\frac{dx_{1}}{dt} = \left(-1 \cdot k_{43} \cdot k_{68} \cdot k_{65} \cdot x_{1} \cdot k_{130} \cdot k_{1} / \left(k_{66} \cdot k_{67} + k_{66} \cdot k_{130} + k_{67} \cdot x_{1} + x_{1} \cdot k_{130}\right) + 1 \cdot k_{43} \cdot k_{27} \cdot k_{69} \cdot k_{1} \cdot x_{16} \cdot k_{29} \cdot k_{28} / \left(k_{25} \cdot k_{29} \cdot k_{28} + k_{29} \cdot k_{28} \cdot x_{16} + k_{25} \cdot k_{28} \cdot x_{6} + k_{25} \cdot k_{29} \cdot x_{5}\right) + -2 \cdot k_{43} \cdot k_{81} \cdot x_{1}^{k_{79}} \cdot k_{130}^{k_{80}}\right) / k_{43}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{43} \cdot k_{71} \cdot k_{17} \cdot x_{3} \cdot k_{130} \cdot k_{18} \cdot k_{20} \cdot k_{1} / \left(k_{19} \cdot k_{38} \cdot k_{18} \cdot k_{20} + x_{3} \cdot k_{38} \cdot k_{18} \cdot k_{20} + k_{130} \cdot k_{19} \cdot k_{18} \cdot k_{20} + x_{24} \cdot k_{19} \cdot k_{38} \cdot k_{20} + x_{21} \cdot k_{19} \cdot k_{38} \cdot k_{18} + x_{3} \cdot k_{130} \cdot k_{18} \cdot k_{20} + x_{24} \cdot k_{130} \cdot k_{19} \cdot k_{20} + x_{21} \cdot k_{130} \cdot k_{19} \cdot k_{18}\right) + -1 \cdot k_{43} \cdot k_{10} \cdot k_{76} \cdot k_{1} \cdot x_{2} \cdot k_{12} \cdot k_{13} / \left(k_{11} \cdot k_{12} \cdot k_{13} + k_{12} \cdot k_{13} \cdot x_{2} + k_{11} \cdot k_{13} \cdot x_{5} + k_{11} \cdot k_{12} \cdot x_{44}\right)\right) / k_{43}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{43} \cdot k_{57} \cdot k_{54} \cdot x_{24} \cdot k_{130} \cdot k_{118} \cdot k_{1} / \left(k_{55} \cdot k_{56} + k_{56} \cdot x_{24} + k_{55} \cdot k_{130} + x_{24} \cdot k_{130}\right) + -1 \cdot k_{43} \cdot k_{14} \cdot k_{70} \cdot k_{1} \cdot x_{3} \cdot k_{16} / \left(k_{15} \cdot k_{16} + k_{15} \cdot x_{24} + k_{16} \cdot x_{3}\right) + -1 \cdot k_{43} \cdot k_{71} \cdot k_{17} \cdot x_{3} \cdot k_{130} \cdot k_{18} \cdot k_{20} \cdot k_{1} / \left(k_{19} \cdot k_{38} \cdot k_{18} \cdot k_{20} + x_{3} \cdot k_{38} \cdot k_{18} \cdot k_{20} + k_{130} \cdot k_{19} \cdot k_{18} \cdot k_{20} + x_{24} \cdot k_{19} \cdot k_{38} \cdot k_{20} + x_{21} \cdot k_{19} \cdot k_{38} \cdot k_{18} + x_{3} \cdot k_{130} \cdot k_{18} \cdot k_{20} + x_{24} \cdot k_{130} \cdot k_{19} \cdot k_{20} + x_{21} \cdot k_{130} \cdot k_{19} \cdot k_{18}\right) + 1 \cdot k_{43} \cdot k_{106} \cdot k_{103} \cdot x_{24} \cdot k_{130} \cdot k_{118} \cdot k_{1} / \left(k_{104} \cdot k_{105} + k_{105} \cdot x_{24} + k_{104} \cdot k_{130} + x_{24} \cdot k_{130}\right)\right) / k_{43}\\
