\frac{dx_{1}}{dt} = \left(1 \cdot k_{14} \cdot k_{5} / \left(1 + k_{7} \cdot x_{2}^{k_{9}}\right) \cdot x_{1} \cdot \left(2 \cdot k_{6} / \left(1 + k_{8} \cdot x_{2}^{k_{10}}\right) - 1\right) + 1 \cdot k_{14} \cdot k_{11} / \left(1 + k_{12} \cdot x_{1}^{k_{13}}\right) \cdot x_{2}\right) / k_{14}\\
\frac{dx_{2}}{dt} = \left(-1 \cdot k_{14} \cdot k_{11} / \left(1 + k_{12} \cdot x_{1}^{k_{13}}\right) \cdot x_{2} + 1 \cdot k_{14} \cdot 2 \cdot k_{5} / \left(1 + k_{7} \cdot x_{2}^{k_{9}}\right) \cdot x_{1} \cdot \left(1 - k_{6} / \left(1 + k_{8} \cdot x_{2}^{k_{10}}\right)\right) + -1 \cdot k_{14} \cdot k_{1} \cdot x_{2}\right) / k_{14}