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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]