\frac{dx_{4}}{dt} = 0\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{43} \cdot k_{51} \cdot k_{48} \cdot x_{24} \cdot k_{130} \cdot k_{1} / \left(k_{49} \cdot k_{50} + k_{49} \cdot k_{130} + k_{50} \cdot x_{24} + x_{24} \cdot k_{130}\right) + -1 \cdot k_{43} \cdot k_{10} \cdot k_{58} \cdot k_{1} \cdot x_{5} \cdot k_{11} \cdot k_{13} / \left(k_{12} \cdot k_{11} \cdot k_{13} + k_{11} \cdot k_{13} \cdot x_{5} + k_{12} \cdot k_{13} \cdot x_{2} + k_{12} \cdot k_{11} \cdot x_{44}\right) + 1 \cdot k_{43} \cdot k_{82} \cdot k_{17} \cdot x_{24} \cdot k_{130} \cdot k_{19} \cdot k_{20} \cdot k_{1} / \left(k_{18} \cdot k_{38} \cdot k_{19} \cdot k_{20} + x_{24} \cdot k_{38} \cdot k_{19} \cdot k_{20} + k_{130} \cdot k_{18} \cdot k_{19} \cdot k_{20} + x_{3} \cdot k_{18} \cdot k_{38} \cdot k_{20} + x_{21} \cdot k_{18} \cdot k_{38} \cdot k_{19} + x_{24} \cdot k_{130} \cdot k_{19} \cdot k_{20} + x_{3} \cdot k_{130} \cdot k_{18} \cdot k_{20} + x_{21} \cdot k_{130} \cdot k_{18} \cdot k_{19}\right) + -1 \cdot k_{43} \cdot k_{27} \cdot k_{87} \cdot k_{1} \cdot x_{5} \cdot k_{29} \cdot k_{25} / \left(k_{28} \cdot k_{29} \cdot k_{25} + k_{29} \cdot k_{25} \cdot x_{5} + k_{28} \cdot k_{25} \cdot x_{6} + k_{28} \cdot k_{29} \cdot x_{16}\right)\right) / k_{43}\\
\frac{dx_{6}}{dt} = \left(-1 \cdot k_{43} \cdot k_{27} \cdot k_{53} \cdot k_{1} \cdot x_{6} \cdot k_{25} \cdot k_{28} / \left(k_{29} \cdot k_{25} \cdot k_{28} + k_{25} \cdot k_{28} \cdot x_{6} + k_{29} \cdot k_{28} \cdot x_{16} + k_{29} \cdot k_{25} \cdot x_{5}\right) + -1 \cdot k_{43} \cdot k_{2} \cdot k_{40} \cdot k_{1} \cdot x_{6} \cdot k_{5} / \left(k_{6} \cdot k_{5} + k_{6} \cdot x_{16} + k_{5} \cdot x_{6}\right) + 1 \cdot k_{43} \cdot k_{10} \cdot k_{58} \cdot k_{1} \cdot x_{5} \cdot k_{11} \cdot k_{13} / \left(k_{12} \cdot k_{11} \cdot k_{13} + k_{11} \cdot k_{13} \cdot x_{5} + k_{12} \cdot k_{13} \cdot x_{2} + k_{12} \cdot k_{11} \cdot x_{44}\right) + -1 \cdot k_{43} \cdot k_{63} \cdot k_{59} \cdot x_{6} \cdot k_{130} \cdot k_{128} \cdot k_{126} \cdot k_{1} / \left(k_{60} \cdot k_{61} \cdot k_{62} + x_{6} \cdot k_{61} \cdot k_{62} + k_{130} \cdot k_{60} \cdot k_{62} + k_{128} \cdot k_{60} \cdot k_{61} + x_{6} \cdot k_{130} \cdot k_{62} + k_{130} \cdot k_{128} \cdot k_{60} + x_{6} \cdot k_{128} \cdot k_{61} + x_{6} \cdot k_{130} \cdot