\frac{dx_{1}}{dt} = \left(1 \cdot k_{1} \cdot k_{2} / k_{3} \cdot \left(k_{171} - x_{1} / k_{4}\right) / \left(1 + k_{171} / k_{3} + x_{1} / k_{5} + k_{6} \cdot k_{171} \cdot x_{1} / k_{3} / k_{5}\right) + -1 \cdot k_{1} \cdot k_{7} \cdot x_{1} / \left(x_{1} + k_{8}\right) \cdot k_{9} / k_{10} \cdot \left(x_{2} + k_{11} / k_{9} \cdot x_{2} \cdot x_{33} / k_{12} - x_{3} \cdot x_{4} / k_{13}\right) / \left(1 + x_{2} / k_{10} \cdot \left(1 + x_{33} / k_{12}\right) + x_{33} / k_{14} + \left(\frac{31}{20} + x_{3} / k_{15}\right) \cdot \left(1 + x_{33} / k_{14}\right) + \left(x_{14} + x_{34}\right) / k_{16} + x_{33} \cdot \left(x_{14} + x_{34}\right) / \left(k_{14} \cdot k_{17}\right)\right)\right) / k_{1}\\
\frac{dx_{2}}{dt} = \left(-1 \cdot k_{1} \cdot k_{7} \cdot x_{1} / \left(x_{1} + k_{8}\right) \cdot k_{9} / k_{10} \cdot \left(x_{2} + k_{11} / k_{9} \cdot x_{2} \cdot x_{33} / k_{12} - x_{3} \cdot x_{4} / k_{13}\right) / \left(1 + x_{2} / k_{10} \cdot \left(1 + x_{33} / k_{12}\right) + x_{33} / k_{14} + \left(\frac{31}{20} + x_{3} / k_{15}\right) \cdot \left(1 + x_{33} / k_{14}\right) + \left(x_{14} + x_{34}\right) / k_{16} + x_{33} \cdot \left(x_{14} + x_{34}\right) / \left(k_{14} \cdot k_{17}\right)\right) + -1 \cdot k_{1} \cdot k_{22} \cdot \left(x_{5} \cdot x_{2} - x_{6} \cdot x_{4} / k_{23}\right) / \left(\left(x_{5} + k_{24}\right) \cdot \left(x_{2} + k_{25}\right) \cdot \left(1 + k_{26} \cdot \left(1 + x_{32} / k_{27}\right) \cdot \left(1 + x_{33} / k_{28}\right) / \left(\left(1 + \left(x_{21} + x_{31}\right) / k_{29}\right) \cdot \left(1 + x_{5} / k_{24}\right)\right)^{4}\right)\right) + 1 \cdot k_{1} \cdot k_{48} / \left(k_{49} \cdot k_{50}\right) \cdot \left(x_{4} \cdot x_{11} - x_{2} \cdot x_{13} / k_{51}\right) / \left(\left(1 + x_{4} / k_{49}\right) \cdot \left(1 + x_{11} / k_{50}\right) + \left(1 + x_{2} / k_{52}\right) \cdot \left(1 + x_{13} / k_{53}\right) - 1\right) + 1 \cdot k_{1} \cdot k_{68} \cdot \left(x_{16} \cdot x_{4} - x_{17} \cdot x_{2} / k_{69}\right) / \left(\left(x_{16} + k_{70}\right) \cdot \left(x_{4} + k_{71}\right) \cdot \left(1 + k_{72} \cdot 1 + \left(x_{32} + x_{2}\right) / k_{73}^{4} / \left(1 + x_{16} / k_{70}^{4} \cdot 1 + x_{6} / k_{74}^{4}\right)\right)\right) + -1 \cdot k_{1} \cdot k_{79} \cdot x_{2} + -1 \cdot k_{1} \cdot k_{80} / \left(k_{81} \cdot k_{82}\right) \cdot \left(x_{2} \cdot x_{21} - x_{4} \cdot x_{22} / k_{83}\right) / \left(\left(1 + x_{2} / k_{81}\right) \cdot \left(1 + x_{21} / k_{82}\right) + \left(x_{4} + x_{22}\right) / k_{84} + x_{4} \cdot x_{22} / k_{84}^{2}\right) + -1 \cdot k_{1} \cdot k_{133} \cdot \left(x_{28} \cdot x_{2} - k_{168} \cdot x_{31} / k_{134}\right) / \left(\left(k_{135} + x_{2}\right) \cdot \left(k_{136} + x_{28}\right)\right) + -1 \cdot k_{1} \cdot k_{152} \cdot \left(x_{2} - x_{33} \cdot x_{32} / k_{153}\right)\right) / k_{1}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{1} \cdot k_{7} \cdot x_{1} / \left(x_{1} + k_{8}\right) \cdot k_{9} / k_{10} \cdot \left(x_{2} + k_{11} / k_{9} \cdot x_{2} \cdot x_{33} / k_{12} - x_{3} \cdot x_{4} / k_{13}\right) / \left(1 + x_{2} / k_{10} \cdot \left(1 + x_{33} / k_{12}\right) + x_{33} / k_{14} + \left(\frac{31}{20} + x_{3} / k_{15}\right) \cdot \left(1 + x_{33} / k_{14}\right) + \left(x_{14} + x_{34}\right) / k_{16} + x_{33} \cdot \left(x_{14} + x_{34}\right) / \left(k_{14} \cdot k_{17}\right)\right) + -1 \cdot k_{1} \cdot k_{18} \cdot \left(x_{3} - x_{5} / k_{19}\right) / \left(x_{3} + k_{20} \cdot \left(1 + x_{5} / k_{21}\right)\right) + -1 \cdot k_{1} \cdot k_{85} / k_{86} / k_{87} \cdot \left(x_{3} \cdot x_{20} - x_{23} \cdot x_{19} / k_{88}\right) / \left(1 + x_{20} \cdot \left(1 + x_{3} / k_{86}\right) / k_{87} + \left(x_{32} + x_{2}\right) / k_{89} + x_{19} / k_{90} + \left(x_{14} + x_{34}\right) / k_{91}\right)\right) / k_{1}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{1} \cdot k_{7} \cdot x_{1} / \left(x_{1} + k_{8}\right) \cdot k_{9} / k_{10} \cdot \left(x_{2} + k_{11} / k_{9} \cdot x_{2} \cdot x_{33} / k_{12} - x_{3} \cdot x_{4} / k_{13}\right) / \left(1 + x_{2} / k_{10} \cdot \left(1 + x_{33} / k_{12}\right) + x_{33} / k_{14} + \left(\frac{31}{20} + x_{3} / k_{15}\right) \cdot \left(1 + x_{33} / k_{14}\right) + \left(x_{14} + x_{34}\right) / k_{16} + x_{33} \cdot \left(x_{14} + x_{34}\right) / \left(k_{14} \cdot k_{17}\right)\right) + 1 \cdot k_{1} \cdot k_{22} \cdot \left(x_{5} \cdot x_{2} - x_{6} \cdot x_{4} / k_{23}\right) / \left(\left(x_{5} + k_{24}\right) \cdot \left(x_{2} + k_{25}\right) \cdot \left(1 + k_{26} \cdot \left(1 + x_{32} / k_{27}\right) \cdot \left(1 + x_{33} / k_{28}\right) / \left(\left(1 + \left(x_{21} + x_{31}\right) / k_{29}\right) \cdot \left(1 + x_{5} / k_{24}\right)\right)^{4}\right)\right) + -1 \cdot k_{1} \cdot k_{48} / \left(k_{49} \cdot k_{50}\right) \cdot \left(x_{4} \cdot x_{11} - x_{2} \cdot x_{13} / k_{51}\right) / \left(\left(1 + x_{4} / k_{49}\right) \cdot \left(1 + x_{11} / k_{50}\right) + \left(1 + x_{2} / k_{52}\right) \cdot \left(1 + x_{13} / k_{53}\right) - 1\right) + -1 \cdot k_{1} \cdot k_{68} \cdot \left(x_{16} \cdot x_{4} - x_{17} \cdot x_{2} / k_{69}\right) / \left(\left(x_{16} + k_{70}\right) \cdot \left(x_{4} + k_{71}\right) \cdot \left(1 + k_{72} \cdot 1 + \left(x_{32} + x_{2}\right) / k_{73}^{4} / \left(1 + x_{16} / k_{70}^{4} \cdot 1 + x_{6} / k_{74}^{4}\right)\right)\right) + 1 \cdot k_{1} \cdot k_{79} \cdot x_{2} + 1 \cdot k_{1} \cdot k_{80} / \left(k_{81} \cdot k_{82}\right) \cdot \left(x_{2} \cdot x_{21} - x_{4} \cdot x_{22} / k_{83}\right) / \left(\left(1 + x_{2} / k_{81}\right) \cdot \left(1 + x_{21} / k_{82}\right) + \left(x_{4} + x_{22}\right) / k_{84} + x_{4} \cdot x_{22} / k_{84}^{2}\right) + -1 \cdot k_{1} \cdot k_{154} \cdot \left(x_{4} - x_{33} \cdot x_{22} / k_{155}\right)\right) / k_{1}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{1} \cdot k_{18} \cdot \left(x_{3} - x_{5} / k_{19}\right) / \left(x_{3} + k_{20} \cdot \left(1 + x_{5} / k_{21}\right)\right) + -1 \cdot k_{1} \cdot k_{22} \cdot \left(x_{5} \cdot x_{2} - x_{6} \cdot x_{4} / k_{23}\right) / \left(\left(x_{5} + k_{24}\right) \cdot \left(x_{2} + k_{25}\right) \cdot \left(1 + k_{26} \cdot \left(1 + x_{32} / k_{27}\right) \cdot \left(1 + x_{33} / k_{28}\right) / \left(\left(1 + \left(x_{21} + x_{31}\right) / k_{29}\right) \cdot \left(1 + x_{5} / k_{24}\right)\right)^{4}\right)\right) + 1 \cdot k_{1} \cdot k_{124} \cdot \left(x_{29} \cdot x_{7} - x_{30} \cdot x_{5} / k_{125}\right) / \left(\left(k_{126} + x_{7}\right) \cdot