\frac{dx_{1}}{dt} = 0\\
\frac{dx_{2}}{dt} = \left(-1 \cdot k_{1} \cdot k_{4} \cdot x_{2} \cdot k_{2} / \left(x_{2} + k_{5} \cdot \left(1 + x_{3} / k_{6} + x_{10} / k_{7} + x_{14} / k_{8} + x_{8} / k_{9} + k_{81} / k_{10}\right)\right) + 1 \cdot k_{1} \cdot k_{36} \cdot x_{17} \cdot k_{2} \cdot x_{4} / \left(\left(x_{17} + k_{37} \cdot \left(1 + x_{3} / k_{38} + x_{2} / k_{39} + x_{8} / k_{40}\right)\right) \cdot \left(x_{4} \cdot \left(1 + x_{23} / k_{41}\right) + k_{42} \cdot \left(1 + x_{23} / k_{43}\right)\right)\right)\right) / k_{2}\\
\frac{dx_{3}}{dt} = \left(2 \cdot k_{1} \cdot k_{4} \cdot x_{2} \cdot k_{2} / \left(x_{2} + k_{5} \cdot \left(1 + x_{3} / k_{6} + x_{10} / k_{7} + x_{14} / k_{8} + x_{8} / k_{9} + k_{81} / k_{10}\right)\right) + -1 \cdot k_{1} \cdot k_{11} \cdot k_{2} \cdot \left(x_{3} \cdot x_{4} - x_{5} \cdot x_{23} / k_{12}\right) + -1 \cdot k_{67} \cdot k_{68} \cdot x_{3} \cdot k_{2} / \left(k_{69} \cdot \left(1 + \left(1 + k_{70} / k_{82}\right) \cdot \left(x_{8} / k_{71} + x_{3} / k_{69} + x_{9} / k_{72} + x_{7} / k_{73}\right)\right)\right)\right) / k_{2}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot k_{1} \cdot k_{11} \cdot k_{2} \cdot \left(x_{3} \cdot x_{4} - x_{5} \cdot x_{23} / k_{12}\right) + -1 \cdot k_{1} \cdot k_{36} \cdot x_{17} \cdot k_{2} \cdot x_{4} / \left(\left(x_{17} + k_{37} \cdot \left(1 + x_{3} / k_{38} + x_{2} / k_{39} + x_{8} / k_{40}\right)\right) \cdot \left(x_{4} \cdot \left(1 + x_{23} / k_{41}\right) + k_{42} \cdot \left(1 + x_{23} / k_{43}\right)\right)\right) + 1 \cdot k_{1} \cdot k_{48} \cdot x_{23} \cdot x_{8} \cdot k_{2} / \left(\left(x_{23} + k_{49}\right) \cdot \left(x_{8} + k_{50}\right)\right) + -1 \cdot k_{51} \cdot x_{26} \cdot x_{4} \cdot k_{2} / \left(\left(x_{26} + k_{52}\right) \cdot \left(1 + x_{23} / k_{53}\right) \cdot \left(x_{4} + k_{54}\right) + k_{54} \cdot x_{8} / \left(k_{55} \cdot x_{3}\right) + k_{56} \cdot x_{11} + k_{57} \cdot x_{10}\right)\right) / k_{2}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{1} \cdot k_{11} \cdot k_{2} \cdot \left(x_{3} \cdot x_{4} - x_{5} \cdot x_{23} / k_{12}\right) + -1 \cdot k_{1} \cdot k_{13} \cdot k_{2} \cdot \left(x_{5} \cdot k_{81} \cdot k_{87} - k_{84} \cdot x_{7} \cdot x_{8} / k_{14}\right)\right) / k_{2}\\
\frac{dx_{6}}{dt} = 0\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{1} \cdot k_{13} \cdot k_{2} \cdot \left(x_{5} \cdot k_{81} \cdot k_{87} - k_{84} \cdot x_{7} \cdot x_{8} / k_{14}\right) + -1 \cdot k_{2} \cdot k_{15} \cdot \left(x_{7} - x_{9} / k_{16}\right) + -1 \cdot k_{17} \cdot k_{2} \cdot \left(x_{9} \cdot x_{7} - x_{10} / k_{18}\right) + -1 \cdot k_{2} \cdot k_{23} \cdot \left(x_{11} \cdot x_{7} - x_{12} \cdot x_{13} / k_{24}\right) + -1 \cdot k_{2} \cdot k_{30} \cdot \left(x_{7} \cdot x_{15} - x_{13} \cdot x_{16} / k_{31}\right) + -1 \cdot k_{74} \cdot x_{7} \cdot k_{2} / \left(k_{75} \cdot \left(1 + \left(1 + k_{76} / k_{82}\right) \cdot \left(x_{8} / k_{77} + x_{3} / k_{78} + x_{9} / k_{79} + x_{7} / k_{75}\right)\right)\right)\right) / k_{2}\\
