\frac{dx_{1}}{dt} = 0\\
\frac{dx_{3}}{dt} = 0\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{69} \cdot k_{37} \cdot x_{27} / k_{67} \cdot x_{6} / k_{69} / \left(k_{38} + x_{6} / k_{69}\right) + -1 \cdot k_{64} \cdot k_{19} \cdot x_{24} / k_{64} \cdot \left(x_{5} / k_{64} \cdot x_{11} / k_{64} - x_{10} / k_{64} \cdot x_{12} / k_{64} / k_{20}\right) / \left(k_{23} \cdot x_{5} / k_{64} + k_{22} \cdot x_{11} / k_{64} + x_{5} / k_{64} \cdot x_{11} / k_{64} + k_{22} \cdot k_{27} / \left(k_{21} \cdot k_{28}\right) \cdot \left(k_{24} \cdot x_{10} / k_{64} \cdot \left(1 + x_{5} / k_{64} / k_{26}\right) + k_{21} \cdot x_{12} / k_{64} \cdot \left(1 + x_{11} / k_{64} / k_{27}\right) + x_{10} / k_{64} \cdot x_{12} / k_{64}\right)\right)\right) / k_{64}\\
\frac{dx_{6}}{dt} = \left(\frac{146199}{50} \cdot k_{69} \cdot k_{45} \cdot x_{21} / k_{69} \cdot \left(k_{4} \cdot \left(k_{3} \cdot x_{2} / k_{69} + x_{4} / k_{69}\right) - x_{6} / k_{69} \cdot k_{10}^{2} / k_{44}\right) / \left(k_{6} \cdot \left(k_{4} \cdot \left(k_{3} \cdot x_{2} / k_{69} + x_{4} / k_{69}\right) + k_{41} \cdot \left(1 + x_{6} / k_{69} \cdot k_{10}^{2} / k_{43}\right)\right)\right) + \frac{146199}{50} \cdot k_{69} \cdot k_{46} \cdot x_{21} / k_{69} \cdot x_{8} / k_{69} \cdot k_{8} / \left(k_{6} \cdot \left(x_{8} / k_{69} \cdot k_{8} + k_{42}\right)\right) + -1 \cdot k_{69} \cdot k_{37} \cdot x_{27} / k_{67} \cdot x_{6} / k_{69} / \left(k_{38} + x_{6} / k_{69}\right)\right) / k_{69}\\
\frac{dx_{7}}{dt} = \left(\frac{198413}{100} \cdot k_{69} \cdot k_{45} \cdot x_{21} / k_{69} \cdot k_{5} \cdot \left(k_{3} \cdot x_{2} / k_{69} + x_{4} / k_{69}\right) / \left(k_{6} \cdot \left(k_{5} \cdot \left(k_{3} \cdot x_{2} / k_{69} + x_{4} / k_{69}\right) + k_{41}\right)\right) + \frac{198413}{100} \cdot k_{69} \cdot k_{46} \cdot x_{21} / k_{69} \cdot x_{8} / k_{69} \cdot k_{8} / \left(k_{6} \cdot \left(x_{8} / k_{69} \cdot k_{8} + k_{42}\right)\right) + -2 \cdot k_{69} \cdot k_{11} \cdot x_{23} / k_{69} \cdot \left(x_{7} / k_{69}^{2} - x_{9} / k_{69} \cdot x_{8} / k_{69} / k_{12}\right) / \left(k_{13} \cdot x_{7} / k_{69} + x_{7} / k_{69}^{2} + k_{13} \cdot k_{16} / \left(k_{14} \cdot k_{18}\right) \cdot \left(k_{15} \cdot x_{9} / k_{69} \cdot \left(1 + x_{7} / k_{69} / k_{16}\right) + k_{14} \cdot x_{8} / k_{69} \cdot \left(1 + x_{7} / k_{69} / k_{16}\right) + x_{9} / k_{69} \cdot x_{8} / k_{69}\right)\right)\right) / k_{69}\\
\frac{dx_{8}}{dt} = \left(\frac{-120773}{100} \cdot k_{69} \cdot k_{46} \cdot x_{21} / k_{69} \cdot x_{8} / k_{69} \cdot k_{8} / \left(k_{6} \cdot \left(x_{8} / k_{69} \cdot k_{8} + k_{42}\right)\right) + 1 \cdot k_{69} \cdot k_{11} \cdot x_{23} / k_{69} \cdot \left(x_{7} / k_{69}^{2} - x_{9} / k_{69} \cdot x_{8} / k_{69} / k_{12}\right) / \left(k_{13} \cdot x_{7} / k_{69} + x_{7} / k_{69}^{2} + k_{13} \cdot k_{16} / \left(k_{14} \cdot k_{18}\right) \cdot \left(k_{15} \cdot x_{9} / k_{69} \cdot \left(1 + x_{7} / k_{69} / k_{16}\right) + k_{14} \cdot x_{8} / k_{69} \cdot \left(1 + x_{7} / k_{69} / k_{16}\right) + x_{9} / k_{69} \cdot x_{8} / k_{69}\right)\right)\right) / k_{69}\\
