\frac{dx_{1}}{dt} = -1 \cdot k_{5} \cdot x_{1} / k_{6}\\
\frac{dx_{2}}{dt} = \left(-1 \cdot k_{7} \cdot x_{1} \cdot x_{2}^{k_{8}} / \left(k_{9}^{k_{8}} + x_{2}^{k_{8}}\right) + 1 \cdot x_{21} \cdot k_{15} \cdot x_{3}^{k_{16}} / \left(k_{17}^{k_{16}} + x_{3}^{k_{16}}\right) + -1 \cdot x_{9} \cdot k_{18} \cdot x_{2}^{k_{19}} / \left(k_{20}^{k_{19}} + x_{2}^{k_{19}}\right)\right) / k_{6}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{7} \cdot x_{1} \cdot x_{2}^{k_{8}} / \left(k_{9}^{k_{8}} + x_{2}^{k_{8}}\right) + -1 \cdot x_{21} \cdot k_{15} \cdot x_{3}^{k_{16}} / \left(k_{17}^{k_{16}} + x_{3}^{k_{16}}\right) + 1 \cdot x_{9} \cdot k_{18} \cdot x_{2}^{k_{19}} / \left(k_{20}^{k_{19}} + x_{2}^{k_{19}}\right)\right) / k_{6}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot x_{5} \cdot k_{37} \cdot x_{4}^{k_{38}} / \left(k_{39} + x_{4}^{k_{38}}\right) + 1 \cdot x_{12} \cdot k_{43} \cdot x_{16}^{k_{44}} / \left(k_{45}^{k_{44}} + x_{16}^{k_{44}}\right) + 1 \cdot x_{19} \cdot k_{52} \cdot x_{16}^{k_{53}} / \left(k_{54}^{k_{53}} + x_{16}^{k_{53}}\right)\right) / k_{6}\\
\frac{dx_{5}}{dt} = \left(1 \cdot x_{3} \cdot k_{10} \cdot x_{15}^{k_{11}} / \left(k_{12}^{k_{11}} + x_{15}^{k_{11}}\right) + -1 \cdot x_{18} \cdot k_{46} \cdot x_{5}^{k_{47}} / \left(k_{48}^{k_{47}} + x_{5}^{k_{47}}\right)\right) / k_{6}\\
\frac{dx_{6}}{dt} = \left(1 \cdot x_{16} \cdot k_{40} \cdot x_{17}^{k_{41}} / \left(k_{42}^{k_{41}} + x_{17}^{k_{41}}\right) + -1 \cdot x_{14} \cdot k_{49} \cdot x_{6}^{k_{50}} / \left(k_{51}^{k_{50}} + x_{6}^{k_{50}}\right)\right) / k_{6}\\
\frac{dx_{7}}{dt} = \left(-1 \cdot x_{6} \cdot k_{13} \cdot x_{7} / \left(k_{14} + x_{7}\right) + 1 \cdot x_{14} \cdot k_{31} \cdot x_{8}^{k_{32}} / \left(k_{33}^{k_{32}} + x_{8}^{k_{32}}\right)\right) / k_{6}\\
\frac{dx_{8}}{dt} = \left(1 \cdot x_{6} \cdot k_{13} \cdot x_{7} / \left(k_{14} + x_{7}\right) + -1 \cdot x_{14} \cdot k_{31} \cdot x_{8}^{k_{32}} / \left(k_{33}^{k_{32}} + x_{8}^{k_{32}}\right)\right) / k_{6}\\
\frac{dx_{9}}{dt} = -1 \cdot k_{1} \cdot x_{9} / k_{6}\\
