\frac{dx_{1}}{dt} = 0\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{31} \cdot x_{11} \cdot \left(1 - x_{2} / \left(k_{32} \cdot x_{11}\right)\right) / \left(k_{33} \cdot \left(1 + x_{11} / k_{33} + x_{2} / k_{34}\right)\right) + -1 \cdot k_{43} \cdot x_{2} \cdot \left(1 - x_{47} / \left(k_{44} \cdot x_{2}\right)\right) / \left(k_{45} \cdot \left(1 + x_{2} / k_{45} + x_{47} / k_{46}\right)\right)\right) / k_{1}\\
\frac{dx_{3}}{dt} = \left(-1 \cdot k_{72} \cdot x_{3} \cdot x_{6} \cdot \left(1 - x_{13} \cdot x_{8} / \left(k_{73} \cdot x_{3} \cdot x_{6}\right)\right) / \left(k_{74} \cdot k_{75} \cdot \left(1 + x_{3} / k_{74} + x_{13} / k_{76}\right) \cdot \left(1 + x_{6} / k_{75} + x_{8} / k_{77} + x_{30} / k_{78} + x_{9} / k_{79}\right)\right) + 1 \cdot \left(k_{101} \cdot x_{4} - k_{102} \cdot x_{3}\right)\right) / k_{2}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot k_{91} \cdot x_{4} \cdot x_{18} \cdot \left(1 - k_{186} \cdot x_{10} / \left(k_{92} \cdot x_{4} \cdot x_{18}\right)\right) / \left(k_{93} \cdot k_{94} \cdot \left(1 + x_{4} / k_{93} + k_{186} / k_{95}\right) \cdot \left(1 + x_{18} / k_{94} + x_{10} / k_{96} + x_{28} / k_{97} + x_{25} / k_{98}\right)\right) + -1 \cdot \left(k_{101} \cdot x_{4} - k_{102} \cdot x_{3}\right) + 1 \cdot k_{108} \cdot \left(k_{185} - x_{4}\right) / \left(k_{109} + k_{185} + x_{4} + k_{110} \cdot k_{185} \cdot x_{4} / k_{109}\right)\right) / k_{1}\\
\frac{dx_{5}}{dt} = \left(-1 \cdot \left(x_{43} \cdot k_{100} \cdot x_{5} - x_{42} \cdot k_{100} \cdot x_{7}\right) + 1 \cdot k_{183} \cdot x_{42} / \left(k_{184} \cdot \left(1 + x_{42} / k_{184}\right)\right)\right) / k_{1}\\
\frac{dx_{6}}{dt} = \left(-1 \cdot k_{17} \cdot k_{18} \cdot x_{13} \cdot x_{6} \cdot \left(1 - x_{37} \cdot x_{8} / \left(k_{21} \cdot x_{13} \cdot x_{6}\right)\right) / \left(k_{19} \cdot k_{20} \cdot \left(x_{37} + k_{18}\right) \cdot \left(k_{22} / k_{20} + x_{13} / k_{19} + x_{6} / k_{20} + x_{8} / k_{23} + x_{37} \cdot x_{8} / \left(k_{23} \cdot k_{24}\right) + x_{13} \cdot x_{6} / \left(k_{19} \cdot k_{20}\right)\right)\right) + -1 \cdot k_{47} \cdot x_{30} \cdot x_{6} \cdot \left(1 - x_{9} \cdot x_{8} / \left(k_{48} \cdot x_{30} \cdot x_{6}\right)\right) / \left(k_{49} \cdot k_{50} \cdot \left(1 + x_{30} / k_{49} + x_{9} / k_{51}\right) \cdot \left(1 + x_{6} / k_{50} + x_{8} / k_{52} + x_{3} / k_{53} + x_{13} / k_{54}\right)\right) + 1 \cdot k_{55} \cdot x_{29} \cdot x_{8} \cdot \left(1 - k_{192} \cdot x_{6} / \left(k_{56} \cdot x_{29} \cdot x_{8}\right)\right) / \left(k_{57} \cdot k_{58} \cdot \left(1 + x_{29} / k_{57} + k_{192} / k_{59}\right) \cdot \left(1 + x_{8} / k_{58} + x_{6} / k_{60}\right)\right) + -1 \cdot k_{72} \cdot x_{3} \cdot x_{6} \cdot \left(1 - x_{13} \cdot x_{8} / \left(k_{73} \cdot x_{3} \cdot x_{6}\right)\right) / \left(k_{74} \cdot k_{75} \cdot \left(1 + x_{3} / k_{74} + x_{13} / k_{76}\right) \cdot \left(1 + x_{6} / k_{75} + x_{8} / k_{77} + x_{30} / k_{78} + x_{9} / k_{79}\right)\right) + 1 \cdot \left(k_{111} \cdot x_{8}^{2} - x_{48} \cdot x_{6} \cdot k_{112}\right) + 1 \cdot k_{149} \cdot x_{27} \cdot x_{8} \cdot \left(1 - x_{49} \cdot x_{6} / \left(k_{150} \cdot x_{27} \cdot x_{8}\right)\right) / \left(k_{151} \cdot k_{152} \cdot \left(1 + x_{27} / k_{151} + x_{49} / k_{153}\right) \cdot \left(1 + x_{8} / k_{152} + x_{6} / k_{154}\right)\right) + 1 \cdot k_{162} \cdot x_{43} \cdot x_{8} \cdot \left(1 - k_{194} \cdot x_{6} / \left(k_{163} \cdot x_{43} \cdot x_{8}\right)\right) / \left(k_{164} \cdot k_{165} \cdot \left(1 + x_{43} / k_{164} + k_{194} / k_{166}\right) \cdot \left(1 + x_{8} / k_{165} + x_{6} / k_{167}\right)\right)\right) / k_{2}\\
