Multiscale Modeling of Fluid Transport in Tumors

被引：62

作者：

Chapman, S. Jonathan ^{[1
]}

Shipley, Rebecca J. ^{[1
]}

Jawad, Rossa ^{[1
]}

机构：

[1] Univ Oxford, Inst Math, Oxford OX1 3LB, England

来源：

BULLETIN OF MATHEMATICAL BIOLOGY | 2008年 / 70卷 / 08期

关键词：

Blood flow; Cancer; Homogenization; Capillary; Vascular network; Porous medium; Mean field;

D O I：

10.1007/s11538-008-9349-7

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A model for fluid flow through the leaky neovasculature and porous interstitium of a solid tumor is developed. A network of isolated capillaries is analyzed in the limit of small capillary radius, and analytical expressions for the hydraulic conductivities and fractional leakage coefficients derived. This model is then homogenized to give a continuum description in terms of the vascular density. The resulting equations comprise a double porous medium with coupled Darcy flow through the interstitium and vasculature.

引用

页码：2334 / 2357

页数：24

共 27 条

[1] Transmural coupling of fluid flow in microcirculatory network and interstitium in tumors [J].