x_{29} + \left(k_{127} + k_{128} \cdot x_{5}\right) \cdot x_{7} + \left(k_{129} + k_{130} \cdot x_{5}\right) \cdot x_{30} + k_{131} \cdot x_{5} + k_{132} \cdot x_{29} \cdot x_{30}\right) + 1 \cdot k_{1} \cdot k_{137} \cdot \left(x_{30} \cdot x_{27} - x_{7} \cdot x_{5} / k_{138}\right) / \left(\left(k_{139} + x_{30}\right) \cdot x_{27} + \left(k_{140} + k_{141} \cdot x_{5}\right) \cdot x_{30} + \left(k_{142} + k_{143} \cdot x_{5}\right) \cdot x_{7} + k_{144} \cdot x_{5} + k_{145} \cdot x_{27} \cdot x_{7}\right)\right) / k_{1}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{1} \cdot k_{22} \cdot \left(x_{5} \cdot x_{2} - x_{6} \cdot x_{4} / k_{23}\right) / \left(\left(x_{5} + k_{24}\right) \cdot \left(x_{2} + k_{25}\right) \cdot \left(1 + k_{26} \cdot \left(1 + x_{32} / k_{27}\right) \cdot \left(1 + x_{33} / k_{28}\right) / \left(\left(1 + \left(x_{21} + x_{31}\right) / k_{29}\right) \cdot \left(1 + x_{5} / k_{24}\right)\right)^{4}\right)\right) + -1 \cdot k_{1} \cdot k_{30} / k_{31} \cdot \left(x_{6} - x_{7} \cdot x_{8} / k_{32}\right) / \left(1 + x_{6} / k_{31} + x_{7} / k_{33} + x_{8} \cdot \left(x_{7} + k_{34}\right) / \left(k_{35} \cdot k_{33}\right) + x_{6} \cdot x_{7} / \left(k_{31} \cdot k_{36}\right)\right)\right) / k_{1}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{1} \cdot k_{30} / k_{31} \cdot \left(x_{6} - x_{7} \cdot x_{8} / k_{32}\right) / \left(1 + x_{6} / k_{31} + x_{7} / k_{33} + x_{8} \cdot \left(x_{7} + k_{34}\right) / \left(k_{35} \cdot k_{33}\right) + x_{6} \cdot x_{7} / \left(k_{31} \cdot k_{36}\right)\right) + 1 \cdot k_{1} \cdot k_{37} \cdot \left(x_{8} - x_{7} / k_{38}\right) / \left(x_{8} + k_{39} \cdot \left(1 + x_{7} / k_{40}\right)\right) + -1 \cdot k_{1} \cdot k_{41} / \left(k_{42} \cdot k_{43} \cdot k_{44}\right) \cdot \left(x_{10} \cdot x_{7} \cdot x_{9} - x_{11} \cdot x_{12} / k_{45}\right) / \left(\left(1 + x_{10} / k_{42}\right) \cdot \left(1 + x_{7} / k_{43}\right) \cdot \left(1 + x_{9} / k_{44}\right) + \left(1 + x_{12} / k_{46}\right) \cdot \left(1 + x_{11} / k_{47}\right) - 1\right) + 1 \cdot k_{1} \cdot k_{115} \cdot \left(x_{28} \cdot x_{27} - x_{7} \cdot x_{29} / k_{116}\right) / \left(\left(k_{117} + x_{28}\right) \cdot x_{27} + \left(k_{118} + k_{119} \cdot x_{29}\right) \cdot x_{28} + \left(k_{120} + k_{121} \cdot x_{29}\right) \cdot x_{7} + k_{122} \cdot x_{29} + k_{123} \cdot x_{27} \cdot x_{7}\right) + -1 \cdot k_{1} \cdot k_{124} \cdot \left(x_{29} \cdot x_{7} - x_{30} \cdot x_{5} / k_{125}\right) / \left(\left(k_{126} + x_{7}\right) \cdot x_{29} + \left(k_{127} + k_{128} \cdot x_{5}\right) \cdot x_{7} + \left(k_{129} + k_{130} \cdot x_{5}\right) \cdot x_{30} + k_{131} \cdot x_{5} + k_{132} \cdot x_{29} \cdot x_{30}\right) + 1 \cdot k_{1} \cdot k_{137} \cdot \left(x_{30} \cdot x_{27} - x_{7} \cdot x_{5} / k_{138}\right) / \left(\left(k_{139} + x_{30}\right) \cdot x_{27} + \left(k_{140} + k_{141} \cdot x_{5}\right) \cdot x_{30} + \left(k_{142} + k_{143} \cdot x_{5}\right) \cdot x_{7} + k_{144} \cdot x_{5} + k_{145} \cdot x_{27} \cdot x_{7}\right)\right) / k_{1}\\
