analyze the effect of activity coefficient on the concentration profile of the system. Our findings were backed up by invitro experimental study of paramagnetic nanoparticle transport in a tube. The result obtained from our model and experiment show the promising application of magnetophoresis to drug delivery and targeting without bothering about blood brain barrier and brownian motion of drug in the central nervous system (CNS).

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