\frac{dx_{1}}{dt} = 1 \cdot k_{69} \cdot \left(x_{2} - x_{1} \cdot k_{46}\right) / k_{69} / k_{69}\\
\frac{dx_{2}}{dt} = 1 \cdot k_{69} \cdot \left(x_{1} \cdot k_{46} - x_{2}\right) / k_{69} / k_{69}\\
\frac{dx_{3}}{dt} = 1 \cdot k_{69} \cdot \left(x_{5} \cdot k_{20} - x_{2} \cdot x_{3} - x_{3} \cdot k_{3} \cdot \left(x_{21} + x_{23}\right)\right) / k_{69} / k_{69}\\
\frac{dx_{4}}{dt} = 1 \cdot k_{69} \cdot \left(x_{2} \cdot x_{3} - x_{4} \cdot \left(x_{21} + x_{23}\right)\right) / k_{69} / k_{69}\\
\frac{dx_{5}}{dt} = 1 \cdot k_{69} \cdot \left(x_{4} \cdot \left(x_{21} + x_{23}\right) - x_{5} \cdot k_{20} + x_{3} \cdot k_{3} \cdot \left(x_{21} + x_{23}\right)\right) / k_{69} / k_{69}\\
\frac{dx_{6}}{dt} = 1 \cdot k_{69} \cdot \left(x_{7} \cdot k_{21} + x_{6} \cdot \left(x_{4} \cdot k_{12} + k_{48} \cdot k_{44}\right) \cdot \left(k_{49} - 1\right)\right) / k_{69} / k_{69}\\
\frac{dx_{7}}{dt} = 1 \cdot k_{69} \cdot \left(\left(-x_{7}\right) \cdot k_{21} - x_{6} \cdot \left(x_{4} \cdot k_{12} + k_{48} \cdot k_{44}\right) \cdot \left(k_{49} - 1\right)\right) / k_{69} / k_{69}\\
\frac{dx_{8}}{dt} = 1 \cdot k_{69} \cdot \left(x_{9} \cdot k_{22} - x_{7} \cdot x_{8} \cdot k_{13}\right) / k_{69} / k_{69}\\
\frac{dx_{9}}{dt} = 1 \cdot k_{69} \cdot \left(x_{7} \cdot x_{8} \cdot k_{13} - x_{9} \cdot k_{22}\right) / k_{69} / k_{69}\\
\frac{dx_{10}}{dt} = 1 \cdot k_{69} \cdot \left(x_{11} \cdot k_{23} + x_{12} \cdot k_{24} + x_{10} \cdot \left(\frac{83}{100} \cdot k_{50} - 1\right) \cdot \left(x_{7} \cdot k_{7} + k_{48} \cdot k_{45}\right) + x_{9} \cdot x_{10} \cdot k_{4} \cdot \left(\frac{83}{100} \cdot k_{50} - 1\right)\right) / k_{69} / k_{69}\\
\frac{dx_{11}}{dt} = 1 \cdot k_{69} \cdot \left(x_{13} \cdot k_{24} - x_{11} \cdot k_{23} + 2 \cdot x_{7} \cdot x_{11} \cdot k_{4} \cdot \left(\frac{83}{100} \cdot k_{50} - 1\right) - x_{9} \cdot x_{10} \cdot k_{4} \cdot \left(\frac{83}{100} \cdot k_{50} - 1\right)\right) / k_{69} / k_{69}\\
\frac{dx_{12}}{dt} = 1 \cdot k_{69} \cdot \left(x_{13} \cdot k_{23} - x_{12} \cdot k_{24} - x_{10} \cdot \left(\frac{83}{100} \cdot k_{50} - 1\right) \cdot \left(x_{7} \cdot k_{7} + k_{48} \cdot k_{45}\right) + 2 \cdot x_{9} \cdot x_{12} \cdot k_{7} \cdot \left(\frac{83}{100} \cdot k_{50} - 1\right)\right) / k_{69} / k_{69}\\
\frac{dx_{13}}{dt} = 1 \cdot k_{69} \cdot \left(\left(-x_{13}\right) \cdot k_{23} - x_{13} \cdot k_{24} - 2 \cdot x_{7} \cdot x_{11} \cdot k_{4} \cdot \left(\frac{83}{100} \cdot k_{50} - 1\right) - 2 \cdot x_{9} \cdot x_{12} \cdot k_{7} \cdot \left(\frac{83}{100} \cdot k_{50} - 1\right)\right) / k_{69} / k_{69}\\
\frac{dx_{14}}{dt} = 1 \cdot k_{69} \cdot \left(x_{15} \cdot k_{25} - x_{14} \cdot k_{8} \cdot \left(x_{11} + x_{13}\right)\right) / k_{69} / k_{69}\\
\frac{dx_{15}}{dt} = 1 \cdot k_{69} \cdot \left(x_{14} \cdot k_{8} \cdot \left(x_{11} + x_{13}\right) - x_{15} \cdot k_{25}\right) / k_{69} / k_{69}\\
\frac{dx_{16}}{dt} = 1 \cdot k_{69} \cdot \left(x_{17} \cdot k_{15} + x_{18} \cdot k_{16} - x_{16} \cdot \left(k_{47} \cdot k_{14} + k_{1} \cdot \left(x_{16} / \left(x_{16} + x_{17} + x_{18} + x_{19}\right) - 1\right) \cdot \left(x_{14} / \left(x_{14} + x_{15}\right) - 1\right)\right) - x_{16} \cdot k_{5} \cdot \left(x_{11} + x_{13}\right)\right) / k_{69} / k_{69}\\