\frac{dx_{7}}{dt} = \left(-1 \cdot k_{4} \cdot x_{7} \cdot \left(1 - x_{38} / \left(k_{5} \cdot x_{7}\right)\right) / \left(k_{6} \cdot \left(1 + x_{7} / k_{6} + x_{38} / k_{7}\right)\right) + 1 \cdot \left(x_{43} \cdot k_{100} \cdot x_{5} - x_{42} \cdot k_{100} \cdot x_{7}\right) + -1 \cdot k_{155} \cdot x_{7} \cdot x_{51} \cdot \left(1 - x_{43} \cdot x_{36} / \left(k_{156} \cdot x_{7} \cdot x_{51}\right)\right) / \left(k_{157} \cdot k_{158} \cdot \left(1 + x_{7} / k_{157} + x_{43} / k_{159}\right) \cdot \left(1 + x_{51} / k_{158} + x_{36} / k_{160}\right)\right) + 1 \cdot k_{168} \cdot x_{37} \cdot \left(1 - x_{38} \cdot x_{7} / \left(x_{37} \cdot k_{173}\right)\right) / \left(k_{169} \cdot \left(1 + x_{6} / k_{170} + x_{8} / k_{171} + x_{48} / k_{172}\right) \cdot \left(1 + x_{38} / k_{174} + x_{7} / k_{175} + x_{37} / \left(k_{169} \cdot \left(1 + x_{6} / k_{170} + x_{8} / k_{171} + x_{48} / k_{172}\right)\right) + x_{38} \cdot x_{7} / \left(k_{174} \cdot k_{175}\right) + x_{37} \cdot x_{38} / \left(k_{169} \cdot k_{176} \cdot \left(1 + x_{6} / k_{170} + x_{8} / k_{171} + x_{48} / k_{172}\right)\right)\right)\right)\right) / k_{2}\\
\frac{dx_{8}}{dt} = \left(1 \cdot k_{17} \cdot k_{18} \cdot x_{13} \cdot x_{6} \cdot \left(1 - x_{37} \cdot x_{8} / \left(k_{21} \cdot x_{13} \cdot x_{6}\right)\right) / \left(k_{19} \cdot k_{20} \cdot \left(x_{37} + k_{18}\right) \cdot \left(k_{22} / k_{20} + x_{13} / k_{19} + x_{6} / k_{20} + x_{8} / k_{23} + x_{37} \cdot x_{8} / \left(k_{23} \cdot k_{24}\right) + x_{13} \cdot x_{6} / \left(k_{19} \cdot k_{20}\right)\right)\right) + 1 \cdot k_{47} \cdot x_{30} \cdot x_{6} \cdot \left(1 - x_{9} \cdot x_{8} / \left(k_{48} \cdot x_{30} \cdot x_{6}\right)\right) / \left(k_{49} \cdot k_{50} \cdot \left(1 + x_{30} / k_{49} + x_{9} / k_{51}\right) \cdot \left(1 + x_{6} / k_{50} + x_{8} / k_{52} + x_{3} / k_{53} + x_{13} / k_{54}\right)\right) + -1 \cdot k_{55} \cdot x_{29} \cdot x_{8} \cdot \left(1 - k_{192} \cdot x_{6} / \left(k_{56} \cdot x_{29} \cdot x_{8}\right)\right) / \left(k_{57} \cdot k_{58} \cdot \left(1 + x_{29} / k_{57} + k_{192} / k_{59}\right) \cdot \left(1 + x_{8} / k_{58} + x_{6} / k_{60}\right)\right) + 1 \cdot k_{72} \cdot x_{3} \cdot x_{6} \cdot \left(1 - x_{13} \cdot x_{8} / \left(k_{73} \cdot x_{3} \cdot x_{6}\right)\right) / \left(k_{74} \cdot k_{75} \cdot \left(1 + x_{3} / k_{74} + x_{13} / k_{76}\right) \cdot \left(1 + x_{6} / k_{75} + x_{8} / k_{77} + x_{30} / k_{78} + x_{9} / k_{79}\right)\right) + -2 \cdot \left(k_{111} \cdot x_{8}^{2} - x_{48} \cdot x_{6} \cdot k_{112}\right) + -1 \cdot k_{149} \cdot x_{27} \cdot x_{8} \cdot \left(1 - x_{49} \cdot x_{6} / \left(k_{150} \cdot x_{27} \cdot x_{8}\right)\right) / \left(k_{151} \cdot k_{152} \cdot \left(1 + x_{27} / k_{151} + x_{49} / k_{153}\right) \cdot \left(1 + x_{8} / k_{152} + x_{6} / k_{154}\right)\right) + -1 \cdot k_{162} \cdot x_{43} \cdot x_{8} \cdot \left(1 - k_{194} \cdot x_{6} / \left(k_{163} \cdot x_{43} \cdot x_{8}\right)\right) / \left(k_{164} \cdot k_{165} \cdot \left(1 + x_{43} / k_{164} + k_{194} / k_{166}\right) \cdot \left(1 + x_{8} / k_{165} + x_{6} / k_{167}\right)\right)\right) / k_{2}\\
