\frac{dx_{1}}{dt} = -1 \cdot k_{78} \cdot \left(x_{1} \cdot x_{2} \cdot k_{1} - x_{22} \cdot k_{2}\right) / k_{78}\\ \frac{dx_{2}}{dt} = -1 \cdot k_{78} \cdot \left(x_{1} \cdot x_{2} \cdot k_{1} - x_{22} \cdot k_{2}\right) / k_{78}\\ \frac{dx_{3}}{dt} = -1 \cdot k_{78} \cdot \left(x_{23} \cdot x_{3} \cdot k_{4} - x_{24} \cdot k_{5}\right) / k_{78}\\ \frac{dx_{4}}{dt} = \left(-1 \cdot k_{78} \cdot \left(x_{23} \cdot x_{4} \cdot k_{6} - x_{25} \cdot k_{7}\right) + -1 \cdot k_{78} \cdot \left(x_{6} \cdot x_{4} \cdot k_{17} - x_{26} \cdot k_{18}\right)\right) / k_{78}\\ \frac{dx_{5}}{dt} = \left(1 \cdot k_{78} \cdot x_{25} \cdot k_{8} + 1 \cdot k_{78} \cdot x_{26} \cdot k_{70} + -1 \cdot k_{78} \cdot \left(x_{5} \cdot x_{7} \cdot k_{9} - x_{27} \cdot k_{10}\right) + -1 \cdot k_{78} \cdot \left(x_{8} \cdot x_{5} \cdot k_{11} - x_{28} \cdot k_{12}\right) + 1 \cdot k_{78} \cdot x_{28} \cdot k_{13} + -1 \cdot k_{78} \cdot \left(x_{5} \cdot x_{10} \cdot k_{25} - x_{31} \cdot k_{26}\right) + 1 \cdot k_{78} \cdot x_{31} \cdot k_{27}\right) / k_{78}\\ \frac{dx_{6}}{dt} = \left(-1 \cdot k_{78} \cdot \left(x_{6} \cdot x_{4} \cdot k_{17} - x_{26} \cdot k_{18}\right) + 1 \cdot k_{78} \cdot x_{26} \cdot k_{70} + 1 \cdot k_{78} \cdot x_{32} \cdot k_{16}\right) / k_{78}\\ \frac{dx_{7}}{dt} = -1 \cdot k_{78} \cdot \left(x_{5} \cdot x_{7} \cdot k_{9} - x_{27} \cdot k_{10}\right) / k_{78}\\ \frac{dx_{8}}{dt} = \left(-1 \cdot k_{78} \cdot \left(x_{8} \cdot x_{5} \cdot k_{11} - x_{28} \cdot k_{12}\right) + -1 \cdot k_{78} \cdot \left(x_{8} \cdot x_{30} \cdot k_{61} - x_{29} \cdot k_{62}\right)\right) / k_{78}\\ \frac{dx_{9}}{dt} = \left(1 \cdot k_{78} \cdot x_{28} \cdot k_{13} + 1 \cdot k_{78} \cdot x_{29} \cdot k_{63} + -1 \cdot k_{78} \cdot \left(x_{9} \cdot x_{12} \cdot k_{14} - x_{32} \cdot k_{15}\right) + 1 \cdot k_{78} \cdot x_{32} \cdot k_{16} + -1 \cdot k_{78} \cdot \left(x_{9} \cdot x_{13} \cdot k_{19} - x_{33} \cdot k_{20}\right) + -1 \cdot k_{78} \cdot \left(x_{15} \cdot x_{9} \cdot k_{22} - x_{34} \cdot k_{23}\right) + 1 \cdot k_{78} \cdot x_{34} \cdot k_{24}\right) / k_{78}\\ \frac{dx_{10}}{dt} = -1 \cdot k_{78} \cdot \left(x_{5} \cdot x_{10} \cdot k_{25} - x_{31} \cdot k_{26}\right) / k_{78}\\ \frac{dx_{11}}{dt} = \left(1 \cdot k_{78} \cdot x_{31} \cdot k_{27} + -1 \cdot k_{78} \cdot \left(x_{11} \cdot x_{18} \cdot k_{28} - x_{37} \cdot k_{29}\right) + -1 \cdot k_{78} \cdot \left(x_{11} \cdot x_{19} \cdot k_{30} - x_{38} \cdot k_{31}\right) + 1 \cdot k_{78} \cdot x_{38} \cdot k_{32}\right) / k_{78}\\ \frac{dx_{12}}{dt} = -1 \cdot k_{78} \cdot \left(x_{9} \cdot x_{12} \cdot k_{14} - x_{32} \cdot k_{15}\right) / k_{78}\\ \frac{dx_{13}}{dt} = \left(-1 \cdot k_{78} \cdot \left(x_{9} \cdot x_{13} \cdot k_{19} - x_{33} \cdot k_{20}\right) + 1 \cdot k_{78} \cdot x_{33} \cdot k_{21} + -1 \cdot k_{78} \cdot \left(x_{13} \cdot x_{30} \cdot k_{66} - x_{35} \cdot k_{67}\right) + -1 \cdot k_{78} \cdot \left(x_{13} \cdot x_{17} \cdot k_{68} - x_{36} \cdot k_{69}\right)\right) / k_{78}\\ \frac{dx_{14}}{dt} = 1 \cdot k_{78} \cdot x_{33} \cdot k_{21} / k_{78}\\ \frac{dx_{15}}{dt} = -1 \cdot k_{78} \cdot \left(x_{15} \cdot x_{9} \cdot k_{22} - x_{34} \cdot k_{23}\right) / k_{78}\\ \frac{dx_{16}}{dt} = 1 \cdot k_{78} \cdot x_{34} \cdot k_{24} / k_{78}\\ \frac{dx_{17}}{dt} = \left(-1 \cdot k_{78} \cdot \left(x_{13} \cdot x_{17} \cdot k_{68} - x_{36} \cdot k_{69}\right) + 1 \cdot k_{78} \cdot \left(x_{48} \cdot k_{64} - x_{17} \cdot k_{65}\right)\right) / k_{78}\\ \frac{dx_{18}}{dt} = -1 \cdot k_{78} \cdot \left(x_{11} \cdot x_{18} \cdot k_{28} - x_{37} \cdot k_{29}\right) / k_{78}\\ \frac{dx_{19}}{dt} = -1 \cdot k_{78} \cdot \left(x_{11} \cdot x_{19} \cdot k_{30} - x_{38} \cdot k_{31}\right) / k_{78}\\ \frac{dx_{20}}{dt} = \left(1 \cdot k_{78} \cdot x_{38} \cdot k_{32} + -1 \cdot k_{78} \cdot \left(x_{20} \cdot k_{33} - x_{57} \cdot k_{34}\right)\right) / k_{78}\\ \frac{dx_{21}}{dt} = \left(-1 \cdot k_{79} \cdot \left(x_{57} \cdot x_{21} \cdot k_{35} / k_{71} - x_{39} \cdot k_{36}\right) + -1 \cdot k_{79} \cdot \left(x_{21} \cdot x_{58} \cdot k_{39} / k_{71} - x_{41} \cdot k_{40}\right) + -1 \cdot k_{79} \cdot \left(x_{21} \cdot x_{40} \cdot k_{43} / k_{71} - x_{42} \cdot k_{44}\right)\right) / k_{79}\\ \frac{dx_{22}}{dt} = \left(1 \cdot k_{78} \cdot \left(x_{1} \cdot x_{2} \cdot k_{1} - x_{22} \cdot k_{2}\right) + -1 \cdot k_{78} \cdot x_{22} \cdot k_{3}\right) / k_{78}\\ \frac{dx_{23}}{dt} = \left(1 \cdot k_{78} \cdot