\frac{dx_{1}}{dt} = \left(1 \cdot k_{4} \cdot x_{4} + -1 \cdot k_{6} \cdot x_{1} + -1 \cdot \left(k_{25} \cdot x_{1} \cdot x_{2} - k_{26} \cdot x_{3}\right)\right) / k_{2}\\
\frac{dx_{2}}{dt} = -1 \cdot \left(k_{25} \cdot x_{1} \cdot x_{2} - k_{26} \cdot x_{3}\right) / k_{2}\\
\frac{dx_{3}}{dt} = \left(-1 \cdot k_{15} \cdot x_{3} + 1 \cdot \left(k_{25} \cdot x_{1} \cdot x_{2} - k_{26} \cdot x_{3}\right) + -1 \cdot k_{27} \cdot x_{3} \cdot x_{6}\right) / k_{2}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot k_{4} \cdot x_{4} + 1 \cdot k_{5}\right) / k_{1}\\
\frac{dx_{5}}{dt} = \left(1 \cdot \left(k_{7} - k_{8} \cdot x_{5}\right) + -1 \cdot k_{28} \cdot x_{5} \cdot x_{7} \cdot x_{9} + 1 \cdot k_{30} \cdot x_{11} + -1 \cdot k_{41} \cdot x_{5} \cdot x_{7} \cdot x_{20} + -1 \cdot k_{105} \cdot x_{5} \cdot x_{42}\right) / k_{1}\\
\frac{dx_{6}}{dt} = \left(1 \cdot \left(k_{9} - k_{10} \cdot x_{6}\right) + -1 \cdot k_{27} \cdot x_{3} \cdot x_{6}\right) / k_{1}\\
\frac{dx_{7}}{dt} = \left(1 \cdot \left(k_{11} - k_{12} \cdot x_{7}\right) + -1 \cdot k_{28} \cdot x_{5} \cdot x_{7} \cdot x_{9} + 1 \cdot k_{30} \cdot x_{11} + -1 \cdot k_{41} \cdot x_{5} \cdot x_{7} \cdot x_{20} + 1 \cdot k_{66} \cdot x_{10} \cdot x_{24}\right) / k_{1}\\
\frac{dx_{8}}{dt} = \left(1 \cdot \left(k_{13} - k_{14} \cdot x_{8}\right) + -2 \cdot k_{31} \cdot x_{8}^{2} \cdot x_{12}\right) / k_{1}\\
\frac{dx_{9}}{dt} = \left(-1 \cdot k_{16} \cdot x_{9} + 1 \cdot k_{27} \cdot x_{3} \cdot x_{6} + -1 \cdot k_{28} \cdot x_{5} \cdot x_{7} \cdot x_{9} + 1 \cdot k_{66} \cdot x_{10} \cdot x_{24}\right) / k_{1}\\
\frac{dx_{10}}{dt} = \left(-1 \cdot k_{17} \cdot x_{10} + 1 \cdot k_{28} \cdot x_{5} \cdot x_{7} \cdot x_{9} + -1 \cdot k_{29} \cdot x_{10} + -1 \cdot k_{66} \cdot x_{10} \cdot x_{24}\right) / k_{1}\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{29} \cdot x_{10} + -1 \cdot k_{30} \cdot x_{11}\right) / k_{1}\\
\frac{dx_{12}}{dt} = \left(1 \cdot k_{30} \cdot x_{11} + -1 \cdot k_{31} \cdot x_{8}^{2} \cdot x_{12}\right) / k_{1}\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{31} \cdot x_{8}^{2} \cdot x_{12} + -1 \cdot k_{32} \cdot x_{13}\right) / k_{1}\\
\frac{dx_{14}}{dt} = \left(-1 \cdot k_{18} \cdot x_{14} + 1 \cdot k_{32} \cdot x_{13} + -1 \cdot k_{33} \cdot x_{14} \cdot x_{15} + -1 \cdot k_{35} \cdot x_{14} \cdot x_{38} + 1 \cdot k_{37} \cdot x_{19} + 1 \cdot k_{40} \cdot x_{20}\right) / k_{1}\\
\frac{dx_{15}}{dt} = \left(-1 \cdot k_{33} \cdot x_{14} \cdot x_{15} + -1 \cdot k_{34} \cdot x_{15} \cdot x_{16} + -1 \cdot k_{38} \cdot x_{15} \cdot x_{17} + 1 \cdot \left(k_{47} - k_{48} \cdot x_{15}\right) + 1 \cdot k_{81} \cdot x_{35} + -1 \cdot k_{106} \cdot x_{15} \cdot x_{42}\right) / k_{1}\\
