\frac{dx_{1}}{dt} = \left(-1 \cdot k_{62} \cdot k_{3} \cdot k_{51} \cdot x_{1} / \left(k_{28} + x_{1}\right) + 1 \cdot k_{62} \cdot k_{5} \cdot x_{20} / \left(k_{30} + x_{20}\right) + -1 \cdot k_{62} \cdot k_{4} \cdot x_{1} \cdot x_{17} / \left(k_{29} + x_{1}\right)\right) / k_{62}\\
\frac{dx_{2}}{dt} = \left(-1 \cdot k_{62} \cdot \left(k_{42} \cdot x_{3} \cdot x_{2} - k_{18} \cdot x_{7}\right) + -1 \cdot k_{62} \cdot \left(k_{43} \cdot x_{5} \cdot x_{2} - k_{19} \cdot x_{6}\right)\right) / k_{62}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{62} \cdot k_{41} \cdot x_{5} / \left(k_{17} + x_{5}\right) + 1 \cdot k_{62} \cdot k_{38} \cdot x_{8} / \left(k_{14} + x_{8}\right) + -2 \cdot k_{62} \cdot k_{40} \cdot x_{3}^{2} + -1 \cdot k_{62} \cdot \left(k_{42} \cdot x_{3} \cdot x_{2} - k_{18} \cdot x_{7}\right) + -1 \cdot k_{62} \cdot k_{37} \cdot x_{3} \cdot x_{20} / \left(k_{13} + x_{3}\right)\right) / k_{62}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{62} \cdot k_{40} \cdot x_{3}^{2} + -1 \cdot k_{62} \cdot k_{16} \cdot x_{4}\right) / k_{62}\\
\frac{dx_{5}}{dt} = \left(-1 \cdot k_{62} \cdot k_{41} \cdot x_{5} / \left(k_{17} + x_{5}\right) + 2 \cdot k_{62} \cdot k_{16} \cdot x_{4} + -1 \cdot k_{62} \cdot \left(k_{43} \cdot x_{5} \cdot x_{2} - k_{19} \cdot x_{6}\right)\right) / k_{62}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{62} \cdot \left(k_{43} \cdot x_{5} \cdot x_{2} - k_{19} \cdot x_{6}\right) + 1 \cdot k_{62} \cdot k_{44} \cdot x_{7} / \left(k_{20} + x_{7}\right)\right) / k_{62}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{62} \cdot \left(k_{42} \cdot x_{3} \cdot x_{2} - k_{18} \cdot x_{7}\right) + -1 \cdot k_{62} \cdot k_{44} \cdot x_{7} / \left(k_{20} + x_{7}\right)\right) / k_{62}\\
\frac{dx_{8}}{dt} = \left(-1 \cdot k_{62} \cdot k_{38} \cdot x_{8} / \left(k_{14} + x_{8}\right) + 1 \cdot k_{62} \cdot k_{37} \cdot x_{3} \cdot x_{20} / \left(k_{13} + x_{3}\right) + -1 \cdot k_{62} \cdot \left(k_{39} \cdot x_{8} \cdot x_{12} - k_{15} \cdot x_{9}\right)\right) / k_{62}\\
\frac{dx_{9}}{dt} = 1 \cdot k_{62} \cdot \left(k_{39} \cdot x_{8} \cdot x_{12} - k_{15} \cdot x_{9}\right) / k_{62}\\
\frac{dx_{10}}{dt} = \left(-1 \cdot k_{62} \cdot k_{47} \cdot x_{10} / \left(k_{23} + x_{10}\right) + 1 \cdot k_{62} \cdot k_{45} \cdot x_{5} \cdot x_{11} / \left(k_{21} + x_{11}\right) + 1 \cdot k_{62} \cdot k_{46} \cdot x_{6} \cdot x_{11} / \left(k_{22} + x_{11}\right)\right) / k_{62}\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{62} \cdot k_{47} \cdot x_{10} / \left(k_{23} + x_{10}\right) + -1 \cdot k_{62} \cdot k_{45} \cdot x_{5} \cdot x_{11} / \left(k_{21} + x_{11}\right) + -1 \cdot k_{62} \cdot k_{46} \cdot x_{6} \cdot x_{11} / \left(k_{22} + x_{11}\right)\right) / k_{62}\\