x_{22} \cdot k_{3} + -1 \cdot k_{78} \cdot \left(x_{23} \cdot x_{3} \cdot k_{4} - x_{24} \cdot k_{5}\right) + -1 \cdot k_{78} \cdot \left(x_{23} \cdot x_{4} \cdot k_{6} - x_{25} \cdot k_{7}\right) + 1 \cdot k_{78} \cdot x_{25} \cdot k_{8}\right) / k_{78}\\ \frac{dx_{24}}{dt} = 1 \cdot k_{78} \cdot \left(x_{23} \cdot x_{3} \cdot k_{4} - x_{24} \cdot k_{5}\right) / k_{78}\\ \frac{dx_{25}}{dt} = \left(1 \cdot k_{78} \cdot \left(x_{23} \cdot x_{4} \cdot k_{6} - x_{25} \cdot k_{7}\right) + -1 \cdot k_{78} \cdot x_{25} \cdot k_{8}\right) / k_{78}\\ \frac{dx_{26}}{dt} = \left(1 \cdot k_{78} \cdot \left(x_{6} \cdot x_{4} \cdot k_{17} - x_{26} \cdot k_{18}\right) + -1 \cdot k_{78} \cdot x_{26} \cdot k_{70}\right) / k_{78}\\ \frac{dx_{27}}{dt} = 1 \cdot k_{78} \cdot \left(x_{5} \cdot x_{7} \cdot k_{9} - x_{27} \cdot k_{10}\right) / k_{78}\\ \frac{dx_{28}}{dt} = \left(1 \cdot k_{78} \cdot \left(x_{8} \cdot x_{5} \cdot k_{11} - x_{28} \cdot k_{12}\right) + -1 \cdot k_{78} \cdot x_{28} \cdot k_{13}\right) / k_{78}\\ \frac{dx_{29}}{dt} = \left(1 \cdot k_{78} \cdot \left(x_{8} \cdot x_{30} \cdot k_{61} - x_{29} \cdot k_{62}\right) + -1 \cdot k_{78} \cdot x_{29} \cdot k_{63}\right) / k_{78}\\ \frac{dx_{30}}{dt} = \left(-1 \cdot k_{78} \cdot \left(x_{8} \cdot x_{30} \cdot k_{61} - x_{29} \cdot k_{62}\right) + 1 \cdot k_{78} \cdot x_{29} \cdot k_{63} + -1 \cdot k_{78} \cdot \left(x_{13} \cdot x_{30} \cdot k_{66} - x_{35} \cdot k_{67}\right) + 1 \cdot k_{78} \cdot \left(x_{55} \cdot x_{56} \cdot k_{59} - x_{30} \cdot k_{60}\right)\right) / k_{78}\\ \frac{dx_{31}}{dt} = \left(1 \cdot k_{78} \cdot \left(x_{5} \cdot x_{10} \cdot k_{25} - x_{31} \cdot k_{26}\right) + -1 \cdot k_{78} \cdot x_{31} \cdot k_{27}\right) / k_{78}\\ \frac{dx_{32}}{dt} = \left(1 \cdot k_{78} \cdot \left(x_{9} \cdot x_{12} \cdot k_{14} - x_{32} \cdot k_{15}\right) + -1 \cdot k_{78} \cdot x_{32} \cdot k_{16}\right) / k_{78}\\ \frac{dx_{33}}{dt} = \left(1 \cdot k_{78} \cdot \left(x_{9} \cdot x_{13} \cdot k_{19} - x_{33} \cdot k_{20}\right) + -1 \cdot k_{78} \cdot x_{33} \cdot k_{21}\right) / k_{78}\\ \frac{dx_{34}}{dt} = \left(1 \cdot k_{78} \cdot \left(x_{15} \cdot x_{9} \cdot k_{22} - x_{34} \cdot k_{23}\right) + -1 \cdot k_{78} \cdot x_{34} \cdot