\frac{dx_{8}}{dt} = \left(1 \cdot k_{1} \cdot k_{30} / k_{31} \cdot \left(x_{6} - x_{7} \cdot x_{8} / k_{32}\right) / \left(1 + x_{6} / k_{31} + x_{7} / k_{33} + x_{8} \cdot \left(x_{7} + k_{34}\right) / \left(k_{35} \cdot k_{33}\right) + x_{6} \cdot x_{7} / \left(k_{31} \cdot k_{36}\right)\right) + -1 \cdot k_{1} \cdot k_{37} \cdot \left(x_{8} - x_{7} / k_{38}\right) / \left(x_{8} + k_{39} \cdot \left(1 + x_{7} / k_{40}\right)\right)\right) / k_{1}\\
\frac{dx_{9}}{dt} = \left(-1 \cdot k_{1} \cdot k_{41} / \left(k_{42} \cdot k_{43} \cdot k_{44}\right) \cdot \left(x_{10} \cdot x_{7} \cdot x_{9} - x_{11} \cdot x_{12} / k_{45}\right) / \left(\left(1 + x_{10} / k_{42}\right) \cdot \left(1 + x_{7} / k_{43}\right) \cdot \left(1 + x_{9} / k_{44}\right) + \left(1 + x_{12} / k_{46}\right) \cdot \left(1 + x_{11} / k_{47}\right) - 1\right) + 1 \cdot k_{1} \cdot k_{57} \cdot \left(x_{14} + x_{34} - x_{13} / k_{58}\right) / \left(x_{14} + x_{34} + k_{59}\right) + 1 \cdot k_{1} \cdot k_{79} \cdot x_{2} + 1 \cdot k_{1} \cdot k_{146} \cdot \left(k_{172} - x_{9} / k_{147}\right)\right) / k_{1}\\
\frac{dx_{10}}{dt} = \left(-1 \cdot k_{1} \cdot k_{41} / \left(k_{42} \cdot k_{43} \cdot k_{44}\right) \cdot \left(x_{10} \cdot x_{7} \cdot x_{9} - x_{11} \cdot x_{12} / k_{45}\right) / \left(\left(1 + x_{10} / k_{42}\right) \cdot \left(1 + x_{7} / k_{43}\right) \cdot \left(1 + x_{9} / k_{44}\right) + \left(1 + x_{12} / k_{46}\right) \cdot \left(1 + x_{11} / k_{47}\right) - 1\right) + 1 \cdot k_{1} \cdot k_{75} \cdot \left(x_{17} \cdot x_{12} - x_{18} \cdot x_{10} / k_{76}\right)\right) / k_{1}\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{1} \cdot k_{41} / \left(k_{42} \cdot k_{43} \cdot k_{44}\right) \cdot \left(x_{10} \cdot x_{7} \cdot x_{9} - x_{11} \cdot x_{12} / k_{45}\right) / \left(\left(1 + x_{10} / k_{42}\right) \cdot \left(1 + x_{7} / k_{43}\right) \cdot \left(1 + x_{9} / k_{44}\right) + \left(1 + x_{12} / k_{46}\right) \cdot \left(1 + x_{11} / k_{47}\right) - 1\right) + -1 \cdot k_{1} \cdot k_{48} / \left(k_{49} \cdot k_{50}\right) \cdot \left(x_{4} \cdot x_{11} - x_{2} \cdot x_{13} / k_{51}\right) / \left(\left(1 + x_{4} / k_{49}\right) \cdot \left(1 + x_{11} / k_{50}\right) + \left(1 + x_{2} / k_{52}\right) \cdot \left(1 + x_{13} / k_{53}\right) - 1\right) + -1 \cdot k_{1} \cdot k_{54} \cdot \left(x_{11} - \left(x_{14} + x_{34}\right) / k_{55}\right) / \left(1 + \left(x_{14} + x_{34}\right) / k_{56}\right)\right) / k_{1}\\
\frac{dx_{12}}{dt} = \left(1 \cdot k_{1} \cdot k_{41} / \left(k_{42} \cdot k_{43} \cdot k_{44}\right) \cdot \left(x_{10} \cdot x_{7} \cdot x_{9} - x_{11} \cdot x_{12} / k_{45}\right) / \left(\left(1 + x_{10} / k_{42}\right) \cdot \left(1 + x_{7} / k_{43}\right) \cdot \left(1 + x_{9} / k_{44}\right) + \left(1 + x_{12} / k_{46}\right) \cdot \left(1 + x_{11} / k_{47}\right) - 1\right) + -1 \cdot k_{1} \cdot k_{75} \cdot \left(x_{17} \cdot x_{12} - x_{18} \cdot x_{10} / k_{76}\right)\right) / k_{1}\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{1} \cdot k_{48} / \left(k_{49} \cdot k_{50}\right) \cdot \left(x_{4} \cdot x_{11} - x_{2} \cdot x_{13} / k_{51}\right) / \left(\left(1 + x_{4} / k_{49}\right) \cdot \left(1 + x_{11} / k_{50}\right) + \left(1 + x_{2} / k_{52}\right) \cdot \left(1 + x_{13} / k_{53}\right) - 1\right) + 1 \cdot k_{1} \cdot k_{57} \cdot \left(x_{14} + x_{34} - x_{13} / k_{58}\right) / \left(x_{14} + x_{34} + k_{59}\right) + -1 \cdot k_{1} \cdot k_{60} \cdot \left(x_{13} - x_{15} / k_{61}\right) / \left(x_{13} + k_{62} \cdot \left(1 + x_{15} / k_{63}\right)\right)\right) / k_{1}\\
