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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110

Volumes:
Volumen 47, 2020 Volumen 46, 2019 Volumen 45, 2018 Volumen 44, 2017 Volumen 43, 2016 Volumen 42, 2015 Volumen 41, 2014 Volumen 40, 2013 Volumen 39, 2012 Volumen 38, 2011 Volumen 37, 2010 Volumen 36, 2009 Volumen 35, 2008 Volumen 34, 2007 Volumen 33, 2006 Volumen 32, 2005 Volumen 31, 2004 Volumen 30, 2003 Volumen 29, 2002 Volumen 28, 2001 Volumen 27, 2000 Volumen 26, 1999 Volumen 25, 1998 Volumen 24, 1997 Volumen 23, 1996 Volumen 22, 1995

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v43.i4.30
pages 319-332

On Two Dimensional Steady Flow in Solid Tumors

A. Gracia
School of Mathematical and Statistical Sciences, One West University Boulevard, University of Texas Rio Grande Valley, Brownsville, Texas 78520 USA
Daniel N. Riahi
School of Mathematical and Statistical Science, University of Texas Rio Grande Valley, Edinburg, Texas 78539, USA
Ranadhir Roy
School of Mathematical and Statistical Sciences, One West University Boulevard, University of Texas Rio Grande Valley, Brownsville, Texas 78520 USA

ABSTRAKT

We investigate the problem of fluid flow in solid tumors. We developed a mathematical model for the two dimensional fluid flow in a spherical tumor where the spatial variations of the interstitial velocity, interstitial pressure and the drug concentration within the tumor are, in general, with respect to the radial distance and the latitudinal angle in the spherical coordinates. We determined analytically the interstitial pressure, interstitial velocity and two investigated drug concentrations and calculated these quantities in the tumor as well as in a corresponding normal tissue. We found, in particular, that interstitial pressure in the tumor can be higher than that in the normal tissue, and there can be blood flow circulation in the tumor. Depending on the types of the two considered drug concentrations, we determined the results about the efficiency and the way drug delivery in the tumor takes place in the absence or presence of the drugs' interactions that could be significant in the presence of the two drugs in the tumor.


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