\frac{dx_{9}}{dt} = \left(-1 \cdot k_{25} \cdot x_{9} \cdot x_{19} \cdot \left(1 - x_{46} \cdot x_{32} / \left(k_{26} \cdot x_{9} \cdot x_{19}\right)\right) / \left(k_{27} \cdot k_{28} \cdot \left(1 + x_{9} / k_{27} + x_{46} / k_{29}\right) \cdot \left(1 + x_{19} / k_{28} + x_{32} / k_{30}\right)\right) + 1 \cdot k_{47} \cdot x_{30} \cdot x_{6} \cdot \left(1 - x_{9} \cdot x_{8} / \left(k_{48} \cdot x_{30} \cdot x_{6}\right)\right) / \left(k_{49} \cdot k_{50} \cdot \left(1 + x_{30} / k_{49} + x_{9} / k_{51}\right) \cdot \left(1 + x_{6} / k_{50} + x_{8} / k_{52} + x_{3} / k_{53} + x_{13} / k_{54}\right)\right) + -1 \cdot k_{86} \cdot x_{9} \cdot \left(1 - x_{13} / \left(k_{88} \cdot x_{9}\right)\right) / \left(k_{87} \cdot \left(1 + x_{9} / k_{87} + x_{13} / k_{89} + x_{20} / k_{90}\right)\right)\right) / k_{2}\\
\frac{dx_{10}}{dt} = \left(-1 \cdot k_{8} \cdot x_{10} \cdot \left(1 - x_{34} \cdot x_{18} / \left(k_{14} \cdot x_{47} \cdot x_{10}\right)\right) \cdot x_{47} / \left(k_{9} \cdot \left(1 + x_{10} / k_{11} + x_{18} / k_{10}\right)\right)^{k_{12}} / \left(k_{13} \cdot \left(1 + x_{47} / \left(k_{9} \cdot \left(1 + x_{10} / k_{11} + x_{18} / k_{10}\right)\right)^{k_{12}} + x_{34} / k_{15}\right) \cdot \left(1 + x_{10} / k_{13} + x_{18} / k_{16}\right)\right) + 1 \cdot k_{63} \cdot x_{28} \cdot x_{18} \cdot \left(1 - x_{25} \cdot x_{10} / \left(k_{64} \cdot x_{28} \cdot x_{18}\right)\right) / \left(k_{65} \cdot k_{66} \cdot \left(1 + x_{28} / k_{65} + x_{25} / k_{67}\right) \cdot \left(1 + x_{18} / k_{66} + x_{10} / k_{68} + x_{4} / k_{69} + k_{186} / k_{70}\right)\right) + -2 \cdot \left(k_{84} \cdot x_{10}^{2} - x_{50} \cdot x_{18} \cdot k_{85}\right) + 1 \cdot k_{91} \cdot x_{4} \cdot x_{18} \cdot \left(1 - k_{186} \cdot x_{10} / \left(k_{92} \cdot x_{4} \cdot x_{18}\right)\right) / \left(k_{93} \cdot k_{94} \cdot \left(1 + x_{4} / k_{93} + k_{186} / k_{95}\right) \cdot \left(1 + x_{18} / k_{94} + x_{10} / k_{96} + x_{28} / k_{97} + x_{25} / k_{98}\right)\right) + 1 \cdot k_{161} \cdot x_{18} / x_{10}\right) / k_{1}\\
\frac{dx_{11}}{dt} = \left(-1 \cdot k_{31} \cdot x_{11} \cdot \left(1 - x_{2} / \left(k_{32} \cdot x_{11}\right)\right) / \left(k_{33} \cdot \left(1 + x_{11} / k_{33} + x_{2} / k_{34}\right)\right) + 1 \cdot \left(k_{61} \cdot x_{49} - k_{61} \cdot x_{11}\right)\right) / k_{1}\\
\frac{dx_{12}}{dt} = \left(1 \cdot k_{37} \cdot x_{25} \cdot x_{17} \cdot \left(1 - x_{44} \cdot x_{12} / \left(k_{38} \cdot x_{25} \cdot x_{17}\right)\right) / \left(k_{39} \cdot k_{40} \cdot \left(1 + x_{25} / k_{39} + x_{44} / k_{41}\right) \cdot \left(1 + x_{17} / k_{40} + x_{12} / k_{42}\right)\right) + -1 \cdot k_{62} \cdot x_{12} + 1 \cdot k_{113} \cdot x_{23} \cdot x_{17} \cdot \left(1 - x_{22} \cdot x_{12} / \left(k_{114} \cdot x_{23} \cdot x_{17}\right)\right) / \left(k_{115} \cdot k_{116} \cdot \left(1 + x_{23} / k_{115} + x_{22} / k_{117}\right) \cdot \left(1 + x_{17} / k_{116} + x_{12} / k_{118}\right)\right) + -1 \cdot k_{143} \cdot x_{45} \cdot x_{12} \cdot \left(1 - x_{40} \cdot x_{17} / \left(k_{144} \cdot x_{45} \cdot x_{12}\right)\right) / \left(k_{145} \cdot k_{146} \cdot \left(1 + x_{45} / k_{145} + x_{40} / k_{147}\right) \cdot \left(1 + x_{12} / k_{146} + x_{17} / k_{148}\right)\right)\right) / k_{1}\\
