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. Author manuscript; available in PMC: 2018 Sep 21.
Published in final edited form as: J Theor Biol. 2017 Jun 20;429:1–17. doi: 10.1016/j.jtbi.2017.06.017

Table A1.

Parameters used for wide parameter sweep

Symbol Parameter name Value or range Units
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