k_{24}\right) / k_{78}\\ \frac{dx_{35}}{dt} = 1 \cdot k_{78} \cdot \left(x_{13} \cdot x_{30} \cdot k_{66} - x_{35} \cdot k_{67}\right) / k_{78}\\ \frac{dx_{36}}{dt} = 1 \cdot k_{78} \cdot \left(x_{13} \cdot x_{17} \cdot k_{68} - x_{36} \cdot k_{69}\right) / k_{78}\\ \frac{dx_{37}}{dt} = 1 \cdot k_{78} \cdot \left(x_{11} \cdot x_{18} \cdot k_{28} - x_{37} \cdot k_{29}\right) / k_{78}\\ \frac{dx_{38}}{dt} = \left(1 \cdot k_{78} \cdot \left(x_{11} \cdot x_{19} \cdot k_{30} - x_{38} \cdot k_{31}\right) + -1 \cdot k_{78} \cdot x_{38} \cdot k_{32}\right) / k_{78}\\ \frac{dx_{39}}{dt} = 1 \cdot k_{79} \cdot \left(x_{57} \cdot x_{21} \cdot k_{35} / k_{71} - x_{39} \cdot k_{36}\right) / k_{79}\\ \frac{dx_{40}}{dt} = \left(1 \cdot k_{79} \cdot \left(x_{58} \cdot x_{58} \cdot k_{41} / k_{71} - x_{40} \cdot k_{42}\right) + -1 \cdot k_{79} \cdot \left(x_{21} \cdot x_{40} \cdot k_{43} / k_{71} - x_{42} \cdot k_{44}\right) + -1 \cdot k_{79} \cdot \left(x_{40} \cdot x_{43} \cdot k_{45} / k_{71} - x_{44} \cdot k_{46}\right)\right) / k_{79}\\ \frac{dx_{41}}{dt} = 1 \cdot k_{79} \cdot \left(x_{21} \cdot x_{58} \cdot k_{39} / k_{71} - x_{41} \cdot k_{40}\right) / k_{79}\\ \frac{dx_{42}}{dt} = 1 \cdot k_{79} \cdot \left(x_{21} \cdot x_{40} \cdot k_{43} / k_{71} - x_{42} \cdot k_{44}\right) / k_{79}\\ \frac{dx_{43}}{dt} = -1 \cdot k_{79} \cdot \left(x_{40} \cdot x_{43} \cdot k_{45} / k_{71} - x_{44} \cdot k_{46}\right) / k_{79}\\ \frac{dx_{44}}{dt} = \left(1 \cdot k_{79} \cdot \left(x_{40} \cdot x_{43} \cdot k_{45} / k_{71} - x_{44} \cdot k_{46}\right) + -1 \cdot k_{79} \cdot x_{44} \cdot k_{47}\right) / k_{79}\\ \frac{dx_{45}}{dt} = \left(1 \cdot k_{79} \cdot x_{44} \cdot k_{47} + -1 \cdot k_{79} \cdot \left(x_{45} \cdot x_{46} \cdot k_{51} / k_{71} - x_{47} \cdot k_{52}\right) + 1 \cdot k_{79} \cdot x_{47} \cdot k_{53} + -1 \cdot k_{79} \cdot \left(x_{45} \cdot x_{49} \cdot k_{48} / k_{71} - x_{50} \cdot k_{49}\right) + 1 \cdot k_{79} \cdot x_{50} \cdot k_{50}\right) / k_{79}\\ \frac{dx_{46}}{dt} = -1 \cdot k_{79} \cdot \left(x_{45} \cdot x_{46} \cdot k_{51} / k_{71} - x_{47} \cdot k_{52}\right) / k_{79}\\ \frac{dx_{47}}{dt} = \left(1 \cdot k_{79} \cdot \left(x_{45} \cdot x_{46} \cdot k_{51} / k_{71} - x_{47} \cdot