k_{128}\right) + -1 \cdot k_{43} \cdot k_{3} \cdot k_{40} \cdot k_{1} \cdot x_{6} \cdot k_{5} / \left(k_{6} \cdot k_{5} + k_{6} \cdot x_{16} + k_{5} \cdot x_{6}\right) + -1 \cdot k_{43} \cdot k_{4} \cdot k_{40} \cdot k_{1} \cdot x_{6} \cdot k_{5} / \left(k_{6} \cdot k_{5} + k_{6} \cdot x_{16} + k_{5} \cdot x_{6}\right) + -1 \cdot k_{43} \cdot k_{1} \cdot \left(k_{32} \cdot k_{42} \cdot x_{6} / k_{30} - k_{32} \cdot k_{42} \cdot k_{148} / k_{30}\right) / \left(1 + x_{6} / k_{30} + x_{24} / k_{33} + k_{148} / k_{30} + k_{135} / k_{33}\right) + -1 \cdot k_{43} \cdot k_{1} \cdot \left(k_{26} \cdot k_{42} \cdot x_{6} / k_{30} - k_{26} \cdot k_{42} \cdot k_{148} / k_{30}\right) / \left(1 + x_{6} / k_{30} + x_{24} / k_{31} + k_{148} / k_{30} + k_{135} / k_{31}\right)\right) / k_{43}\\
\frac{dx_{7}}{dt} = 0\\
\frac{dx_{8}}{dt} = 0\\
\frac{dx_{9}}{dt} = 0\\
\frac{dx_{10}}{dt} = 0\\
\frac{dx_{11}}{dt} = 0\\
\frac{dx_{12}}{dt} = \left(1 \cdot k_{43} \cdot k_{68} \cdot k_{65} \cdot x_{1} \cdot k_{130} \cdot k_{1} / \left(k_{66} \cdot k_{67} + k_{66} \cdot k_{130} + k_{67} \cdot x_{1} + x_{1} \cdot k_{130}\right) + -1 \cdot k_{43} \cdot k_{77} \cdot x_{12} + -1 \cdot k_{43} \cdot k_{92} \cdot k_{94} \cdot x_{12} \cdot k_{1} / \left(k_{93} + x_{12}\right)\right) / k_{43}\\
\frac{dx_{13}}{dt} = 0\\
\frac{dx_{14}}{dt} = 0\\
\frac{dx_{15}}{dt} = 0\\
\frac{dx_{16}}{dt} = \left(1 \cdot k_{43} \cdot k_{63} \cdot k_{59} \cdot x_{6} \cdot k_{130} \cdot k_{128} \cdot k_{126} \cdot k_{1} / \left(k_{60} \cdot k_{61} \cdot k_{62} + x_{6} \cdot k_{61} \cdot k_{62} + k_{130} \cdot k_{60} \cdot k_{62} + k_{128} \cdot k_{60} \cdot k_{61} + x_{6} \cdot k_{130} \cdot k_{62} + k_{130} \cdot k_{128} \cdot k_{60} + x_{6} \cdot k_{128} \cdot k_{61} + x_{6} \cdot k_{130} \cdot k_{128}\right) + -1 \cdot k_{43} \cdot k_{27} \cdot k_{69} \cdot k_{1} \cdot x_{16} \cdot k_{29} \cdot k_{28} / \left(k_{25} \cdot k_{29} \cdot k_{28} + k_{29} \cdot k_{28} \cdot x_{16} + k_{25} \cdot k_{28} \cdot x_{6} + k_{25} \cdot k_{29} \cdot x_{5}\right) + -1 \cdot k_{43} \cdot k_{2} \cdot k_{39} \cdot k_{1} \cdot x_{16} \cdot k_{6} / \left(k_{5} \cdot k_{6} + k_{5} \cdot x_{6} + k_{6} \cdot x_{16}\right) + -1 \cdot k_{43} \cdot k_{3} \cdot k_{39} \cdot k_{1} \cdot x_{16} \cdot k_{6} / \left(k_{5} \cdot k_{6} + k_{5} \cdot x_{6} + k_{6} \cdot x_{16}\right) + -1 \cdot k_{43} \cdot k_{4} \cdot k_{39} \cdot k_{1} \cdot x_{16} \cdot k_{6} / \left(k_{5} \cdot k_{6} + k_{5} \cdot x_{6} + k_{6} \cdot x_{16}\right)\right) / k_{43}\\
