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