\frac{dx_{12}}{dt} = \left(-1 \cdot k_{62} \cdot \left(k_{39} \cdot x_{8} \cdot x_{12} - k_{15} \cdot x_{9}\right) + 1 \cdot k_{62} \cdot k_{7} \cdot x_{13} / \left(k_{32} + x_{13}\right) + 1 \cdot k_{62} \cdot k_{50} \cdot x_{10} \cdot x_{13} / \left(k_{36} + x_{13}\right) + -1 \cdot k_{62} \cdot k_{6} \cdot x_{12} \cdot x_{17} / \left(k_{31} + x_{12}\right)\right) / k_{62}\\
\frac{dx_{13}}{dt} = \left(-1 \cdot k_{62} \cdot k_{7} \cdot x_{13} / \left(k_{32} + x_{13}\right) + -1 \cdot k_{62} \cdot k_{50} \cdot x_{10} \cdot x_{13} / \left(k_{36} + x_{13}\right) + 1 \cdot k_{62} \cdot k_{6} \cdot x_{12} \cdot x_{17} / \left(k_{31} + x_{12}\right) + 1 \cdot k_{62} \cdot k_{9} \cdot x_{14} / \left(k_{34} + x_{14}\right) + -1 \cdot k_{62} \cdot k_{8} \cdot x_{13} / \left(k_{33} + x_{13}\right)\right) / k_{62}\\
\frac{dx_{14}}{dt} = \left(-1 \cdot k_{62} \cdot k_{9} \cdot x_{14} / \left(k_{34} + x_{14}\right) + 1 \cdot k_{62} \cdot k_{8} \cdot x_{13} / \left(k_{33} + x_{13}\right) + 1 \cdot k_{62} \cdot k_{49} \cdot x_{15} / \left(k_{25} + x_{15}\right) + -1 \cdot k_{62} \cdot k_{48} \cdot x_{14} \cdot x_{19} / \left(k_{24} + x_{14}\right)\right) / k_{62}\\
\frac{dx_{15}}{dt} = \left(-1 \cdot k_{62} \cdot k_{49} \cdot x_{15} / \left(k_{25} + x_{15}\right) + 1 \cdot k_{62} \cdot k_{48} \cdot x_{14} \cdot x_{19} / \left(k_{24} + x_{14}\right)\right) / k_{62}\\
\frac{dx_{16}}{dt} = \left(-1 \cdot k_{62} \cdot k_{1} \cdot k_{51} \cdot x_{16} / \left(k_{26} + x_{16}\right) + 1 \cdot k_{62} \cdot k_{2} \cdot x_{17} / \left(k_{27} + x_{17}\right)\right) / k_{62}\\
\frac{dx_{17}}{dt} = \left(1 \cdot k_{62} \cdot k_{1} \cdot k_{51} \cdot x_{16} / \left(k_{26} + x_{16}\right) + -1 \cdot k_{62} \cdot k_{2} \cdot x_{17} / \left(k_{27} + x_{17}\right)\right) / k_{62}\\
\frac{dx_{18}}{dt} = \left(-1 \cdot k_{62} \cdot k_{10} \cdot x_{14} \cdot x_{18} / \left(k_{35} + x_{18}\right) + 1 \cdot k_{62} \cdot k_{11} \cdot x_{19} / \left(k_{12} + x_{19}\right)\right) / k_{62}\\
\frac{dx_{19}}{dt} = \left(1 \cdot k_{62} \cdot k_{10} \cdot x_{14} \cdot x_{18} / \left(k_{35} + x_{18}\right) + -1 \cdot k_{62} \cdot k_{11} \cdot x_{19} / \left(k_{12} + x_{19}\right)\right) / k_{62}\\
\frac{dx_{20}}{dt} = \left(1 \cdot k_{62} \cdot k_{3} \cdot k_{51} \cdot x_{1} / \left(k_{28} + x_{1}\right) + -1 \cdot k_{62} \cdot k_{5} \cdot x_{20} / \left(k_{30} + x_{20}\right) + 1 \cdot k_{62} \cdot k_{4} \cdot x_{1} \cdot x_{17} / \left(k_{29} + x_{1}\right)\right) / k_{62}