\frac{dx_{1}}{dt} = 0 / k_{57}\\
\frac{dx_{2}}{dt} = -1 \cdot \left(k_{26} / \left(k_{29} \cdot k_{28}\right) \cdot x_{24} \cdot x_{21} \cdot x_{2} - k_{27} / k_{28} \cdot x_{24} \cdot x_{23}\right) / \left(1 + x_{21} / k_{29} + x_{2} / k_{29} + x_{21} \cdot x_{2} / \left(k_{29} \cdot k_{28}\right) + x_{23} / k_{28}\right) / k_{57}\\
\frac{dx_{3}}{dt} = \left(-1 \cdot x_{8} \cdot \left(k_{6} / k_{7} \cdot x_{3} - k_{8} / k_{9} \cdot x_{7}\right) / \left(1 + x_{3} / k_{7} + x_{7} / k_{9}\right) + -1 \cdot \left(k_{42} / \left(k_{45} \cdot k_{44}\right) \cdot x_{1} \cdot x_{3} \cdot x_{23} - k_{43} / k_{44} \cdot x_{1} \cdot x_{31}\right) / \left(1 + x_{3} / k_{45} + x_{23} / k_{45} + x_{3} \cdot x_{23} / \left(k_{45} \cdot k_{44}\right) + x_{31} / k_{44}\right)\right) / k_{57}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot x_{36} \cdot \left(k_{1} \cdot x_{4} / k_{2} - k_{3} \cdot x_{5} / k_{4} \cdot x_{28} / k_{5}\right) / \left(x_{4} / k_{2} + \left(1 + x_{5} / k_{4}\right) \cdot \left(1 + x_{28} / k_{5}\right)\right) + 1 \cdot x_{6} \cdot \left(k_{33} \cdot x_{26} / k_{34} - k_{35} \cdot x_{27} / k_{36} \cdot x_{4} / k_{37}\right) / \left(x_{26} / k_{34} + \left(1 + x_{27} / k_{36}\right) \cdot \left(1 + x_{4} / k_{37}\right)\right) + 1 \cdot x_{6} \cdot \left(k_{46} \cdot x_{31} / k_{47} - k_{48} \cdot x_{22} / k_{49} \cdot x_{4} / k_{50}\right) / \left(x_{31} / k_{47} + \left(1 + x_{22} / k_{49}\right) \cdot \left(1 + x_{4} / k_{50}\right)\right)\right) / k_{58}\\
\frac{dx_{5}}{dt} = 1 \cdot x_{36} \cdot \left(k_{1} \cdot x_{4} / k_{2} - k_{3} \cdot x_{5} / k_{4} \cdot x_{28} / k_{5}\right) / \left(x_{4} / k_{2} + \left(1 + x_{5} / k_{4}\right) \cdot \left(1 + x_{28} / k_{5}\right)\right) / k_{58}\\
\frac{dx_{6}}{dt} = 0 / k_{58}\\
\frac{dx_{7}}{dt} = 1 \cdot x_{8} \cdot \left(k_{6} / k_{7} \cdot x_{3} - k_{8} / k_{9} \cdot x_{7}\right) / \left(1 + x_{3} / k_{7} + x_{7} / k_{9}\right) / k_{57}\\
\frac{dx_{8}}{dt} = 0 / k_{57}\\
\frac{dx_{9}}{dt} = -1 \cdot x_{30} \cdot \left(k_{38} / k_{39} \cdot x_{9} - k_{40} / k_{41} \cdot x_{29}\right) / \left(1 + x_{9} / k_{39} + x_{29} / k_{41}\right) / k_{58}\\
\frac{dx_{10}}{dt} = -1 \cdot \left(k_{18} \cdot x_{15} \cdot x_{11} \cdot x_{10} \cdot x_{14} - k_{19} \cdot x_{16}\right) / k_{59}\\
\frac{dx_{11}}{dt} = \left(1 \cdot x_{15} \cdot \left(k_{13} \cdot x_{13} / k_{14} - k_{15} \cdot x_{11} / k_{16} \cdot x_{12} / k_{17}\right) / \left(x_{13} / k_{14} + \left(1 + x_{11} / k_{16}\right) \cdot \left(1 + x_{12} / k_{17}\right)\right) + -1 \cdot \left(k_{18} \cdot x_{15} \cdot x_{11} \cdot x_{10} \cdot x_{14} - k_{19} \cdot x_{16}\right)\right) / k_{59}\\
\frac{dx_{12}}{dt} = 1 \cdot x_{15} \cdot \left(k_{13} \cdot x_{13} / k_{14} - k_{15} \cdot x_{11} / k_{16} \cdot x_{12} / k_{17}\right) / \left(x_{13} / k_{14} + \left(1 + x_{11} / k_{16}\right) \cdot \left(1 + x_{12} / k_{17}\right)\right) / k_{59}\\
