\frac{dx_{1}}{dt} = 0\\
\frac{dx_{2}}{dt} = 0\\
\frac{dx_{3}}{dt} = 0\\
\frac{dx_{4}}{dt} = 0\\
\frac{dx_{5}}{dt} = 0\\
\frac{dx_{6}}{dt} = 0\\
\frac{dx_{7}}{dt} = 0\\
\frac{dx_{8}}{dt} = 0\\
\frac{dx_{9}}{dt} = 0\\
\frac{dx_{10}}{dt} = 0\\
\frac{dx_{11}}{dt} = 0\\
\frac{dx_{12}}{dt} = 0\\
\frac{dx_{13}}{dt} = \left(1 \cdot \left(k_{1} + k_{2} \cdot k_{60} + k_{3} \cdot x_{13} \cdot x_{14} + k_{4} \cdot x_{13} \cdot x_{14} \cdot x_{15}\right) / \left(1 + k_{5} \cdot k_{60} + k_{6} \cdot x_{13} + k_{7} \cdot x_{13} \cdot x_{14} + k_{8} \cdot x_{13} \cdot x_{14} \cdot x_{15} + k_{9} \cdot x_{17} \cdot x_{13} + k_{10} \cdot x_{18}\right) + -1 \cdot k_{11} \cdot x_{13}\right) / k_{50}\\
\frac{dx_{14}}{dt} = \left(1 \cdot \left(k_{12} + k_{13} \cdot x_{13} \cdot x_{14} + k_{14} \cdot x_{13} \cdot x_{14} \cdot x_{15}\right) / \left(1 + k_{15} \cdot x_{13} + k_{16} \cdot x_{13} \cdot x_{14} + k_{17} \cdot x_{13} \cdot x_{14} \cdot x_{15}\right) + -1 \cdot k_{19} \cdot x_{14}\right) / k_{50}\\
\frac{dx_{15}}{dt} = \left(1 \cdot \left(k_{20} + k_{21} \cdot x_{13} \cdot x_{14} + k_{22} \cdot x_{13} \cdot x_{14} \cdot x_{15} + k_{23} \cdot k_{62}\right) / \left(1 + k_{24} \cdot x_{13} + k_{25} \cdot x_{13} \cdot x_{14} + k_{26} \cdot x_{13} \cdot x_{14} \cdot x_{15} + k_{27} \cdot x_{13} \cdot x_{16} + k_{28} \cdot k_{62}\right) + -1 \cdot k_{29} \cdot x_{15}\right) / k_{50}\\
\frac{dx_{16}}{dt} = \left(1 \cdot \left(k_{41} + k_{42} \cdot x_{13} + k_{43} \cdot x_{16}\right) / \left(1 + k_{44} \cdot x_{13} + k_{45} \cdot x_{16} + k_{46} \cdot x_{15} + k_{47} \cdot k_{61}\right) + -1 \cdot k_{48} \cdot x_{16}\right) / k_{50}\\
\frac{dx_{17}}{dt} = \left(1 \cdot \left(k_{30} + k_{31} \cdot x_{17}\right) / \left(1 + k_{32} \cdot x_{17} + k_{33} \cdot x_{17} \cdot x_{13}\right) + -1 \cdot k_{34} \cdot x_{17}\right) / k_{50}\\
\frac{dx_{18}}{dt} = \left(1 \cdot \left(k_{35} + k_{36} \cdot x_{17} + k_{37} \cdot x_{16}\right) / \left(1 + k_{38} \cdot x_{17} + k_{39} \cdot x_{16}\right) + -1 \cdot k_{40} \cdot x_{18}\right) / k_{50}\\
\frac{dx_{19}}{dt} = 0 / k_{50}\\
\frac{dx_{20}}{dt} = 0 / k_{50}