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Table 1 Parameter values determined by calibrating model against experimental data

From: CD8 + T cell response to adenovirus vaccination and subsequent suppression of tumor growth: modeling, simulation and analysis

Parameter Units Description Calibrated values
k d1 d a y −1 Naïve CD8 + T cell natural death rate constant 3.809×10−3
k d2 d a y −1 Adenovirus natural death rate constant 0.364
k d3 d a y −1 Blood T effector natural death rate constant 1.80×10−2
k d4 d a y −1 Tumor cell natural death rate constant 2.08×10−6
k d5 d a y −1 Tumor T effector natural death rate constant 0.800
k d6 d a y −1 Interferon γ natural degradation rate constant 0.082
k d7 d a y −1 Tumor Necrosis Factor α natural degradation rate constant 3.10×10−6
k p1 d a y −1 Lymph node T effector proliferation rate constant due to adenovirus vaccination 12.017
k p2 d a y −1 Tumor cell proliferation rate constant 0.5
k p3 d a y −1 Tumor T effector proliferation rate constant due to tumor growth 5.73×10−6
a 12 d a y −1 Rate constant for T cell flow from lymph node to blood 5.706
a 21 d a y −1 Rate constant for T cell flow from blood to lymph node 3.540×10−3
a 23 d a y −1 Rate constant for T cell flow from blood to tumor 5.546×10−2
a 32 d a y −1 Rate constant for T cell flow from tumor to blood 6.89×10−18
c 1 c e l l·m m −3·d a y −1 Naïve T cell natural production rate 2.719×10−4
c 2 d a y −1 T cell to lymph node T effector transfer rate constant 0.5263
c 3 d a y −1 MHC class I negative to positive tumor cells transfer rate constant 0.8759
c 4 m m 3·d a y −1 MHCI positive tumor death rate due to T effector (in tumor) lysis 2.49×10−13
α (c e l l·m m −3)2 Lymph node T effector saturation constant 6.520×1010
k 1 m o l e s·m m −3 Interferon γ saturation constant 3.69×10−9
k 2 m o l e s·m m −3 Tumor Necrosis Factor α saturation constant 6.924×106
k 3 m o l e s·d a y −1·c e l l −1 Constitutive Tumor Necrosis Factor α production rate constant 2.634×10−4
k c1 m o l e s·d a y −1·c e l l −1 Cellular Interferon γ production rate constant 7.295×108
k c2 m o l e s·d a y −1·c e l l −1 Autocrine Tumor Necrosis Factor α production rate constant 9.939×108
γ R L U·m m −3 Adenovirus saturation constant 2.905×103
β 1 AU Constant of proportionality in calculating T C R α gene expression 8.79×10−6
r 2 c e l l −1·d a y −1 Constant in tumor logistic growth (or MHC class I negative tumor growth rate divided by the carrying capacity K, i.e., \(\frac {k_{p2}-k_{d4}}{K}\)) 3.34×10−10