Mtb parameters |
α1
|
Growth rate intracellular Mtb |
1.003 |
cells |
α2
|
Growth rate extracellular Mtb |
1.001 |
cells |
α3
|
Death rate of extracellular Mtb in caseum |
1.5 |
cells |
Core model parameters |
γ1
|
Diffusion time step |
60 |
seconds |
γ2
|
Molecular time step |
6 |
seconds |
γ3
|
Diffusion smoother time step |
1.2 |
seconds |
γ4
|
Number of smoother steps |
0 |
n/a |
γ5
|
Number of host cells causing caseation |
10 |
n/a |
γ6
|
Time to heal caseation |
[1642, 2462] |
days |
γ7
|
Threshold for TNFα induced apoptosis |
[1393, 2089] |
molecules |
γ8
|
Rate of TNFα induced apoptosis |
[1.17e–6, 1.76e–6] |
1/seconds |
γ9
|
Minimum number chemokine molecules |
[0.514, 0.77] |
molecules |
γ10
|
Saturating number of chemokine molecules |
[374, 562] |
molecules |
γ11
|
Diffusivity of TNFα |
5.2e–8 |
cm2/s |
γ12
|
Diffusivity of IL10 |
5.2e–8 |
cm2/s |
γ13
|
Diffusivity of active TGF-β1 |
5.2e–8 |
cm2/s |
γ14
|
Diffusivity of chemokines |
5.2e–8 |
cm2/s |
γ15
|
Degradation rate of TNFα |
0.00158 |
molecules/molecular time step |
γ16
|
Degradation rate of IL10 |
0.00048 |
molecules/molecular time step |
γ17
|
Degradation rate of inactive TGF-β1 |
[9.28e-6, 1.39e–5] |
molecules/molecular time step |
γ18
|
Degradation rate of active TGF-β1 |
[8.0e-4, 0.0012] |
molecules/molecular time step |
Macrophage parameters |
μ1
|
Fraction of grid compartments with a macrophage |
[0.024, 0.036] |
n/a |
μ2
|
Number of time steps before a resting macrophage can move |
2 |
n/a |
μ3
|
Number of time steps before an activated macrophage can move |
16 |
n/a |
μ4
|
Number of time steps before an infected macrophage can move |
[112, 168] |
n/a |
μ5
|
Synthesis rate of TNFα |
1.5 |
molecules/diffusion time step |
μ6
|
Synthesis rate of CCL2 |
6 |
molecules/diffusion time step |
μ7
|
Synthesis rate of CCL5 |
6 |
molecules/diffusion time step |
μ8
|
Synthesis rate of CCL9 |
12 |
molecules/diffusion time step |
μ9
|
Synthesis rate of IL10 by an activated macrophage |
0.3 |
molecules/diffusion time step |
μ10
|
Synthesis rate of IL10 by and infected macrophage |
0.02 |
molecules/diffusion time step |
μ11
|
Synthesis rate of Inactive TGF-β1 by macrophages |
[0.0001, 0.01] |
molecules/diffusion time step |
μ12
|
Number of bacteria a resting macrophage can phagocytose |
1 |
n/a |
μ13
|
Probability of resting macrophage killing bacteria |
[0.23, 0.35] |
n/a |
μ14
|
Threshold for intracellular bacteria causing chronically infected macrophages |
[8,12] |
bacteria |
μ15
|
Threshold for intracellular bacteria causing macrophage to burst |
[13, 20] |
bacteria |
μ16
|
Number of bacteria an activated macrophage can phagocytose |
[4, 6] |
n/a |
μ17
|
Fraction of inactive TGF-β1 activated by a mac |
[1e–6, 1] |
n/a |
μ18
|
Amount of TGF-β1 that inhibits macrophages |
[1e–6, 1] |
molecules |
μ19
|
Fraction of active TGF-β1 in a compartment bound by a mac |
[1e–6, 1] |
n/a |
μ20
|
Probability of an activated macrophage healing a caseated compartment in its Moore neighborhood |
[0.0128, 0.0129] |
n/a |
T cell parameters |
τ1
|
Probability of a T cell moving to the same compartment as a macrophage |
[0.05, 0.08] |
n/a |
τ2
|
Probability of a T cell moving to the same compartment as a T cell |