\frac{dx_{13}}{dt} = \left(-1 \cdot k_{51} \cdot x_{13} + -1 \cdot x_{15} \cdot \left(k_{13} \cdot x_{13} / k_{14} - k_{15} \cdot x_{11} / k_{16} \cdot x_{12} / k_{17}\right) / \left(x_{13} / k_{14} + \left(1 + x_{11} / k_{16}\right) \cdot \left(1 + x_{12} / k_{17}\right)\right)\right) / k_{59}\\
\frac{dx_{14}}{dt} = -1 \cdot \left(k_{18} \cdot x_{15} \cdot x_{11} \cdot x_{10} \cdot x_{14} - k_{19} \cdot x_{16}\right) / k_{59}\\
\frac{dx_{15}}{dt} = \left(1 \cdot k_{12} / \left(k_{12} + x_{9}\right) \cdot \left(k_{10} \cdot x_{28} - k_{11} \cdot x_{15}\right) + -1 \cdot \left(k_{18} \cdot x_{15} \cdot x_{11} \cdot x_{10} \cdot x_{14} - k_{19} \cdot x_{16}\right) + -1 \cdot \left(k_{20} / \left(k_{23} \cdot k_{22}\right) \cdot x_{18} \cdot x_{15} \cdot x_{19} - k_{21} / k_{22} \cdot x_{18} \cdot x_{17}\right) / \left(1 + x_{15} / k_{23} + x_{19} / k_{23} + x_{15} \cdot x_{19} / \left(k_{23} \cdot k_{22}\right) + x_{17} / k_{22}\right)\right) / k_{59}\\
\frac{dx_{16}}{dt} = \left(-1 \cdot \left(k_{52} \cdot x_{16} - k_{53} \cdot x_{32}\right) + 1 \cdot \left(k_{18} \cdot x_{15} \cdot x_{11} \cdot x_{10} \cdot x_{14} - k_{19} \cdot x_{16}\right)\right) / k_{59}\\
\frac{dx_{17}}{dt} = \left(1 \cdot \left(k_{20} / \left(k_{23} \cdot k_{22}\right) \cdot x_{18} \cdot x_{15} \cdot x_{19} - k_{21} / k_{22} \cdot x_{18} \cdot x_{17}\right) / \left(1 + x_{15} / k_{23} + x_{19} / k_{23} + x_{15} \cdot x_{19} / \left(k_{23} \cdot k_{22}\right) + x_{17} / k_{22}\right) + -1 \cdot \left(k_{24} \cdot x_{17} - k_{25} \cdot x_{20}\right)\right) / k_{59}\\
\frac{dx_{18}}{dt} = 0 / k_{59}\\
\frac{dx_{19}}{dt} = -1 \cdot \left(k_{20} / \left(k_{23} \cdot k_{22}\right) \cdot x_{18} \cdot x_{15} \cdot x_{19} - k_{21} / k_{22} \cdot x_{18} \cdot x_{17}\right) / \left(1 + x_{15} / k_{23} + x_{19} / k_{23} + x_{15} \cdot x_{19} / \left(k_{23} \cdot k_{22}\right) + x_{17} / k_{22}\right) / k_{59}\\
\frac{dx_{20}}{dt} = 1 \cdot \left(k_{24} \cdot x_{17} - k_{25} \cdot x_{20}\right) / k_{59}\\
\frac{dx_{21}}{dt} = -1 \cdot \left(k_{26} / \left(k_{29} \cdot k_{28}\right) \cdot x_{24} \cdot x_{21} \cdot x_{2} - k_{27} / k_{28} \cdot x_{24} \cdot x_{23}\right) / \left(1 + x_{21} / k_{29} + x_{2} / k_{29} + x_{21} \cdot x_{2} / \left(k_{29} \cdot k_{28}\right) + x_{23} / k_{28}\right) / k_{58}\\
\frac{dx_{22}}{dt} = 1 \cdot x_{6} \cdot \left(k_{46} \cdot x_{31} / k_{47} - k_{48} \cdot x_{22} / k_{49} \cdot x_{4} / k_{50}\right) / \left(x_{31} / k_{47} + \left(1 + x_{22} / k_{49}\right) \cdot \left(1 + x_{4} / k_{50}\right)\right) / k_{57}\\
\frac{dx_{23}}{dt} = \left(1 \cdot \left(k_{26} / \left(k_{29} \cdot k_{28}\right) \cdot x_{24} \cdot x_{21} \cdot x_{2} - k_{27} / k_{28} \cdot x_{24} \cdot x_{23}\right) / \left(1 + x_{21} / k_{29} + x_{2} / k_{29} + x_{21} \cdot x_{2} / \left(k_{29} \cdot k_{28}\right) + x_{23} / k_{28}\right) + -1 \cdot k_{32} / \left(k_{32} + x_{1}\right) \cdot \left(k_{30} \cdot x_{23} \cdot x_{25} - k_{31} \cdot x_{26}\right) + -1 \cdot \left(k_{42} / \left(k_{45} \cdot k_{44}\right) \cdot x_{1} \cdot x_{3} \cdot x_{23} - k_{43} / k_{44} \cdot x_{1} \cdot x_{31}\right) / \left(1 + x_{3} / k_{45} + x_{23} / k_{45} + x_{3} \cdot x_{23} / \left(k_{45} \cdot k_{44}\right) + x_{31} / k_{44}\right)\right) / k_{58}\\
