[PDF][PDF] A mathematical model of tumor-immune evasion and siRNA treatment

JC Arciero, TL Jackson… - … Systems Series B, 2004 - pdfs.semanticscholar.org
Discrete and Continuous Dynamical Systems Series B, 2004pdfs.semanticscholar.org
In this paper a mathematical model is presented that describes growth, immune escape, and
siRNA treatment of tumors. The model consists of a system of nonlinear, ordinary differential
equations describing tumor cells and immune effectors, as well as the immuno-stimulatory
and suppressive cytokines IL-2 and TGF-β. TGF-β suppresses the immune system by
inhibiting the activation of effector cells and reducing tumor antigen expression. It also
stimulates tumor growth by promoting angiogenesis, explaining the inclusion of an …
Abstract
In this paper a mathematical model is presented that describes growth, immune escape, and siRNA treatment of tumors. The model consists of a system of nonlinear, ordinary differential equations describing tumor cells and immune effectors, as well as the immuno-stimulatory and suppressive cytokines IL-2 and TGF-β. TGF-β suppresses the immune system by inhibiting the activation of effector cells and reducing tumor antigen expression. It also stimulates tumor growth by promoting angiogenesis, explaining the inclusion of an angiogenic switch mechanism for TGF-β activity. The model predicts that increasing the rate of TGF-β production for reasonable values of tumor antigenicity enhances tumor growth and its ability to escape host detection. The model is then extended to include siRNA treatment which suppresses TGF-β production by targeting the mRNA that codes for TGF-β, thereby reducing the presence and effect of TGF-β in tumor cells. Comparison of tumor response to multiple injections of siRNA with behavior of untreated tumors demonstrates the effectiveness of this proposed treatment strategy. A second administration method, continuous infusion, is included to contrast the ideal outcome of siRNA treatment. The model’s results predict conditions under which siRNA treatment can be successful in returning an aggressive, TGF-β producing tumor to its passive, non-immune evading state.
1. Introduction. While the struggle to find an effective and permanent cure for cancer continues to challenge scientists, much progress has been made in discovering new information and successful treatments to reduce and even clear tumors. Of fundamental importance is the immune system’s apparent failure to combat many types of cancers. Tumors are derived from one or more normal cells that have undergone malignant transformation. The immune response to tumors depends on how antigenic the tumor is. A cell that has undergone significant mutation results in a tumor that is easier to recognize as foreign (ie more antigenic) than one that
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