\frac{dx_{14}}{dt} = \left(1 \cdot k_{1} \cdot k_{54} \cdot \left(x_{11} - \left(x_{14} + x_{34}\right) / k_{55}\right) / \left(1 + \left(x_{14} + x_{34}\right) / k_{56}\right) + -1 \cdot k_{1} \cdot k_{57} \cdot \left(x_{14} + x_{34} - x_{13} / k_{58}\right) / \left(x_{14} + x_{34} + k_{59}\right) + 1 \cdot k_{1} \cdot k_{158} \cdot \left(x_{34} - x_{33} \cdot x_{14} / k_{159}\right)\right) / k_{1}\\
\frac{dx_{15}}{dt} = \left(1 \cdot k_{1} \cdot k_{60} \cdot \left(x_{13} - x_{15} / k_{61}\right) / \left(x_{13} + k_{62} \cdot \left(1 + x_{15} / k_{63}\right)\right) + -1 \cdot k_{1} \cdot k_{64} \cdot \left(x_{15} - x_{16} / k_{65}\right) / \left(x_{15} + k_{66} \cdot \left(1 + x_{16} / k_{67}\right)\right)\right) / k_{1}\\
\frac{dx_{16}}{dt} = \left(1 \cdot k_{1} \cdot k_{64} \cdot \left(x_{15} - x_{16} / k_{65}\right) / \left(x_{15} + k_{66} \cdot \left(1 + x_{16} / k_{67}\right)\right) + -1 \cdot k_{1} \cdot k_{68} \cdot \left(x_{16} \cdot x_{4} - x_{17} \cdot x_{2} / k_{69}\right) / \left(\left(x_{16} + k_{70}\right) \cdot \left(x_{4} + k_{71}\right) \cdot \left(1 + k_{72} \cdot 1 + \left(x_{32} + x_{2}\right) / k_{73}^{4} / \left(1 + x_{16} / k_{70}^{4} \cdot 1 + x_{6} / k_{74}^{4}\right)\right)\right)\right) / k_{1}\\
\frac{dx_{17}}{dt} = \left(1 \cdot k_{1} \cdot k_{68} \cdot \left(x_{16} \cdot x_{4} - x_{17} \cdot x_{2} / k_{69}\right) / \left(\left(x_{16} + k_{70}\right) \cdot \left(x_{4} + k_{71}\right) \cdot \left(1 + k_{72} \cdot 1 + \left(x_{32} + x_{2}\right) / k_{73}^{4} / \left(1 + x_{16} / k_{70}^{4} \cdot 1 + x_{6} / k_{74}^{4}\right)\right)\right) + -1 \cdot k_{1} \cdot k_{75} \cdot \left(x_{17} \cdot x_{12} - x_{18} \cdot x_{10} / k_{76}\right) + -1 \cdot k_{1} \cdot k_{77} \cdot \left(x_{17} \cdot x_{19} - x_{18} \cdot x_{20} / k_{78}\right) + 1 \cdot k_{1} \cdot k_{150} \cdot \left(k_{170} - x_{17} / k_{151}\right)\right) / k_{1}\\
\frac{dx_{18}}{dt} = \left(1 \cdot k_{1} \cdot k_{75} \cdot \left(x_{17} \cdot x_{12} - x_{18} \cdot x_{10} / k_{76}\right) + 1 \cdot k_{1} \cdot k_{77} \cdot \left(x_{17} \cdot x_{19} - x_{18} \cdot x_{20} / k_{78}\right) + 1 \cdot k_{1} \cdot k_{148} \cdot \left(k_{169} - x_{18} / k_{149}\right)\right) / k_{1}\\
\frac{dx_{19}}{dt} = \left(-1 \cdot k_{1} \cdot k_{77} \cdot \left(x_{17} \cdot x_{19} - x_{18} \cdot x_{20} / k_{78}\right) + 1 \cdot k_{1} \cdot k_{85} / k_{86} / k_{87} \cdot \left(x_{3} \cdot x_{20} - x_{23} \cdot x_{19} / k_{88}\right) / \left(1 + x_{20} \cdot \left(1 + x_{3} / k_{86}\right) / k_{87} + \left(x_{32} + x_{2}\right) / k_{89} + x_{19} / k_{90} + \left(x_{14} + x_{34}\right) / k_{91}\right) + 1 \cdot k_{1} \cdot k_{92} / k_{93} / k_{94} \cdot \left(x_{23} \cdot x_{20} - x_{24} \cdot x_{19} / k_{95}\right) / \left(\left(1 + x_{20} / k_{94}\right) \cdot \left(1 + x_{23} / k_{93} + \left(x_{14} + x_{34}\right) / k_{96}\right) + \left(x_{32} + x_{2}\right) / k_{97} + x_{19} \cdot \left(1 + x_{23} / k_{98}\right) / k_{99}\right) + -1 \cdot k_{1} \cdot k_{100} \cdot \left(x_{25} \cdot x_{19} / \left(k_{101} \cdot k_{102}\right) - x_{26}^{2} / k_{103}^{2} \cdot x_{20} / \left(k_{104} \cdot k_{105}\right)\right) / \left(1 + x_{19} \cdot \left(1 + x_{25} / k_{101}\right) / k_{102} + x_{20} / k_{104} \cdot \left(1 + x_{26} \cdot \left(1 + x_{26} / k_{103}\right) / k_{103}\right)\right) + 1 \cdot k_{1} \cdot k_{162} \cdot \left(x_{37} - x_{36} \cdot x_{19} / k_{163}\right) + 1 \cdot k_{1} \cdot k_{166} \cdot \left(x_{40} - x_{39} \cdot x_{19} / k_{167}\right)\right) / k_{1}\\