\frac{dx_{16}}{dt} = \left(-1 \cdot k_{19} \cdot x_{16} + 1 \cdot k_{33} \cdot x_{14} \cdot x_{15} + -1 \cdot k_{34} \cdot x_{15} \cdot x_{16} + -1 \cdot k_{39} \cdot x_{16} \cdot x_{38}\right) / k_{1}\\
\frac{dx_{17}}{dt} = \left(-1 \cdot k_{21} \cdot x_{17} + 1 \cdot k_{35} \cdot x_{14} \cdot x_{38} + -1 \cdot k_{36} \cdot x_{17} \cdot x_{38} + -1 \cdot k_{38} \cdot x_{15} \cdot x_{17}\right) / k_{1}\\
\frac{dx_{18}}{dt} = \left(-1 \cdot k_{20} \cdot x_{18} + 1 \cdot k_{34} \cdot x_{15} \cdot x_{16}\right) / k_{1}\\
\frac{dx_{19}}{dt} = \left(-1 \cdot k_{22} \cdot x_{19} + 1 \cdot k_{36} \cdot x_{17} \cdot x_{38} + -1 \cdot k_{37} \cdot x_{19}\right) / k_{1}\\
\frac{dx_{20}}{dt} = \left(-1 \cdot k_{23} \cdot x_{20} + 1 \cdot k_{38} \cdot x_{15} \cdot x_{17} + 1 \cdot k_{39} \cdot x_{16} \cdot x_{38} + -1 \cdot k_{40} \cdot x_{20} + -1 \cdot k_{41} \cdot x_{5} \cdot x_{7} \cdot x_{20}\right) / k_{1}\\
\frac{dx_{21}}{dt} = \left(-1 \cdot k_{24} \cdot x_{21} + 1 \cdot k_{41} \cdot x_{5} \cdot x_{7} \cdot x_{20}\right) / k_{1}\\
\frac{dx_{22}}{dt} = \left(-1 \cdot k_{42} \cdot x_{21} \cdot x_{22} + 1 \cdot \left(k_{43} - k_{44} \cdot x_{22}\right) + -1 \cdot k_{64} \cdot x_{10} \cdot x_{22} + 1 \cdot k_{65} \cdot x_{23}\right) / k_{1}\\
\frac{dx_{23}}{dt} = \left(1 \cdot k_{42} \cdot x_{21} \cdot x_{22} + -1 \cdot k_{53} \cdot x_{23} + 1 \cdot k_{64} \cdot x_{10} \cdot x_{22} + -1 \cdot k_{65} \cdot x_{23}\right) / k_{1}\\
\frac{dx_{24}}{dt} = \left(1 \cdot \left(k_{51} - k_{52} \cdot x_{24}\right) + 1 \cdot k_{77} \cdot x_{32}\right) / k_{1}\\
\frac{dx_{25}}{dt} = \left(1 \cdot \left(k_{45} - k_{46} \cdot x_{25}\right) + -1 \cdot k_{67} \cdot x_{25} \cdot x_{26} + 1 \cdot k_{68} \cdot x_{23} \cdot x_{27} + -1 \cdot k_{69} \cdot x_{25}\right) / k_{1}\\
\frac{dx_{26}}{dt} = \left(-1 \cdot k_{57} \cdot x_{26} + -1 \cdot k_{67} \cdot x_{25} \cdot x_{26} + 1 \cdot k_{71} \cdot x_{33} + -1 \cdot \left(k_{72} \cdot x_{26} - k_{73} \cdot x_{30}\right)\right) / k_{1}\\
\frac{dx_{27}}{dt} = \left(-1 \cdot k_{54} \cdot x_{27} + 1 \cdot k_{67} \cdot x_{25} \cdot x_{26} + -1 \cdot k_{68} \cdot x_{23} \cdot x_{27} + 1 \cdot k_{75} \cdot x_{31}\right) / k_{1}\\
\frac{dx_{28}}{dt} = \left(-1 \cdot k_{60} \cdot x_{28} + 1 \cdot k_{68} \cdot x_{23} \cdot x_{27}\right) / k_{1}\\
\frac{dx_{29}}{dt} = \left(-1 \cdot k_{55} \cdot x_{29} + 1 \cdot k_{69} \cdot x_{25} + -1 \cdot k_{74} \cdot x_{29} \cdot x_{30}\right) / k_{3}\\
\frac{dx_{30}}{dt} = \left(-1 \cdot k_{58} \cdot x_{30} + 1 \cdot \left(k_{72} \cdot x_{26} - k_{73} \cdot x_{30}\right) + -1 \cdot k_{74} \cdot x_{29} \cdot x_{30}\right) / k_{3}\\