\frac{dx_{10}}{dt} = \left(-1 \cdot x_{9} \cdot k_{21} \cdot x_{10}^{k_{22}} / \left(k_{23}^{k_{22}} + x_{10}^{k_{22}}\right) + -1 \cdot x_{1} \cdot k_{24} \cdot x_{1} \cdot x_{10}^{k_{25}} / \left(k_{26}^{k_{25}} + x_{10}^{k_{25}}\right) + -1 \cdot x_{5} \cdot k_{34} \cdot x_{10}^{k_{35}} / \left(k_{36}^{k_{35}} + x_{10}^{k_{35}}\right) + 1 \cdot k_{2} \cdot x_{11}\right) / k_{6}\\
\frac{dx_{11}}{dt} = \left(1 \cdot x_{9} \cdot k_{21} \cdot x_{10}^{k_{22}} / \left(k_{23}^{k_{22}} + x_{10}^{k_{22}}\right) + 1 \cdot x_{1} \cdot k_{24} \cdot x_{1} \cdot x_{10}^{k_{25}} / \left(k_{26}^{k_{25}} + x_{10}^{k_{25}}\right) + 1 \cdot x_{5} \cdot k_{34} \cdot x_{10}^{k_{35}} / \left(k_{36}^{k_{35}} + x_{10}^{k_{35}}\right) + -1 \cdot k_{2} \cdot x_{11}\right) / k_{6}\\
\frac{dx_{12}}{dt} = \left(1 \cdot x_{11} \cdot k_{27} \cdot x_{13}^{k_{28}} / \left(k_{29}^{k_{28}} + x_{13}^{k_{28}}\right) + -1 \cdot k_{30} \cdot x_{12}\right) / k_{6}\\
\frac{dx_{13}}{dt} = \left(-1 \cdot x_{11} \cdot k_{27} \cdot x_{13}^{k_{28}} / \left(k_{29}^{k_{28}} + x_{13}^{k_{28}}\right) + 1 \cdot k_{30} \cdot x_{12}\right) / k_{6}\\
\frac{dx_{14}}{dt} = 0 / k_{6}\\
\frac{dx_{15}}{dt} = \left(-1 \cdot x_{3} \cdot k_{10} \cdot x_{15}^{k_{11}} / \left(k_{12}^{k_{11}} + x_{15}^{k_{11}}\right) + 1 \cdot x_{18} \cdot k_{46} \cdot x_{5}^{k_{47}} / \left(k_{48}^{k_{47}} + x_{5}^{k_{47}}\right)\right) / k_{6}\\
\frac{dx_{16}}{dt} = \left(1 \cdot x_{5} \cdot k_{37} \cdot x_{4}^{k_{38}} / \left(k_{39} + x_{4}^{k_{38}}\right) + -1 \cdot x_{12} \cdot k_{43} \cdot x_{16}^{k_{44}} / \left(k_{45}^{k_{44}} + x_{16}^{k_{44}}\right) + -1 \cdot x_{19} \cdot k_{52} \cdot x_{16}^{k_{53}} / \left(k_{54}^{k_{53}} + x_{16}^{k_{53}}\right)\right) / k_{6}\\
\frac{dx_{17}}{dt} = \left(-1 \cdot x_{16} \cdot k_{40} \cdot x_{17}^{k_{41}} / \left(k_{42}^{k_{41}} + x_{17}^{k_{41}}\right) + 1 \cdot x_{14} \cdot k_{49} \cdot x_{6}^{k_{50}} / \left(k_{51}^{k_{50}} + x_{6}^{k_{50}}\right)\right) / k_{6}\\
\frac{dx_{18}}{dt} = 0 / k_{6}\\
\frac{dx_{19}}{dt} = 0 / k_{6}\\
\frac{dx_{20}}{dt} = \left(-1 \cdot x_{8} \cdot k_{3} \cdot x_{20} / \left(k_{4} + x_{20}\right) + 1 \cdot k_{55} \cdot x_{21}\right) / k_{6}\\
\frac{dx_{21}}{dt} = \left(1 \cdot x_{8} \cdot k_{3} \cdot x_{20} / \left(k_{4} + x_{20}\right) + -1 \cdot k_{55} \cdot x_{21}\right) / k_{6}