A review of mathematical models of influenza A infections within a host or cell culture: lessons learned and challenges ahead

Table 1 Kinetic parameters for influenza obtained from both fitting mathematical models to data and by direct estimation from experimental data.

Parameter	Values [References]
Mathematical models to fit experimental data
Average lifespan of an infected cell	39h [42], 6h and 11.4h [15], 18h and 48h [39], 6h–14h [47], 17h and 40h [31], 1.8h and 33h [45] 28h.
Average infectious lifespan of a virion	111h [42], 4.6h and 8h [15], 8h and 300h [39], 9.5h [47], 1.8h–9.1h [45], 5.7h and 2.6min [31]
Length of the latent (eclipse) phase	6h [15], 0.22h–6h [47], 6h–8.5h [45]
Rate of epithelial cell (re)growth per day	0.72 [42], 0.015 [75], 6.2 × 10^-8 and 0.34 [31]
Drug efficacy	0.97 and 0.99 [39] (oseltamivir), 0.56–0.92 [47] (amantadine)
Lifespan of interferon	3.5h [74], 60h [75]
Direct experimental measures
Average lifespan of an infected cell	12–48h [80–86]
Average infectious lifespan of a virion	0.5–3h [87–90]
Length of the latent (eclipse) phase	3–12h [42, 80, 82–84, 87, 88, 91–93]

Lifespan is defined as the inverse of the rate parameters (the sometimes alternatively used half-life contains an extra factor of log(2)). Note that some of the studies are in vitro and some in vivo. Multiple values come from either differences in strains or different models analyzed within a single study. Caveats about the reliability of the estimates obtained from model fitting are discussed in the section titled “Data diversity and quantity and its effect on parameter identifiability”.

ISSN: 1471-2458