\frac{dx_{8}}{dt} = \left(1 \cdot k_{1} \cdot k_{13} \cdot k_{2} \cdot \left(x_{5} \cdot k_{81} \cdot k_{87} - k_{84} \cdot x_{7} \cdot x_{8} / k_{14}\right) + 1 \cdot k_{1} \cdot k_{19} \cdot x_{10} \cdot k_{2} / \left(x_{10} + k_{20} \cdot \left(1 + x_{11} / k_{21} + x_{8} / k_{22}\right)\right) + 1 \cdot k_{1} \cdot k_{27} \cdot x_{14} \cdot k_{2} / \left(x_{14} + k_{28} \cdot \left(1 + x_{8} / k_{29}\right)\right) + -1 \cdot k_{1} \cdot k_{48} \cdot x_{23} \cdot x_{8} \cdot k_{2} / \left(\left(x_{23} + k_{49}\right) \cdot \left(x_{8} + k_{50}\right)\right) + 2 \cdot k_{51} \cdot x_{26} \cdot x_{4} \cdot k_{2} / \left(\left(x_{26} + k_{52}\right) \cdot \left(1 + x_{23} / k_{53}\right) \cdot \left(x_{4} + k_{54}\right) + k_{54} \cdot x_{8} / \left(k_{55} \cdot x_{3}\right) + k_{56} \cdot x_{11} + k_{57} \cdot x_{10}\right) + -1 \cdot k_{58} \cdot x_{8} \cdot k_{2} / \left(x_{8} + k_{59} \cdot \left(1 + x_{26} / k_{60}\right)\right) + 1 \cdot k_{61} \cdot x_{9} \cdot k_{2} / \left(k_{62} \cdot \left(1 + \left(1 + k_{63} / k_{82}\right) \cdot \left(x_{8} / k_{64} + x_{3} / k_{65} + x_{9} / k_{62} + x_{7} / k_{66}\right)\right)\right) + 1 \cdot k_{67} \cdot k_{68} \cdot x_{3} \cdot k_{2} / \left(k_{69} \cdot \left(1 + \left(1 + k_{70} / k_{82}\right) \cdot \left(x_{8} / k_{71} + x_{3} / k_{69} + x_{9} / k_{72} + x_{7} / k_{73}\right)\right)\right) + 1 \cdot k_{74} \cdot x_{7} \cdot k_{2} / \left(k_{75} \cdot \left(1 + \left(1 + k_{76} / k_{82}\right) \cdot \left(x_{8} / k_{77} + x_{3} / k_{78} + x_{9} / k_{79} + x_{7} / k_{75}\right)\right)\right)\right) / k_{2}\\
\frac{dx_{9}}{dt} = \left(1 \cdot k_{2} \cdot k_{15} \cdot \left(x_{7} - x_{9} / k_{16}\right) + -1 \cdot k_{17} \cdot k_{2} \cdot \left(x_{9} \cdot x_{7} - x_{10} / k_{18}\right) + -1 \cdot k_{2} \cdot k_{25} \cdot \left(x_{12} \cdot x_{9} - x_{14} / k_{26}\right) + -1 \cdot k_{61} \cdot x_{9} \cdot k_{2} / \left(k_{62} \cdot \left(1 + \left(1 + k_{63} / k_{82}\right) \cdot \left(x_{8} / k_{64} + x_{3} / k_{65} + x_{9} / k_{62} + x_{7} / k_{66}\right)\right)\right)\right) / k_{2}\\
\frac{dx_{10}}{dt} = \left(1 \cdot k_{17} \cdot k_{2} \cdot \left(x_{9} \cdot x_{7} - x_{10} / k_{18}\right) + -1 \cdot k_{1} \cdot k_{19} \cdot x_{10} \cdot k_{2} / \left(x_{10} + k_{20} \cdot \left(1 + x_{11} / k_{21} + x_{8} / k_{22}\right)\right)\right) / k_{2}\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{1} \cdot k_{19} \cdot x_{10} \cdot k_{2} / \left(x_{10} + k_{20} \cdot \left(1 + x_{11} / k_{21} + x_{8} / k_{22}\right)\right) + -1 \cdot k_{2} \cdot k_{23} \cdot \left(x_{11} \cdot x_{7} - x_{12} \cdot x_{13} / k_{24}\right) + -1 \cdot k_{44} \cdot k_{2} \cdot \left(x_{11} - x_{20} / k_{45}\right)\right) / k_{2}\\
\frac{dx_{12}}{dt} = \left(1 \cdot k_{2} \cdot k_{23} \cdot \left(x_{11} \cdot x_{7} - x_{12} \cdot x_{13} / k_{24}\right) + -1 \cdot k_{2} \cdot k_{25} \cdot \left(x_{12} \cdot x_{9} - x_{14} / k_{26}\right)\right) / k_{2}\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{2} \cdot k_{23} \cdot \left(x_{11} \cdot x_{7} - x_{12} \cdot x_{13} / k_{24}\right) + 1 \cdot k_{2} \cdot k_{30} \cdot \left(x_{7} \cdot x_{15} - x_{13} \cdot x_{16} / k_{31}\right) + -1 \cdot k_{2} \cdot k_{34} \cdot \left(x_{13} - x_{17} / k_{35}\right)\right) / k_{2}\\
