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

ISSN Imprimir: 2152-5102
ISSN On-line: 2152-5110

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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

RESUMO

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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