\frac{dx_{13}}{dt} = \left(-1 \cdot k_{17} \cdot k_{18} \cdot x_{13} \cdot x_{6} \cdot \left(1 - x_{37} \cdot x_{8} / \left(k_{21} \cdot x_{13} \cdot x_{6}\right)\right) / \left(k_{19} \cdot k_{20} \cdot \left(x_{37} + k_{18}\right) \cdot \left(k_{22} / k_{20} + x_{13} / k_{19} + x_{6} / k_{20} + x_{8} / k_{23} + x_{37} \cdot x_{8} / \left(k_{23} \cdot k_{24}\right) + x_{13} \cdot x_{6} / \left(k_{19} \cdot k_{20}\right)\right)\right) + 1 \cdot k_{72} \cdot x_{3} \cdot x_{6} \cdot \left(1 - x_{13} \cdot x_{8} / \left(k_{73} \cdot x_{3} \cdot x_{6}\right)\right) / \left(k_{74} \cdot k_{75} \cdot \left(1 + x_{3} / k_{74} + x_{13} / k_{76}\right) \cdot \left(1 + x_{6} / k_{75} + x_{8} / k_{77} + x_{30} / k_{78} + x_{9} / k_{79}\right)\right) + 1 \cdot k_{86} \cdot x_{9} \cdot \left(1 - x_{13} / \left(k_{88} \cdot x_{9}\right)\right) / \left(k_{87} \cdot \left(1 + x_{9} / k_{87} + x_{13} / k_{89} + x_{20} / k_{90}\right)\right)\right) / k_{2}\\
\frac{dx_{14}}{dt} = 0\\
\frac{dx_{15}}{dt} = 0\\
\frac{dx_{16}}{dt} = 0\\
\frac{dx_{17}}{dt} = \left(-1 \cdot k_{37} \cdot x_{25} \cdot x_{17} \cdot \left(1 - x_{44} \cdot x_{12} / \left(k_{38} \cdot x_{25} \cdot x_{17}\right)\right) / \left(k_{39} \cdot k_{40} \cdot \left(1 + x_{25} / k_{39} + x_{44} / k_{41}\right) \cdot \left(1 + x_{17} / k_{40} + x_{12} / k_{42}\right)\right) + 1 \cdot k_{62} \cdot x_{12} + -1 \cdot k_{113} \cdot x_{23} \cdot x_{17} \cdot \left(1 - x_{22} \cdot x_{12} / \left(k_{114} \cdot x_{23} \cdot x_{17}\right)\right) / \left(k_{115} \cdot k_{116} \cdot \left(1 + x_{23} / k_{115} + x_{22} / k_{117}\right) \cdot \left(1 + x_{17} / k_{116} + x_{12} / k_{118}\right)\right) + 1 \cdot k_{143} \cdot x_{45} \cdot x_{12} \cdot \left(1 - x_{40} \cdot x_{17} / \left(k_{144} \cdot x_{45} \cdot x_{12}\right)\right) / \left(k_{145} \cdot k_{146} \cdot \left(1 + x_{45} / k_{145} + x_{40} / k_{147}\right) \cdot \left(1 + x_{12} / k_{146} + x_{17} / k_{148}\right)\right)\right) / k_{1}\\
\frac{dx_{18}}{dt} = \left(1 \cdot k_{8} \cdot x_{10} \cdot \left(1 - x_{34} \cdot x_{18} / \left(k_{14} \cdot x_{47} \cdot x_{10}\right)\right) \cdot x_{47} / \left(k_{9} \cdot \left(1 + x_{10} / k_{11} + x_{18} / k_{10}\right)\right)^{k_{12}} / \left(k_{13} \cdot \left(1 + x_{47} / \left(k_{9} \cdot \left(1 + x_{10} / k_{11} + x_{18} / k_{10}\right)\right)^{k_{12}} + x_{34} / k_{15}\right) \cdot \left(1 + x_{10} / k_{13} + x_{18} / k_{16}\right)\right) + -1 \cdot k_{63} \cdot x_{28} \cdot x_{18} \cdot \left(1 - x_{25} \cdot x_{10} / \left(k_{64} \cdot x_{28} \cdot x_{18}\right)\right) / \left(k_{65} \cdot k_{66} \cdot \left(1 + x_{28} / k_{65} + x_{25} / k_{67}\right) \cdot \left(1 + x_{18} / k_{66} + x_{10} / k_{68} + x_{4} / k_{69} + k_{186} / k_{70}\right)\right) + 1 \cdot \left(k_{84} \cdot x_{10}^{2} - x_{50} \cdot x_{18} \cdot k_{85}\right) + -1 \cdot k_{91} \cdot x_{4} \cdot x_{18} \cdot \left(1 - k_{186} \cdot x_{10} / \left(k_{92} \cdot x_{4} \cdot x_{18}\right)\right) / \left(k_{93} \cdot k_{94} \cdot \left(1 + x_{4} / k_{93} + k_{186} / k_{95}\right) \cdot \left(1 + x_{18} / k_{94} + x_{10} / k_{96} + x_{28} / k_{97} + x_{25} / k_{98}\right)\right) + -1 \cdot k_{161} \cdot x_{18} / x_{10}\right) / k_{1}\\
\frac{dx_{19}}{dt} = \left(-1 \cdot k_{25} \cdot x_{9} \cdot x_{19} \cdot \left(1 - x_{46} \cdot x_{32} / \left(k_{26} \cdot x_{9} \cdot x_{19}\right)\right) / \left(k_{27} \cdot k_{28} \cdot \left(1 + x_{9} / k_{27} + x_{46} / k_{29}\right) \cdot \left(1 + x_{19} / k_{28} + x_{32} / k_{30}\right)\right) + 1 \cdot k_{71} \cdot x_{32} + -1 \cdot k_{127} \cdot x_{20} \cdot x_{19} \cdot \left(1 - x_{24} \cdot x_{32} / \left(k_{128} \cdot x_{20} \cdot x_{19}\right)\right) / \left(k_{129} \cdot k_{130} \cdot \left(1 + x_{20} / k_{129} + x_{24} / k_{131}\right) \cdot \left(1 + x_{19} / k_{130} + x_{32} / k_{132}\right)\right)\right) / k_{2}\\