\frac{dx_{14}}{dt} = \left(1 \cdot k_{2} \cdot k_{25} \cdot \left(x_{12} \cdot x_{9} - x_{14} / k_{26}\right) + -1 \cdot k_{1} \cdot k_{27} \cdot x_{14} \cdot k_{2} / \left(x_{14} + k_{28} \cdot \left(1 + x_{8} / k_{29}\right)\right)\right) / k_{2}\\
\frac{dx_{15}}{dt} = \left(1 \cdot k_{1} \cdot k_{27} \cdot x_{14} \cdot k_{2} / \left(x_{14} + k_{28} \cdot \left(1 + x_{8} / k_{29}\right)\right) + -1 \cdot k_{2} \cdot k_{30} \cdot \left(x_{7} \cdot x_{15} - x_{13} \cdot x_{16} / k_{31}\right)\right) / k_{2}\\
\frac{dx_{16}}{dt} = \left(1 \cdot k_{2} \cdot k_{30} \cdot \left(x_{7} \cdot x_{15} - x_{13} \cdot x_{16} / k_{31}\right) + -1 \cdot k_{32} \cdot k_{2} \cdot \left(x_{16} - x_{17} / k_{33}\right)\right) / k_{2}\\
\frac{dx_{17}}{dt} = \left(1 \cdot k_{32} \cdot k_{2} \cdot \left(x_{16} - x_{17} / k_{33}\right) + 1 \cdot k_{2} \cdot k_{34} \cdot \left(x_{13} - x_{17} / k_{35}\right) + -1 \cdot k_{1} \cdot k_{36} \cdot x_{17} \cdot k_{2} \cdot x_{4} / \left(\left(x_{17} + k_{37} \cdot \left(1 + x_{3} / k_{38} + x_{2} / k_{39} + x_{8} / k_{40}\right)\right) \cdot \left(x_{4} \cdot \left(1 + x_{23} / k_{41}\right) + k_{42} \cdot \left(1 + x_{23} / k_{43}\right)\right)\right)\right) / k_{2}\\
\frac{dx_{18}}{dt} = 0\\
\frac{dx_{19}}{dt} = 0\\
\frac{dx_{20}}{dt} = \left(1 \cdot k_{44} \cdot k_{2} \cdot \left(x_{11} - x_{20} / k_{45}\right) + -1 \cdot k_{46} \cdot k_{2} \cdot \left(x_{20} - x_{26} / k_{47}\right)\right) / k_{2}\\
\frac{dx_{21}}{dt} = 0\\
\frac{dx_{22}}{dt} = 0\\
\frac{dx_{23}}{dt} = \left(1 \cdot k_{1} \cdot k_{11} \cdot k_{2} \cdot \left(x_{3} \cdot x_{4} - x_{5} \cdot x_{23} / k_{12}\right) + 1 \cdot k_{1} \cdot k_{36} \cdot x_{17} \cdot k_{2} \cdot x_{4} / \left(\left(x_{17} + k_{37} \cdot \left(1 + x_{3} / k_{38} + x_{2} / k_{39} + x_{8} / k_{40}\right)\right) \cdot \left(x_{4} \cdot \left(1 + x_{23} / k_{41}\right) + k_{42} \cdot \left(1 + x_{23} / k_{43}\right)\right)\right) + -1 \cdot k_{1} \cdot k_{48} \cdot x_{23} \cdot x_{8} \cdot k_{2} / \left(\left(x_{23} + k_{49}\right) \cdot \left(x_{8} + k_{50}\right)\right) + 1 \cdot k_{51} \cdot x_{26} \cdot x_{4} \cdot k_{2} / \left(\left(x_{26} + k_{52}\right) \cdot \left(1 + x_{23} / k_{53}\right) \cdot \left(x_{4} + k_{54}\right) + k_{54} \cdot x_{8} / \left(k_{55} \cdot x_{3}\right) + k_{56} \cdot x_{11} + k_{57} \cdot x_{10}\right)\right) / k_{2}\\
\frac{dx_{24}}{dt} = 0\\
\frac{dx_{25}}{dt} = 0\\
\frac{dx_{26}}{dt} = \left(1 \cdot k_{46} \cdot k_{2} \cdot \left(x_{20} - x_{26} / k_{47}\right) + -1 \cdot k_{51} \cdot x_{26} \cdot x_{4} \cdot k_{2} / \left(\left(x_{26} + k_{52}\right) \cdot \left(1 + x_{23} / k_{53}\right) \cdot \left(x_{4} + k_{54}\right) + k_{54} \cdot x_{8} / \left(k_{55} \cdot x_{3}\right) + k_{56} \cdot x_{11} + k_{57} \cdot x_{10}\right) + 1 \cdot k_{58} \cdot x_{8} \cdot k_{2} / \left(x_{8} + k_{59} \cdot \left(1 + x_{26} / k_{60}\right)\right)\right) / k_{2}\\
\frac{dx_{27}}{dt} = 0