\frac{dx_{17}}{dt} = 0\\
\frac{dx_{18}}{dt} = 0\\
\frac{dx_{19}}{dt} = \left(1 \cdot k_{43} \cdot k_{21} \cdot k_{64} \cdot k_{1} \cdot x_{26} \cdot k_{24} \cdot k_{22} / \left(k_{23} \cdot k_{24} \cdot k_{22} + k_{24} \cdot k_{22} \cdot x_{26} + k_{23} \cdot k_{22} \cdot x_{19} + k_{23} \cdot k_{24} \cdot x_{21}\right) + -1 \cdot k_{43} \cdot k_{21} \cdot k_{98} \cdot k_{1} \cdot x_{19} \cdot k_{22} \cdot k_{23} / \left(k_{24} \cdot k_{22} \cdot k_{23} + k_{22} \cdot k_{23} \cdot x_{19} + k_{24} \cdot k_{23} \cdot x_{21} + k_{24} \cdot k_{22} \cdot x_{26}\right)\right) / k_{43}\\
\frac{dx_{20}}{dt} = \left(1 \cdot k_{43} \cdot k_{77} \cdot x_{12} + -1 \cdot k_{43} \cdot k_{86} \cdot k_{83} \cdot x_{20} \cdot k_{136} \cdot k_{126} \cdot k_{1} / \left(k_{84} \cdot k_{85} + k_{85} \cdot x_{20} + k_{84} \cdot k_{136} + x_{20} \cdot k_{136}\right)\right) / k_{43}\\
\frac{dx_{21}}{dt} = \left(1 \cdot k_{43} \cdot k_{14} \cdot k_{70} \cdot k_{1} \cdot x_{3} \cdot k_{16} / \left(k_{15} \cdot k_{16} + k_{15} \cdot x_{24} + k_{16} \cdot x_{3}\right) + -1 \cdot k_{43} \cdot k_{34} \cdot k_{95} \cdot k_{1} \cdot x_{21} \cdot k_{37} / \left(k_{36} \cdot k_{37} + k_{36} \cdot x_{26} + k_{37} \cdot x_{21}\right) + -1 \cdot k_{43} \cdot k_{7} \cdot k_{96} \cdot k_{1} \cdot x_{21} \cdot k_{9} / \left(k_{8} \cdot k_{9} + k_{8} \cdot x_{26} + k_{9} \cdot x_{21}\right) + -1 \cdot k_{43} \cdot k_{97} \cdot k_{17} \cdot x_{21} \cdot k_{130} \cdot k_{19} \cdot k_{18} \cdot k_{1} / \left(k_{20} \cdot k_{38} \cdot k_{19} \cdot k_{18} + x_{21} \cdot k_{38} \cdot k_{19} \cdot k_{18} + k_{130} \cdot k_{20} \cdot k_{19} \cdot k_{18} + x_{3} \cdot k_{20} \cdot k_{38} \cdot k_{18} + x_{24} \cdot k_{20} \cdot k_{38} \cdot k_{19} + x_{21} \cdot k_{130} \cdot k_{19} \cdot k_{18} + x_{3} \cdot k_{130} \cdot k_{20} \cdot k_{18} + x_{24} \cdot k_{130} \cdot k_{20} \cdot k_{19}\right) + -1 \cdot k_{43} \cdot k_{21} \cdot k_{99} \cdot k_{1} \cdot x_{21} \cdot k_{24} \cdot k_{23} / \left(k_{22} \cdot k_{24} \cdot k_{23} + k_{24} \cdot k_{23} \cdot x_{21} + k_{22} \cdot k_{23} \cdot x_{19} + k_{22} \cdot k_{24} \cdot x_{26}\right) + -1 \cdot k_{43} \cdot k_{35} \cdot k_{100} \cdot k_{1} \cdot x_{21} \cdot k_{37} / \left(k_{36} \cdot k_{37} + k_{36} \cdot x_{26} + k_{37} \cdot x_{21}\right)\right) / k_{43}\\
