\frac{dx_{1}}{dt} = \left(1 \cdot k_{14} \cdot k_{1} + 1 \cdot k_{14} \cdot k_{2} \cdot k_{3} + -1 \cdot k_{14} \cdot k_{4} \cdot x_{1}^{k_{5}} / \left(k_{6}^{k_{5}} + x_{1}^{k_{5}}\right) + 1 \cdot k_{15} \cdot k_{7} \cdot x_{2}^{k_{8}} \cdot x_{1}^{k_{13}} / \left(\left(k_{9}^{k_{8}} + x_{2}^{k_{8}}\right) \cdot \left(k_{10}^{k_{13}} + x_{1}^{k_{13}}\right)\right) + 1 \cdot k_{15} \cdot k_{11} \cdot x_{2} + -1 \cdot k_{14} \cdot k_{12} \cdot x_{1}\right) / k_{14}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{14} \cdot k_{4} \cdot x_{1}^{k_{5}} / \left(k_{6}^{k_{5}} + x_{1}^{k_{5}}\right) + -1 \cdot k_{15} \cdot k_{7} \cdot x_{2}^{k_{8}} \cdot x_{1}^{k_{13}} / \left(\left(k_{9}^{k_{8}} + x_{2}^{k_{8}}\right) \cdot \left(k_{10}^{k_{13}} + x_{1}^{k_{13}}\right)\right) + -1 \cdot k_{15} \cdot k_{11} \cdot x_{2}\right) / k_{15}