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