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