\frac{dx_{20}}{dt} = \left(-1 \cdot k_{127} \cdot x_{20} \cdot x_{19} \cdot \left(1 - x_{24} \cdot x_{32} / \left(k_{128} \cdot x_{20} \cdot x_{19}\right)\right) / \left(k_{129} \cdot k_{130} \cdot \left(1 + x_{20} / k_{129} + x_{24} / k_{131}\right) \cdot \left(1 + x_{19} / k_{130} + x_{32} / k_{132}\right)\right) + 1 \cdot \left(k_{2} \cdot k_{142} \cdot \left(x_{46} - x_{20} / k_{139}\right) + k_{138} \cdot x_{46} \cdot \left(1 - x_{20} / \left(k_{139} \cdot x_{46}\right)\right) / \left(k_{140} \cdot \left(1 + x_{46} / k_{140} + x_{20} / k_{141}\right)\right)\right)\right) / k_{2}\\
\frac{dx_{21}}{dt} = 0\\
\frac{dx_{22}}{dt} = \left(1 \cdot k_{113} \cdot x_{23} \cdot x_{17} \cdot \left(1 - x_{22} \cdot x_{12} / \left(k_{114} \cdot x_{23} \cdot x_{17}\right)\right) / \left(k_{115} \cdot k_{116} \cdot \left(1 + x_{23} / k_{115} + x_{22} / k_{117}\right) \cdot \left(1 + x_{17} / k_{116} + x_{12} / k_{118}\right)\right) + -1 \cdot k_{119} \cdot x_{22} \cdot \left(1 - k_{190} / \left(k_{120} \cdot x_{22}\right)\right) / \left(k_{121} \cdot \left(1 + x_{22} / k_{121} + k_{190} / k_{122}\right)\right)\right) / k_{1}\\
\frac{dx_{23}}{dt} = \left(1 \cdot \left(k_{107} \cdot k_{1} \cdot \left(x_{44} - x_{23} / k_{104}\right) + k_{103} \cdot x_{44} \cdot \left(1 - x_{23} / \left(k_{104} \cdot x_{44}\right)\right) / \left(k_{105} \cdot \left(1 + x_{44} / k_{105} + x_{23} / k_{106}\right)\right)\right) + -1 \cdot k_{113} \cdot x_{23} \cdot x_{17} \cdot \left(1 - x_{22} \cdot x_{12} / \left(k_{114} \cdot x_{23} \cdot x_{17}\right)\right) / \left(k_{115} \cdot k_{116} \cdot \left(1 + x_{23} / k_{115} + x_{22} / k_{117}\right) \cdot \left(1 + x_{17} / k_{116} + x_{12} / k_{118}\right)\right)\right) / k_{1}\\
\frac{dx_{24}}{dt} = \left(-1 \cdot k_{123} \cdot x_{24} \cdot \left(1 - x_{29} / \left(k_{124} \cdot x_{24}\right)\right) / \left(k_{125} \cdot \left(1 + x_{24} / k_{125} + x_{29} / k_{126}\right)\right) + 1 \cdot k_{127} \cdot x_{20} \cdot x_{19} \cdot \left(1 - x_{24} \cdot x_{32} / \left(k_{128} \cdot x_{20} \cdot x_{19}\right)\right) / \left(k_{129} \cdot k_{130} \cdot \left(1 + x_{20} / k_{129} + x_{24} / k_{131}\right) \cdot \left(1 + x_{19} / k_{130} + x_{32} / k_{132}\right)\right)\right) / k_{2}\\
\frac{dx_{25}}{dt} = \left(-1 \cdot k_{37} \cdot x_{25} \cdot x_{17} \cdot \left(1 - x_{44} \cdot x_{12} / \left(k_{38} \cdot x_{25} \cdot x_{17}\right)\right) / \left(k_{39} \cdot k_{40} \cdot \left(1 + x_{25} / k_{39} + x_{44} / k_{41}\right) \cdot \left(1 + x_{17} / k_{40} + x_{12} / k_{42}\right)\right) + 1 \cdot k_{63} \cdot x_{28} \cdot x_{18} \cdot \left(1 - x_{25} \cdot x_{10} / \left(k_{64} \cdot x_{28} \cdot x_{18}\right)\right) / \left(k_{65} \cdot k_{66} \cdot \left(1 + x_{28} / k_{65} + x_{25} / k_{67}\right) \cdot \left(1 + x_{18} / k_{66} + x_{10} / k_{68} + x_{4} / k_{69} + k_{186} / k_{70}\right)\right) + -1 \cdot k_{80} \cdot x_{25} \cdot \left(1 - x_{28} / \left(k_{81} \cdot x_{25}\right)\right) / \left(k_{82} \cdot \left(1 + x_{25} / k_{82} + x_{28} / k_{83}\right)\right)\right) / k_{1}\\
\frac{dx_{26}}{dt} = 0\\
\frac{dx_{27}}{dt} = \left(-1 \cdot k_{149} \cdot x_{27} \cdot x_{8} \cdot \left(1 - x_{49} \cdot x_{6} / \left(k_{150} \cdot x_{27} \cdot x_{8}\right)\right) / \left(k_{151} \cdot k_{152} \cdot \left(1 + x_{27} / k_{151} + x_{49} / k_{153}\right) \cdot \left(1 + x_{8} / k_{152} + x_{6} / k_{154}\right)\right) + 1 \cdot k_{177} \cdot x_{38} \cdot x_{36} \cdot \left(1 - x_{27} \cdot x_{51} / \left(k_{178} \cdot x_{38} \cdot x_{36}\right)\right) / \left(k_{179} \cdot k_{180} \cdot \left(1 + x_{38} / k_{179} + x_{27} / k_{181}\right) \cdot \left(1 + x_{36} / k_{180} + x_{51} / k_{182}\right)\right)\right) / k_{2}\\