\frac{dx_{20}}{dt} = \left(1 \cdot k_{1} \cdot k_{77} \cdot \left(x_{17} \cdot x_{19} - x_{18} \cdot x_{20} / k_{78}\right) + -1 \cdot k_{1} \cdot k_{85} / k_{86} / k_{87} \cdot \left(x_{3} \cdot x_{20} - x_{23} \cdot x_{19} / k_{88}\right) / \left(1 + x_{20} \cdot \left(1 + x_{3} / k_{86}\right) / k_{87} + \left(x_{32} + x_{2}\right) / k_{89} + x_{19} / k_{90} + \left(x_{14} + x_{34}\right) / k_{91}\right) + -1 \cdot k_{1} \cdot k_{92} / k_{93} / k_{94} \cdot \left(x_{23} \cdot x_{20} - x_{24} \cdot x_{19} / k_{95}\right) / \left(\left(1 + x_{20} / k_{94}\right) \cdot \left(1 + x_{23} / k_{93} + \left(x_{14} + x_{34}\right) / k_{96}\right) + \left(x_{32} + x_{2}\right) / k_{97} + x_{19} \cdot \left(1 + x_{23} / k_{98}\right) / k_{99}\right) + 1 \cdot k_{1} \cdot k_{100} \cdot \left(x_{25} \cdot x_{19} / \left(k_{101} \cdot k_{102}\right) - x_{26}^{2} / k_{103}^{2} \cdot x_{20} / \left(k_{104} \cdot k_{105}\right)\right) / \left(1 + x_{19} \cdot \left(1 + x_{25} / k_{101}\right) / k_{102} + x_{20} / k_{104} \cdot \left(1 + x_{26} \cdot \left(1 + x_{26} / k_{103}\right) / k_{103}\right)\right) + 1 \cdot k_{1} \cdot k_{160} \cdot \left(x_{35} - x_{36} \cdot x_{20} / k_{161}\right) + 1 \cdot k_{1} \cdot k_{164} \cdot \left(x_{38} - x_{39} \cdot x_{20} / k_{165}\right)\right) / k_{1}\\
\frac{dx_{21}}{dt} = \left(-1 \cdot k_{1} \cdot k_{80} / \left(k_{81} \cdot k_{82}\right) \cdot \left(x_{2} \cdot x_{21} - x_{4} \cdot x_{22} / k_{83}\right) / \left(\left(1 + x_{2} / k_{81}\right) \cdot \left(1 + x_{21} / k_{82}\right) + \left(x_{4} + x_{22}\right) / k_{84} + x_{4} \cdot x_{22} / k_{84}^{2}\right) + 1 \cdot k_{1} \cdot k_{156} \cdot \left(x_{31} - x_{33} \cdot x_{21} / k_{157}\right)\right) / k_{1}\\
\frac{dx_{22}}{dt} = \left(1 \cdot k_{1} \cdot k_{80} / \left(k_{81} \cdot k_{82}\right) \cdot \left(x_{2} \cdot x_{21} - x_{4} \cdot x_{22} / k_{83}\right) / \left(\left(1 + x_{2} / k_{81}\right) \cdot \left(1 + x_{21} / k_{82}\right) + \left(x_{4} + x_{22}\right) / k_{84} + x_{4} \cdot x_{22} / k_{84}^{2}\right) + 1 \cdot k_{1} \cdot k_{154} \cdot \left(x_{4} - x_{33} \cdot x_{22} / k_{155}\right)\right) / k_{1}\\
\frac{dx_{23}}{dt} = \left(1 \cdot k_{1} \cdot k_{85} / k_{86} / k_{87} \cdot \left(x_{3} \cdot x_{20} - x_{23} \cdot x_{19} / k_{88}\right) / \left(1 + x_{20} \cdot \left(1 + x_{3} / k_{86}\right) / k_{87} + \left(x_{32} + x_{2}\right) / k_{89} + x_{19} / k_{90} + \left(x_{14} + x_{34}\right) / k_{91}\right) + -1 \cdot k_{1} \cdot k_{92} / k_{93} / k_{94} \cdot \left(x_{23} \cdot x_{20} - x_{24} \cdot x_{19} / k_{95}\right) / \left(\left(1 + x_{20} / k_{94}\right) \cdot \left(1 + x_{23} / k_{93} + \left(x_{14} + x_{34}\right) / k_{96}\right) + \left(x_{32} + x_{2}\right) / k_{97} + x_{19} \cdot \left(1 + x_{23} / k_{98}\right) / k_{99}\right)\right) / k_{1}\\
