\frac{dx_{1}}{dt} = k_{1} \cdot k_{4}^{k_{5}} / \left(k_{4}^{k_{5}} + x_{3}^{k_{5}}\right) - k_{2} \cdot x_{1} / \left(k_{3} + x_{1}\right)\\
\frac{dx_{2}}{dt} = k_{7} \cdot x_{1} + k_{11} \cdot x_{3} - \left(k_{8} \cdot x_{2} / \left(k_{9} + x_{2}\right) + k_{10} \cdot x_{2}\right)\\
\frac{dx_{3}}{dt} = k_{10} \cdot x_{2} - k_{11} \cdot x_{3}