δ
_{
D
}

Diffusion coefficient of DCs

8.64×10^{−7} cm^{2} day^{−1}

[65]

δ
_{
T
}

Diffusion coefficient of T cells

8.64×10^{−7} cm^{2} day^{−1}

[65]

δ
_{
M
}

Diffusion coefficient of MDSCs

8.64×10^{−7} cm^{2} day^{−1}

[65]

δ
_{
C
}

Diffusion coefficient of tumor cells

8.64×10^{−7} cm^{2} day^{−1}

[65]

\(\delta _{I_{12}}\)

Diffusion coefficient of IL12

6.05×10^{−2} cm^{2} day^{−1}

Estimated

\(\delta _{I_{2}}\)

Diffusion coefficient of IL2

9.58×10^{−2} cm^{2} day^{−1}

Estimated

\(\delta _{T_{\beta }}\)

Diffusion coefficient of TGF β

8.52×10^{−2} cm^{2} day^{−1}

Estimated

\(\delta _{I_{6}}\)

Diffusion coefficient of IL6

9.03×10^{−2} cm^{2} day^{−1}

Estimated

\(\delta _{I_{10}}\)

Diffusion coefficient of IL10

9.11×10^{−2} cm^{2} day^{−1}

Estimated

δ
_{
A
}

Diffusion coefficient of antiPD1

7.85×10^{−2} cm^{2} day^{−1}

Estimated

δ
_{
B
}

Diffusion coefficient of BRAF/MEKi

3.16×10^{−1} cm^{2} day^{−1}

Estimated

σ
_{0}

Flux rate of T
_{1} and T
_{8} cells at the boundary

1 cm^{−1}

[65]

χ

Chemoattraction coefficient of IL6

10 cm^{5}/g·day

[90, 91]

λ
_{
DC
}

Activation rate of DCs by tumor cells

4 g/cm^{3}·day

[65]

\(\lambda _{T_{1}I_{12}}\)

Activation rate of CD 4^{+} T cells by IL12

18.64 day^{−1}

Estimated

\(\lambda _{T_{1}I_{2}}\)

Activation rate of CD 4^{+} T cells by IL2

0.25 day^{−1}

[65]

\(\lambda _{T_{8}I_{12}}\)

Activation rate of CD 8^{+} T cells by IL12

16.6 day^{−1}

Estimated

\(\lambda _{T_{8}I_{2}}\)

Activation rate of CD 8^{+} T cells by IL2

0.25 day^{−1}

[65]

\(\lambda _{T_{r}T_{\beta }}\)

Activation rate of Tregs by TGF β

0.415 day^{−1}

Estimated

\(\lambda _{T_{r}Q}\)

Activation rate of Tregs by PD1PDL1

0.083 day^{−1}

Estimated

λ
_{
M
}

Activation rate of MDSCs

1.05 day^{−1}

[40]

λ
_{
C
}

Growth rate of cancer cells

0.616 day^{−1}

Estimated

λ
_{0}

Growth rate of cancer cells uninhibited (by immune cells)

0.069 day^{−1}

Estimated

\(\lambda _{I_{12}D}\)

Production rate of IL12 by DCs

2.76×10^{−6} day^{−1}

Estimated

\(\lambda _{I_{12}B}\)

Promotion of IL12 production by BRAF/MEKi

1

Estimated

\(\lambda _{I_{2}T_{1}}\)

Production rate of IL2 by CD 4^{+} T cells

2.82×10^{−8} day^{−1}

Estimated

\(\lambda _{T_{\beta } C}\)

Production rate of TGF β by cancer cells

2.18×10^{−10} day^{−1}

Estimated

\(\lambda _{T_{\beta } T_{r}}\)

Production rate of TGF β by Tregs

5.57×10^{−9} day^{−1}

[75]

\(\lambda _{T_{\beta } M}\)

Production rate of TGF β by MDSCs

2.18×10^{−10} day^{−1}

Estimated

\(\lambda _{I_{6} C}\)

Production rate of IL6 by cancer cells

3.54×10^{−10} day^{−1}

Estimated

\(\lambda _{I_{10} C}\)

Production rate of IL10 by cancer cells

9.10×10^{−10} day^{−1}

Estimated

\(\lambda _{I_{10} M}\)

Production rate of IL10 by MDSCs

1.82×10^{−9} day^{−1}

Estimated

η
_{1}

Killing rate of tumor cells by CD 4^{+} T cells

11.5 day^{−1}·cm^{3}/g

Estimated

η
_{8}

Killing rate of tumor cells by CD 8^{+} T cells

46 day^{−1}·cm^{3}/g

Estimated

μ
_{
PA
}

Blocking rate of PD1 by antiPD1

6.04×10^{6} cm^{3}/g·day

Estimated

μ
_{
BC
}

Absorbtion rate of BRAF/MEKi by cancer cells

6.17×10^{−10} day^{−1}

Estimated

ρ
_{
P
}

Expression of PD1 in T cells

2.49×10^{−7}

Estimated

ρ
_{
L
}

Expression of PDL1 in T cells

5.22×10^{−7}

Estimated

ε
_{
C
}

Expression of PDL1 in tumor cells

0.01

[84]

ε
_{
M
}

Expression of PDL1 in MDSCs

0.005

Estimated

d
_{
D
}

Death rate of DCs

0.1 day^{−1}

[65]

\(d_{T_{1}}\)

Death rate of CD 4^{+} T cells

0.197 day^{−1}

[65]

\(d_{T_{8}}\)

Death rate of CD 8^{+} T cells

0.18 day^{−1}

[65]

\(d_{T_{r}}\)

Death rate of Tregs

0.2 day^{−1}

[75]

d
_{
M
}

Death rate of MDSCs

0.03 day^{−1}

[40]

d
_{
C
}

Death rate of tumor cells

0.17 day^{−1}

[65]

\(d_{I_{12}}\)

Degradation rate of IL12

1.38 day^{−1}

[65]

\(d_{I_{2}}\)

Degradation rate of IL2

2.376 day^{−1}

[65]

\(d_{T_{\beta }}\)

Degradation rate of TGF β

499.066 day^{−1}

Estimated

\(d_{I_{6}}\)

Degradation rate of IL6

4.16 day^{−1}

Estimated

\(d_{I_{10}}\)

Degradation rate of IL10

8.32 day^{−1}

Estimated

d
_{
A
}

Degradation rate of antiPD1

0.046 day^{−1}

[87]

d
_{
B
}

Degradation rate of BRAF/MEKi

1.66day^{−1}

Estimated

D
_{0}

Density of inactive DCs

2×10^{−5} g/cm^{3}

[65]

T
_{10}

Density of naive CD 4^{+} T cells in tumor

4×10^{−4} g/cm^{3}

Estimated

T
_{80}

Density of naive CD 8^{+} T cells in tumor

2×10^{−4} g/cm^{3}

Estimated

C
_{
M
}

Carrying capacity of cancer cells

0.8 g/cm^{3}

[65]

\(\hat T_{1}\)

Density of CD 4^{+} T cells from lymph node

4×10^{−3} g/cm^{3}

Estimated

\(\hat T_{8}\)

Density of CD 8^{+} T cells from lymph node

2×10^{−3} g/cm^{3}

Estimated
