\frac{dx_{1}}{dt} = \left(-1 \cdot k_{50} \cdot x_{1} / \left(k_{49} + x_{1}\right) + 1 \cdot k_{3} \cdot k_{6} \cdot k_{57} \cdot x_{4} / \left(\frac{17}{50} \cdot \left(1 + x_{3} / \frac{57}{100} + x_{2} / \frac{16}{25}\right)\right)^{k_{58}} \cdot x_{2} / k_{59} / \left(\left(1 + x_{4} / \left(\frac{17}{50} \cdot \left(1 + x_{3} / \frac{57}{100} + x_{2} / \frac{16}{25}\right)\right)^{k_{58}}\right) \cdot \left(1 + x_{2} / k_{59}\right)\right)\right) / k_{6}\\
\frac{dx_{2}}{dt} = \left(-1 \cdot k_{3} \cdot k_{6} \cdot k_{57} \cdot x_{4} / \left(\frac{17}{50} \cdot \left(1 + x_{3} / \frac{57}{100} + x_{2} / \frac{16}{25}\right)\right)^{k_{58}} \cdot x_{2} / k_{59} / \left(\left(1 + x_{4} / \left(\frac{17}{50} \cdot \left(1 + x_{3} / \frac{57}{100} + x_{2} / \frac{16}{25}\right)\right)^{k_{58}}\right) \cdot \left(1 + x_{2} / k_{59}\right)\right) + 1 \cdot k_{6} \cdot k_{60} \cdot x_{3} / x_{2} + 2 \cdot k_{6} \cdot k_{75} \cdot \left(x_{3} \cdot x_{6} - k_{76} \cdot x_{2} \cdot x_{2}\right)\right) / k_{6}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{3} \cdot k_{6} \cdot k_{57} \cdot x_{4} / \left(\frac{17}{50} \cdot \left(1 + x_{3} / \frac{57}{100} + x_{2} / \frac{16}{25}\right)\right)^{k_{58}} \cdot x_{2} / k_{59} / \left(\left(1 + x_{4} / \left(\frac{17}{50} \cdot \left(1 + x_{3} / \frac{57}{100} + x_{2} / \frac{16}{25}\right)\right)^{k_{58}}\right) \cdot \left(1 + x_{2} / k_{59}\right)\right) + -1 \cdot k_{6} \cdot k_{60} \cdot x_{3} / x_{2} + -1 \cdot k_{6} \cdot k_{75} \cdot \left(x_{3} \cdot x_{6} - k_{76} \cdot x_{2} \cdot x_{2}\right)\right) / k_{6}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot k_{3} \cdot k_{6} \cdot k_{57} \cdot x_{4} / \left(\frac{17}{50} \cdot \left(1 + x_{3} / \frac{57}{100} + x_{2} / \frac{16}{25}\right)\right)^{k_{58}} \cdot x_{2} / k_{59} / \left(\left(1 + x_{4} / \left(\frac{17}{50} \cdot \left(1 + x_{3} / \frac{57}{100} + x_{2} / \frac{16}{25}\right)\right)^{k_{58}}\right) \cdot \left(1 + x_{2} / k_{59}\right)\right) + 1 \cdot k_{5} \cdot k_{6} \cdot \left(k_{73} \cdot x_{5} / k_{71} - k_{74} \cdot x_{4} / k_{72}\right) / \left(1 + x_{5} / k_{71} + x_{4} / k_{72}\right)\right) / k_{6}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{4} \cdot k_{6} \cdot \left(k_{69} \cdot x_{7} / k_{67} - k_{70} \cdot x_{5} / k_{68}\right) / \left(1 + x_{7} / k_{67} + x_{5} / k_{68}\right) + -1 \cdot k_{5} \cdot k_{6} \cdot \left(k_{73} \cdot x_{5} / k_{71} - k_{74} \cdot x_{4} / k_{72}\right) / \left(1 + x_{5} / k_{71} + x_{4} / k_{72}\right)\right) / k_{6}\\
