\frac{dx_{1}}{dt} = \left(-1 \cdot k_{49} \cdot \left(k_{1} \cdot x_{3} \cdot x_{1} - k_{1} / k_{47} \cdot x_{2}\right) + 1 \cdot k_{49} \cdot k_{5} \cdot x_{2}\right) / k_{49}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{49} \cdot \left(k_{1} \cdot x_{3} \cdot x_{1} - k_{1} / k_{47} \cdot x_{2}\right) + -1 \cdot k_{49} \cdot k_{5} \cdot x_{2}\right) / k_{49}\\
\frac{dx_{3}}{dt} = \left(-1 \cdot k_{49} \cdot \left(k_{1} \cdot x_{3} \cdot x_{1} - k_{1} / k_{47} \cdot x_{2}\right) + -1 \cdot k_{49} \cdot \left(k_{2} \cdot x_{3} \cdot x_{4} - k_{2} / k_{48} \cdot x_{5}\right)\right) / k_{49}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot k_{49} \cdot \left(k_{2} \cdot x_{3} \cdot x_{4} - k_{2} / k_{48} \cdot x_{5}\right) + 1 \cdot k_{49} \cdot k_{5} \cdot x_{5}\right) / k_{49}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{49} \cdot \left(k_{2} \cdot x_{3} \cdot x_{4} - k_{2} / k_{48} \cdot x_{5}\right) + -1 \cdot k_{49} \cdot k_{5} \cdot x_{5}\right) / k_{49}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{49} \cdot k_{5} \cdot x_{2} + 1 \cdot k_{49} \cdot k_{5} \cdot x_{5} + -1 \cdot k_{49} \cdot k_{6} \cdot x_{6} + -1 \cdot k_{49} \cdot \left(1 - k_{23}\right) / k_{23} \cdot k_{6} \cdot x_{6}\right) / k_{49}\\
\frac{dx_{7}}{dt} = 1 \cdot k_{49} \cdot k_{6} \cdot x_{6} / k_{49}\\
\frac{dx_{8}}{dt} = \left(8 \cdot k_{49} \cdot k_{6} \cdot x_{6} + -1 \cdot k_{49} \cdot k_{8} \cdot x_{8}\right) / k_{49}\\
\frac{dx_{9}}{dt} = \left(1 \cdot k_{49} \cdot k_{8} \cdot x_{8} + -1 \cdot k_{49} \cdot k_{14} \cdot x_{9} \cdot x_{14} + 1 \cdot k_{49} \cdot k_{13} \cdot x_{19} \cdot x_{13} + -1 \cdot k_{49} \cdot k_{20} \cdot x_{9}\right) / k_{49}\\
\frac{dx_{10}}{dt} = \left(1 \cdot k_{49} \cdot k_{11} \cdot x_{9} + -1 \cdot k_{49} \cdot k_{12} \cdot x_{10} \cdot x_{11} + -1 \cdot k_{49} \cdot k_{19} \cdot x_{10}\right) / k_{49}\\
\frac{dx_{11}}{dt} = \left(-1 \cdot k_{49} \cdot k_{12} \cdot x_{10} \cdot x_{11} + -1 \cdot k_{49} \cdot k_{12} \cdot x_{18} \cdot x_{11} + 1 \cdot k_{49} \cdot k_{17} \cdot x_{28} \cdot x_{29} \cdot x_{30} + -37 \cdot k_{49} \cdot k_{18} \cdot x_{16} \cdot x_{11} \cdot x_{32} \cdot x_{13} \cdot x_{33} \cdot x_{14} \cdot x_{34} \cdot x_{31} / \left(\left(x_{11} + k_{50}\right) \cdot \left(x_{32} + k_{51}\right) \cdot \left(x_{13} + k_{52}\right) \cdot \left(x_{33} + k_{53}\right) \cdot \left(x_{14} + k_{54}\right) \cdot \left(x_{34} + k_{55}\right) \cdot \left(x_{31} + k_{56}\right)\right)\right) / k_{49}\\
\frac{dx_{12}}{dt} = \left(1 \cdot k_{49} \cdot k_{12} \cdot x_{10} \cdot x_{11} + -1 \cdot k_{49} \cdot k_{13} \cdot x_{12} \cdot x_{13} + -1 \cdot k_{49} \cdot k_{22} \cdot x_{12}\right) / k_{49}\\
\frac{dx_{13}}{dt} = \left(-71 \cdot k_{49} \cdot k_{13} \cdot x_{12} \cdot x_{13} + -71 \cdot k_{49} \cdot k_{13} \cdot x_{19} \cdot x_{13} + 1 \cdot k_{49} \cdot k_{9} / k_{24} \cdot x_{24} + -433 \cdot k_{49} \cdot k_{18} \cdot x_{16} \cdot x_{11} \cdot x_{32} \cdot x_{13} \cdot x_{33} \cdot x_{14} \cdot x_{34} \cdot x_{31} / \left(\left(x_{11} + k_{50}\right) \cdot \left(x_{32} + k_{51}\right) \cdot \left(x_{13} + k_{52}\right) \cdot \left(x_{33} + k_{53}\right) \cdot \left(x_{14} + k_{54}\right) \cdot \left(x_{34} + k_{55}\right) \cdot \left(x_{31} + k_{56}\right)\right)\right) / k_{49}\\
