\frac{dx_{1}}{dt} = \left(1 \cdot k_{50} \cdot k_{24} + 1 \cdot k_{50} \cdot k_{26} \cdot x_{1} \cdot \left(1 - x_{1} / k_{27}\right) \cdot x_{1}^{k_{28}} / \left(x_{1}^{k_{28}} + k_{29}^{k_{28}}\right) + 1 \cdot k_{50} \cdot x_{8} \cdot k_{31} \cdot x_{6} / \left(x_{6} + k_{30}\right) + -1 \cdot k_{50} \cdot k_{35} \cdot x_{1} \cdot x_{6} + -1 \cdot k_{50} \cdot k_{32} \cdot x_{1} \cdot x_{6}^{k_{33}} / \left(x_{6}^{k_{33}} + k_{34}^{k_{33}}\right) + -1 \cdot k_{50} \cdot k_{25} \cdot x_{1}\right) / k_{50}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{50} \cdot k_{37} + 1 \cdot k_{50} \cdot k_{38} \cdot x_{2} \cdot \left(1 - x_{2} / k_{39}\right) \cdot x_{2} / \left(x_{2} + k_{40}\right) + -1 \cdot k_{50} \cdot k_{43} \cdot x_{2} \cdot x_{6} / \left(x_{6} + k_{44}\right) \cdot x_{1}^{k_{41}} / \left(x_{1}^{k_{41}} + k_{42}^{k_{41}}\right) + -1 \cdot k_{50} \cdot k_{36} \cdot x_{2}\right) / k_{50}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{50} \cdot k_{1} + 1 \cdot k_{50} \cdot k_{8} \cdot x_{3} \cdot \left(1 - x_{3} / \left(k_{9} - k_{9} \cdot k_{10}\right)\right) + 1 \cdot k_{50} \cdot x_{9} \cdot k_{11} \cdot x_{6} / \left(x_{6} + k_{12}\right) + 1 \cdot k_{50} \cdot k_{15} \cdot x_{4} \cdot x_{1} / \left(x_{1} + k_{16}\right) + -1 \cdot k_{50} \cdot k_{5} \cdot x_{3} \cdot x_{6} / \left(x_{6} + k_{6}\right) + -1 \cdot k_{50} \cdot k_{3} \cdot x_{3} \cdot x_{6} / \left(x_{6} + k_{4}\right) + -1 \cdot k_{50} \cdot k_{7} \cdot x_{3} \cdot x_{6} + -1 \cdot k_{50} \cdot k_{2} \cdot x_{3}\right) / k_{50}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot k_{50} \cdot k_{15} \cdot x_{4} \cdot x_{1} / \left(x_{1} + k_{16}\right) + 1 \cdot k_{50} \cdot k_{3} \cdot x_{3} \cdot x_{6} / \left(x_{6} + k_{4}\right) + -1 \cdot k_{50} \cdot k_{13} \cdot x_{4} + -1 \cdot k_{50} \cdot k_{14} \cdot x_{4} \cdot x_{6}\right) / k_{50}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{50} \cdot k_{5} \cdot x_{3} \cdot x_{6} / \left(x_{6} + k_{6}\right) + -1 \cdot k_{50} \cdot k_{18} \cdot x_{5} \cdot x_{7}^{k_{19}} / \left(x_{7}^{k_{19}} + k_{17} \cdot x_{5}^{k_{19}}\right) + -1 \cdot k_{50} \cdot \left(1 - k_{22} \cdot x_{7} / \left(x_{7} + k_{17} + x_{5}\right)\right) \cdot k_{20} \cdot \left(x_{1} + x_{2} / x_{5}\right) / \left(x_{1} + x_{2} / x_{5} + k_{21}\right) + -1 \cdot k_{50} \cdot k_{23} \cdot x_{5}\right) / k_{50}\\
\frac{dx_{6}}{dt} = \left(-1 \cdot k_{50} \cdot k_{5} \cdot x_{3} \cdot x_{6} / \left(x_{6} + k_{6}\right) + -1 \cdot k_{50} \cdot k_{7} \cdot x_{3} \cdot x_{6} + -1 \cdot k_{50} \cdot k_{35} \cdot x_{1} \cdot x_{6} + -1 \cdot k_{50} \cdot k_{14} \cdot x_{4} \cdot x_{6} + 1 \cdot k_{50} \cdot k_{18} \cdot x_{5} \cdot x_{7}^{k_{19}} / \left(x_{7}^{k_{19}} + k_{17} \cdot x_{5}^{k_{19}}\right) + 1 \cdot k_{50} \cdot k_{46} \cdot x_{6} \cdot \left(1 - x_{6} / k_{47}\right) + -1 \cdot k_{50} \cdot k_{45} \cdot x_{6}\right) / k_{50}\\
\frac{dx_{7}}{dt} = \left(-1 \cdot k_{50} \cdot k_{18} \cdot x_{5} \cdot x_{7}^{k_{19}} / \left(x_{7}^{k_{19}} + k_{17} \cdot x_{5}^{k_{19}}\right) + -1 \cdot k_{50} \cdot k_{48} \cdot x_{7} + 1 \cdot k_{50} \cdot k_{49} \cdot x_{7} \cdot \left(1 - x_{7} / \left(x_{7} + k_{17} \cdot x_{5}\right)\right) + 1 \cdot k_{50} \cdot k_{5} \cdot x_{3} \cdot x_{7} / \left(x_{7} + k_{4}\right) + -1 \cdot k_{50} \cdot k_{20} \cdot \left(x_{1} + x_{2} / x_{5}\right) / \left(x_{1} + x_{2} / x_{5} + k_{21}\right)\right) / k_{50}\\
\frac{dx_{8}}{dt} = -1 \cdot k_{50} \cdot x_{8} \cdot k_{31} \cdot x_{6} / \left(x_{6} + k_{30}\right) / k_{50}\\
\frac{dx_{9}}{dt} = -1 \cdot k_{50} \cdot x_{9} \cdot k_{11} \cdot x_{6} / \left(x_{6} + k_{12}\right) / k_{50}