Journal
BULLETIN OF MATHEMATICAL BIOLOGY
Volume 70, Issue 8, Pages 2334-2357Publisher
SPRINGER
DOI: 10.1007/s11538-008-9349-7
Keywords
Blood flow; Cancer; Homogenization; Capillary; Vascular network; Porous medium; Mean field
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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.
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