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Applying Polynomial Chaos Expansions to Evaluate the Effect of Tissue Non-Homogeneous Properties in Biotransport

[+] Author Affiliations
Maher Salloum

Sandia National Laboratories, Livermore, CA

Ronghui Ma, Liang Zhu

University of Maryland Baltimore County, Baltimore, MD

Paper No. SBC2013-14174, pp. V01AT21A002; 2 pages
  • ASME 2013 Summer Bioengineering Conference
  • Volume 1A: Abdominal Aortic Aneurysms; Active and Reactive Soft Matter; Atherosclerosis; BioFluid Mechanics; Education; Biotransport Phenomena; Bone, Joint and Spine Mechanics; Brain Injury; Cardiac Mechanics; Cardiovascular Devices, Fluids and Imaging; Cartilage and Disc Mechanics; Cell and Tissue Engineering; Cerebral Aneurysms; Computational Biofluid Dynamics; Device Design, Human Dynamics, and Rehabilitation; Drug Delivery and Disease Treatment; Engineered Cellular Environments
  • Sunriver, Oregon, USA, June 26–29, 2013
  • Conference Sponsors: Bioengineering Division
  • ISBN: 978-0-7918-5560-7
  • Copyright © 2013 by ASME


Modeling drug transport in tissues has recently gained a lot of attention in the bioengineering community due its vast areas of applications [1]. Such injections often employ a positive pressure infusion directly in the target tissue. It is often referred to as convection enhanced delivery. There are several studies that addressed this problem in the literature. These studies rely on mathematical models of flow in porous media (Darcy, Brinkman...) and are successful in accounting for the existence of capillaries, tissue metabolism, etc. However, these models rely on the assumption that the tissue properties (e.g. permeability) are uniform inside tumors. MicroCT imaging following nanofluid infusion often reveals highly irregular distributions due to the spatial heterogeneity of the tissue [2].

Copyright © 2013 by ASME



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