Table 2.

Estimates of parameters (Kim et al. 2008; Michor et al. 2005)

Parameter	Description	Estimate
λ	Fractional adjustment constant	0.75
d0	Stem cell death rate	0.003 λ/day
d1	Progenitor cell death rate	0.008 λ
d2	Differentiated cell death rate	0.05 λ
d3	Terminal cell death rate	λ
ry	Stem cell regeneration rate	0.008/day
ay	Stem cell growth rate	1.6 (without imatinib treatment) 1.6/100 (with imatinib treatment)
by	Progenitor cell growth rate	10 (without imatinib treatment) 10/750 (with imatinib treatment)
cy	Differentiated cell growth rate	100
rz	Imatinib resistant mutation stem cell regeneration rate	0.023/day
az	Imatinib resistant mutation stem cell growth rate	1.6
bz	Imatinib resistant mutation progenitor cell growth rate	10
cz	Imatinib resistant mutation differentiated cell growth rate	100
k	Kinetic (mixing) coefficient	1 (k/μL)−1/day
p0	Probability that T-cell engages cancer cell	0.8
qC	Probability that cancer cell dies from encounter with T-cell	0.75
qT	Probability that T-cell survives encounter with cancer cell	0.5
τ	Duration of one T-cell division	1 day
n	Average number of T-cell divisions	1.2
dT	Anti-leukemia T-cell death rate	0.001/day
sT	Anti-leukemia T-cell supply rate	1.2 × 10−6 (k/μL)/day
cn	Decay rate of immune responsivity	1 (k/μL)−1
y0(0)	Initial leukemia stem cell concentration	1.8 × 10−5k/μL