\frac{dx_{6}}{dt} = -1 \cdot k_{6} \cdot k_{75} \cdot \left(x_{3} \cdot x_{6} - k_{76} \cdot x_{2} \cdot x_{2}\right) / k_{6}\\
\frac{dx_{7}}{dt} = \left(-1 \cdot k_{4} \cdot k_{6} \cdot \left(k_{69} \cdot x_{7} / k_{67} - k_{70} \cdot x_{5} / k_{68}\right) / \left(1 + x_{7} / k_{67} + x_{5} / k_{68}\right) + 1 \cdot \left(k_{79} \cdot x_{23} - k_{80} \cdot x_{7}\right)\right) / k_{6}\\
\frac{dx_{8}}{dt} = \left(1 \cdot k_{6} \cdot k_{48} \cdot x_{9} / \left(k_{47} + x_{9}\right) + -1 \cdot \left(k_{81} \cdot x_{22} \cdot x_{8} - k_{82} \cdot x_{9} \cdot x_{17}\right)\right) / k_{6}\\
\frac{dx_{9}}{dt} = \left(-1 \cdot k_{6} \cdot k_{48} \cdot x_{9} / \left(k_{47} + x_{9}\right) + 1 \cdot \left(k_{81} \cdot x_{22} \cdot x_{8} - k_{82} \cdot x_{9} \cdot x_{17}\right)\right) / k_{6}\\
\frac{dx_{10}}{dt} = \left(1 \cdot k_{9} \cdot \left(k_{85} - x_{10}\right) / \left(k_{10} + k_{85} + x_{10} + k_{11} \cdot k_{85} \cdot x_{10} / k_{10}\right) + -1 \cdot k_{1} \cdot k_{7} \cdot k_{12} \cdot x_{10} / k_{13} \cdot x_{11} / k_{14} / \left(\left(1 + x_{11} / k_{14} + x_{12} / k_{15}\right) \cdot \left(1 + x_{10} / k_{13} + x_{14} / k_{16}\right)\right)\right) / k_{7}\\
\frac{dx_{11}}{dt} = \left(-1 \cdot k_{1} \cdot k_{7} \cdot k_{12} \cdot x_{10} / k_{13} \cdot x_{11} / k_{14} / \left(\left(1 + x_{11} / k_{14} + x_{12} / k_{15}\right) \cdot \left(1 + x_{10} / k_{13} + x_{14} / k_{16}\right)\right) + -1 \cdot k_{2} \cdot k_{7} \cdot k_{21} \cdot k_{22} / \left(k_{22} + x_{16}\right) \cdot x_{15} / k_{23} \cdot x_{11} / k_{24} / \left(\left(1 + x_{15} / k_{23} + x_{16} / k_{25}\right) \cdot \left(1 + x_{11} / k_{24}\right)\right) + 1 \cdot k_{7} \cdot k_{51} \cdot \left(x_{21} / k_{52} \cdot x_{12} / k_{53} - k_{54} \cdot x_{23} / k_{55} \cdot x_{11} / k_{56}\right) / \left(\left(1 + x_{21} / k_{52} + x_{23} / k_{55}\right) \cdot \left(1 + x_{12} / k_{53} + x_{11} / k_{56}\right)\right) + 1 \cdot k_{7} \cdot k_{61} \cdot \left(x_{22} / k_{62} \cdot x_{12} / k_{63} - k_{64} \cdot x_{24} / k_{65} \cdot x_{11} / k_{66}\right) / \left(\left(1 + x_{22} / k_{62} + x_{24} / k_{65}\right) \cdot \left(1 + x_{12} / k_{63} + x_{11} / k_{66}\right)\right) + -1 \cdot k_{7} \cdot k_{77} \cdot \left(x_{11} \cdot x_{13} - k_{78} \cdot x_{12} \cdot x_{12}\right)\right) / k_{7}\\