\frac{dx_{24}}{dt} = \left(1 \cdot k_{1} \cdot k_{92} / k_{93} / k_{94} \cdot \left(x_{23} \cdot x_{20} - x_{24} \cdot x_{19} / k_{95}\right) / \left(\left(1 + x_{20} / k_{94}\right) \cdot \left(1 + x_{23} / k_{93} + \left(x_{14} + x_{34}\right) / k_{96}\right) + \left(x_{32} + x_{2}\right) / k_{97} + x_{19} \cdot \left(1 + x_{23} / k_{98}\right) / k_{99}\right) + -1 \cdot k_{1} \cdot k_{107} \cdot \left(x_{24} - x_{27} / k_{108}\right) / \left(x_{24} + k_{109} \cdot \left(1 + x_{27} / k_{110}\right)\right) + -1 \cdot k_{1} \cdot k_{111} \cdot \left(x_{24} - x_{28} / k_{112}\right) / \left(x_{24} + k_{113} \cdot \left(1 + x_{28} / k_{114}\right)\right)\right) / k_{1}\\
\frac{dx_{25}}{dt} = \left(-1 \cdot k_{1} \cdot k_{100} \cdot \left(x_{25} \cdot x_{19} / \left(k_{101} \cdot k_{102}\right) - x_{26}^{2} / k_{103}^{2} \cdot x_{20} / \left(k_{104} \cdot k_{105}\right)\right) / \left(1 + x_{19} \cdot \left(1 + x_{25} / k_{101}\right) / k_{102} + x_{20} / k_{104} \cdot \left(1 + x_{26} \cdot \left(1 + x_{26} / k_{103}\right) / k_{103}\right)\right) + 1 \cdot k_{1} \cdot k_{106} \cdot x_{26}\right) / k_{1}\\
\frac{dx_{26}}{dt} = \left(2 \cdot k_{1} \cdot k_{100} \cdot \left(x_{25} \cdot x_{19} / \left(k_{101} \cdot k_{102}\right) - x_{26}^{2} / k_{103}^{2} \cdot x_{20} / \left(k_{104} \cdot k_{105}\right)\right) / \left(1 + x_{19} \cdot \left(1 + x_{25} / k_{101}\right) / k_{102} + x_{20} / k_{104} \cdot \left(1 + x_{26} \cdot \left(1 + x_{26} / k_{103}\right) / k_{103}\right)\right) + -2 \cdot k_{1} \cdot k_{106} \cdot x_{26}\right) / k_{1}\\
\frac{dx_{27}}{dt} = \left(1 \cdot k_{1} \cdot k_{107} \cdot \left(x_{24} - x_{27} / k_{108}\right) / \left(x_{24} + k_{109} \cdot \left(1 + x_{27} / k_{110}\right)\right) + -1 \cdot k_{1} \cdot k_{115} \cdot \left(x_{28} \cdot x_{27} - x_{7} \cdot x_{29} / k_{116}\right) / \left(\left(k_{117} + x_{28}\right) \cdot x_{27} + \left(k_{118} + k_{119} \cdot x_{29}\right) \cdot x_{28} + \left(k_{120} + k_{121} \cdot x_{29}\right) \cdot x_{7} + k_{122} \cdot x_{29} + k_{123} \cdot x_{27} \cdot x_{7}\right) + -1 \cdot k_{1} \cdot k_{137} \cdot \left(x_{30} \cdot x_{27} - x_{7} \cdot x_{5} / k_{138}\right) / \left(\left(k_{139} + x_{30}\right) \cdot x_{27} + \left(k_{140} + k_{141} \cdot x_{5}\right) \cdot x_{30} + \left(k_{142} + k_{143} \cdot x_{5}\right) \cdot x_{7} + k_{144} \cdot x_{5} + k_{145} \cdot x_{27} \cdot x_{7}\right)\right) / k_{1}\\
\frac{dx_{28}}{dt} = \left(1 \cdot k_{1} \cdot k_{111} \cdot \left(x_{24} - x_{28} / k_{112}\right) / \left(x_{24} + k_{113} \cdot \left(1 + x_{28} / k_{114}\right)\right) + -1 \cdot k_{1} \cdot k_{115} \cdot \left(x_{28} \cdot x_{27} - x_{7} \cdot x_{29} / k_{116}\right) / \left(\left(k_{117} + x_{28}\right) \cdot x_{27} + \left(k_{118} + k_{119} \cdot x_{29}\right) \cdot x_{28} + \left(k_{120} + k_{121} \cdot x_{29}\right) \cdot x_{7} + k_{122} \cdot x_{29} + k_{123} \cdot x_{27} \cdot x_{7}\right) + -1 \cdot k_{1} \cdot k_{133} \cdot \left(x_{28} \cdot x_{2} - k_{168} \cdot x_{31} / k_{134}\right) / \left(\left(k_{135} + x_{2}\right) \cdot \left(k_{136} + x_{28}\right)\right)\right) / k_{1}\\
