American Institute of Mathematical Sciences

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2005, 2(3): 445-460. doi: 10.3934/mbe.2005.2.445

Interstitial Pressure And Fluid Motion In Tumor Cords

Alessandro Bertuzzi 1, , Antonio Fasano 2, , Alberto Gandolfi 1, and  Carmela Sinisgalli 1,

1. 

Istituto di Analisi dei Sistemi ed Informatica ''A. Ruberti", CNR, Viale Manzoni 30, 00185 Roma, Italy, Italy, Italy
2. 

Dipartimento di Matematica "U. Dini", Università di Firenze, Viale Morgagni 67/A, 50134 Firenze

Received  January 2005 Revised  June 2005 Published  August 2005

This work illustrates the behavior of the interstitial pressure and of the interstitial fluid motion in tumor cords (cylindrical arrangements of tumor cells growing around blood vessels of the tumor) by means of numerical simulations on the basis of a mathematical model previously developed. The model describes the steady state of a tumor cord surrounded by necrosis and its time evolution following cell killing. The most relevant aspects of the dynamics of extracellular fluid are by computing the longitudinal average of the radial fluid velocity and of the pressure field. In the present paper, the necrotic region is treated as a mixture of degrading dead cells and fluid.
Keywords: cancer treat- ment, interstitial pressure, extracellular fluid, tumor growth, free boundary problems, PDE modeling.
Mathematics Subject Classification: 35R35, 92C37, 92C5.
Citation: Alessandro Bertuzzi, Antonio Fasano, Alberto Gandolfi, Carmela Sinisgalli. Interstitial Pressure And Fluid Motion In Tumor Cords. Mathematical Biosciences & Engineering, 2005, 2 (3) : 445-460. doi: 10.3934/mbe.2005.2.445
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