Interstitial Pressure And Fluid Motion In Tumor Cords
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1.
Istituto di Analisi dei Sistemi ed Informatica ''A. Ruberti", CNR, Viale Manzoni 30, 00185 Roma
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2.
Dipartimento di Matematica "U. Dini", Università di Firenze, Viale Morgagni 67/A, 50134 Firenze
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Received:
01 January 2005
Accepted:
29 June 2018
Published:
01 August 2005
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MSC :
35R35, 92C37, 92C50.
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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.
Citation: Alessandro Bertuzzi, Antonio Fasano, Alberto Gandolfi, Carmela Sinisgalli. Interstitial Pressure And Fluid Motion In Tumor Cords[J]. Mathematical Biosciences and Engineering, 2005, 2(3): 445-460. doi: 10.3934/mbe.2005.2.445
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Abstract
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.
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