k_{52}\right) + -1 \cdot k_{79} \cdot x_{47} \cdot k_{53}\right) / k_{79}\\ \frac{dx_{48}}{dt} = \left(1 \cdot k_{79} \cdot x_{47} \cdot k_{53} + -1 \cdot k_{78} \cdot \left(x_{48} \cdot k_{64} - x_{17} \cdot k_{65}\right)\right) / k_{79}\\ \frac{dx_{49}}{dt} = -1 \cdot k_{79} \cdot \left(x_{45} \cdot x_{49} \cdot k_{48} / k_{71} - x_{50} \cdot k_{49}\right) / k_{79}\\ \frac{dx_{50}}{dt} = \left(1 \cdot k_{79} \cdot \left(x_{45} \cdot x_{49} \cdot k_{48} / k_{71} - x_{50} \cdot k_{49}\right) + -1 \cdot k_{79} \cdot x_{50} \cdot k_{50}\right) / k_{79}\\ \frac{dx_{51}}{dt} = \left(1 \cdot k_{79} \cdot x_{50} \cdot k_{50} + -1 \cdot k_{78} \cdot \left(x_{51} \cdot k_{54} - x_{52} \cdot k_{55}\right)\right) / k_{79}\\ \frac{dx_{52}}{dt} = \left(1 \cdot k_{78} \cdot \left(x_{51} \cdot k_{54} - x_{52} \cdot k_{55}\right) + -1 \cdot k_{78} \cdot \left(x_{52} \cdot x_{53} \cdot k_{56} - x_{54} \cdot k_{57}\right) + 1 \cdot k_{78} \cdot x_{54} \cdot k_{58}\right) / k_{78}\\ \frac{dx_{53}}{dt} = -1 \cdot k_{78} \cdot \left(x_{52} \cdot x_{53} \cdot k_{56} - x_{54} \cdot k_{57}\right) / k_{78}\\ \frac{dx_{54}}{dt} = \left(1 \cdot k_{78} \cdot \left(x_{52} \cdot x_{53} \cdot k_{56} - x_{54} \cdot k_{57}\right) + -1 \cdot k_{78} \cdot x_{54} \cdot k_{58}\right) / k_{78}\\ \frac{dx_{55}}{dt} = \left(1 \cdot k_{78} \cdot x_{54} \cdot k_{58} + -1 \cdot k_{78} \cdot \left(x_{55} \cdot x_{56} \cdot k_{59} - x_{30} \cdot k_{60}\right)\right) / k_{78}\\ \frac{dx_{56}}{dt} = -1 \cdot k_{78} \cdot \left(x_{55} \cdot x_{56} \cdot k_{59} - x_{30} \cdot k_{60}\right) / k_{78}\\ \frac{dx_{57}}{dt} = \left(1 \cdot k_{78} \cdot \left(x_{20} \cdot k_{33} - x_{57} \cdot k_{34}\right) + -1 \cdot k_{79} \cdot \left(x_{57} \cdot x_{21} \cdot k_{35} / k_{71} - x_{39} \cdot k_{36}\right) + -1 \cdot k_{79} \cdot \left(x_{57} \cdot x_{57} \cdot k_{37} / k_{71} - x_{58} \cdot k_{38}\right)\right) / k_{79}\\ \frac{dx_{58}}{dt} = \left(1 \cdot k_{79} \cdot \left(x_{57} \cdot x_{57} \cdot k_{37} / k_{71} - x_{58} \cdot k_{38}\right) + -1 \cdot k_{79} \cdot \left(x_{58} \cdot x_{58} \cdot k_{41} / k_{71} - x_{40} \cdot k_{42}\right) + -1 \cdot k_{79} \cdot \left(x_{21} \cdot x_{58} \cdot k_{39} / k_{71} - x_{41} \cdot k_{40}\right)\right) / k_{79}