\frac{dx_{1}}{dt} = \left(-1 \cdot \left(k_{1} \cdot x_{1} \cdot k_{9} - k_{5} \cdot x_{2} \cdot k_{10}\right) + -1 \cdot k_{2} \cdot x_{2}^{k_{3}} / \left(k_{4}^{k_{3}} + x_{2}^{k_{3}}\right) \cdot x_{1} \cdot k_{9}\right) / k_{10}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{8} \cdot k_{9} + 1 \cdot \left(k_{1} \cdot x_{1} \cdot k_{9} - k_{5} \cdot x_{2} \cdot k_{10}\right) + -1 \cdot k_{6} \cdot x_{2} \cdot k_{11} + 1 \cdot k_{2} \cdot x_{2}^{k_{3}} / \left(k_{4}^{k_{3}} + x_{2}^{k_{3}}\right) \cdot x_{1} \cdot k_{9}\right) / k_{9}