\frac{dx_{22}}{dt} = 0\\
\frac{dx_{23}}{dt} = 0\\
\frac{dx_{24}}{dt} = \left(-1 \cdot k_{43} \cdot k_{47} \cdot k_{44} \cdot x_{24} \cdot k_{130} \cdot k_{125} \cdot k_{1} / \left(k_{45} \cdot k_{46} + k_{46} \cdot x_{24} + k_{45} \cdot k_{130} + x_{24} \cdot k_{130}\right) + -1 \cdot k_{43} \cdot k_{51} \cdot k_{48} \cdot x_{24} \cdot k_{130} \cdot k_{1} / \left(k_{49} \cdot k_{50} + k_{49} \cdot k_{130} + k_{50} \cdot x_{24} + x_{24} \cdot k_{130}\right) + -1 \cdot k_{43} \cdot k_{14} \cdot k_{52} \cdot k_{1} \cdot x_{24} \cdot k_{15} / \left(k_{16} \cdot k_{15} + k_{16} \cdot x_{3} + k_{15} \cdot x_{24}\right) + -1 \cdot k_{43} \cdot k_{57} \cdot k_{54} \cdot x_{24} \cdot k_{130} \cdot k_{118} \cdot k_{1} / \left(k_{55} \cdot k_{56} + k_{56} \cdot x_{24} + k_{55} \cdot k_{130} + x_{24} \cdot k_{130}\right) + -1 \cdot k_{43} \cdot k_{75} \cdot k_{72} \cdot x_{24} \cdot k_{119} \cdot k_{122} \cdot k_{1} / \left(k_{73} \cdot k_{74} + k_{74} \cdot x_{24} + k_{73} \cdot k_{119} + x_{24} \cdot k_{119}\right) + 1 \cdot k_{43} \cdot k_{1} \cdot \left(k_{32} \cdot k_{41} \cdot k_{135} / k_{33} - k_{32} \cdot k_{41} \cdot x_{24} / k_{33}\right) / \left(1 + k_{135} / k_{33} + k_{148} / k_{30} + x_{24} / k_{33} + x_{6} / k_{30}\right) + -1 \cdot k_{43} \cdot k_{82} \cdot k_{17} \cdot x_{24} \cdot k_{130} \cdot k_{19} \cdot k_{20} \cdot k_{1} / \left(k_{18} \cdot k_{38} \cdot k_{19} \cdot k_{20} + x_{24} \cdot k_{38} \cdot k_{19} \cdot k_{20} + k_{130} \cdot k_{18} \cdot k_{19} \cdot k_{20} + x_{3} \cdot k_{18} \cdot k_{38} \cdot k_{20} + x_{21} \cdot k_{18} \cdot k_{38} \cdot k_{19} + x_{24} \cdot k_{130} \cdot k_{19} \cdot k_{20} + x_{3} \cdot k_{130} \cdot k_{18} \cdot k_{20} + x_{21} \cdot k_{130} \cdot k_{18} \cdot k_{19}\right) + -1 \cdot k_{43} \cdot k_{106} \cdot k_{103} \cdot x_{24} \cdot k_{130} \cdot k_{118} \cdot k_{1} / \left(k_{104} \cdot k_{105} + k_{105} \cdot x_{24} + k_{104} \cdot k_{130} + x_{24} \cdot k_{130}\right) + 1 \cdot k_{43} \cdot k_{1} \cdot \left(k_{26} \cdot k_{41} \cdot k_{135} / k_{31} - k_{26} \cdot k_{41} \cdot x_{24} / k_{31}\right) / \left(1 + k_{135} / k_{31} + k_{148} / k_{30} + x_{24} / k_{31} + x_{6} / k_{30}\right)\right) / k_{43}\\
\frac{dx_{25}}{dt} = 0\\
