Table 1. Model parameters.
Name | Definition | Dimension | Range | Value |
Parameters that were fixed in model fitting | ||||
σm | Macrophage supply | cell mm−3 day−1 | 8.0–10.0 | 10.0 |
σO | Th0 supply | cell mm−3 day−1 | 0.00001–0.001 | 0.001 |
μm | Macrophages death rate | day−1 | 0.11–0.025 | 0.02 |
μI | Infected macrophages death rate | day−1 | 0.11–0.025 | 0.02 |
μB | Bacteria death rate | day−1 | 0–1.0 | 0.03 |
μ 0 | Th0 decay/death rate | day−1 | 0.1–0.01 | 0.01 |
μ 1 | Th1 decay/death rate | day−1 | 0.1–0.01 | 0.03 |
μ 2 | Th2 decay/death rate | day−1 | 0.01–0.01 | 0.02 |
km | Bacteria removal by macrophages | mm−3 day−1 | 0–10−4 | 0.000125 |
kl | Th1 lytic effect | mm−3 day−1 | 0.0–0.2 | 0.00004 |
No | Burst size | 80.0–100.0 | 100.0 | |
Parameters that were varied in model fitting | ||||
θ 1 | Th1 cells clonal expansion | - | 1.0−104 | 9000.0 |
θ 2 | Th2 cells clonal expansion | - | 1.0−104 | 9000.0 |
δm | Th0 differentiation into Th1 cells | mm−3 day−1 | 0.0–1.0 | 0.01 |
δB | Th0 differentiation into Th2 cells | mm−3 day−1 | 0.0–1.0 | 0.01 |
ki | Macrophage infection rate | mm−3 day−1 | 0–10−2 | 0.002 |
kb | Infected macrophages burst rate | day−1 | 0–10−4 | 0.00075 |
We list parameters that have been derived using information from the following literature sources [12], [30], [65]–[69] and are considered as the default values in the model simulations. Fixed parameters were not changed in the simulations and in the model fitting to data, while the rest were allowed to vary.