αE |
Growth rate of BE (1/d) |
0 |
αA |
Growth rate of BA (1/d) |
0 |
k2
|
Burst rate of infected macrophages (1/d) |
0.81139 |
k3
|
Activation rate of infected macrophages (1/d) |
0.023415 |
k4
|
Deactivation rate of activated macrophages (1/d) |
0.28876 |
k5
|
Take up of BE by activated macrophages (mL/cell/d) |
8.1301 ×10−5
|
k6
|
Rate of activation of resting macrophages (1/d) |
0.077068 |
k7
|
IL-10 production rate by infected macrophages (pg/mL/cell) |
0.50610 |
k8
|
IL-12 production rate by activated macrophages (pg/cell/d) |
0.28503 |
k9
|
IL-12 production rate by resting macrophages (pg/cell/d) |
5 ×10−4
|
k10
|
IL-2 production rate by T
4 (pg/cell/d) |
2.1873 ×10−4
|
k11
|
Loss of IL-2 due to proliferation of T
4 (pg/cell/d) |
1.6383 ×10−4
|
k12
|
Loss of IL-2 due to proliferation of T
8 (pg/cell/d) |
1.6383 ×10−5
|
k13
|
Rate of proliferation of T
4 by IL-2 (mL/pg/d) |
0.16383 |
k14
|
Rate of proliferation of T
8 by IL-2 (mL/pg/d) |
0.016383 |
c2
|
Saturation for activation of infected macrophages (pg/mL) |
50 |
c3
|
IFN-γ inhibition for deactivation of activated macrophages |
3 |
c4
|
Saturation for deactivation of activated macrophages (pg/mL) |
1 |
c5
|
Saturation for activation of resting macrophages (cell/mL) |
105
|
c6
|
IFN-γ saturation for activation of resting macrophages (pg/mL) |
20 |
c7
|
Saturation for IL-10 inhibition by IL-10 (pg/mL) |
5000 |
c8
|
Saturation for IL-12 inhibition by IL-10 (pg/mL) |
200 |
c9
|
Saturation for IL-12 production by resting macrophages (cell/mL) |
5000 |
c10
|
Saturation for T cell proliferation by IL-2 (pg/mL) |
50 |
c11
|
Saturation for IFN-γ production by T cells and IL-12 (cell/mL) |
50 |
n1
|
Average number of BI in an infected macrophage |
20 |
n2
|
Average number of BA in an activated macrophage |
5 |
n3
|
Threshold at which a resting macrophage becomes infected |
10 |
μMA |
Death rate of activated macrophages (1/d) |
0.015 |
μMI |
Death rate of infected macrophages (1/d) |
0.2 |
μ10
|
Decay rate of IL-10 (1/d) |
7.23 |
μ12
|
Decay rate of IL-12 (1/d) |
1.188 |
μ2
|
Decay rate of IL-2 (1/d) |
1.188 |
μγ |
Decay rate of IFN-γ (1/d) |
3 |
μT4
|
Death rate of T
4 (1/d) |
0.33 |
μT8
|
Death rate of T
8 (1/d) |
0.33 |
λu |
Rate of IFN- γ production by T
4 (pg/cell/day) |
1.24 ×10−4
|
λy |
Rate of IFN- γ production by T
8 (pg/cell/day) |
1.24 ×10−4
|