\frac{dx_{28}}{dt} = \left(-1 \cdot k_{63} \cdot x_{28} \cdot x_{18} \cdot \left(1 - x_{25} \cdot x_{10} / \left(k_{64} \cdot x_{28} \cdot x_{18}\right)\right) / \left(k_{65} \cdot k_{66} \cdot \left(1 + x_{28} / k_{65} + x_{25} / k_{67}\right) \cdot \left(1 + x_{18} / k_{66} + x_{10} / k_{68} + x_{4} / k_{69} + k_{186} / k_{70}\right)\right) + 1 \cdot k_{80} \cdot x_{25} \cdot \left(1 - x_{28} / \left(k_{81} \cdot x_{25}\right)\right) / \left(k_{82} \cdot \left(1 + x_{25} / k_{82} + x_{28} / k_{83}\right)\right) + -1 \cdot \left(k_{133} \cdot x_{28} - k_{134} \cdot x_{30}\right) + 1 \cdot k_{135} \cdot \left(k_{191} - x_{28}\right) / \left(k_{136} + k_{191} + x_{28} + k_{137} \cdot k_{191} \cdot x_{28} / k_{136}\right)\right) / k_{1}\\
\frac{dx_{29}}{dt} = \left(-1 \cdot k_{55} \cdot x_{29} \cdot x_{8} \cdot \left(1 - k_{192} \cdot x_{6} / \left(k_{56} \cdot x_{29} \cdot x_{8}\right)\right) / \left(k_{57} \cdot k_{58} \cdot \left(1 + x_{29} / k_{57} + k_{192} / k_{59}\right) \cdot \left(1 + x_{8} / k_{58} + x_{6} / k_{60}\right)\right) + 1 \cdot k_{123} \cdot x_{24} \cdot \left(1 - x_{29} / \left(k_{124} \cdot x_{24}\right)\right) / \left(k_{125} \cdot \left(1 + x_{24} / k_{125} + x_{29} / k_{126}\right)\right)\right) / k_{2}\\
\frac{dx_{30}}{dt} = \left(-1 \cdot k_{47} \cdot x_{30} \cdot x_{6} \cdot \left(1 - x_{9} \cdot x_{8} / \left(k_{48} \cdot x_{30} \cdot x_{6}\right)\right) / \left(k_{49} \cdot k_{50} \cdot \left(1 + x_{30} / k_{49} + x_{9} / k_{51}\right) \cdot \left(1 + x_{6} / k_{50} + x_{8} / k_{52} + x_{3} / k_{53} + x_{13} / k_{54}\right)\right) + 1 \cdot \left(k_{133} \cdot x_{28} - k_{134} \cdot x_{30}\right)\right) / k_{2}\\
\frac{dx_{31}}{dt} = 0\\
\frac{dx_{32}}{dt} = \left(1 \cdot k_{25} \cdot x_{9} \cdot x_{19} \cdot \left(1 - x_{46} \cdot x_{32} / \left(k_{26} \cdot x_{9} \cdot x_{19}\right)\right) / \left(k_{27} \cdot k_{28} \cdot \left(1 + x_{9} / k_{27} + x_{46} / k_{29}\right) \cdot \left(1 + x_{19} / k_{28} + x_{32} / k_{30}\right)\right) + -1 \cdot k_{71} \cdot x_{32} + 1 \cdot k_{127} \cdot x_{20} \cdot x_{19} \cdot \left(1 - x_{24} \cdot x_{32} / \left(k_{128} \cdot x_{20} \cdot x_{19}\right)\right) / \left(k_{129} \cdot k_{130} \cdot \left(1 + x_{20} / k_{129} + x_{24} / k_{131}\right) \cdot \left(1 + x_{19} / k_{130} + x_{32} / k_{132}\right)\right)\right) / k_{2}\\
\frac{dx_{33}}{dt} = 0\\
\frac{dx_{34}}{dt} = \left(1 \cdot k_{8} \cdot x_{10} \cdot \left(1 - x_{34} \cdot x_{18} / \left(k_{14} \cdot x_{47} \cdot x_{10}\right)\right) \cdot x_{47} / \left(k_{9} \cdot \left(1 + x_{10} / k_{11} + x_{18} / k_{10}\right)\right)^{k_{12}} / \left(k_{13} \cdot \left(1 + x_{47} / \left(k_{9} \cdot \left(1 + x_{10} / k_{11} + x_{18} / k_{10}\right)\right)^{k_{12}} + x_{34} / k_{15}\right) \cdot \left(1 + x_{10} / k_{13} + x_{18} / k_{16}\right)\right) + -1 \cdot k_{35} \cdot x_{34} / \left(k_{36} \cdot \left(1 + x_{34} / k_{36}\right)\right)\right) / k_{1}\\
\frac{dx_{35}}{dt} = 0\\
\frac{dx_{36}}{dt} = \left(1 \cdot k_{155} \cdot x_{7} \cdot x_{51} \cdot \left(1 - x_{43} \cdot x_{36} / \left(k_{156} \cdot x_{7} \cdot x_{51}\right)\right) / \left(k_{157} \cdot k_{158} \cdot \left(1 + x_{7} / k_{157} + x_{43} / k_{159}\right) \cdot \left(1 + x_{51} / k_{158} + x_{36} / k_{160}\right)\right) + -1 \cdot k_{177} \cdot x_{38} \cdot x_{36} \cdot \left(1 - x_{27} \cdot x_{51} / \left(k_{178} \cdot x_{38} \cdot x_{36}\right)\right) / \left(k_{179} \cdot k_{180} \cdot \left(1 + x_{38} / k_{179} + x_{27} / k_{181}\right) \cdot \left(1 + x_{36} / k_{180} + x_{51} / k_{182}\right)\right)\right) / k_{2}\\
