\frac{dx_{1}}{dt} = \left(-1 \cdot x_{5} \cdot x_{1}^{2} / \left(x_{1}^{2} + k_{6}^{2}\right) + 1 \cdot \left(1 - k_{18}\right) \cdot \left(k_{7} + \left(1 - x_{3}\right) \cdot k_{1} \cdot x_{2}^{2} / \left(x_{2}^{2} + k_{9}^{2}\right) \cdot x_{1}^{2} / \left(x_{1}^{2} + k_{13}^{2}\right)\right) \cdot x_{9} + 1 \cdot x_{6} \cdot \left(k_{10} + k_{11}^{8} / \left(x_{9}^{8} + k_{11}^{8}\right)\right) + -1 \cdot x_{4} \cdot x_{1}^{2} / \left(x_{1}^{2} + k_{14}^{2}\right) + -1 \cdot k_{21} \cdot x_{1}^{4} / \left(x_{1}^{4} + k_{19}^{4}\right) + 1 \cdot k_{20} \cdot x_{8} / \left(x_{8} + \frac{1}{100}\right)\right) / k_{23}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{8} \cdot x_{1} + -1 \cdot k_{3} \cdot x_{2}\right) / k_{23}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{4} \cdot x_{1}^{4} / \left(x_{1}^{4} + k_{16}^{4}\right) \cdot \left(1 - x_{3}\right) + -1 \cdot k_{5} \cdot x_{3}\right) / k_{23}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{22} \cdot k_{17} \cdot k_{15} \cdot x_{1}^{4} / \left(\left(k_{22} - 1\right) \cdot \frac{1}{20}^{4} + x_{1}^{4}\right) + -1 \cdot x_{4} \cdot k_{17}\right) / k_{23}\\
\frac{dx_{5}}{dt} = \left(1 \cdot 1 / k_{22} \cdot k_{2} \cdot k_{17} \cdot \left(\left(k_{22} - 1\right) \cdot 2^{4} + x_{9}^{4}\right) / x_{9}^{4} + -1 \cdot x_{5} \cdot k_{17}\right) / k_{23}\\
\frac{dx_{6}}{dt} = \left(1 \cdot 1 / \left(k_{22} \cdot k_{22}\right) \cdot k_{12} \cdot k_{17} \cdot \left(\left(k_{22} - 1\right) \cdot 2^{2} + x_{9}^{2}\right) / x_{9}^{2} \cdot \left(\left(k_{22} - 1\right) \cdot \frac{1}{20}^{2} + x_{1}^{2}\right) / x_{1}^{2} + -1 \cdot x_{6} \cdot k_{17}\right) / k_{23}\\
\frac{dx_{7}}{dt} = 0 / k_{24}\\
\frac{dx_{8}}{dt} = \left(1 \cdot k_{21} \cdot x_{1}^{4} / \left(x_{1}^{4} + k_{19}^{4}\right) + 1 \cdot k_{18} \cdot \left(k_{7} + \left(1 - x_{3}\right) \cdot k_{1} \cdot x_{2}^{2} / \left(x_{2}^{2} + k_{9}^{2}\right) \cdot x_{1}^{2} / \left(x_{1}^{2} + k_{13}^{2}\right)\right) \cdot x_{9} + -1 \cdot k_{20} \cdot x_{8} / \left(x_{8} + \frac{1}{100}\right)\right) / k_{25}\\
\frac{dx_{9}}{dt} = \left(1 \cdot x_{5} \cdot x_{1}^{2} / \left(x_{1}^{2} + k_{6}^{2}\right) + -1 \cdot \left(1 - k_{18}\right) \cdot \left(k_{7} + \left(1 - x_{3}\right) \cdot k_{1} \cdot x_{2}^{2} / \left(x_{2}^{2} + k_{9}^{2}\right) \cdot x_{1}^{2} / \left(x_{1}^{2} + k_{13}^{2}\right)\right) \cdot x_{9} + -1 \cdot k_{18} \cdot \left(k_{7} + \left(1 - x_{3}\right) \cdot k_{1} \cdot x_{2}^{2} / \left(x_{2}^{2} + k_{9}^{2}\right) \cdot x_{1}^{2} / \left(x_{1}^{2} + k_{13}^{2}\right)\right) \cdot x_{9}\right) / k_{26}