\frac{dx_{1}}{dt} = \left(1 \cdot k_{26} \cdot k_{15} \cdot x_{6} + -1 \cdot k_{26} \cdot k_{14} \cdot \left(k_{21} + x_{5} + x_{6} + x_{11} + x_{12}^{k_{23}}\right) / \left(k_{24}^{k_{23}} + x_{5} + x_{6} + x_{11} + x_{12}^{k_{23}}\right) \cdot x_{1} + -1 \cdot k_{26} \cdot k_{13} \cdot x_{1} + 1 \cdot k_{26} \cdot k_{12} \cdot x_{3} \cdot x_{2} + -1 \cdot k_{26} \cdot k_{16} \cdot x_{8} \cdot x_{1} + 1 \cdot k_{26} \cdot k_{17} \cdot x_{10}\right) / k_{26}\\
\frac{dx_{2}}{dt} = \left(-1 \cdot k_{26} \cdot k_{16} \cdot x_{8} \cdot x_{2} + 1 \cdot k_{26} \cdot k_{17} \cdot x_{9} + 1 \cdot k_{26} \cdot k_{15} \cdot x_{5} + -1 \cdot k_{26} \cdot k_{14} \cdot \left(k_{21} + x_{5} + x_{6} + x_{11} + x_{12}^{k_{23}}\right) / \left(k_{24}^{k_{23}} + x_{5} + x_{6} + x_{11} + x_{12}^{k_{23}}\right) \cdot x_{2} + 1 \cdot k_{26} \cdot k_{13} \cdot x_{1} + -1 \cdot k_{26} \cdot k_{12} \cdot x_{3} \cdot x_{2}\right) / k_{26}\\
\frac{dx_{3}}{dt} = 1 \cdot k_{26} \cdot \left(k_{3} \cdot \left(k_{27} - x_{3}\right) / \left(k_{1} + k_{27} - x_{3}\right) - k_{4} \cdot x_{16} \cdot x_{3} / \left(k_{2} + x_{3}\right)\right) / k_{26}\\
\frac{dx_{4}}{dt} = 0\\
\frac{dx_{5}}{dt} = \left(-1 \cdot k_{26} \cdot k_{16} \cdot x_{8} \cdot x_{5} + 1 \cdot k_{26} \cdot k_{17} \cdot x_{11} + -1 \cdot k_{26} \cdot k_{15} \cdot x_{5} + 1 \cdot k_{26} \cdot k_{14} \cdot \left(k_{21} + x_{5} + x_{6} + x_{11} + x_{12}^{k_{23}}\right) / \left(k_{24}^{k_{23}} + x_{5} + x_{6} + x_{11} + x_{12}^{k_{23}}\right) \cdot x_{2} + 1 \cdot k_{26} \cdot k_{19} \cdot x_{11} + -1 \cdot k_{26} \cdot k_{18} \cdot x_{5} \cdot x_{7}\right) / k_{26}\\
\frac{dx_{6}}{dt} = \left(-1 \cdot k_{26} \cdot k_{15} \cdot x_{6} + 1 \cdot k_{26} \cdot k_{14} \cdot \left(k_{21} + x_{5} + x_{6} + x_{11} + x_{12}^{k_{23}}\right) / \left(k_{24}^{k_{23}} + x_{5} + x_{6} + x_{11} + x_{12}^{k_{23}}\right) \cdot x_{1} + 1 \cdot k_{26} \cdot k_{19} \cdot x_{12} + -1 \cdot k_{26} \cdot k_{16} \cdot x_{8} \cdot x_{6} + 1 \cdot k_{26} \cdot k_{17} \cdot x_{12} + -1 \cdot k_{26} \cdot k_{18} \cdot x_{6} \cdot x_{7}\right) / k_{26}\\
\frac{dx_{7}}{dt} = 1 \cdot k_{26} \cdot k_{10} \cdot \operatorname{piecewise}(0, x_{5} - k_{11} < 0, 1) / k_{26}\\
\frac{dx_{8}}{dt} = \left(-1 \cdot k_{26} \cdot k_{16} \cdot x_{8} \cdot x_{2} + -1 \cdot k_{26} \cdot k_{16} \cdot x_{8} \cdot x_{5} + 1 \cdot k_{26} \cdot k_{17} \cdot x_{9} + 1 \cdot k_{26} \cdot k_{17} \cdot x_{11} + -1 \cdot k_{26} \cdot k_{16} \cdot x_{8} \cdot x_{1} + -1 \cdot k_{26} \cdot k_{16} \cdot x_{8} \cdot x_{6} + 1 \cdot k_{26} \cdot k_{17} \cdot x_{10} + 1 \cdot k_{26} \cdot k_{17} \cdot x_{12}\right) / k_{26}\\
