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The behaviors of ferromagnetic nano-particles in and around blood vessels under applied magnetic fields

Nacev, A. and Beni, C. and Bruno, O. and Shapiro, B. (2011) The behaviors of ferromagnetic nano-particles in and around blood vessels under applied magnetic fields. Journal of Magnetism and Magnetic Materials, 323 (6). pp. 651-668. ISSN 0304-8853.

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In magnetic drug delivery, therapeutic magnetizable particles are typically injected into the blood stream and magnets are then used to concentrate them to disease locations. The behavior of such particles in-vivo is complex and is governed by blood convection, diffusion (in blood and in tissue), extravasation, and the applied magnetic fields. Using physical first-principles and a sophisticated vessel-membrane-tissue (VMT) numerical solver, we comprehensively analyze in detail the behavior of magnetic particles in blood vessels and surrounding tissue. For any blood vessel (of any size, depth, and blood velocity) and tissue properties, particle size and applied magnetic fields, we consider a Krogh tissue cylinder geometry and solve for the resulting spatial distribution of particles. We find that there are three prototypical behaviors (blood velocity dominated, magnetic force dominated, and boundary-layer formation) and that the type of behavior observed is uniquely determined by three non-dimensional numbers (the magnetic-Richardson number, mass Péclet number, and Renkin reduced diffusion coefficient). Plots and equations are provided to easily read out which behavior is found under which circumstances ([Fig. 5], [Fig. 6], [Fig. 7] and [Fig. 8]). We compare our results to previously published in-vitro and in-vivo magnetic drug delivery experiments. Not only do we find excellent agreement between our predictions and prior experimental observations, but we are also able to qualitatively and quantitatively explain behavior that was previously not understood.

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Additional Information:© 2010 Elsevier B.V. Received 11 March 2010; revised 26 August 2010. Available online 22 September 2010. This research was supported in part by NIBIB/NIH grant number R21EB009265. We would like to thank the support provided by a NPSC graduate fellowship in addition to support from the Air Force Office of Scientific Research and the National Science Foundation.
Funding AgencyGrant Number
National Institute of Biomedical Imaging and Bioengineering (NIBB)/NIHR21EB009265
National Physical Science Consortium (NPSC)UNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Subject Keywords:Magnetic drug targeting; Ferromagnetic nanoparticles; Simulations; Tissue; Blood vessels; Treatment depth; Non-dimensional parameters; In-vivo experiments
Issue or Number:6
Record Number:CaltechAUTHORS:20110207-101558443
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Official Citation:A. Nacev, C. Beni, O. Bruno, B. Shapiro, The behaviors of ferromagnetic nano-particles in and around blood vessels under applied magnetic fields, Journal of Magnetism and Magnetic Materials, Volume 323, Issue 6, March 2011, Pages 651-668, ISSN 0304-8853, DOI: 10.1016/j.jmmm.2010.09.008. (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:22046
Deposited By: Jason Perez
Deposited On:07 Feb 2011 21:30
Last Modified:03 Oct 2019 02:33

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