\frac{dx_{9}}{dt} = \left(-1 \cdot k_{69} \cdot k_{39} \cdot x_{28} / k_{67} \cdot x_{9} / k_{69} / \left(k_{40} + x_{9} / k_{69}\right) + 1 \cdot k_{69} \cdot k_{11} \cdot x_{23} / k_{69} \cdot \left(x_{7} / k_{69}^{2} - x_{9} / k_{69} \cdot x_{8} / k_{69} / k_{12}\right) / \left(k_{13} \cdot x_{7} / k_{69} + x_{7} / k_{69}^{2} + k_{13} \cdot k_{16} / \left(k_{14} \cdot k_{18}\right) \cdot \left(k_{15} \cdot x_{9} / k_{69} \cdot \left(1 + x_{7} / k_{69} / k_{16}\right) + k_{14} \cdot x_{8} / k_{69} \cdot \left(1 + x_{7} / k_{69} / k_{16}\right) + x_{9} / k_{69} \cdot x_{8} / k_{69}\right)\right)\right) / k_{69}\\
\frac{dx_{10}}{dt} = \left(1 \cdot k_{69} \cdot k_{39} \cdot x_{28} / k_{67} \cdot x_{9} / k_{69} / \left(k_{40} + x_{9} / k_{69}\right) + -1 \cdot k_{64} \cdot x_{26} / k_{64} \cdot \left(k_{48} \cdot k_{72} / k_{64} \cdot x_{10} / k_{64} / \left(k_{54} \cdot k_{51}\right) - k_{48} \cdot k_{58} \cdot k_{55} / \left(k_{50} \cdot k_{54} \cdot k_{51}\right) \cdot k_{76} / k_{64} \cdot k_{73} / k_{64} / \left(k_{58} \cdot k_{55}\right)\right) / \left(1 + k_{72} / k_{64} / k_{52} + x_{10} / k_{64} / k_{54} \cdot \left(1 + k_{76} / k_{64} / k_{59} + x_{17} / k_{64} / k_{61} + x_{18} / k_{64} / k_{60} + x_{16} / k_{64} / k_{62}\right) + k_{72} / k_{64} \cdot x_{10} / k_{64} / \left(k_{54} \cdot k_{51}\right) + k_{76} / k_{64} / k_{56} + k_{73} / k_{64} / k_{58} + k_{76} / k_{64} \cdot k_{73} / k_{64} / \left(k_{58} \cdot k_{55}\right)\right) + 1 \cdot k_{64} \cdot k_{19} \cdot x_{24} / k_{64} \cdot \left(x_{5} / k_{64} \cdot x_{11} / k_{64} - x_{10} / k_{64} \cdot x_{12} / k_{64} / k_{20}\right) / \left(k_{23} \cdot x_{5} / k_{64} + k_{22} \cdot x_{11} / k_{64} + x_{5} / k_{64} \cdot x_{11} / k_{64} + k_{22} \cdot k_{27} / \left(k_{21} \cdot k_{28}\right) \cdot \left(k_{24} \cdot x_{10} / k_{64} \cdot \left(1 + x_{5} / k_{64} / k_{26}\right) + k_{21} \cdot x_{12} / k_{64} \cdot \left(1 + x_{11} / k_{64} / k_{27}\right) + x_{10} / k_{64} \cdot x_{12} / k_{64}\right)\right)\right) / k_{64}\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{64} \cdot k_{29} \cdot x_{25} / k_{64} \cdot \left(x_{12} / k_{64} \cdot k_{74} / k_{64} - k_{75} / k_{64} \cdot x_{11} / k_{64} / k_{36}\right) / \left(k_{31} \cdot k_{33} + k_{33} \cdot x_{12} / k_{64} + k_{30} \cdot k_{74} / k_{64} + x_{12} / k_{64} \cdot k_{74} / k_{64} + k_{31} \cdot k_{33} / \left(k_{35} \cdot k_{32}\right) \cdot \left(k_{32} \cdot