Mathematical modeling of fluid flow in brain tumor

• Autorzy: Riahi D. N. , Roy R.
• Języki publikacji: EN

Abstrakty

EN

We consider the problem of fluid flow in a brain tumor. We develop a mathematical model for the one-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 only with respect to the radial distance from the center of the tumor. The interstitial ve- locity in the radial direction and the interstitial pressure are determined analytically, while the radial variations of two investigated drug concentrations were determined numerically. We calculated these quantities in the tumor, in a corresponding normal tissue and for the concentrations also in the cavity that can exist after the tumor is removed. We determine, in particular, the way the interstitial pressure and velocity vary, which agrees with the expe- riments, as well as the way one drug concentration changes in the presence or absence of a second drug concentration within the tumor. We find that the amount of drug delivery in the tumor can be enhanced in the presence of another drug in the tumor, while the ratio of the amount of one drug in the tumor to its amount in the normal tissue can be reduced in the presence of the second drug in the tumor and the tissue.

Słowa kluczowe

EN

tumor; brain tumor; spherical tumor; drug concentration; fluid flow

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2014
• Tom: Vol. 52 nr 1
• Strony: 271--279
• Opis fizyczny: Bibliogr. 16 poz., rys., tab.

Twórcy

autor

Riahi D. N.

• University of Texas-Pan American, Department of Mathematics, Edinburg, USA

autor

Roy R.

• University of Texas-Pan American, Department of Mathematics, Edinburg, USA

Bibliografia

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