\frac{dx_{31}}{dt} = \left(-1 \cdot k_{59} \cdot x_{31} + 1 \cdot k_{74} \cdot x_{29} \cdot x_{30} + -1 \cdot k_{75} \cdot x_{31}\right) / k_{3}\\
\frac{dx_{32}}{dt} = \left(-1 \cdot k_{61} \cdot x_{32} + 1 \cdot k_{76} \cdot x_{29}\right) / k_{3}\\
\frac{dx_{33}}{dt} = \left(-1 \cdot k_{56} \cdot x_{33} + 1 \cdot k_{70} \cdot x_{29}\right) / k_{3}\\
\frac{dx_{34}}{dt} = \left(-1 \cdot k_{62} \cdot x_{34} + 1 \cdot k_{78} \cdot x_{29}\right) / k_{3}\\
\frac{dx_{35}}{dt} = \left(-1 \cdot k_{63} \cdot x_{35} + 1 \cdot k_{80} \cdot x_{29}\right) / k_{3}\\
\frac{dx_{36}}{dt} = \left(1 \cdot \left(k_{92} - k_{93} \cdot x_{36}\right) + -1 \cdot \left(k_{108} \cdot x_{36} \cdot x_{41} - k_{109} \cdot x_{44}\right)\right) / k_{1}\\
\frac{dx_{37}}{dt} = \left(1 \cdot \left(k_{49} - k_{50} \cdot x_{37}\right) + 1 \cdot k_{79} \cdot x_{34} + -1 \cdot \left(k_{101} \cdot x_{37} \cdot x_{42} - k_{102} \cdot x_{45}\right) + -1 \cdot k_{103} \cdot x_{37} \cdot x_{42} + 1 \cdot k_{104} \cdot x_{45}\right) / k_{1}\\
\frac{dx_{38}}{dt} = \left(-1 \cdot k_{35} \cdot x_{14} \cdot x_{38} + -1 \cdot k_{36} \cdot x_{17} \cdot x_{38} + -1 \cdot k_{39} \cdot x_{16} \cdot x_{38} + 1 \cdot \left(k_{82} - k_{83} \cdot x_{38}\right) + -1 \cdot k_{100} \cdot x_{38} \cdot x_{43}\right) / k_{1}\\
\frac{dx_{39}}{dt} = \left(1 \cdot \left(k_{84} - k_{85} \cdot x_{39}\right) + -1 \cdot k_{98} \cdot x_{39} \cdot x_{41}\right) / k_{1}\\
\frac{dx_{40}}{dt} = \left(1 \cdot \left(k_{86} - k_{87} \cdot x_{40}\right) + -1 \cdot k_{99} \cdot x_{40} \cdot x_{42}\right) / k_{1}\\
\frac{dx_{41}}{dt} = \left(1 \cdot k_{37} \cdot x_{19} + 1 \cdot k_{40} \cdot x_{20} + -1 \cdot k_{88} \cdot x_{41} + 1 \cdot k_{100} \cdot x_{38} \cdot x_{43} + -1 \cdot \left(k_{108} \cdot x_{36} \cdot x_{41} - k_{109} \cdot x_{44}\right)\right) / k_{1}\\
\frac{dx_{42}}{dt} = \left(-1 \cdot k_{89} \cdot x_{42} + 1 \cdot k_{98} \cdot x_{39} \cdot x_{41} + -1 \cdot \left(k_{101} \cdot x_{37} \cdot x_{42} - k_{102} \cdot x_{45}\right)\right) / k_{1}\\
\frac{dx_{43}}{dt} = \left(-1 \cdot k_{90} \cdot x_{43} + 1 \cdot k_{99} \cdot x_{40} \cdot x_{42}\right) / k_{1}\\
\frac{dx_{44}}{dt} = \left(-1 \cdot k_{94} \cdot x_{44} + 1 \cdot \left(k_{108} \cdot x_{36} \cdot x_{41} - k_{109} \cdot x_{44}\right)\right) / k_{1}\\
\frac{dx_{45}}{dt} = \left(-1 \cdot k_{91} \cdot x_{45} + 1 \cdot \left(k_{101} \cdot x_{37} \cdot x_{42} - k_{102} \cdot x_{45}\right) + -1 \cdot k_{104} \cdot x_{45}\right) / k_{1}\\
\frac{dx_{46}}{dt} = \left(-1 \cdot \left(k_{95} \cdot x_{46} - k_{96}\right) + -1 \cdot k_{107} \cdot x_{42} \cdot x_{46}\right) / k_{1}\\
\frac{dx_{47}}{dt} = \left(-1 \cdot k_{97} \cdot x_{47} + 1 \cdot k_{107} \cdot x_{42} \cdot x_{46}\right) / k_{1}