k_{75} / k_{64} + k_{34} \cdot x_{11} / k_{64} + k_{75} / k_{64} \cdot x_{11} / k_{64}\right)\right) + -1 \cdot k_{64} \cdot k_{19} \cdot x_{24} / k_{64} \cdot \left(x_{5} / k_{64} \cdot x_{11} / k_{64} - x_{10} / k_{64} \cdot x_{12} / k_{64} / k_{20}\right) / \left(k_{23} \cdot x_{5} / k_{64} + k_{22} \cdot x_{11} / k_{64} + x_{5} / k_{64} \cdot x_{11} / k_{64} + k_{22} \cdot k_{27} / \left(k_{21} \cdot k_{28}\right) \cdot \left(k_{24} \cdot x_{10} / k_{64} \cdot \left(1 + x_{5} / k_{64} / k_{26}\right) + k_{21} \cdot x_{12} / k_{64} \cdot \left(1 + x_{11} / k_{64} / k_{27}\right) + x_{10} / k_{64} \cdot x_{12} / k_{64}\right)\right)\right) / k_{64}\\
\frac{dx_{12}}{dt} = \left(-1 \cdot k_{64} \cdot k_{29} \cdot x_{25} / k_{64} \cdot \left(x_{12} / k_{64} \cdot k_{74} / k_{64} - k_{75} / k_{64} \cdot x_{11} / k_{64} / k_{36}\right) / \left(k_{31} \cdot k_{33} + k_{33} \cdot x_{12} / k_{64} + k_{30} \cdot k_{74} / k_{64} + x_{12} / k_{64} \cdot k_{74} / k_{64} + k_{31} \cdot k_{33} / \left(k_{35} \cdot k_{32}\right) \cdot \left(k_{32} \cdot k_{75} / k_{64} + k_{34} \cdot x_{11} / k_{64} + k_{75} / k_{64} \cdot x_{11} / k_{64}\right)\right) + 1 \cdot k_{64} \cdot k_{19} \cdot x_{24} / k_{64} \cdot \left(x_{5} / k_{64} \cdot x_{11} / k_{64} - x_{10} / k_{64} \cdot x_{12} / k_{64} / k_{20}\right) / \left(k_{23} \cdot x_{5} / k_{64} + k_{22} \cdot x_{11} / k_{64} + x_{5} / k_{64} \cdot x_{11} / k_{64} + k_{22} \cdot k_{27} / \left(k_{21} \cdot k_{28}\right) \cdot \left(k_{24} \cdot x_{10} / k_{64} \cdot \left(1 + x_{5} / k_{64} / k_{26}\right) + k_{21} \cdot x_{12} / k_{64} \cdot \left(1 + x_{11} / k_{64} / k_{27}\right) + x_{10} / k_{64} \cdot x_{12} / k_{64}\right)\right)\right) / k_{64}\\
\frac{dx_{13}}{dt} = 0\\
\frac{dx_{14}}{dt} = 0\\
\frac{dx_{15}}{dt} = 0\\
\frac{dx_{16}}{dt} = 0 / k_{64}\\
\frac{dx_{17}}{dt} = 0 / k_{64}\\
\frac{dx_{18}}{dt} = 0 / k_{64}\\
\frac{dx_{19}}{dt} = 0\\
\frac{dx_{20}}{dt} = 0\\
\frac{dx_{21}}{dt} = 0 / k_{69}\\
\frac{dx_{22}}{dt} = 0 / k_{69}\\
\frac{dx_{23}}{dt} = 0 / k_{69}\\
\frac{dx_{24}}{dt} = 0 / k_{64}\\
\frac{dx_{25}}{dt} = 0 / k_{64}\\
\frac{dx_{26}}{dt} = 0 / k_{64}\\
\frac{dx_{27}}{dt} = 0 / k_{67}\\
\frac{dx_{28}}{dt} = 0 / k_{67}\\
\frac{dx_{4}}{dt} = x_{22} / k_{69} \cdot k_{47} \cdot \left(1 - 1 / \left(1 + \exp\left(\left(-100\right) \cdot \left(x_{4} / k_{69} / \left(x_{2} / k_{69} \cdot \left(1 - k_{3}\right)\right) - \frac{3}{10}\right)\right)\right) + 1 / \left(1 + \exp\left(\left(-100\right) \cdot \left(x_{4} / k_{69} / \left(x_{2} / k_{69} \cdot \left(1 - k_{3}\right)\right) - \frac{3}{10}\right)\right)\right) \cdot \left(1 - \frac{1429}{1000} \cdot \left(x_{4} / k_{69} / \left(x_{2} / k_{69} \cdot \left(1 - k_{3}\right)\right) - \frac{3}{10}\right)\right)\right) \cdot k_{69}