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