REGULATION OF β-CATENIN IN THE WNT SIGNALING PATHWAY AND EMT VIA OPTIMAL CONTROL
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In this paper, we present an optimal control strategy to pre- vent the EMT process by downregulating the level of overexpressed β- catenin in the cytoplasm. To do this, we propose a mathematical model that expresses relationship between the Wnt signaling pathway and TGF- β in cancer cells. We also define an optimal control problem considering the side effects that occur simultaneously with the method for controlling the concentration of β-catenin. Finally numerical simulations show that treatment effect is quantitatively changes depending on the concentration of core proteins of the Wnt signaling pathway.
Abstract
In this paper, we present an optimal control strategy to pre- vent the EMT process by downregulating the level of overexpressed β- catenin in the cytoplasm. To do this, we propose a mathematical model that expresses relationship between the Wnt signaling pathway and TGF- β in cancer cells. We also define an optimal control problem considering the side effects that occur simultaneously with the method for controlling the concentration of β-catenin. Finally numerical simulations show that treatment effect is quantitatively changes depending on the concentration of core proteins of the Wnt signaling pathway.
참고문헌 (15)
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