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. Author manuscript; available in PMC: 2012 Apr 21.
Published in final edited form as: J Theor Biol. 2011 Jan 27;275(1):59–69. doi: 10.1016/j.jtbi.2011.01.031

Table 6.1.

Parameters for the combined model given by (6.1). Concentrations are in units of k/μL, and time is measured in days.

Parameter Description Estimate

sH Supply rate of naïve CD4+ T cells 0.0024k/μL day−1
sK Supply rate of naïve CD8+ T cells 0.0016k/μL day−1
a(t), a0 Antigen stimulation rate, steady state value a0 = 4%/day
rH effector CD4+ growth rate upon interacting with positive growth signal 0.33(k/μL)−1 day−1
rK effector CD8+ growth rate upon interacting with positive growth signal 0.5(k/μL)−1 day−1
rp Positive signal secretion rate by effector CD4+ cells 100/day
k1 Mass action coefficient for iTreg-suppression of effector cells 20(k/μL)−1 day−1
k2 Mass action coefficient for consumption of growth signal by effectors 2(k/μL)−1 day−1
dH Effector CD4+ cell death rate 0.23/day
dK Effector CD8+ cell death rate 0.35/day
dR iTreg death rate 0.23/day
dp Positive growth signal decay rate 5.5/day
ε iTreg differentiation rate from effector cells 0.01/day

Initial concentrations Values

H0(0) sH/a0 0.06k/μL
K0(0) sK/a0 0.04k/μL
H(0) 0 (for simplicity)
K(0) 0 (for simplicity)
p(0) 0 (for simplicity)
R(0) 0 (for simplicity)