\frac{dx_{26}}{dt} = \left(1 \cdot k_{43} \cdot k_{14} \cdot k_{52} \cdot k_{1} \cdot x_{24} \cdot k_{15} / \left(k_{16} \cdot k_{15} + k_{16} \cdot x_{3} + k_{15} \cdot x_{24}\right) + -1 \cdot k_{43} \cdot k_{21} \cdot k_{64} \cdot k_{1} \cdot x_{26} \cdot k_{24} \cdot k_{22} / \left(k_{23} \cdot k_{24} \cdot k_{22} + k_{24} \cdot k_{22} \cdot x_{26} + k_{23} \cdot k_{22} \cdot x_{19} + k_{23} \cdot k_{24} \cdot x_{21}\right) + -1 \cdot k_{43} \cdot k_{34} \cdot k_{78} \cdot k_{1} \cdot x_{26} \cdot k_{36} / \left(k_{37} \cdot k_{36} + k_{37} \cdot x_{21} + k_{36} \cdot x_{26}\right) + -1 \cdot k_{43} \cdot k_{35} \cdot k_{101} \cdot k_{1} \cdot x_{26} \cdot k_{36} / \left(k_{37} \cdot k_{36} + k_{37} \cdot x_{21} + k_{36} \cdot x_{26}\right) + -1 \cdot k_{43} \cdot k_{7} \cdot k_{102} \cdot k_{1} \cdot x_{26} \cdot k_{8} / \left(k_{9} \cdot k_{8} + k_{9} \cdot x_{21} + k_{8} \cdot x_{26}\right)\right) / k_{43}\\
\frac{dx_{27}}{dt} = 0\\
\frac{dx_{28}}{dt} = 0\\
\frac{dx_{29}}{dt} = 0\\
\frac{dx_{30}}{dt} = 0\\
\frac{dx_{31}}{dt} = 0\\
\frac{dx_{32}}{dt} = 0\\
\frac{dx_{33}}{dt} = 0\\
\frac{dx_{34}}{dt} = 0\\
\frac{dx_{35}}{dt} = 0\\
\frac{dx_{36}}{dt} = 0\\
\frac{dx_{37}}{dt} = 0\\
\frac{dx_{38}}{dt} = 0\\
\frac{dx_{39}}{dt} = 0\\
\frac{dx_{40}}{dt} = 0\\
\frac{dx_{41}}{dt} = 0\\
\frac{dx_{42}}{dt} = \left(1 \cdot k_{43} \cdot k_{86} \cdot k_{83} \cdot x_{20} \cdot k_{136} \cdot k_{126} \cdot k_{1} / \left(k_{84} \cdot k_{85} + k_{85} \cdot x_{20} + k_{84} \cdot k_{136} + x_{20} \cdot k_{136}\right) + -1 \cdot k_{43} \cdot k_{89} \cdot k_{91} \cdot x_{42} \cdot k_{126} \cdot k_{122} \cdot k_{1} / \left(k_{90} + x_{42}\right)\right) / k_{43}\\
\frac{dx_{43}}{dt} = 0\\
\frac{dx_{44}}{dt} = \left(1 \cdot k_{43} \cdot k_{27} \cdot k_{87} \cdot k_{1} \cdot x_{5} \cdot k_{29} \cdot k_{25} / \left(k_{28} \cdot k_{29} \cdot k_{25} + k_{29} \cdot k_{25} \cdot x_{5} + k_{28} \cdot k_{25} \cdot x_{6} + k_{28} \cdot k_{29} \cdot x_{16}\right) + -1 \cdot k_{43} \cdot k_{10} \cdot k_{88} \cdot k_{1} \cdot x_{44} \cdot k_{12} \cdot k_{11} / \left(k_{13} \cdot k_{12} \cdot k_{11} + k_{12} \cdot k_{11} \cdot x_{44} + k_{13} \cdot k_{11} \cdot x_{5} + k_{13} \cdot k_{12} \cdot x_{2}\right)\right) / k_{43}\\
\frac{dx_{45}}{dt} = 0\\
\frac{dx_{46}}{dt} = 0\\
\frac{dx_{47}}{dt} = 0\\
\frac{dx_{48}}{dt} = 0\\
\frac{dx_{49}}{dt} = 0\\
\frac{dx_{50}}{dt} = 0\\
\frac{dx_{51}}{dt} = 0\\
\frac{dx_{52}}{dt} = 0\\
\frac{dx_{53}}{dt} = 0\\
\frac{dx_{54}}{dt} = 0\\
\frac{dx_{55}}{dt} = 0\\
\frac{dx_{56}}{dt} = 0