\frac{dx_{1}}{dt} = 0\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{16} \cdot \left(k_{1} + k_{2} \cdot x_{6} / \left(k_{3} + x_{6}\right)\right) + -1 \cdot k_{16} \cdot k_{4} \cdot x_{2} + -1 \cdot k_{16} \cdot \left(k_{5} \cdot k_{17} \cdot x_{2} - k_{6} \cdot x_{3}\right)\right) / k_{16}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{16} \cdot \left(k_{5} \cdot k_{17} \cdot x_{2} - k_{6} \cdot x_{3}\right) + -1 \cdot k_{16} \cdot k_{7} \cdot x_{3} + -1 \cdot k_{16} \cdot \left(k_{8} \cdot x_{3} \cdot x_{4} - k_{9} \cdot x_{5}\right) + 1 \cdot k_{16} \cdot k_{10} \cdot x_{5}\right) / k_{16}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot k_{16} \cdot \left(k_{8} \cdot x_{3} \cdot x_{4} - k_{9} \cdot x_{5}\right) + 1 \cdot k_{16} \cdot \left(k_{13} + k_{14} \cdot x_{6} / \left(k_{3} + x_{6}\right)\right) + -1 \cdot k_{16} \cdot k_{15} \cdot x_{4}\right) / k_{16}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{16} \cdot \left(k_{8} \cdot x_{3} \cdot x_{4} - k_{9} \cdot x_{5}\right) + -1 \cdot k_{16} \cdot k_{10} \cdot x_{5} + -1 \cdot k_{16} \cdot k_{11} \cdot x_{5}\right) / k_{16}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{16} \cdot k_{10} \cdot x_{5} + -1 \cdot k_{16} \cdot k_{12} \cdot x_{6}\right) / k_{16}