\frac{dx_{12}}{dt} = \left(1 \cdot k_{1} \cdot k_{7} \cdot k_{12} \cdot x_{10} / k_{13} \cdot x_{11} / k_{14} / \left(\left(1 + x_{11} / k_{14} + x_{12} / k_{15}\right) \cdot \left(1 + x_{10} / k_{13} + x_{14} / k_{16}\right)\right) + 1 \cdot k_{2} \cdot k_{7} \cdot k_{21} \cdot k_{22} / \left(k_{22} + x_{16}\right) \cdot x_{15} / k_{23} \cdot x_{11} / k_{24} / \left(\left(1 + x_{15} / k_{23} + x_{16} / k_{25}\right) \cdot \left(1 + x_{11} / k_{24}\right)\right) + -1 \cdot k_{7} \cdot k_{51} \cdot \left(x_{21} / k_{52} \cdot x_{12} / k_{53} - k_{54} \cdot x_{23} / k_{55} \cdot x_{11} / k_{56}\right) / \left(\left(1 + x_{21} / k_{52} + x_{23} / k_{55}\right) \cdot \left(1 + x_{12} / k_{53} + x_{11} / k_{56}\right)\right) + -1 \cdot k_{7} \cdot k_{61} \cdot \left(x_{22} / k_{62} \cdot x_{12} / k_{63} - k_{64} \cdot x_{24} / k_{65} \cdot x_{11} / k_{66}\right) / \left(\left(1 + x_{22} / k_{62} + x_{24} / k_{65}\right) \cdot \left(1 + x_{12} / k_{63} + x_{11} / k_{66}\right)\right) + 2 \cdot k_{7} \cdot k_{77} \cdot \left(x_{11} \cdot x_{13} - k_{78} \cdot x_{12} \cdot x_{12}\right)\right) / k_{7}\\
\frac{dx_{13}}{dt} = -1 \cdot k_{7} \cdot k_{77} \cdot \left(x_{11} \cdot x_{13} - k_{78} \cdot x_{12} \cdot x_{12}\right) / k_{7}\\
\frac{dx_{14}}{dt} = \left(1 \cdot k_{1} \cdot k_{7} \cdot k_{12} \cdot x_{10} / k_{13} \cdot x_{11} / k_{14} / \left(\left(1 + x_{11} / k_{14} + x_{12} / k_{15}\right) \cdot \left(1 + x_{10} / k_{13} + x_{14} / k_{16}\right)\right) + -1 \cdot k_{7} \cdot \left(k_{19} \cdot x_{14} / k_{17} - k_{20} \cdot x_{15} / k_{18}\right) / \left(1 + x_{14} / k_{17} + x_{15} / k_{18}\right)\right) / k_{7}\\
\frac{dx_{15}}{dt} = \left(1 \cdot k_{7} \cdot \left(k_{19} \cdot x_{14} / k_{17} - k_{20} \cdot x_{15} / k_{18}\right) / \left(1 + x_{14} / k_{17} + x_{15} / k_{18}\right) + -1 \cdot k_{2} \cdot k_{7} \cdot k_{21} \cdot k_{22} / \left(k_{22} + x_{16}\right) \cdot x_{15} / k_{23} \cdot x_{11} / k_{24} / \left(\left(1 + x_{15} / k_{23} + x_{16} / k_{25}\right) \cdot \left(1 + x_{11} / k_{24}\right)\right)\right) / k_{7}\\
\frac{dx_{16}}{dt} = \left(1 \cdot k_{2} \cdot k_{7} \cdot k_{21} \cdot k_{22} / \left(k_{22} + x_{16}\right) \cdot x_{15} / k_{23} \cdot x_{11} / k_{24} / \left(\left(1 + x_{15} / k_{23} + x_{16} / k_{25}\right) \cdot \left(1 + x_{11} / k_{24}\right)\right) + -1 \cdot k_{7} \cdot k_{26} \cdot \left(x_{16} - x_{18} \cdot x_{17} / k_{27}\right) / \left(\frac{9}{1000} \cdot \left(1 + x_{11} / \frac{17}{25} + x_{12} / \frac{151}{100} + x_{13} / \frac{73}{20}\right) + x_{16} + x_{18} \cdot \frac{3}{200} \cdot \left(1 + x_{11} / \frac{17}{25} + x_{12} / \frac{151}{100} + x_{13} / \frac{73}{20}\right) / k_{27} \cdot 1 / k_{28} + x_{17} \cdot k_{29} / k_{27} \cdot 1 / k_{28} + x_{16} \cdot x_{18} / k_{30} + x_{18} \cdot x_{17} / k_{27} \cdot 1 / k_{28}\right)\right) / k_{7}\\
