Table 1.

Model parameters (dimensional) in the model (2) with relevant reference values.

Parameters	Description	Dimensional value
Reference variables
$T^{\ast }$	Time	${10}^4$ s
$L^{\ast }$	Length	${10}^{-2}$ m
$u^{\ast }$	Velocity	${10}^{-6}$ $\text{m}/\text{s}$
$D^{\ast }$	Diffusion	${10}^{-8}$ ${\text{m}}^2/\text{s}$
${\rho }_{\text{c}}^{\ast }$	Tumor cell density	100 $\text{kg}/{\text{m}}^3$
${\rho }_{\text{w}}^{\ast }$	Fluid density	1000 $\text{kg}/{\text{m}}^3$
${\rho }^{\ast }$	ECM density	1 $\text{kg}/{\text{m}}^3$
$G^{\ast }$	MDE	${10}^{-4}$ $\text{kg}/{\text{m}}^3$
$C^{\ast }$	CCL21	${10}^{-4}$ $\text{kg}/{\text{m}}^3$
$P^{\ast }$	Pressure	${10}^4$ $\text{Pa}$
Diffusion coefficients
$D_{\text{G}}$	MDE	$8\times {10}^{-12}$ ${\text{m}}^2/\text{s}$
$D_{\text{C}}$	CCL21	$3.5\times {10}^{-14}$ ${\text{m}}^2/\text{s}$
Parameters of $\mathrm{\Lambda }$
${\xi }_1$	Parameter characterizing $\mathrm{\Lambda }$ (dependence on C)	$4\times {10}^4$ ${\text{m}}^3/\text{kg}$
${\mathrm{\Lambda }}_0,{\mathrm{\Lambda }}_1$	Parameter characterizing $\mathrm{\Lambda }$	0, 37500 $\text{Pa}$
Production/decay rates
${\lambda }_{11}$	Proliferation of tumor cells	$1.875\times {10}^{-5}$ $1/\text{s}$
${\lambda }_{12}$	Decay of tumor cells	$2.5\times {10}^{-5}$ $1/\text{s}$
${\lambda }_{13}$	Decay of tumor cells	$1.25\times {10}^{-5}$ $1/\text{s}$
${\lambda }_{21}$	Degradation of ECM	10 ${\text{m}}^3/\text{kg s}$
${\lambda }_{22}$	Release/reconstruction of ECM	$1.25\times {10}^{-3}$ $1/\text{s}$
${\lambda }_{23}$	Release/reconstruction of ECM	0 $1/\text{s}$
${\lambda }_{24}$	Release/reconstruction of ECM	$1.25\times {10}^{-3}$ $1/\text{s}$
${\lambda }_{31}$	Natural decay of MDE	$2.5\times {10}^{-3}$ $1/\text{s}$
${\lambda }_{32}$	Production by cells of MDE	$2\times {10}^{-2}$ $\text{kg}/{\text{m}}^3\text{s}$
${\lambda }_{33}$	Logistic term constant MDE	$2\times {10}^{-2}$ $1/\text{s}$
${\nu }_{\text{G}}$	Related to logisitic function	1
${\lambda }_{41}$	Proteolytically freed CCL21	$3.2\times {10}^{-3}$ ${\text{m}}^3/\text{kg s}$
${\lambda }_{42}$	Logistic term constant CCL21	$1.44\times {10}^{-4}$ ${\text{m}}^3/\text{kg s}$
${\lambda }_{43}$	Logistic term constant CCL21	$3.2\times {10}^{-3}$ ${\text{m}}^3/\text{kg s}$
${\lambda }_{44}$	Cell consumption CCL21	$1\times {10}^{-9}$ $\text{kg}/{\text{m}}^3\text{s}$
${\nu }_{\text{C}}$	Related to logistic function	0.2