\frac{dx_{9}}{dt} = \left(1 \cdot k_{26} \cdot k_{16} \cdot x_{8} \cdot x_{2} + -1 \cdot k_{26} \cdot k_{17} \cdot x_{9} + 1 \cdot k_{26} \cdot k_{13} \cdot x_{10} + -1 \cdot k_{26} \cdot k_{12} \cdot x_{3} \cdot x_{9} + 1 \cdot k_{26} \cdot k_{15} \cdot x_{11} + -1 \cdot k_{26} \cdot k_{14} \cdot \left(k_{21} + x_{5} + x_{6} + x_{11} + x_{12}^{k_{23}}\right) / \left(k_{24}^{k_{23}} + x_{5} + x_{6} + x_{11} + x_{12}^{k_{23}}\right) \cdot x_{9}\right) / k_{26}\\
\frac{dx_{10}}{dt} = \left(-1 \cdot k_{26} \cdot k_{13} \cdot x_{10} + 1 \cdot k_{26} \cdot k_{12} \cdot x_{3} \cdot x_{9} + 1 \cdot k_{26} \cdot k_{16} \cdot x_{8} \cdot x_{1} + -1 \cdot k_{26} \cdot k_{17} \cdot x_{10} + 1 \cdot k_{26} \cdot k_{15} \cdot x_{12} + -1 \cdot k_{26} \cdot k_{14} \cdot \left(k_{21} + x_{5} + x_{6} + x_{11} + x_{12}^{k_{23}}\right) / \left(k_{24}^{k_{23}} + x_{5} + x_{6} + x_{11} + x_{12}^{k_{23}}\right) \cdot x_{10}\right) / k_{26}\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{26} \cdot k_{16} \cdot x_{8} \cdot x_{5} + -1 \cdot k_{26} \cdot k_{17} \cdot x_{11} + -1 \cdot k_{26} \cdot k_{19} \cdot x_{11} + -1 \cdot k_{26} \cdot k_{18} \cdot x_{11} \cdot x_{7} + -1 \cdot k_{26} \cdot k_{15} \cdot x_{11} + 1 \cdot k_{26} \cdot k_{14} \cdot \left(k_{21} + x_{5} + x_{6} + x_{11} + x_{12}^{k_{23}}\right) / \left(k_{24}^{k_{23}} + x_{5} + x_{6} + x_{11} + x_{12}^{k_{23}}\right) \cdot x_{9}\right) / k_{26}\\
\frac{dx_{12}}{dt} = \left(-1 \cdot k_{26} \cdot k_{19} \cdot x_{12} + -1 \cdot k_{26} \cdot k_{18} \cdot x_{12} \cdot x_{7} + 1 \cdot k_{26} \cdot k_{16} \cdot x_{8} \cdot x_{6} + -1 \cdot k_{26} \cdot k_{17} \cdot x_{12} + -1 \cdot k_{26} \cdot k_{15} \cdot x_{12} + 1 \cdot k_{26} \cdot k_{14} \cdot \left(k_{21} + x_{5} + x_{6} + x_{11} + x_{12}^{k_{23}}\right) / \left(k_{24}^{k_{23}} + x_{5} + x_{6} + x_{11} + x_{12}^{k_{23}}\right) \cdot x_{10}\right) / k_{26}\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{26} \cdot k_{18} \cdot x_{12} \cdot x_{7} + 1 \cdot k_{26} \cdot k_{18} \cdot x_{11} \cdot x_{7} + -1 \cdot k_{26} \cdot k_{19} \cdot x_{13}\right) / k_{26}\\
\frac{dx_{16}}{dt} = 1 \cdot k_{26} \cdot \left(k_{7} \cdot \left(1 - x_{16}\right) / \left(k_{5} + 1 - x_{16}\right) - k_{8} \cdot x_{2} \cdot x_{16} / \left(k_{6} + x_{16}\right)\right) / k_{26}