A mathematical model of tumor-immune evasion and siRNA treatment

摘要: In this paper a mathematical model is presented that describes growth, immune escape, and siRNA treatment of tumors. The consists a system nonlinear, ordinary differential equations describing tumor cells immune effectors, as well the immuno-stimulatory and suppressive cytokines IL-2 TGF-$\beta$. TGF-$\beta$ suppresses the immune system by inhibiting activation effector cells and reducing tumor antigen expression. It also stimulates growth by promoting angiogenesis, explaining inclusion an angiogenic switch mechanism for activity. predicts that increasing rate production reasonable values of tumor antigenicity enhances its ability to escape host detection. then extended include treatment which targeting mRNA codes for TGF-$\beta$, thereby reducing presence effect TGF-$\beta$ in cells. Comparison response multiple injections of with behavior untreated tumors demonstrates the effectiveness proposed strategy. A second administration method, continuous infusion, included contrast the ideal outcome treatment. model's results predict conditions under which can be successful in returning an aggressive, producing passive, non-immune evading state.