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. Author manuscript; available in PMC: 2013 Dec 1.
Published in final edited form as: J Immunol. 2012 Oct 24;189(11):5250–5256. doi: 10.4049/jimmunol.1200666

Table I.

Parameter estimates for CD4+ T cell dynamics.a

parameter symbol unit Model A Model B Model C
Proliferation rate ρLLO118 day−1 0.99 [0.97,1.01] 1.05 [1.03,1.07] 1.03 [1.01,1.05]
ρLLO56 0.91 [0.88,0.93] 0.91 [0.88,0.93] 0.95 [0.93,0.97]
Memory cell formation rLLO118 day−1 0.20 [0.15,0.24] 0.03 [0.02,0.03] 0.31 [0.28,0.34]
rLLO56 0.11 [0.08,0.12] 0.04 [0.03,0.04] 0.33 [0.31,0.35]
Activated cells at t = 0 A(0)LLO118 cells 148 [140,155] 147 [140,155] 152 [144,159]
A(0)LLO56 80 [74,86] 82 [76,88] 63 [59,67]
Death rate of memory cells
δMLLO118
day−1 0.16 [0.16,0.17] 0.14 [0.13,0.15] 0.14 [0.13,0.15]
δMLLO56
0.06 [0.05,0.07] 0.06 [0.05,0.06] 0.05 [0.04,0.06]
Death rate of activated cells δA day−1 1.37 [1.07,1.66] 0.68 [0.61,0.74] 0.51 [0.47,0.54]
End of proliferation phase T day 7.4 [7.2,7.5] 7.1 [7,7.2] 6.7 [6.6,6.8]
residual mean square MNSQ 3.381 3.393 3.393
a

Parameter estimates for the basic model ((A), Eqs. (1a) and (1b)), for a model assuming constant memory cell production during the proliferation phase ((B), Eqs. (4a) and (4b)), and for a model assuming the alternative differentiation pathway ((C), Eqs. (5a) and (5b)). 95% confidence intervals for the estimates are calculated based on the standard error approximated by the Hessian-matrix. MNSQ indicates the residual mean square for each model (see Materials and Methods for the calculation).