TY - JOUR
T1 - Modeling superparamagnetic particles in blood flow for applications in magnetic drug targeting
AU - Rukshin, Iris
AU - Mohrenweiser, Josef
AU - Yue, Pengtao
AU - Afkhami, Shahriar
N1 - Publisher Copyright:
© 2017 by the authors.
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2017/6
Y1 - 2017/6
N2 - Magnetic drug targeting is a technique that involves the binding of medicine to magnetizable particles to allow for more specific transport to the target location. This has recently come to light as a method of drug delivery that reduces the disadvantages of conventional systemic treatments. This study developed a mathematical model for tracking individual superparamagnetic nanoparticles in blood flow in the presence of an externally applied magnetic field. The model considers the magnetic attraction between the particles and the external magnet, influence of power law flow, diffusive interaction between the particles and blood, and random collisions with red blood cells. A stochastic system of differential equations is presented and solved numerically to simulate the paths taken by particles in a blood vessel. This study specifically focused on localized cancer treatment, in which a surface tumor is accessed through smaller blood vessels, which are more conducive to this delivery method due to slower flow velocities and smaller diameters. The probability of the particles reaching the tumor location is found to be directly dependent on ambient factors; thus, diffusion through Brownian motion and red blood cell collisions, different magnetic field and force models, blood viscosities, and release points are considered.
AB - Magnetic drug targeting is a technique that involves the binding of medicine to magnetizable particles to allow for more specific transport to the target location. This has recently come to light as a method of drug delivery that reduces the disadvantages of conventional systemic treatments. This study developed a mathematical model for tracking individual superparamagnetic nanoparticles in blood flow in the presence of an externally applied magnetic field. The model considers the magnetic attraction between the particles and the external magnet, influence of power law flow, diffusive interaction between the particles and blood, and random collisions with red blood cells. A stochastic system of differential equations is presented and solved numerically to simulate the paths taken by particles in a blood vessel. This study specifically focused on localized cancer treatment, in which a surface tumor is accessed through smaller blood vessels, which are more conducive to this delivery method due to slower flow velocities and smaller diameters. The probability of the particles reaching the tumor location is found to be directly dependent on ambient factors; thus, diffusion through Brownian motion and red blood cell collisions, different magnetic field and force models, blood viscosities, and release points are considered.
KW - Blood flow
KW - Magnetic drug targeting
KW - Superparamagnetic nanoparticles
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U2 - 10.3390/fluids2020029
DO - 10.3390/fluids2020029
M3 - Article
AN - SCOPUS:85034803310
VL - 2
JO - Fluids
JF - Fluids
SN - 2311-5521
IS - 2
M1 - 29
ER -