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