\frac{dx_{17}}{dt} = 1 \cdot k_{69} \cdot \left(x_{19} \cdot k_{16} - x_{17} \cdot k_{15} + x_{16} \cdot \left(k_{47} \cdot k_{14} + k_{1} \cdot \left(x_{16} / \left(x_{16} + x_{17} + x_{18} + x_{19}\right) - 1\right) \cdot \left(x_{14} / \left(x_{14} + x_{15}\right) - 1\right)\right) - x_{17} \cdot k_{9} \cdot \left(x_{11} + x_{13}\right)\right) / k_{69} / k_{69}\\
\frac{dx_{18}}{dt} = 1 \cdot k_{69} \cdot \left(x_{19} \cdot k_{15} - x_{18} \cdot k_{16} - x_{18} \cdot \left(k_{47} \cdot k_{14} + k_{10} \cdot \left(x_{16} / \left(x_{16} + x_{17} + x_{18} + x_{19}\right) - 1\right) \cdot \left(x_{14} / \left(x_{14} + x_{15}\right) - 1\right)\right) + x_{16} \cdot k_{5} \cdot \left(x_{11} + x_{13}\right)\right) / k_{69} / k_{69}\\
\frac{dx_{19}}{dt} = 1 \cdot k_{69} \cdot \left(x_{18} \cdot \left(k_{47} \cdot k_{14} + k_{10} \cdot \left(x_{16} / \left(x_{16} + x_{17} + x_{18} + x_{19}\right) - 1\right) \cdot \left(x_{14} / \left(x_{14} + x_{15}\right) - 1\right)\right) - x_{19} \cdot k_{16} - x_{19} \cdot k_{15} + x_{17} \cdot k_{9} \cdot \left(x_{11} + x_{13}\right)\right) / k_{69} / k_{69}\\
\frac{dx_{20}}{dt} = 1 \cdot k_{69} \cdot \left(x_{21} \cdot k_{17} + x_{22} \cdot k_{18} - x_{20} \cdot \left(k_{47} \cdot k_{14} + k_{2} \cdot \left(x_{16} / \left(x_{16} + x_{17} + x_{18} + x_{19}\right) - 1\right) \cdot \left(x_{14} / \left(x_{14} + x_{15}\right) - 1\right)\right) - x_{20} \cdot x_{8} \cdot k_{6}\right) / k_{69} / k_{69}\\
\frac{dx_{21}}{dt} = 1 \cdot k_{69} \cdot \left(x_{23} \cdot k_{18} - x_{21} \cdot k_{17} + x_{20} \cdot \left(k_{47} \cdot k_{14} + k_{2} \cdot \left(x_{16} / \left(x_{16} + x_{17} + x_{18} + x_{19}\right) - 1\right) \cdot \left(x_{14} / \left(x_{14} + x_{15}\right) - 1\right)\right) - 2 \cdot x_{21} \cdot x_{8} \cdot k_{2}\right) / k_{69} / k_{69}\\
\frac{dx_{22}}{dt} = 1 \cdot k_{69} \cdot \left(x_{23} \cdot k_{17} - x_{22} \cdot k_{18} - x_{22} \cdot \left(k_{47} \cdot k_{14} + 2 \cdot k_{6} \cdot \left(x_{16} / \left(x_{16} + x_{17} + x_{18} + x_{19}\right) - 1\right) \cdot \left(x_{14} / \left(x_{14} + x_{15}\right) - 1\right)\right) + x_{20} \cdot x_{8} \cdot k_{6}\right) / k_{69} / k_{69}\\
\frac{dx_{23}}{dt} = 1 \cdot k_{69} \cdot \left(x_{22} \cdot \left(k_{47} \cdot k_{14} + 2 \cdot k_{6} \cdot \left(x_{16} / \left(x_{16} + x_{17} + x_{18} + x_{19}\right) - 1\right) \cdot \left(x_{14} / \left(x_{14} + x_{15}\right) - 1\right)\right) - x_{23} \cdot k_{18} - x_{23} \cdot k_{17} + 2 \cdot x_{21} \cdot x_{8} \cdot k_{2}\right) / k_{69} / k_{69}\\
\frac{dx_{24}}{dt} = 1 \cdot k_{69} \cdot \left(x_{25} \cdot k_{19} - x_{24} \cdot \left(k_{47} \cdot k_{14} + k_{11} \cdot \left(x_{16} / \left(x_{16} + x_{17} + x_{18} + x_{19}\right) - 1\right) \cdot \left(x_{14} / \left(x_{14} + x_{15}\right) - 1\right)\right)\right) / k_{69} / k_{69}\\
\frac{dx_{25}}{dt} = 1 \cdot k_{69} \cdot \left(x_{24} \cdot \left(k_{47} \cdot k_{14} + k_{11} \cdot \left(x_{16} / \left(x_{16} + x_{17} + x_{18} + x_{19}\right) - 1\right) \cdot \left(x_{14} / \left(x_{14} + x_{15}\right) - 1\right)\right) - x_{25} \cdot k_{19}\right) / k_{69} / k_{69}