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