Table 3 Model parameters of interaction

1

No. of initial tumor cells

\(C_n\)

2

Transforming Growth Factor TGF—\(\beta\)

\(\beta\)

3

Pr. of antigen production by CCs

\(p_1\)

Innate IS parameters

4

No. of initial NKs

K

5

No. of initial M\(\upvarphi\)s

M\(_1\)

6

No. of initial Neutrophils

N\(_1\)

7

Pr. of recruiting NKs

\(p_{2}\)

8

Pr. of recruiting M\(\upvarphi\)s

\(p_6\)

9

Pr. of recruiting Neutrophils

\(p_{1,3}\)

10

Pr. of NKs attacking CCs

\(p_{A8}\)

11

Pr. of M\(_1\) cells attacking CCs

\(p_{A6}\)

12

Pr. of N\(_1\) cells attacking CCs

\(p_{A3}\)

13

Pr. of M\(\upvarphi\)s becoming M\(_2\)

\(p_{A7}\)

14

Pr. of Neutrophils becoming N\(_2\)

\(p_{1,4}\)

15

Pr. of M\(_2\) cells promoting tumor cells

\(1 - p_{A6}\)

16

Pr. of N\(_2\) cells promoting tumor cells

\(1 - p_{A3}\)

17–21

Max. age of M\(_1\), M\(_2\), N\(_1\), N\(_2\), and NK cells

\(A {_{\mathrm{M}_1}}, A {_{\mathrm{M}_2}}, A {_{\mathrm{N}_1}}, A {_{\mathrm{N}_2}}, A {_{\mathrm{K}}}\)

Adaptive IS parameters

22

No. of initial CD8+T cells

T

23

No. of initial CD4+T cells

T\(_\mathrm{_h}\)

24

No. of initial T\(_{\mathrm{reg}}\) cells

T\(_{\mathrm{reg}}\)

25

Pr. of recruiting CD4+T cells

\(p_{8}\)

26

Pr. of recruiting CD8+T cells

\(p_{7}\)

27

Pr. of recruiting T\(_{\mathrm{reg}}\) cells

\(p_{9}\)

28

Pr. of T\(_{\mathrm{reg}}\) strengthening T cells

\(u_{1}\)

29

Pr. of T\(_{\mathrm{reg}}\) strengthening T\(_\mathrm{h}\) cells

\(u_{2}\)

30

Pr. of T\(_\mathrm{h}\) strengthening T cells

\(u_{4}\)

31

Pr. of CD8+T cells attacking CCs

\(u_{3}\)

32–34

Max. age of CD8+T, CD4+T, and T\(_{\mathrm{reg}}\) cells

\(A_\mathrm{T}, A{_{\mathrm{T}_h}}, A{_{\mathrm{T}_{reg}}}\)