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