\frac{dx_{2}}{dt} = \left(-1 \cdot k_{23} \cdot k_{1} / \left(1 + k_{2} / x_{2} \cdot \left(1 + x_{3} / k_{3}\right)\right) + -1 \cdot k_{23} \cdot k_{4} / \left(1 + 20000 / \left(1 + \frac{57}{10} \cdot x_{3} / \left(x_{3} + 600\right)^{2}\right) \cdot k_{6} / \left(x_{2}^{2} + x_{2} \cdot k_{6}\right)\right) + 1 \cdot k_{23} \cdot k_{17} \cdot k_{25} \cdot x_{5} / \left(k_{20} \cdot k_{18} + k_{18} \cdot k_{25} + k_{19} \cdot x_{5} + k_{25} \cdot x_{5}\right) + 1 \cdot k_{23} \cdot \left(\frac{7}{10} - \frac{1}{40} \cdot \left(x_{3} + x_{4} - 150\right)\right) \cdot k_{21} \cdot x_{5} / \left(k_{22} + x_{5}\right) + 1 \cdot k_{23} \cdot k_{24} \cdot x_{1}\right) / k_{23}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{23} \cdot k_{1} / \left(1 + k_{2} / x_{2} \cdot \left(1 + x_{3} / k_{3}\right)\right) + 1 \cdot k_{23} \cdot k_{4} / \left(1 + 20000 / \left(1 + \frac{57}{10} \cdot x_{3} / \left(x_{3} + 600\right)^{2}\right) \cdot k_{6} / \left(x_{2}^{2} + x_{2} \cdot k_{6}\right)\right) + -1 \cdot k_{23} \cdot k_{10} / \left(1 + 1 \cdot \left(1 + x_{4} / 4\right) / x_{3} + k_{12} + k_{12} \cdot 1 \cdot \left(1 + x_{4} / 4\right) / x_{3}\right) + -1 \cdot k_{23} \cdot k_{7} / \left(1 + k_{8} / x_{3}^{\frac{23}{10}}\right) \cdot 1 / \left(1 + x_{4} / k_{9}\right)\right) / k_{23}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{23} \cdot k_{10} / \left(1 + 1 \cdot \left(1 + x_{4} / 4\right) / x_{3} + k_{12} + k_{12} \cdot 1 \cdot \left(1 + x_{4} / 4\right) / x_{3}\right) + 1 \cdot k_{23} \cdot k_{7} / \left(1 + k_{8} / x_{3}^{\frac{23}{10}}\right) \cdot 1 / \left(1 + x_{4} / k_{9}\right) + -1 \cdot k_{23} \cdot k_{13} \cdot \left(x_{4} - k_{14} \cdot x_{5}\right)\right) / k_{23}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{23} \cdot k_{13} \cdot \left(x_{4} - k_{14} \cdot x_{5}\right) + -1 \cdot k_{23} \cdot k_{17} \cdot k_{25} \cdot x_{5} / \left(k_{20} \cdot k_{18} + k_{18} \cdot k_{25} + k_{19} \cdot x_{5} + k_{25} \cdot x_{5}\right) + -1 \cdot k_{23} \cdot \left(\frac{7}{10} - \frac{1}{40} \cdot \left(x_{3} + x_{4} - 150\right)\right) \cdot k_{21} \cdot x_{5} / \left(k_{22} + x_{5}\right) + -1 \cdot k_{23} \cdot \left(k_{15} \cdot \left(x_{3} + x_{4}\right) - k_{16}\right) \cdot x_{5}\right) / k_{23}\\
\frac{dx_{6}}{dt} = 0\\
\frac{dx_{7}}{dt} = 1 \cdot k_{23} \cdot \left(k_{15} \cdot \left(x_{3} + x_{4}\right) - k_{16}\right) \cdot x_{5} / k_{23}