\frac{dx_{14}}{dt} = \left(\frac{-17}{2} \cdot k_{49} \cdot k_{14} \cdot x_{9} \cdot x_{14} + 1 \cdot k_{49} \cdot k_{9} / k_{24} \cdot \left(1 - k_{25}\right) \cdot x_{26} + -2932 \cdot k_{49} \cdot k_{18} \cdot x_{16} \cdot x_{11} \cdot x_{32} \cdot x_{13} \cdot x_{33} \cdot x_{14} \cdot x_{34} \cdot x_{31} / \left(\left(x_{11} + k_{50}\right) \cdot \left(x_{32} + k_{51}\right) \cdot \left(x_{13} + k_{52}\right) \cdot \left(x_{33} + k_{53}\right) \cdot \left(x_{14} + k_{54}\right) \cdot \left(x_{34} + k_{55}\right) \cdot \left(x_{31} + k_{56}\right)\right)\right) / k_{49}\\
\frac{dx_{15}}{dt} = \left(1 \cdot k_{49} \cdot k_{14} \cdot x_{9} \cdot x_{14} + -1 \cdot k_{49} \cdot k_{15} \cdot x_{15} \cdot x_{31} + -1 \cdot k_{49} \cdot k_{20} \cdot x_{15}\right) / k_{49}\\
\frac{dx_{16}}{dt} = \left(1 \cdot k_{49} \cdot k_{15} \cdot x_{15} \cdot x_{31} + -8 \cdot k_{49} \cdot k_{18} \cdot x_{16} \cdot x_{11} \cdot x_{32} \cdot x_{13} \cdot x_{33} \cdot x_{14} \cdot x_{34} \cdot x_{31} / \left(\left(x_{11} + k_{50}\right) \cdot \left(x_{32} + k_{51}\right) \cdot \left(x_{13} + k_{52}\right) \cdot \left(x_{33} + k_{53}\right) \cdot \left(x_{14} + k_{54}\right) \cdot \left(x_{34} + k_{55}\right) \cdot \left(x_{31} + k_{56}\right)\right) + -1 \cdot k_{49} \cdot k_{20} \cdot x_{16}\right) / k_{49}\\
\frac{dx_{17}}{dt} = \left(1 \cdot k_{49} \cdot k_{13} \cdot x_{12} \cdot x_{13} + -1 \cdot k_{49} \cdot k_{20} \cdot x_{17}\right) / k_{49}\\
\frac{dx_{18}}{dt} = \left(1 \cdot k_{49} \cdot k_{10} \cdot x_{17} + -1 \cdot k_{49} \cdot k_{12} \cdot x_{18} \cdot x_{11} + -1 \cdot k_{49} \cdot k_{19} \cdot x_{18}\right) / k_{49}\\
\frac{dx_{19}}{dt} = \left(1 \cdot k_{49} \cdot k_{12} \cdot x_{18} \cdot x_{11} + -1 \cdot k_{49} \cdot k_{13} \cdot x_{19} \cdot x_{13} + -1 \cdot k_{49} \cdot k_{22} \cdot x_{19}\right) / k_{49}\\
\frac{dx_{20}}{dt} = \left(1 \cdot k_{49} \cdot k_{38} / k_{30} / 8 \cdot x_{9} + -1 \cdot k_{49} \cdot k_{21} \cdot x_{20}\right) / k_{49}\\
\frac{dx_{21}}{dt} = \left(1 \cdot k_{49} \cdot k_{38} / k_{31} / 8 \cdot x_{9} + -1 \cdot k_{49} \cdot k_{21} \cdot x_{21}\right) / k_{49}\\
\frac{dx_{22}}{dt} = \left(1 \cdot k_{49} \cdot k_{38} / k_{32} / 8 \cdot x_{9} + -1 \cdot k_{49} \cdot k_{21} \cdot x_{22}\right) / k_{49}\\
\frac{dx_{23}}{dt} = \left(1 \cdot k_{49} \cdot k_{38} / k_{33} / 8 \cdot x_{9} + -1 \cdot k_{49} \cdot k_{21} \cdot x_{23}\right) / k_{49}\\
\frac{dx_{24}}{dt} = \left(1 \cdot k_{49} \cdot k_{38} / k_{34} / 8 \cdot x_{9} + -1 \cdot k_{49} \cdot k_{21} \cdot x_{24}\right) / k_{49}\\
\frac{dx_{25}}{dt} = \left(1 \cdot k_{49} \cdot k_{38} / k_{35} / 8 \cdot x_{9} + -1 \cdot k_{49} \cdot k_{21} \cdot x_{25}\right) / k_{49}\\
\frac{dx_{26}}{dt} = \left(1 \cdot k_{49} \cdot k_{38} / k_{36} / 8 \cdot x_{9} + -1 \cdot k_{49} \cdot k_{21} \cdot x_{26}\right) / k_{49}\\
