Research Article

Optimal Treatment Strategy for a Tumor Model under Immune Suppression

Table 1

Equation terms and parameter descriptions.

StateTermParameterDescription

( ), [5] Tumor growth term
( ) [7]NK cells-induced tumor death
( ) [13] CD8+T cells-induced tumor death
[13] Suppression of CD8+T cell activity due to TGF- and regulatory T cell
( ) [7] Chemotherapy-induced tumor death

( ) [7]Production of NK cell
( ) [7] Turnover of NK cell
= ( ) [7]NK death by exhaustion of tumor killing resources
( ), (IU/L) [7] Stimulatory effect of IL-2 on NK cell
( ) [5] Chemotherapy-induced NK cell death

( ), (IU/L) (IU/L), , [13]Proliferation of CD8+T cells
( ) [7] CD8+T cell death by exhaustion of tumor killing resources
( ) [5] Chemotherapy-induced tumor death

( ), (IU/L) (cell) [13]Proliferation of mature unlicensed dendritic cell
( ), [13] Licensing of dendritic cell upon encounter with CD4+T cell
( ) [13]Turnover of CD8+T cell
( ) [5] Chemotherapy-induced mature unlicensed dendritic cell death

( ) [13]Turnover of CD8+T cell

( ) [13]Proliferation of CD4+T cell
( ), (IU/L) [13]Converting of CD4+T cell to regulatory T cell by TGF-
( ) [13]Turnover of CD4+T cell
[5] Chemotherapy-induced CD4+T cell death

( ), [13]Proliferation of regulatory T cell
( ) [13] Turnover of regulatory T cell
[5] Chemotherapy-induced regulatory T cell death

(IU/ ) [13]Production of TGF- by regulatory T cell
(IU/ ) [13] Production of TGF- by tumor cell
( ) [13]Turnover of TGF-

(IU/ ), (IU/L), 18000 (IU/L) [13]Production of IL-2
( ) [13] Turnover of IL-2

(IU/ ) [13]Production of IL-10 by regulatory T cell
(IU/ ) [13] Production of IL-10 by tumor cell
( ) [13] Turnover of IL-10

( ) [5] Excretion and elimination of medicine toxicity