\frac{dx_{37}}{dt} = \left(1 \cdot k_{17} \cdot k_{18} \cdot x_{13} \cdot x_{6} \cdot \left(1 - x_{37} \cdot x_{8} / \left(k_{21} \cdot x_{13} \cdot x_{6}\right)\right) / \left(k_{19} \cdot k_{20} \cdot \left(x_{37} + k_{18}\right) \cdot \left(k_{22} / k_{20} + x_{13} / k_{19} + x_{6} / k_{20} + x_{8} / k_{23} + x_{37} \cdot x_{8} / \left(k_{23} \cdot k_{24}\right) + x_{13} \cdot x_{6} / \left(k_{19} \cdot k_{20}\right)\right)\right) + -1 \cdot k_{168} \cdot x_{37} \cdot \left(1 - x_{38} \cdot x_{7} / \left(x_{37} \cdot k_{173}\right)\right) / \left(k_{169} \cdot \left(1 + x_{6} / k_{170} + x_{8} / k_{171} + x_{48} / k_{172}\right) \cdot \left(1 + x_{38} / k_{174} + x_{7} / k_{175} + x_{37} / \left(k_{169} \cdot \left(1 + x_{6} / k_{170} + x_{8} / k_{171} + x_{48} / k_{172}\right)\right) + x_{38} \cdot x_{7} / \left(k_{174} \cdot k_{175}\right) + x_{37} \cdot x_{38} / \left(k_{169} \cdot k_{176} \cdot \left(1 + x_{6} / k_{170} + x_{8} / k_{171} + x_{48} / k_{172}\right)\right)\right)\right)\right) / k_{2}\\
\frac{dx_{38}}{dt} = \left(1 \cdot k_{4} \cdot x_{7} \cdot \left(1 - x_{38} / \left(k_{5} \cdot x_{7}\right)\right) / \left(k_{6} \cdot \left(1 + x_{7} / k_{6} + x_{38} / k_{7}\right)\right) + 1 \cdot k_{168} \cdot x_{37} \cdot \left(1 - x_{38} \cdot x_{7} / \left(x_{37} \cdot k_{173}\right)\right) / \left(k_{169} \cdot \left(1 + x_{6} / k_{170} + x_{8} / k_{171} + x_{48} / k_{172}\right) \cdot \left(1 + x_{38} / k_{174} + x_{7} / k_{175} + x_{37} / \left(k_{169} \cdot \left(1 + x_{6} / k_{170} + x_{8} / k_{171} + x_{48} / k_{172}\right)\right) + x_{38} \cdot x_{7} / \left(k_{174} \cdot k_{175}\right) + x_{37} \cdot x_{38} / \left(k_{169} \cdot k_{176} \cdot \left(1 + x_{6} / k_{170} + x_{8} / k_{171} + x_{48} / k_{172}\right)\right)\right)\right) + -1 \cdot k_{177} \cdot x_{38} \cdot x_{36} \cdot \left(1 - x_{27} \cdot x_{51} / \left(k_{178} \cdot x_{38} \cdot x_{36}\right)\right) / \left(k_{179} \cdot k_{180} \cdot \left(1 + x_{38} / k_{179} + x_{27} / k_{181}\right) \cdot \left(1 + x_{36} / k_{180} + x_{51} / k_{182}\right)\right)\right) / k_{2}\\
\frac{dx_{39}}{dt} = 0\\
\frac{dx_{40}}{dt} = \left(-1 \cdot k_{99} \cdot x_{40} + 1 \cdot k_{143} \cdot x_{45} \cdot x_{12} \cdot \left(1 - x_{40} \cdot x_{17} / \left(k_{144} \cdot x_{45} \cdot x_{12}\right)\right) / \left(k_{145} \cdot k_{146} \cdot \left(1 + x_{45} / k_{145} + x_{40} / k_{147}\right) \cdot \left(1 + x_{12} / k_{146} + x_{17} / k_{148}\right)\right)\right) / k_{1}\\
\frac{dx_{41}}{dt} = 0\\
\frac{dx_{42}}{dt} = \left(1 \cdot \left(x_{43} \cdot k_{100} \cdot x_{5} - x_{42} \cdot k_{100} \cdot x_{7}\right) + -1 \cdot k_{183} \cdot x_{42} / \left(k_{184} \cdot \left(1 + x_{42} / k_{184}\right)\right)\right) / k_{1}\\
\frac{dx_{43}}{dt} = \left(-1 \cdot \left(x_{43} \cdot k_{100} \cdot x_{5} - x_{42} \cdot k_{100} \cdot x_{7}\right) + 1 \cdot k_{155} \cdot x_{7} \cdot x_{51} \cdot \left(1 - x_{43} \cdot x_{36} / \left(k_{156} \cdot x_{7} \cdot x_{51}\right)\right) / \left(k_{157} \cdot k_{158} \cdot \left(1 + x_{7} / k_{157} + x_{43} / k_{159}\right) \cdot \left(1 + x_{51} / k_{158} + x_{36} / k_{160}\right)\right) + -1 \cdot k_{162} \cdot x_{43} \cdot x_{8} \cdot \left(1 - k_{194} \cdot x_{6} / \left(k_{163} \cdot x_{43} \cdot x_{8}\right)\right) / \left(k_{164} \cdot k_{165} \cdot \left(1 + x_{43} / k_{164} + k_{194} / k_{166}\right) \cdot \left(1 + x_{8} / k_{165} + x_{6} / k_{167}\right)\right)\right) / k_{2}\\