\frac{dx_{17}}{dt} = \left(1 \cdot k_{7} \cdot k_{26} \cdot \left(x_{16} - x_{18} \cdot x_{17} / k_{27}\right) / \left(\frac{9}{1000} \cdot \left(1 + x_{11} / \frac{17}{25} + x_{12} / \frac{151}{100} + x_{13} / \frac{73}{20}\right) + x_{16} + x_{18} \cdot \frac{3}{200} \cdot \left(1 + x_{11} / \frac{17}{25} + x_{12} / \frac{151}{100} + x_{13} / \frac{73}{20}\right) / k_{27} \cdot 1 / k_{28} + x_{17} \cdot k_{29} / k_{27} \cdot 1 / k_{28} + x_{16} \cdot x_{18} / k_{30} + x_{18} \cdot x_{17} / k_{27} \cdot 1 / k_{28}\right) + -1 \cdot k_{7} \cdot \left(k_{33} \cdot x_{17} / k_{31} - k_{34} \cdot x_{18} / k_{32}\right) / \left(1 + x_{17} / k_{31} + x_{18} / k_{32}\right) + -1 \cdot k_{7} \cdot k_{41} \cdot \left(x_{17} / k_{42} \cdot x_{20} / k_{43} - k_{44} \cdot x_{19} / k_{45} \cdot x_{22} / k_{46}\right) / \left(\left(1 + x_{17} / k_{42} + x_{22} / k_{46}\right) \cdot \left(1 + x_{20} / k_{43} + x_{19} / k_{45}\right)\right) + 1 \cdot \left(k_{81} \cdot x_{22} \cdot x_{8} - k_{82} \cdot x_{9} \cdot x_{17}\right)\right) / k_{7}\\
\frac{dx_{18}}{dt} = \left(1 \cdot k_{7} \cdot k_{26} \cdot \left(x_{16} - x_{18} \cdot x_{17} / k_{27}\right) / \left(\frac{9}{1000} \cdot \left(1 + x_{11} / \frac{17}{25} + x_{12} / \frac{151}{100} + x_{13} / \frac{73}{20}\right) + x_{16} + x_{18} \cdot \frac{3}{200} \cdot \left(1 + x_{11} / \frac{17}{25} + x_{12} / \frac{151}{100} + x_{13} / \frac{73}{20}\right) / k_{27} \cdot 1 / k_{28} + x_{17} \cdot k_{29} / k_{27} \cdot 1 / k_{28} + x_{16} \cdot x_{18} / k_{30} + x_{18} \cdot x_{17} / k_{27} \cdot 1 / k_{28}\right) + 1 \cdot k_{7} \cdot \left(k_{33} \cdot x_{17} / k_{31} - k_{34} \cdot x_{18} / k_{32}\right) / \left(1 + x_{17} / k_{31} + x_{18} / k_{32}\right) + -1 \cdot k_{7} \cdot k_{35} \cdot \left(x_{18} / k_{36} \cdot x_{19} / k_{37} - k_{38} \cdot x_{21} / k_{39} \cdot x_{20} / k_{40}\right) / \left(\left(1 + x_{18} / k_{36} + x_{21} / k_{39}\right) \cdot \left(1 + x_{19} / k_{37} + x_{20} / k_{40}\right)\right)\right) / k_{7}\\
\frac{dx_{19}}{dt} = \left(-1 \cdot k_{7} \cdot k_{35} \cdot \left(x_{18} / k_{36} \cdot x_{19} / k_{37} - k_{38} \cdot x_{21} / k_{39} \cdot x_{20} / k_{40}\right) / \left(\left(1 + x_{18} / k_{36} + x_{21} / k_{39}\right) \cdot \left(1 + x_{19} / k_{37} + x_{20} / k_{40}\right)\right) + 1 \cdot k_{7} \cdot k_{41} \cdot \left(x_{17} / k_{42} \cdot x_{20} / k_{43} - k_{44} \cdot x_{19} / k_{45} \cdot x_{22} / k_{46}\right) / \left(\left(1 + x_{17} / k_{42} + x_{22} / k_{46}\right) \cdot \left(1 + x_{20} / k_{43} + x_{19} / k_{45}\right)\right)\right) / k_{7}\\
