\frac{dx_{1}}{dt} = 0\\
\frac{dx_{2}}{dt} = 0\\
\frac{dx_{3}}{dt} = 0\\
\frac{dx_{4}}{dt} = 0\\
\frac{dx_{5}}{dt} = 0\\
\frac{dx_{6}}{dt} = 0\\
\frac{dx_{7}}{dt} = 0\\
\frac{dx_{8}}{dt} = \left(1 \cdot \left(k_{1} + k_{2} \cdot k_{40} + k_{3} \cdot x_{11} + k_{4} \cdot x_{11} \cdot x_{10}\right) / \left(1 + k_{1} / k_{5} + k_{6} \cdot k_{40} + k_{7} \cdot x_{11} + k_{8} \cdot x_{11} \cdot x_{10}\right) + -1 \cdot k_{9} \cdot x_{8} + -1 \cdot \left(k_{17} \cdot x_{8} \cdot x_{9} - k_{18} \cdot x_{11}\right)\right) / k_{33}\\
\frac{dx_{9}}{dt} = \left(-1 \cdot \left(k_{17} \cdot x_{8} \cdot x_{9} - k_{18} \cdot x_{11}\right) + 1 \cdot \left(k_{20} + k_{21} \cdot k_{40} + k_{22} \cdot x_{11} + k_{23} \cdot x_{11} \cdot x_{10}\right) / \left(1 + k_{20} / k_{5} + k_{24} \cdot k_{40} + k_{25} \cdot x_{11} + k_{26} \cdot x_{11} \cdot x_{10}\right) + -1 \cdot k_{27} \cdot x_{9}\right) / k_{33}\\
\frac{dx_{10}}{dt} = \left(1 \cdot \left(k_{10} + k_{11} \cdot x_{11} + k_{12} \cdot x_{11} \cdot x_{10}\right) / \left(1 + k_{10} / k_{5} + k_{13} \cdot x_{11} + k_{14} \cdot x_{11} \cdot x_{10} + k_{15} \cdot k_{39}\right) + -1 \cdot k_{16} \cdot x_{10}\right) / k_{33}\\
\frac{dx_{11}}{dt} = \left(1 \cdot \left(k_{17} \cdot x_{8} \cdot x_{9} - k_{18} \cdot x_{11}\right) + -1 \cdot k_{19} \cdot x_{11}\right) / k_{33}\\
\frac{dx_{12}}{dt} = \left(1 \cdot \left(k_{28} \cdot x_{11} + k_{29}\right) / \left(1 + k_{29} / k_{13} + k_{30} \cdot x_{11} + k_{31} \cdot x_{11} \cdot x_{10}\right) + -1 \cdot k_{32} \cdot x_{12}\right) / k_{33}