\frac{dx_{1}}{dt} = \left(1 \cdot k_{42} \cdot 7 / 8 \cdot x_{1} \cdot \left(k_{1} + x_{3} / \left(k_{3} + k_{4} \cdot x_{3}\right)\right) \cdot \left(1 - x_{1} / k_{5}\right) \cdot \left(x_{1} / \left(k_{6} / \left(1 + k_{7} \cdot x_{7}\right)\right) - 1\right) + -1 \cdot k_{42} \cdot k_{8} \cdot \left(1 + k_{9} \cdot x_{4}\right) \cdot x_{1} + -1 \cdot k_{42} \cdot \left(k_{10} + k_{11} \cdot x_{4} + k_{12} \cdot x_{8}\right) \cdot x_{1}\right) / k_{42}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{42} \cdot \left(k_{10} + k_{11} \cdot x_{4} + k_{12} \cdot x_{8}\right) \cdot x_{1} + 1 \cdot k_{42} \cdot k_{2} \cdot x_{2} + -1 \cdot k_{42} \cdot k_{8} \cdot x_{2}\right) / k_{42}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{42} \cdot k_{13} \cdot x_{1} + -1 \cdot k_{42} \cdot k_{14} \cdot x_{3} + -1 \cdot k_{42} \cdot \left(k_{15} \cdot x_{1} + k_{16} \cdot \left(x_{5} + x_{6}\right)\right) \cdot x_{3}\right) / k_{42}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{42} \cdot k_{17} \cdot x_{1} + -1 \cdot k_{42} \cdot k_{18} \cdot x_{4} + -1 \cdot k_{42} \cdot \left(k_{19} \cdot x_{1} + k_{20} \cdot \left(x_{5} + x_{6}\right)\right) \cdot x_{4}\right) / k_{42}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{42} \cdot k_{21} \cdot \left(1 - x_{5} / k_{22}\right) \cdot x_{5} + 1 \cdot k_{42} \cdot x_{3} \cdot x_{5} / \left(k_{23} + k_{24} \cdot x_{3}\right) + 1 \cdot k_{42} \cdot x_{4} \cdot x_{5} / \left(k_{25} + k_{26} \cdot x_{4}\right)\right) / k_{42}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{42} \cdot k_{27} \cdot \left(1 - x_{6} / k_{28}\right) \cdot x_{6} + 1 \cdot k_{42} \cdot x_{3} \cdot x_{6} / \left(k_{29} + k_{30} \cdot x_{3}\right) + 1 \cdot k_{42} \cdot x_{4} \cdot x_{6} / \left(k_{31} + k_{32} \cdot x_{4}\right)\right) / k_{42}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{42} \cdot k_{33} + 1 \cdot k_{42} \cdot k_{34} \cdot x_{5} + -1 \cdot k_{42} \cdot k_{35} \cdot x_{7} + -1 \cdot k_{42} \cdot k_{36} \cdot x_{1} \cdot x_{7}\right) / k_{42}\\
\frac{dx_{8}}{dt} = \left(1 \cdot k_{42} \cdot k_{37} + 1 \cdot k_{42} \cdot k_{38} \cdot x_{6} + -1 \cdot k_{42} \cdot k_{39} \cdot x_{8} + -1 \cdot k_{42} \cdot k_{40} \cdot x_{1} \cdot x_{8}\right) / k_{42}