\frac{dx_{1}}{dt} = \left(-1 \cdot k_{19} \cdot k_{2} \cdot x_{1} \cdot x_{2} / \left(1 + x_{2} / k_{18}^{k_{17}}\right) + 1 \cdot k_{19} \cdot k_{1}\right) / k_{19}\\
\frac{dx_{2}}{dt} = \left(-2 \cdot k_{19} \cdot k_{2} \cdot x_{1} \cdot x_{2} / \left(1 + x_{2} / k_{18}^{k_{17}}\right) + 1 \cdot k_{19} \cdot \left(k_{4} \cdot k_{6} \cdot x_{4} \cdot x_{5} \cdot \left(k_{15} - x_{2}\right) - k_{5} \cdot k_{7} \cdot x_{6} \cdot x_{2} \cdot \left(k_{16} - x_{5}\right)\right) / \left(k_{5} \cdot \left(k_{16} - x_{5}\right) + k_{6} \cdot \left(k_{15} - x_{2}\right)\right) + 1 \cdot k_{19} \cdot k_{8} \cdot x_{6} \cdot \left(k_{15} - x_{2}\right) + -1 \cdot k_{19} \cdot k_{11} \cdot x_{2}\right) / k_{19}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{19} \cdot k_{2} \cdot x_{1} \cdot x_{2} / \left(1 + x_{2} / k_{18}^{k_{17}}\right) + -1 \cdot k_{19} \cdot k_{3} \cdot x_{3}\right) / k_{19}\\
\frac{dx_{4}}{dt} = \left(2 \cdot k_{19} \cdot k_{3} \cdot x_{3} + -1 \cdot k_{19} \cdot \left(k_{4} \cdot k_{6} \cdot x_{4} \cdot x_{5} \cdot \left(k_{15} - x_{2}\right) - k_{5} \cdot k_{7} \cdot x_{6} \cdot x_{2} \cdot \left(k_{16} - x_{5}\right)\right) / \left(k_{5} \cdot \left(k_{16} - x_{5}\right) + k_{6} \cdot \left(k_{15} - x_{2}\right)\right) + -1 \cdot k_{19} \cdot k_{12} \cdot x_{4} \cdot \left(k_{16} - x_{5}\right)\right) / k_{19}\\
\frac{dx_{5}}{dt} = \left(-1 \cdot k_{19} \cdot \left(k_{4} \cdot k_{6} \cdot x_{4} \cdot x_{5} \cdot \left(k_{15} - x_{2}\right) - k_{5} \cdot k_{7} \cdot x_{6} \cdot x_{2} \cdot \left(k_{16} - x_{5}\right)\right) / \left(k_{5} \cdot \left(k_{16} - x_{5}\right) + k_{6} \cdot \left(k_{15} - x_{2}\right)\right) + 1 \cdot k_{19} \cdot k_{12} \cdot x_{4} \cdot \left(k_{16} - x_{5}\right) + 1 \cdot k_{19} \cdot k_{10} \cdot x_{8} \cdot \left(k_{16} - x_{5}\right)\right) / k_{19}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{19} \cdot \left(k_{4} \cdot k_{6} \cdot x_{4} \cdot x_{5} \cdot \left(k_{15} - x_{2}\right) - k_{5} \cdot k_{7} \cdot x_{6} \cdot x_{2} \cdot \left(k_{16} - x_{5}\right)\right) / \left(k_{5} \cdot \left(k_{16} - x_{5}\right) + k_{6} \cdot \left(k_{15} - x_{2}\right)\right) + -1 \cdot k_{19} \cdot k_{8} \cdot x_{6} \cdot \left(k_{15} - x_{2}\right)\right) / k_{19}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{19} \cdot k_{8} \cdot x_{6} \cdot \left(k_{15} - x_{2}\right) + -1 \cdot k_{19} \cdot k_{9} \cdot x_{7}\right) / k_{19}\\
\frac{dx_{8}}{dt} = \left(1 \cdot k_{19} \cdot k_{9} \cdot x_{7} + -1 \cdot k_{19} \cdot k_{14} \cdot \left(x_{8} - x_{9}\right) + -1 \cdot k_{19} \cdot k_{10} \cdot x_{8} \cdot \left(k_{16} - x_{5}\right)\right) / k_{19}\\
\frac{dx_{9}}{dt} = \left(-1 \cdot k_{19} \cdot k_{13} \cdot x_{9} + \frac{1}{10} \cdot k_{19} \cdot k_{14} \cdot \left(x_{8} - x_{9}\right)\right) / k_{19}