Table 1.

Nominal parameter values

Name	Value		Unit	Role	Reference
${\lambda }_1$	1.92	$\times {10}^{-1}$	1/day	Proliferation rate of sensitive cells	Hahnfeldt et al. (1999)
${\lambda }_2$	0.96	$\times {10}^{-1}$	1/day	Proliferation rate of resistant cells
${}^{\ast }{\tau }_1$	2.00	$\times {10}^{-5}$	1/day	Mutation rate toward the resistant phenotype
${}^{\ast }{\tau }_2$	1.00	$\times {10}^{-5}$	1/day	Mutation rate toward the sensitive phenotype
$\mu$	0.00		1/day	Natural death rate of endothelial cells	Hahnfeldt et al. (1999)
b	5.85		1/day	Vascular growth rate stimulated by cancer cells	Hahnfeldt et al. (1999)
d	8.73	$\times {10}^{-3}$	day${}^{-1}$vol${}^{-2/3}$	Vascular inhibition rate by cancer cells	Hahnfeldt et al. (1999)
${}^{\ast }{\beta }_1$	0.3		day${}^{-1}$conc${}^{-1}$	Sensitivity rate of sensitive cells to the chemotherapy agent
${}^{\ast }\beta$	0.1		day${}^{-1}$conc${}^{-1}$	Sensitivity rate of the vasculature to the chemotherapy agent
$\gamma$	2		day${}^{-1}$conc${}^{-1}$	Sensitivity rate of the vasculature to the anti-angiogenic agent
u(t)	[0, 1]			Concentration of chemotherapy
v(t)	[0, 1]			Concentration of anti-angiogenic agent
$N_{\mathrm{init}}$	300		mm${}^3$	Initial volume of the tumor
$N_{\mathrm{sat}}$	17,000		mm${}^3$	Saturating volume of the tumor in the absence of therapy
$N_{\mathrm{crit}}$	8000		mm${}^3$	Critical (fatal) volume of the tumor
$T_S$			day	Survival time
$N_1$			mm${}^3$	Sensitive population
$N_2$			mm${}^3$	Resistant population
K			mm${}^3$	Carrying capacity

Parameters marked with ${}^{\ast }$ are varied between simulations (see text)