Table 2:
Parameters of fits of ID and DD models to Mtb (Erdman) CFU and CEQ data in lesions of macaques.
| 1 – 21 days | 21 – 28 days | 8 – 77 days | |||||
|---|---|---|---|---|---|---|---|
| Model | (day−1) | (day−1) | (day−1) | (day−1) | (day−1) | (day−1) | (day−1) |
| DD model min early rates | 0.000 | 0.422 | 0.000 | 0.989 | 0.782 | 0.079 | 0.134 |
| DD model high early rates | 0.000 | 0.915 | 0.492 | 0.915 | 0.708 | 0.079 | 0.134 |
|
| |||||||
| DD model min early rates | 0.036 | 0.422 | 0.000 | 1.066 | 0.859 | 0.810 | 0.865 |
| DD model high early rates | 0.036 | 0.998 | 0.575 | 0.998 | 0.791 | 0.810 | 0.865 |
|
| |||||||
| ID model min early rates | 0.000 | 0.422 | 0.000 | 0.401 | 0.194 | 0.006 | 0.062 |
| ID model max early rates | 0.000 | 0.487 | 0.065 | 0.207 | 0.000 | 0.006 | 0.062 |
|
| |||||||
| ID model min early rates | 0.036 | 0.458 | 0.036 | 0.437 | 0.230 | 0.042 | 0.098 |
| ID model max early rates | 0.036 | 0.523 | 0.101 | 0.243 | 0.036 | 0.042 | 0.098 |
We digitized the data on CFU and CEQ dynamics from Lin et al.13 and fitted alternative models to these data (see Figure 3). Because CEQs at 21 days post-infection were not shown in original publication, we considered extreme assumptions to generate a range of feasible possibilities of estimated parameters during early infection. Minimum early rates are obtained by assuming Z = 1 on day 21 of infection, and maximum early rates are obtained by setting at 21 days post-infection equal to at 28 days post-infection. In some cases the latter assumption led to replication rates significantly in excess of 1 day−1. In these cases, we set . It turned out that setting in some cases led to very small differences in rate between weeks 1–3 and week 4 of infection. In these cases, we fit the data with kept constant during the first 4 weeks of infection.