Table 4.

Boundary conditions used in this study.

Region	Boundary conditions for
	Fluid flow	Concentration
Tumor center	$\mathrm{\nabla }{P}_i=0$	$D\mathrm{\nabla }C+v_{i}C=0$
Inner boundary	$-k_t\mathrm{\nabla }{P}_i{\mathrm{\Omega }}^{-}=-k_n\mathrm{\nabla }{P}_i{\mathrm{\Omega }}^{+}$	$\left(D_t,\mathrm{\nabla },C,+,v_i,C\right){\mathrm{\Omega }}^{-}=\left(D_n,\mathrm{\nabla },C,+,v_i,C\right){\mathrm{\Omega }}^{+}$
	$P_i{\mathrm{\Omega }}^{-}=P_i{\mathrm{\Omega }}^{+}$	$C{\mathrm{\Omega }}^{-}=C{\mathrm{\Omega }}^{+}$
Outer boundary	$P_i$= Constant	$-n·\mathrm{\nabla }\mathrm{C}=0$

${\mathrm{\Omega }}^{-}$ and ${\mathrm{\Omega }}^{+}$ demonstrates the tumor and healthy tissue at the boundary, respectively.