\frac{dx_{24}}{dt} = 0 / k_{57}\\
\frac{dx_{25}}{dt} = -1 \cdot k_{32} / \left(k_{32} + x_{1}\right) \cdot \left(k_{30} \cdot x_{23} \cdot x_{25} - k_{31} \cdot x_{26}\right) / k_{57}\\
\frac{dx_{26}}{dt} = \left(1 \cdot k_{32} / \left(k_{32} + x_{1}\right) \cdot \left(k_{30} \cdot x_{23} \cdot x_{25} - k_{31} \cdot x_{26}\right) + -1 \cdot x_{6} \cdot \left(k_{33} \cdot x_{26} / k_{34} - k_{35} \cdot x_{27} / k_{36} \cdot x_{4} / k_{37}\right) / \left(x_{26} / k_{34} + \left(1 + x_{27} / k_{36}\right) \cdot \left(1 + x_{4} / k_{37}\right)\right)\right) / k_{58}\\
\frac{dx_{27}}{dt} = 1 \cdot x_{6} \cdot \left(k_{33} \cdot x_{26} / k_{34} - k_{35} \cdot x_{27} / k_{36} \cdot x_{4} / k_{37}\right) / \left(x_{26} / k_{34} + \left(1 + x_{27} / k_{36}\right) \cdot \left(1 + x_{4} / k_{37}\right)\right) / k_{57}\\
\frac{dx_{28}}{dt} = \left(1 \cdot x_{36} \cdot \left(k_{1} \cdot x_{4} / k_{2} - k_{3} \cdot x_{5} / k_{4} \cdot x_{28} / k_{5}\right) / \left(x_{4} / k_{2} + \left(1 + x_{5} / k_{4}\right) \cdot \left(1 + x_{28} / k_{5}\right)\right) + -1 \cdot k_{12} / \left(k_{12} + x_{9}\right) \cdot \left(k_{10} \cdot x_{28} - k_{11} \cdot x_{15}\right)\right) / k_{58}\\
\frac{dx_{29}}{dt} = 1 \cdot x_{30} \cdot \left(k_{38} / k_{39} \cdot x_{9} - k_{40} / k_{41} \cdot x_{29}\right) / \left(1 + x_{9} / k_{39} + x_{29} / k_{41}\right) / k_{58}\\
\frac{dx_{30}}{dt} = 0 / k_{58}\\
\frac{dx_{31}}{dt} = \left(1 \cdot \left(k_{42} / \left(k_{45} \cdot k_{44}\right) \cdot x_{1} \cdot x_{3} \cdot x_{23} - k_{43} / k_{44} \cdot x_{1} \cdot x_{31}\right) / \left(1 + x_{3} / k_{45} + x_{23} / k_{45} + x_{3} \cdot x_{23} / \left(k_{45} \cdot k_{44}\right) + x_{31} / k_{44}\right) + -1 \cdot x_{6} \cdot \left(k_{46} \cdot x_{31} / k_{47} - k_{48} \cdot x_{22} / k_{49} \cdot x_{4} / k_{50}\right) / \left(x_{31} / k_{47} + \left(1 + x_{22} / k_{49}\right) \cdot \left(1 + x_{4} / k_{50}\right)\right)\right) / k_{58}\\
\frac{dx_{32}}{dt} = \left(1 \cdot k_{51} \cdot x_{13} + 1 \cdot \left(k_{52} \cdot x_{16} - k_{53} \cdot x_{32}\right)\right) / k_{59}\\
\frac{dx_{33}}{dt} = -1 \cdot k_{56} / \left(k_{56} + x_{35}\right) \cdot \left(k_{54} \cdot x_{33} \cdot x_{34} - k_{55} \cdot x_{36}\right) / k_{57}\\
\frac{dx_{34}}{dt} = -1 \cdot k_{56} / \left(k_{56} + x_{35}\right) \cdot \left(k_{54} \cdot x_{33} \cdot x_{34} - k_{55} \cdot x_{36}\right) / k_{57}\\
\frac{dx_{35}}{dt} = 0 / k_{57}\\
\frac{dx_{36}}{dt} = 1 \cdot k_{56} / \left(k_{56} + x_{35}\right) \cdot \left(k_{54} \cdot x_{33} \cdot x_{34} - k_{55} \cdot x_{36}\right) / k_{57}