Table 5.1.

Parameters for the combined model given by (5.1). Concentrations are in units of k/μL, and time is measured in days. Initial concentrations of naïve T cells, effector cells, positive growth signal, and iTregs are calculated using parameters given above.

Parameter	Description	Estimate
s	Supply rate of naïve T cells	0.0016k/μL day−1
a(t), a0	Antigen stimulation rate, steady state value	a0 = 4%/day
r1	Effector cell growth rate upon interacting with positive growth signal	0.62(k/μL)−1 day−1
r2	Positive signal secretion rate by effector cells	100/day
k	Mass action coefficient	20(k/μL)−1 day−1
dE	Effector cell death rate	0.35/day
dp	Positive growth signal decay rate	5.5/day
dR	iTreg death rate	0.23/day
ε	iTreg differentiation rate from effector cells	0.002/day
Initial concentrations		Values
N(0)	s/a0	0.04k/μL
E(0)	Stable solution to $\frac{dE}{dt}=s-d_{E}E+\frac{r_1{r}_2{E}^2}{d_p+kE}-\frac{\epsilon k}{d_R}{E}^2=0$	0.0056k/μL
p(0)	$\frac{r_{2}E(0)}{d_p+kE(0)}$	0.010k/μL
R(0)	$\frac{\epsilon }{d_R}E(0)$	4.9 × 10−5k/μL