\frac{dx_{20}}{dt} = \left(1 \cdot k_{7} \cdot k_{35} \cdot \left(x_{18} / k_{36} \cdot x_{19} / k_{37} - k_{38} \cdot x_{21} / k_{39} \cdot x_{20} / k_{40}\right) / \left(\left(1 + x_{18} / k_{36} + x_{21} / k_{39}\right) \cdot \left(1 + x_{19} / k_{37} + x_{20} / k_{40}\right)\right) + -1 \cdot k_{7} \cdot k_{41} \cdot \left(x_{17} / k_{42} \cdot x_{20} / k_{43} - k_{44} \cdot x_{19} / k_{45} \cdot x_{22} / k_{46}\right) / \left(\left(1 + x_{17} / k_{42} + x_{22} / k_{46}\right) \cdot \left(1 + x_{20} / k_{43} + x_{19} / k_{45}\right)\right)\right) / k_{7}\\
\frac{dx_{21}}{dt} = \left(1 \cdot k_{7} \cdot k_{35} \cdot \left(x_{18} / k_{36} \cdot x_{19} / k_{37} - k_{38} \cdot x_{21} / k_{39} \cdot x_{20} / k_{40}\right) / \left(\left(1 + x_{18} / k_{36} + x_{21} / k_{39}\right) \cdot \left(1 + x_{19} / k_{37} + x_{20} / k_{40}\right)\right) + -1 \cdot k_{7} \cdot k_{51} \cdot \left(x_{21} / k_{52} \cdot x_{12} / k_{53} - k_{54} \cdot x_{23} / k_{55} \cdot x_{11} / k_{56}\right) / \left(\left(1 + x_{21} / k_{52} + x_{23} / k_{55}\right) \cdot \left(1 + x_{12} / k_{53} + x_{11} / k_{56}\right)\right)\right) / k_{7}\\
\frac{dx_{22}}{dt} = \left(1 \cdot k_{7} \cdot k_{41} \cdot \left(x_{17} / k_{42} \cdot x_{20} / k_{43} - k_{44} \cdot x_{19} / k_{45} \cdot x_{22} / k_{46}\right) / \left(\left(1 + x_{17} / k_{42} + x_{22} / k_{46}\right) \cdot \left(1 + x_{20} / k_{43} + x_{19} / k_{45}\right)\right) + -1 \cdot k_{7} \cdot k_{61} \cdot \left(x_{22} / k_{62} \cdot x_{12} / k_{63} - k_{64} \cdot x_{24} / k_{65} \cdot x_{11} / k_{66}\right) / \left(\left(1 + x_{22} / k_{62} + x_{24} / k_{65}\right) \cdot \left(1 + x_{12} / k_{63} + x_{11} / k_{66}\right)\right) + -1 \cdot \left(k_{81} \cdot x_{22} \cdot x_{8} - k_{82} \cdot x_{9} \cdot x_{17}\right)\right) / k_{7}\\
\frac{dx_{23}}{dt} = \left(1 \cdot k_{7} \cdot k_{51} \cdot \left(x_{21} / k_{52} \cdot x_{12} / k_{53} - k_{54} \cdot x_{23} / k_{55} \cdot x_{11} / k_{56}\right) / \left(\left(1 + x_{21} / k_{52} + x_{23} / k_{55}\right) \cdot \left(1 + x_{12} / k_{53} + x_{11} / k_{56}\right)\right) + -1 \cdot \left(k_{79} \cdot x_{23} - k_{80} \cdot x_{7}\right)\right) / k_{7}\\
\frac{dx_{24}}{dt} = \left(1 \cdot k_{7} \cdot k_{61} \cdot \left(x_{22} / k_{62} \cdot x_{12} / k_{63} - k_{64} \cdot x_{24} / k_{65} \cdot x_{11} / k_{66}\right) / \left(\left(1 + x_{22} / k_{62} + x_{24} / k_{65}\right) \cdot \left(1 + x_{12} / k_{63} + x_{11} / k_{66}\right)\right) + -1 \cdot \left(k_{83} \cdot x_{24} - k_{84} \cdot k_{87}\right)\right) / k_{7}\\
\frac{dx_{25}}{dt} = 0\\
\frac{dx_{26}}{dt} = 0\\
\frac{dx_{27}}{dt} = 0