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Table 4 Constrained model fits to the human influenza infection data in Figure 6.

From: Exploring the effect of biological delays in kinetic models of influenza within a host or cell culture

A/Texas/36/91 (H1N1) [38]
Dista c (h–1) p b,c τ L (h) σ L τ I (h) σ I (h) (h) R 0 SSRd
exp 0.19 0.022 280 5.4 16.9 3.7 11.7 89 1.00
δ 0.059 2.85 62 10.2 23.0 10.2 23.0 390 1.00
N 0.059 0.013 100 1.8 (4.6 h)c 12.1 (9.7 h) 3.9 13.4 240 0.98
lnN 0.059 0.72 99 8.7 (0.49) 14.5 (0) 8.7 14.5 250 1.00
A/Bethesda/1/85 (H3N2) [39]
Dist c (h–1) V 0 p τ L (h) σ L τ I (h) σ I (h) (h) R 0 SSR
exp 0.11 7.0 1.3 × 105 9.0 2.2 6.4 1.5 20 0.91
δ 0.10 28.4 7.7 × 103 9.9 31.5 9.9 31.5 320 0.88
N 0.10 10.6 1.2 × 104 9.6 (4.6 h) 19.9 (9.7 h) 9.7 20.1 200 0.90
lnN 0.10 11.8 8.0 × 103 8.5 (0.49) 30.4 (0) 8.5 30.4 300 0.91
  1. a — Delay model used: exponential (exp), fixed (δ), normal (N), and lognormal (lnN).
  2. b — Units of p are [V]·h–1, where [V] = TCID50/mL, the units of viral titer.
  3. c — The value of was held fixed at 1 h–2 for all fits; values in parentheses were also eld fixed.
  4. d — SSR′ is the ratio of the SSR to that of the empirical fit.