\frac{dx_{1}}{dt} = \left(-1 \cdot k_{23} \cdot k_{1} \cdot x_{1} + 1 \cdot k_{23} \cdot k_{2} \cdot x_{6}^{3 / 2}\right) / k_{23}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{23} \cdot k_{3} \cdot x_{2} + -1 \cdot k_{23} \cdot k_{3} \cdot x_{2}^{2} / \left(\left(k_{4} \cdot x_{1} + k_{5}\right) / \left(x_{1} + k_{6}\right)\right)\right) / k_{23}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{23} \cdot k_{9} \cdot x_{3} + -1 \cdot k_{23} \cdot k_{9} \cdot x_{3}^{2} / \left(k_{11} + k_{10} \cdot x_{4} / \left(1 + x_{4} / k_{12}\right)\right)\right) / k_{23}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{23} \cdot k_{7} \cdot x_{1} + -1 \cdot k_{23} \cdot k_{8} \cdot x_{4}\right) / k_{23}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{23} \cdot k_{13} \cdot x_{1} / \left(k_{14} + x_{1}\right) + -1 \cdot k_{23} \cdot k_{15} \cdot x_{5}\right) / k_{23}\\
\frac{dx_{6}}{dt} = \left(-1 \cdot k_{23} \cdot k_{20} \cdot x_{5} \cdot x_{2} \cdot x_{6} + -1 \cdot k_{23} \cdot k_{21} \cdot x_{5} \cdot x_{3} \cdot x_{6} + 1 \cdot k_{23} \cdot k_{18} + 1 \cdot k_{23} \cdot x_{6}^{\left(-1\right) / 2} \cdot x_{6}^{3 / 2} \cdot 10^{-6}\right) / k_{23}