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Research Papers

The Effect of Shape Factor on the Magnetic Targeting in the Permeable Microvessel With Two-Phase Casson Fluid Model

[+] Author and Article Information
Sachin Shaw

School of Applied Sciences,  KIIT University, Bhubaneswar 751 024, Odisha, Indiasachinshaw@gmail.com

P. V. S. N. Murthy

Department of Mathematics,  Indian Institute of Technology Kharagpur, Kharagpur 721 302, West Bengal, Indiapvsnm@maths.iitkgp.ernet.in

J. Nanotechnol. Eng. Med 2(4), 041003 (Apr 04, 2012) (8 pages) doi:10.1115/1.4005675 History: Received May 12, 2011; Accepted June 16, 2011; Published March 30, 2012; Online April 04, 2012

The present investigation deals with magnetic drug targeting in a microvessel of radius 5 μm using two-phase fluid model. The microvessel is divided into the endothelial glycocalyx layer wherein the blood obeys Newtonian character and a core region wherein the blood obeys the non-Newtonian Casson fluid character. The carrier particles, bound with nanoparticles and drug molecules, are injected into the vascular system upstream from the malignant tissue and are captured at the tumor site using a local applied magnetic field near the tumor position. Brinkman model is used to characterize the permeable nature of the inner wall of the microvessel. The expressions for the fluidic force for the carrier particle traversing in the two-phase fluid in the microvessel and the magnetic force due to the external magnetic field are obtained. Several factors that influence the magnetic targeting of the carrier particles in the microvasculature, such as the size and shape of the carrier particle, the volume fraction of embedded magnetic nanoparticles, and the distance of separation of the magnet from the axis of the microvessel, are considered in the present problem. The system of coupled equations is solved to obtain the trajectories of the carrier particle in the noninvasive case.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

(a) Geometry and reference frame of the present analysis, schematic diagram of the two-layer model of two-phase blood flow in a uniform microchannel and (b) blood flow in a microvessel. Erythrocytes flow at the core and plasma at the peripheral layer. Glycocalyx holds negative charges and there are net positive charges in flow [17].

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Figure 2

Trajectories of the carrier particles for different values of the permeability parameter for (a) spherical, (b) prolate ellipsoid (p = 3.5), (c) circular disk, and (d) cylinder (k = 3.5) (d = 55 mm, βvf = 56%, and Ms  = 106 )

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Figure 3

Trajectories of the carrier particles for different values of magnetization for (a) spherical, (b) prolate ellipsoid (p = 3.5), (c) circular disk, and (d) cylinder (k = 3.5) (d = 55 mm, βvf  = 56%, and K = 10 × 10−4 )

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Figure 4

Trajectories of the carrier particles for different volume fractions of the magnetic particles for (a) spherical, (b) prolate ellipsoid (p = 3.5), (c) circular disk, and (d) cylinder (k = 3.5) (d = 55 mm, K = 10 × 10−4 , and Ms  = 106 )

Grahic Jump Location
Figure 5

Trajectories of the carrier particles for different distances of the magnetic particles for (a) spherical, (b) prolate ellipsoid (p = 3.5), (c) circular disk, and (d) cylinder (k = 3.5) (βvf  = 56%, K = 10 × 10−4 , and Ms  = 106 )

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