\frac{dx_{27}}{dt} = \left(1 \cdot k_{49} \cdot k_{38} / k_{37} / 8 \cdot x_{9} + -1 \cdot k_{49} \cdot k_{21} \cdot x_{27}\right) / k_{49}\\
\frac{dx_{28}}{dt} = \left(1 \cdot k_{49} \cdot k_{9} / k_{24} \cdot x_{21} + -1 \cdot k_{49} \cdot k_{17} \cdot x_{28} \cdot x_{29} \cdot x_{30}\right) / k_{49}\\
\frac{dx_{29}}{dt} = \left(1 \cdot k_{49} \cdot k_{9} / k_{24} \cdot x_{20} + -1 \cdot k_{49} \cdot k_{17} \cdot x_{28} \cdot x_{29} \cdot x_{30}\right) / k_{49}\\
\frac{dx_{30}}{dt} = \left(1 \cdot k_{49} \cdot k_{9} / k_{24} \cdot x_{22} + -1 \cdot k_{49} \cdot k_{17} \cdot x_{28} \cdot x_{29} \cdot x_{30}\right) / k_{49}\\
\frac{dx_{31}}{dt} = \left(-1 \cdot k_{49} \cdot k_{15} \cdot x_{15} \cdot x_{31} + 1 \cdot k_{49} \cdot k_{9} / k_{24} \cdot k_{26} \cdot x_{27} + -157 \cdot k_{49} \cdot k_{18} \cdot x_{16} \cdot x_{11} \cdot x_{32} \cdot x_{13} \cdot x_{33} \cdot x_{14} \cdot x_{34} \cdot x_{31} / \left(\left(x_{11} + k_{50}\right) \cdot \left(x_{32} + k_{51}\right) \cdot \left(x_{13} + k_{52}\right) \cdot \left(x_{33} + k_{53}\right) \cdot \left(x_{14} + k_{54}\right) \cdot \left(x_{34} + k_{55}\right) \cdot \left(x_{31} + k_{56}\right)\right)\right) / k_{49}\\
\frac{dx_{32}}{dt} = \left(1 \cdot k_{49} \cdot k_{9} / k_{24} \cdot x_{23} + -500 \cdot k_{49} \cdot k_{18} \cdot x_{16} \cdot x_{11} \cdot x_{32} \cdot x_{13} \cdot x_{33} \cdot x_{14} \cdot x_{34} \cdot x_{31} / \left(\left(x_{11} + k_{50}\right) \cdot \left(x_{32} + k_{51}\right) \cdot \left(x_{13} + k_{52}\right) \cdot \left(x_{33} + k_{53}\right) \cdot \left(x_{14} + k_{54}\right) \cdot \left(x_{34} + k_{55}\right) \cdot \left(x_{31} + k_{56}\right)\right)\right) / k_{49}\\
\frac{dx_{33}}{dt} = \left(1 \cdot k_{49} \cdot k_{9} / k_{24} \cdot x_{25} + -100 \cdot k_{49} \cdot k_{18} \cdot x_{16} \cdot x_{11} \cdot x_{32} \cdot x_{13} \cdot x_{33} \cdot x_{14} \cdot x_{34} \cdot x_{31} / \left(\left(x_{11} + k_{50}\right) \cdot \left(x_{32} + k_{51}\right) \cdot \left(x_{13} + k_{52}\right) \cdot \left(x_{33} + k_{53}\right) \cdot \left(x_{14} + k_{54}\right) \cdot \left(x_{34} + k_{55}\right) \cdot \left(x_{31} + k_{56}\right)\right)\right) / k_{49}\\
\frac{dx_{34}}{dt} = \left(1 \cdot k_{49} \cdot k_{9} / k_{24} \cdot k_{25} \cdot x_{26} + -40 \cdot k_{49} \cdot k_{18} \cdot x_{16} \cdot x_{11} \cdot x_{32} \cdot x_{13} \cdot x_{33} \cdot x_{14} \cdot x_{34} \cdot x_{31} / \left(\left(x_{11} + k_{50}\right) \cdot \left(x_{32} + k_{51}\right) \cdot \left(x_{13} + k_{52}\right) \cdot \left(x_{33} + k_{53}\right) \cdot \left(x_{14} + k_{54}\right) \cdot \left(x_{34} + k_{55}\right) \cdot \left(x_{31} + k_{56}\right)\right)\right) / k_{49}\\
\frac{dx_{35}}{dt} = 1 \cdot k_{49} \cdot k_{18} \cdot x_{16} \cdot x_{11} \cdot x_{32} \cdot x_{13} \cdot x_{33} \cdot x_{14} \cdot x_{34} \cdot x_{31} / \left(\left(x_{11} + k_{50}\right) \cdot \left(x_{32} + k_{51}\right) \cdot \left(x_{13} + k_{52}\right) \cdot \left(x_{33} + k_{53}\right) \cdot \left(x_{14} + k_{54}\right) \cdot \left(x_{34} + k_{55}\right) \cdot \left(x_{31} + k_{56}\right)\right) / k_{49}