Parameter

Description

% Change in Tumor Size

Parameter

decreased by 5%

Parameter

increased by 5%

$a_w$

Growth rate of wild-type tumor cells.

−0.0001000%

0.0000905%

$T_K$

Carrying capacity of wild-type and mutant tumor cells combined in the absence of tumor angiogenesis.

−0.0022626%

0.0022626%

$\alpha$

Rate of circulating lymphocyte production.

0.0000786%

−0.0000782%

$p_1$

Maximum rate of production of TGF-β by hypoxic tumor cells.

−1.8985642%

1.7851783%

$b_1$

Critical tumor size at which the angiogenic switch occurs.

0.0000014%

−0.0000014%

$S_1$

Concentration of TGF-β necessary to reduce the CD8+ T cell killing rate of tumor cells by half.

0.0000000%

−0.0000000%

w

Rate of Treg cell production.

−0.0000055%

0.0000054%

$b_K$

Proliferation rate of angiogenic endothelial cells.

−2.0499774%

1.9076866%

$K_{max}$

Rate at which TGF-β stimulates tumor growth.

−3.7233483%

3.6382439%

e

Rate of NK synthesis.

0.0000937%

−0.0000938%

$r_1$

Rate of activation of CD8+ T cells due to NK cell-lysed tumor cell debris.

0.0000003%

−0.0000003%

$p_R$

Rate of IL-2-induced Treg cell proliferation.

−0.0000097%

0.0000097%

d

Immune strength coefficient.

0.0000004%

−0.0000004%

l

Immune system strength scaling coefficient.

−0.0000097%

0.0000042%

s

Value describing how quickly CD8+ T cells respond to the presence of a tumor.

−0.0000004%

0.0000004%

${\lambda }_{Mo}$

Differentiation rate of monocytes to M1 macrophages and to M2 macrophages.

−0.0000004%

0.0000004%

${\lambda }_{M_2}$

Maximal rate at which M1 macrophages are activated to become M2 macrophages.

−0.0000000%

0.0000000%

$M_0$

Source term of monocytes.

−0.0000004%

0.0000004%

$T_0$

Source term of naïve helper T cells.

−0.0000721%

0.0000694%

${\lambda }_{T_2}$

Production rate of Th2 cells.

−0.0000001%

0.0000001%

${\lambda }_{I_4{M}_2}$

Production rate of IL-4 by M2 macrophages.

−0.0000000%

0.0000000%

${\lambda }_{I_{10}{M}_2}$

Production rate of IL-10 by M2 macrophages.

−0.0000003%

0.0000002%

${\lambda }_{I_{10}{T}_2}$

Production rate of IL-10 by Th2 cells.

−0.0000001%

0.0000001%