Table 2 Model parameters
From: Mathematical modeling of the immune system recognition to mammary carcinoma antigen
Param | Description | Value(estimate) | Ref |
|---|---|---|---|
μ 1 | VC (VC) death rate | ln(2) = 9 | In vivo |
α 19 | VC killing rate by TC cells (TC) (killing) | 0.001 | Estimated |
α 17 | VC killing rate by AB (AB) molecules (killing) | 0.001 | Estimated |
q | No. of cancer cells to inject at every vaccine administration | 50 | SimTriplex |
γ 21 | released TAA (TAA) rate by killed VC | 3 | Estimated |
γ 28 | released TAA rate by killed CC (CC) | 3 | Estimated |
μ 2 | TAA natural degradation rate | ln(2) = 9 | In vivo |
α 20 | Binding rate between TAA and APC cells | 0.0005 | Estimated |
α 27 | Binding rate between TAA and AB (IC formation) | 0.00001 | Estimated |
γ 34 | plasma B cells (B) activation rate by TH cells (TH) | 0.05 | Estimated |
α 36 | B stimulation rate by IL2 (IL 2) | 0.0035 | Estimated |
s 3 | B duplication stimulation threshold due to IL2 | 400 | Estimated |
μ 3 | B cells natural death rate (half life) | ln(2) = 15 | [32] |
γ 40 | TH cells (TH) activation rate by APC (APC) cells | 0.15 | Estimated |
α 46 | TH cells stimulation rate by IL2 (IL 2) (duplication) | 0.009 | Estimated |
s 1 | duplication stimulation threshold due to IL2 | 1000 | Estimated |
α 45 | TH cells cells stimulation rate by (IL 12) IL12 (duplication) | 0.009 | Estimated |
s 2 | duplication stimulation threshold due to IL12 | 1000 | Estimated |
μ 4 | TH cells natural death rate (half life) | ln(2) = 15 | Estimated |
γ 51 | IL12 molecules release rate by VC | 10 | SimTriplex |
α 54 | absorbed IL12 rate by TH cells for mitotic signals | 0.00009 | Estimated |
α 59 | absorbed IL12 rate by TC cells for mitotic signals | 0.001 | Estimated |
μ 5 | IL12 molecules natural degradation rate | ln(2) = 9 | [33] |
γ 64 | IL2 release rate by TH | 5 | Estimated |
α 63 | absorbed IL2 rate by B cells for mitotic signals | 0.0001 | Estimated |
α 69 | absorbed IL2 rate by TC cells for mitotic signals | 0.0001 | Estimated |
μ 6 | IL2 molecules natural degradation rate | ln(2) = 3 | Estimated |
γ 73 | Released AB molecules rate by B cells | 3 | SimTriplex |
α 78 | AB - CC binding rate | 0.0001 | Estimated |
α 71 | AB - VC binding rate | 0.001 | Estimated |
α 72 | AB - TAA binding rate (IC formation) | = α72 | - |
μ 7 | AB natural degradation rate | ln(2) = 7 | [34] |
c max | CC (CC) growth saturation threshold | 107 | Estimated |
k | CC duplication rate | 0.0226 | SimTriplex |
p | No. of newborn CC due to transgenic nature of mice | 3 | SimTriplex |
α 88 | CC death rate due to other IS entities | 0.0000001176 | Estimated |
α 89 | CC killing rate by TC cells | 0.00004 | Estimated |
α 87 | CC killing rate by AB | 0.00004 | Estimated |
γ 91 | TC cells activation rate by VC | 0.2 | Estimated |
α 96 | TC cells duplication rate due to IL2 | 0.05 | Estimated |
s 96 | duplication stimulation threshold thanks to IL2 | 400 | Estimated |
μ 9 | TC cells natural death rate | ln(2) = 21 | [35] |
γ 02 | APC (APC) activation rate due to TAA (TAA) | 0.07 | Estimated |
μ 0 | APC natural death rate | ln(2)/15 | [36] |