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