The Construction of Mathematical Model for the Mechanism of Protein Synthesis Involving mTORC1 from the AMPK Pathway

This study discusses the construction of mathematical models for mechanism protein synthesis involving main regulator mTORC1 gene which is described in singular pathway mTOR AMPK pathway. The genes question include: AMPK, TSC2, Rheb, and S6K. method used this research divided into two stages, namely analysis second formulation models. Pathway performed as a reference describing interactions form kinetic reaction schemes. After interaction scheme created, it then formulated model with independent variable being time. Mathematical ordinary time-dependent differential equations variables [TSC2], [pAMPK], [pTSC2], [Rheb^{GTP}], [Rheb^{GDP}], [mTORC1], [Raptor], [aRaptor], [Deptor], [PRAS40], [mTOR], [amTORC1], [mLST8], [S6K1] [pS6K1].