${\lambda}_{T\alpha T1}$ | Production rate of TNF-alpha by Th1 cells | 13.91 | IU cell | Est. from [31] |

${\lambda}_{I10T2}$ | Production rate of IL-10 by Th2 cells | 0.02 | IU cell | Est. from [31] |

${\lambda}_{I12T1}$ | Production rate of IL-12 by Th1 cells | 0.13 | IU cell | Est. from [31] |

${d}_{M1}$ | Death rate of M1 macrophages | 0.02 | day | [31] |

${d}_{M2}$ | Death rate of M2 macrophages | 0.008 | day | [31] |

${d}_{T1}$ | Death rate of Th1 cells | $1.97\times {10}^{-1}$ | day | [31] |

${d}_{T2}$ | Death rate of Th2 cells | $1.97\times {10}^{-1}$ | day | [31] |

${d}_{I\gamma}$ | Degradation rate of IFN-γ | 2.16 | day | [31] |

${d}_{T\alpha}$ | Degradation rate of TNF-α | 55.45 | day | [31] |

${d}_{I1\beta}$ | Degradation rate of IL-1β | 6.65 | day | [31] |

${d}_{I4}$ | Degradation rate of IL-4 | 50 | day | [31] |

${d}_{I10}$ | Degradation rate of Il-10 | 8.32 | day | [31] |

${d}_{I12}$ | Degradation rate of IL-12 | 1.38 | day | [31] |

${d}_{I\alpha}$ | Degradation rate of IFN-α | 2.16 | day | Est. from [31] |

${M}_{0}$ | Constant source of monocytes | $5\times {10}^{10}$ | cells L | [31] |

${T}_{0}$ | Constant source of naïve T cells | $2\times {10}^{10}$ | cells L | [31] |

${K}_{T1}$ | Th1 cell saturation | $1\times {10}^{10}$ | cells L | [31] |

${K}_{I\gamma}$ | IFN-γ saturation | $2.6\times {10}^{6}$ | IU L | [31] |

${K}_{I2}$ | IL-2 saturation | $8\times {10}^{6}$ | IU L | [31] |

${K}_{I4}$ | IL-4 saturation | $2.6\times {10}^{6}$ | IU L | [31] |

${K}_{I10}$ | IL-10 saturation | $3\times {10}^{4}$ | IU L | Est. from [31] |

${K}_{I12}$ | IL-12 saturation | $1.95\times {10}^{8}$ | IU L | [31] |

${K}_{M1}$ | M1 saturation | $5\times {10}^{10}$ | cells L | [31] |

${K}_{M2}$ | M2 saturation | $1\times {10}^{11}$ | cells L | [31] |

${K}_{I1\beta}$ | IL-1β saturation | $1.3\times {10}^{5}$ | IU L | [31] |

${K}_{I\alpha}$ | IFN-α saturation | $2.6\times {10}^{6}$ | IU L | Est. from [31] |

${K}_{T\alpha}$ | TNF-α saturation | $1.3\times {10}^{7}$ | IU L | [31] |

${K}_{TGF\beta}$ | TGF-beta saturation | 2600 | IU L | Est. from [31] |

${g}_{TGF\beta}$ | Concentration of TGF-β for half-maximal activation of Tregs | $7\times {10}^{4}$ | IU L | Est. |