  The aim of this paper is to investigate the asymptotic behavior of a biphase
tumor fluid flow derived by 2-scale homogenisation techniques in recent works.
This biphase fluid flow model accounts for the capillary wall permeability, and
the interstitial avascular phase, both being mixed in the limit homogenised
problem. When the vessel walls become more permeable, we show that the biphase
fluid flow exhibits a boundary layer that makes the computation of the full
problem costly and unstable. In the limit, both capillary and interstitial
pressures coincide except in the vicinity of the boundary where different
boundary conditions are applied. Thanks to a rigorous asymptotic analysis, we
prove that the solution to the full problem can be approached at any order of
approximation by a monophasic model with appropriate boundary conditions on the
tumor boundary and appropriate correcting terms near the boundary are given.
Numerical simulations in spherical geometry illustrate the theoretical results.