\frac{dx_{44}}{dt} = \left(1 \cdot k_{37} \cdot x_{25} \cdot x_{17} \cdot \left(1 - x_{44} \cdot x_{12} / \left(k_{38} \cdot x_{25} \cdot x_{17}\right)\right) / \left(k_{39} \cdot k_{40} \cdot \left(1 + x_{25} / k_{39} + x_{44} / k_{41}\right) \cdot \left(1 + x_{17} / k_{40} + x_{12} / k_{42}\right)\right) + -1 \cdot \left(k_{107} \cdot k_{1} \cdot \left(x_{44} - x_{23} / k_{104}\right) + k_{103} \cdot x_{44} \cdot \left(1 - x_{23} / \left(k_{104} \cdot x_{44}\right)\right) / \left(k_{105} \cdot \left(1 + x_{44} / k_{105} + x_{23} / k_{106}\right)\right)\right)\right) / k_{1}\\
\frac{dx_{45}}{dt} = \left(1 \cdot k_{99} \cdot x_{40} + -1 \cdot k_{143} \cdot x_{45} \cdot x_{12} \cdot \left(1 - x_{40} \cdot x_{17} / \left(k_{144} \cdot x_{45} \cdot x_{12}\right)\right) / \left(k_{145} \cdot k_{146} \cdot \left(1 + x_{45} / k_{145} + x_{40} / k_{147}\right) \cdot \left(1 + x_{12} / k_{146} + x_{17} / k_{148}\right)\right)\right) / k_{1}\\
\frac{dx_{46}}{dt} = \left(1 \cdot k_{25} \cdot x_{9} \cdot x_{19} \cdot \left(1 - x_{46} \cdot x_{32} / \left(k_{26} \cdot x_{9} \cdot x_{19}\right)\right) / \left(k_{27} \cdot k_{28} \cdot \left(1 + x_{9} / k_{27} + x_{46} / k_{29}\right) \cdot \left(1 + x_{19} / k_{28} + x_{32} / k_{30}\right)\right) + -1 \cdot \left(k_{2} \cdot k_{142} \cdot \left(x_{46} - x_{20} / k_{139}\right) + k_{138} \cdot x_{46} \cdot \left(1 - x_{20} / \left(k_{139} \cdot x_{46}\right)\right) / \left(k_{140} \cdot \left(1 + x_{46} / k_{140} + x_{20} / k_{141}\right)\right)\right)\right) / k_{2}\\
\frac{dx_{47}}{dt} = \left(-1 \cdot k_{8} \cdot x_{10} \cdot \left(1 - x_{34} \cdot x_{18} / \left(k_{14} \cdot x_{47} \cdot x_{10}\right)\right) \cdot x_{47} / \left(k_{9} \cdot \left(1 + x_{10} / k_{11} + x_{18} / k_{10}\right)\right)^{k_{12}} / \left(k_{13} \cdot \left(1 + x_{47} / \left(k_{9} \cdot \left(1 + x_{10} / k_{11} + x_{18} / k_{10}\right)\right)^{k_{12}} + x_{34} / k_{15}\right) \cdot \left(1 + x_{10} / k_{13} + x_{18} / k_{16}\right)\right) + 1 \cdot k_{43} \cdot x_{2} \cdot \left(1 - x_{47} / \left(k_{44} \cdot x_{2}\right)\right) / \left(k_{45} \cdot \left(1 + x_{2} / k_{45} + x_{47} / k_{46}\right)\right)\right) / k_{1}\\
\frac{dx_{48}}{dt} = 1 \cdot \left(k_{111} \cdot x_{8}^{2} - x_{48} \cdot x_{6} \cdot k_{112}\right) / k_{2}\\
\frac{dx_{49}}{dt} = \left(-1 \cdot \left(k_{61} \cdot x_{49} - k_{61} \cdot x_{11}\right) + 1 \cdot k_{149} \cdot x_{27} \cdot x_{8} \cdot \left(1 - x_{49} \cdot x_{6} / \left(k_{150} \cdot x_{27} \cdot x_{8}\right)\right) / \left(k_{151} \cdot k_{152} \cdot \left(1 + x_{27} / k_{151} + x_{49} / k_{153}\right) \cdot \left(1 + x_{8} / k_{152} + x_{6} / k_{154}\right)\right)\right) / k_{2}\\
\frac{dx_{50}}{dt} = 1 \cdot \left(k_{84} \cdot x_{10}^{2} - x_{50} \cdot x_{18} \cdot k_{85}\right) / k_{1}\\
\frac{dx_{51}}{dt} = \left(-1 \cdot k_{155} \cdot x_{7} \cdot x_{51} \cdot \left(1 - x_{43} \cdot x_{36} / \left(k_{156} \cdot x_{7} \cdot x_{51}\right)\right) / \left(k_{157} \cdot k_{158} \cdot \left(1 + x_{7} / k_{157} + x_{43} / k_{159}\right) \cdot \left(1 + x_{51} / k_{158} + x_{36} / k_{160}\right)\right) + 1 \cdot k_{177} \cdot x_{38} \cdot x_{36} \cdot \left(1 - x_{27} \cdot x_{51} / \left(k_{178} \cdot x_{38} \cdot x_{36}\right)\right) / \left(k_{179} \cdot k_{180} \cdot \left(1 + x_{38} / k_{179} + x_{27} / k_{181}\right) \cdot \left(1 + x_{36} / k_{180} + x_{51} / k_{182}\right)\right)\right) / k_{2}