\frac{dx_{29}}{dt} = \left(1 \cdot k_{1} \cdot k_{115} \cdot \left(x_{28} \cdot x_{27} - x_{7} \cdot x_{29} / k_{116}\right) / \left(\left(k_{117} + x_{28}\right) \cdot x_{27} + \left(k_{118} + k_{119} \cdot x_{29}\right) \cdot x_{28} + \left(k_{120} + k_{121} \cdot x_{29}\right) \cdot x_{7} + k_{122} \cdot x_{29} + k_{123} \cdot x_{27} \cdot x_{7}\right) + -1 \cdot k_{1} \cdot k_{124} \cdot \left(x_{29} \cdot x_{7} - x_{30} \cdot x_{5} / k_{125}\right) / \left(\left(k_{126} + x_{7}\right) \cdot x_{29} + \left(k_{127} + k_{128} \cdot x_{5}\right) \cdot x_{7} + \left(k_{129} + k_{130} \cdot x_{5}\right) \cdot x_{30} + k_{131} \cdot x_{5} + k_{132} \cdot x_{29} \cdot x_{30}\right)\right) / k_{1}\\
\frac{dx_{30}}{dt} = \left(1 \cdot k_{1} \cdot k_{124} \cdot \left(x_{29} \cdot x_{7} - x_{30} \cdot x_{5} / k_{125}\right) / \left(\left(k_{126} + x_{7}\right) \cdot x_{29} + \left(k_{127} + k_{128} \cdot x_{5}\right) \cdot x_{7} + \left(k_{129} + k_{130} \cdot x_{5}\right) \cdot x_{30} + k_{131} \cdot x_{5} + k_{132} \cdot x_{29} \cdot x_{30}\right) + -1 \cdot k_{1} \cdot k_{137} \cdot \left(x_{30} \cdot x_{27} - x_{7} \cdot x_{5} / k_{138}\right) / \left(\left(k_{139} + x_{30}\right) \cdot x_{27} + \left(k_{140} + k_{141} \cdot x_{5}\right) \cdot x_{30} + \left(k_{142} + k_{143} \cdot x_{5}\right) \cdot x_{7} + k_{144} \cdot x_{5} + k_{145} \cdot x_{27} \cdot x_{7}\right)\right) / k_{1}\\
\frac{dx_{31}}{dt} = \left(1 \cdot k_{1} \cdot k_{133} \cdot \left(x_{28} \cdot x_{2} - k_{168} \cdot x_{31} / k_{134}\right) / \left(\left(k_{135} + x_{2}\right) \cdot \left(k_{136} + x_{28}\right)\right) + -1 \cdot k_{1} \cdot k_{156} \cdot \left(x_{31} - x_{33} \cdot x_{21} / k_{157}\right)\right) / k_{1}\\
\frac{dx_{32}}{dt} = 1 \cdot k_{1} \cdot k_{152} \cdot \left(x_{2} - x_{33} \cdot x_{32} / k_{153}\right) / k_{1}\\
\frac{dx_{33}}{dt} = \left(1 \cdot k_{1} \cdot k_{152} \cdot \left(x_{2} - x_{33} \cdot x_{32} / k_{153}\right) + 1 \cdot k_{1} \cdot k_{154} \cdot \left(x_{4} - x_{33} \cdot x_{22} / k_{155}\right) + 1 \cdot k_{1} \cdot k_{156} \cdot \left(x_{31} - x_{33} \cdot x_{21} / k_{157}\right) + 1 \cdot k_{1} \cdot k_{158} \cdot \left(x_{34} - x_{33} \cdot x_{14} / k_{159}\right)\right) / k_{1}\\
\frac{dx_{34}}{dt} = -1 \cdot k_{1} \cdot k_{158} \cdot \left(x_{34} - x_{33} \cdot x_{14} / k_{159}\right) / k_{1}\\
\frac{dx_{35}}{dt} = -1 \cdot k_{1} \cdot k_{160} \cdot \left(x_{35} - x_{36} \cdot x_{20} / k_{161}\right) / k_{1}\\
\frac{dx_{36}}{dt} = \left(1 \cdot k_{1} \cdot k_{160} \cdot \left(x_{35} - x_{36} \cdot x_{20} / k_{161}\right) + 1 \cdot k_{1} \cdot k_{162} \cdot \left(x_{37} - x_{36} \cdot x_{19} / k_{163}\right)\right) / k_{1}\\
\frac{dx_{37}}{dt} = -1 \cdot k_{1} \cdot k_{162} \cdot \left(x_{37} - x_{36} \cdot x_{19} / k_{163}\right) / k_{1}\\
\frac{dx_{38}}{dt} = -1 \cdot k_{1} \cdot k_{164} \cdot \left(x_{38} - x_{39} \cdot x_{20} / k_{165}\right) / k_{1}\\
\frac{dx_{39}}{dt} = \left(1 \cdot k_{1} \cdot k_{164} \cdot \left(x_{38} - x_{39} \cdot x_{20} / k_{165}\right) + 1 \cdot k_{1} \cdot k_{166} \cdot \left(x_{40} - x_{39} \cdot x_{19} / k_{167}\right)\right) / k_{1}\\
\frac{dx_{40}}{dt} = -1 \cdot k_{1} \cdot k_{166} \cdot \left(x_{40} - x_{39} \cdot x_{19} / k_{167}\right) / k_{1}\\
\frac{dx_{41}}{dt} = 0\\
\frac{dx_{42}}{dt} = 0\\
\frac{dx_{43}}{dt} = 0\\
\frac{dx_{44}}{dt} = 0\\
\frac{dx_{45}}{dt} = 0