Table 1 List of parameters in the model
Parameter | Units | Description |
|---|---|---|
kd1 | day−1 | Naïve CD8 + T cell natural death rate constant |
kd2 | day−1 | T effector (in lymph node or tumor) or tumor cell death rate constant due to OXP |
kd3 | day−1 | APC (in lymph node or tumor) natural death rate constant |
kd4 | day−1 | OXP natural decay rate constant |
kd5 | day−1 | T effector (in blood) natural death rate constant |
kd6 | day−1 | T effector (in tumor) natural death rate constant |
kd7 | day−1 | Interferon γ natural death rate constant |
kd8 | day−1 | IL-12 natural death rate constant |
kd9 | day−1 | Regulatory T cell natural death rate constant |
kd10 | day−1 | Tumor cell natural death rate constant |
kd11 | mm3∗day−1 | MHC class I positive tumor cell death rate constant due to T effector (in tumor) lysis |
kp1 | day−1 | T effector (in lymph node) proliferation rate constant due to tumor antigens presented by APC in lymph node |
kp2 | day−1 | T effector (in tumor) proliferation rate constant |
kp3 | ng∗mm−3·day−1 | Regulatory T cell proliferation rate constant due to tumor growth and proliferation of T effector in tumor |
kp4 | day−1 | Tumor cell proliferation rate constant |
a12 | day−1 | Rate constant for T cell flow from lymph node to blood |
a21 | day−1 | Rate constant for T cell flow from blood to lymph node |
a23 | day−1 | Rate constant for T cell flow from blood to tumor |
a32 | day−1 | Rate constant for T cell flow from tumor to blood |
b23 | day−1 | Rate constant for APC flow from blood to tumor |
b31 | day−1 | Rate constant for APC flow from tumor to lymph node |
c1 | cell·mm−3·day−1 | Naïve T cell natural production rate constant |
c2 | day−1 | Naïve T cell to T effector (in lymph node) transfer rate constant |
c21 | day−1 | Rate constant for OXP flow from blood to lymph node |
c23 | day−1 | Rate constant for OXP flow from blood to tumor |
c4 | pg·mm−3·day−1 | Interferon γ secretion constant |
c5 | pg·cell−1·day−1 | IL-12 production rate constant by APC in tumor |
c6 | cells·mm−3·day−1 | Regulatory T cell production rate constant |
c7 | day−1 | MHC class I negative to positive tumor cells transfer rate constant |
α | (cell·mm−3)2 | T effector (in lymph node) saturation constant |
K | cell·mm−3 | Carrying capacity of APC (in blood) |
g1 | cell·mm−3 | APC (in lymph node) saturation constant |
g2 | cell·mm−3 | APC (in lymph node) saturation constant |
g3 | mg·kg−1 | OXP (in lymph node) saturation constant |
g4 | ng∗ml | IL-12 saturation rate constant |
g5 | cell·mm−3 | Regulatory T cell saturation constant |
g6 | mg·kg−1 | OXP (in tumor) saturation constant |
g7 | ng·ml | IL-12 saturation rate constant |
g8 | cell·mm−3 | Regulatory T cell saturation rate constant |
g9 | cell·mm−3 | T effector (in tumor) saturation rate constant |
g10 | ng·ml | IL-12 saturation constant |
g11 | pg·mm−3 | Cellular Interferon γ saturation constant |
g12 | mg·kg−1 | OXP (in tumor) saturation rate constant |
g13 | cell·mm−3 | Regulatory T cell saturation rate constant |
g14 | mg·kg−1 | OXP (in tumor) killing MHC class I positive tumor cells saturation rate constant |
g15 | mg·kg−1 | OXP (in tumor) killing MHC class I negative tumor cells saturation rate constant |
r1 | cell−1·day−1 | Constant in tumor logistic growth |
r2 | day−1 | Growth rate constant of APC (in blood) |