0.08 |
n/a |
τ3
|
Synthesis rate of TNFα by IFNγ-producing T-cell |
0.15 |
molecules/diffusion time step |
τ4
|
IFNγ-producing T-cell probability of inducing Fas/FasL mediated apoptosis |
[0.0152, 0.0228] |
n/a |
τ5
|
Probability of IFNγ-producing T-cell to secrete TNFα |
[0.048, 0.072] |
n/a |
τ6
|
Probability of IFNγ-producing T-cell to secrete TNFα |
[0.288, 0.432] |
n/a |
τ7
|
Synthesis rate of TNFα by cytotoxic T-cell |
0.015 |
molecules/diffusion time step |
τ8
|
Probability of a cytotoxic T-cell killing a macrophage |
[0.012, 0.18] |
n/a |
τ9
|
Probability of a cytotoxic T-cell killing a macrophage and all associated Mtb |
[0.61, 0.91] |
n/a |
τ10
|
Probability of cytotoxic T-cell to secrete TNFα |
[0.056, 0.084] |
n/a |
τ11
|
Synthesis rate of IL10 by regulatory Tcell |
0.739 |
molecules/diffusion time step |
τ12
|
Synthesis rate of TGF-β1 by regulatory T cell |
[0.0001, 0.01] |
molecules/diffusion time step |
τ13
|
Probability a regulatory T cell will deactivate an activated macrophage |
[0.011, 0.016] |
n/a |
τ14
|
Bound TGF-β1 that inhibits T cells |
[0.04, 0.2] |
molecules |
τ15
|
Fraction of active TGF-β1 in a compartment bound by a T cell |
[1e–4, 0.2] |
n/a |
Fibroblast Parameters |
ζ1
|
Maximum fibroblast age 28800 agent timesteps ζ2 Initial number of fibroblasts in a simulation |
50 |
n/a |
ζ3
|
Probability a fibroblast will move |
[0.001, 0.5] |
n/a |
ζ4
|
Synthesis rate of TGF-β1 by a fibroblast |
[0.001, 0.1] |
molecules/diffusion time step |
ζ5
|
Units of αSMA synthesized per TGF-β1 binding event |
1e–10 |
n/a |
ζ6
|
Time until a fibroblast can attempt to proliferate |
[24, 48] |
hours |
ζ7
|
Bound molecules of IL10 that inhibits fibroblast proliferation/differentiation |
[1e4, 2e4] |
molecules |
ζ8
|
TGF-β1 myofibroblast differentiation threshold |
[2.0e–7, 8.0e-7] |
molecules |
ζ9
|
TGF-β1 fibroblast proliferation threshold |
[2.0e–7, 8.0e-7] |
molecules |
ζ10
|
Minimum ratio of TGF-β1 to IL10 required for myofibroblast differentiation |
[1e–11, 1e–9] |
n/a |
ζ11
|
TNFα fibroblast proliferation/differentiation threshold |
[0.025, 0.5] |
molecules |
ζ12
|
Synthesis rate of Il10 by fibroblast |
[3.48e–22, 3.48e–16] |
molecules/molecular time step |
ζ13
|
Binding rate of Il10 by fibroblast |
[1e–12, 1e–8] |
molecules/molecular time step |
ζ14
|
Fibroblast sensitivity to Il10 |
[0.001, 10] |
n/a |
ζ15
|
Fibroblast sensitivity to TGF-β1 |
[0.000001, 0.1] |
n/a |
ζ16
|
Probability of a fibroblast differentiating into a myofibroblast |
[0.1, 5.0] |
n/a |
Myofibroblast Parameters |
ω1
|
Collagen synthesis rate |
[1e–7, 1e–5] |
molecules/agent time step |
ω2
|
Probability of apoptosis |
[0.002, 0.2] |
n/a |
ω3
|
αSMA degradation rate |
[0.001, 10] |
molecules/molecular time step |
ω4
|
αSMA synthesis rate |
[1e–10] |
molecules/molecular time step |
Recruitment Parameters |
ρ1
|
Maximum macrophage recruitment probability |
[0.112, 0.168] |
n/a |
ρ2
|
Maximum IFNγ-producing T cell recruitment probability |
[0.112, 0.168] |
n/a |
ρ3
|
Maximum cytotoxic T cell recruitment probability |
[0.079, 0.12] |
n/a |
ρ4
|
Maximum regulatory T cell recruitment probability |
[0.0232, 0.0348] |
n/a |