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