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Effect of Fluid Friction on Interstitial Fluid Flow Coupled with Blood Flow through Solid Tumor Microvascular Network
Joint Authors
Bazmara, Hossein
Soltani, M.
Sefidgar, Mostafa
Raahemifar, Kaamran
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-19
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A solid tumor is investigated as porous media for fluid flow simulation.
Most of the studies use Darcy model for porous media.
In Darcy model, the fluid friction is neglected and a few simplified assumptions are implemented.
In this study, the effect of these assumptions is studied by considering Brinkman model.
A multiscale mathematical method which calculates fluid flow to a solid tumor is used in this study to investigate how neglecting fluid friction affects the solid tumor simulation.
The mathematical method involves processes such as blood flow through vessels and solute and fluid diffusion, convective transport in extracellular matrix, and extravasation from blood vessels.
The sprouting angiogenesis model is used for generating capillary network and then fluid flow governing equations are implemented to calculate blood flow through the tumor-induced capillary network.
Finally, the two models of porous media are used for modeling fluid flow in normal and tumor tissues in three different shapes of tumors.
Simulations of interstitial fluid transport in a solid tumor demonstrate that the simplifications used in Darcy model affect the interstitial velocity and Brinkman model predicts a lower value for interstitial velocity than the values that Darcy model predicts.
American Psychological Association (APA)
Sefidgar, Mostafa& Soltani, M.& Raahemifar, Kaamran& Bazmara, Hossein. 2015. Effect of Fluid Friction on Interstitial Fluid Flow Coupled with Blood Flow through Solid Tumor Microvascular Network. Computational and Mathematical Methods in Medicine،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1057963
Modern Language Association (MLA)
Sefidgar, Mostafa…[et al.]. Effect of Fluid Friction on Interstitial Fluid Flow Coupled with Blood Flow through Solid Tumor Microvascular Network. Computational and Mathematical Methods in Medicine No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1057963
American Medical Association (AMA)
Sefidgar, Mostafa& Soltani, M.& Raahemifar, Kaamran& Bazmara, Hossein. Effect of Fluid Friction on Interstitial Fluid Flow Coupled with Blood Flow through Solid Tumor Microvascular Network. Computational and Mathematical Methods in Medicine. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1057963
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1057963