\frac{dx_{1}}{dt} = \left(1 \cdot k_{27} \cdot k_{1} + -1 \cdot k_{27} \cdot \left(k_{2} + k_{3} \cdot x_{1} / \left(1 + k_{26}\right) + k_{4} \cdot x_{2} / \left(1 + k_{26}\right)\right) \cdot x_{1} + -1 \cdot k_{27} \cdot \left(k_{5} \cdot x_{1} \cdot x_{8} - k_{6} \cdot x_{3}\right) + 1 \cdot k_{27} \cdot \left(\left(k_{14} \cdot x_{1} / \left(1 + k_{26}\right) + k_{15} \cdot x_{2} / \left(1 + k_{26}\right)\right) \cdot x_{5} + k_{13}\right) \cdot x_{3}\right) / k_{27}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{27} \cdot k_{7} + -1 \cdot k_{27} \cdot \left(k_{8} + k_{9} \cdot x_{9}\right) \cdot x_{2} + -1 \cdot k_{27} \cdot \left(k_{10} \cdot x_{2} \cdot x_{8} - k_{11} \cdot x_{4}\right) + 1 \cdot k_{27} \cdot \left(\left(k_{14} \cdot x_{1} / \left(1 + k_{26}\right) + k_{15} \cdot x_{2} / \left(1 + k_{26}\right)\right) \cdot x_{5} + k_{13}\right) \cdot x_{4}\right) / k_{27}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{27} \cdot \left(k_{5} \cdot x_{1} \cdot x_{8} - k_{6} \cdot x_{3}\right) + -1 \cdot k_{27} \cdot \left(k_{2} + k_{3} \cdot x_{1} / \left(1 + k_{26}\right) + k_{4} \cdot x_{2} / \left(1 + k_{26}\right)\right) \cdot x_{3} + -1 \cdot k_{27} \cdot \left(\left(k_{14} \cdot x_{1} / \left(1 + k_{26}\right) + k_{15} \cdot x_{2} / \left(1 + k_{26}\right)\right) \cdot x_{5} + k_{13}\right) \cdot x_{3}\right) / k_{27}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{27} \cdot \left(k_{10} \cdot x_{2} \cdot x_{8} - k_{11} \cdot x_{4}\right) + -1 \cdot k_{27} \cdot \left(k_{8} + k_{9} \cdot x_{9}\right) \cdot x_{4} + -1 \cdot k_{27} \cdot \left(\left(k_{14} \cdot x_{1} / \left(1 + k_{26}\right) + k_{15} \cdot x_{2} / \left(1 + k_{26}\right)\right) \cdot x_{5} + k_{13}\right) \cdot x_{4}\right) / k_{27}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{27} \cdot k_{23} + -1 \cdot k_{27} \cdot \left(k_{24} + k_{25} \cdot x_{9}\right) \cdot x_{5}\right) / k_{27}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{27} \cdot \left(k_{19} \cdot x_{1} / \left(1 + k_{26}\right) + k_{20} \cdot x_{2} / \left(1 + k_{26}\right)\right) \cdot x_{9} + -1 \cdot k_{27} \cdot k_{18} \cdot x_{6} + -1 \cdot k_{27} \cdot \left(k_{21} \cdot x_{6} \cdot x_{7} - k_{22} \cdot x_{14}\right) + 1 \cdot k_{27} \cdot k_{17} \cdot x_{14}\right) / k_{27}\\
\frac{dx_{7}}{dt} = \left(-1 \cdot k_{27} \cdot \left(k_{21} \cdot x_{9} \cdot x_{7} - k_{22} \cdot x_{13}\right) + 1 \cdot k_{27} \cdot k_{16} + -1 \cdot k_{27} \cdot \left(k_{21} \cdot x_{6} \cdot x_{7} - k_{22} \cdot x_{14}\right) + -1 \cdot k_{27} \cdot k_{17} \cdot x_{7}\right) / k_{27}\\
\frac{dx_{8}}{dt} = \left(1 \cdot k_{27} \cdot k_{12} + -1 \cdot k_{27} \cdot \left(\left(k_{14} \cdot x_{1} / \left(1 + k_{26}\right) + k_{15} \cdot x_{2} / \left(1 + k_{26}\right)\right) \cdot x_{5} + k_{13}\right) \cdot x_{8} + -1 \cdot k_{27} \cdot \left(k_{5} \cdot x_{1} \cdot x_{8} - k_{6} \cdot x_{3}\right) + -1 \cdot k_{27} \cdot \left(k_{10} \cdot x_{2} \cdot x_{8} - k_{11} \cdot x_{4}\right) + 1 \cdot k_{27} \cdot \left(k_{8} + k_{9} \cdot x_{9}\right) \cdot x_{4} + 1 \cdot k_{27} \cdot \left(k_{2} + k_{3} \cdot x_{1} / \left(1 + k_{26}\right) + k_{4} \cdot x_{2} / \left(1 + k_{26}\right)\right) \cdot x_{3}\right) / k_{27}\\
\frac{dx_{9}}{dt} = \left(-1 \cdot k_{27} \cdot \left(k_{19} \cdot x_{1} / \left(1 + k_{26}\right) + k_{20} \cdot x_{2} / \left(1 + k_{26}\right)\right) \cdot x_{9} + 1 \cdot k_{27} \cdot k_{18} \cdot x_{6} + -1 \cdot k_{27} \cdot \left(k_{21} \cdot x_{9} \cdot x_{7} - k_{22} \cdot x_{13}\right) + 1 \cdot k_{27} \cdot k_{17} \cdot x_{13}\right) / k_{27}\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{27} \cdot \left(k_{21} \cdot x_{9} \cdot x_{7} - k_{22} \cdot x_{13}\right) + -1 \cdot k_{27} \cdot k_{17} \cdot x_{13} + -1 \cdot k_{27} \cdot \left(k_{19} \cdot x_{1} / \left(1 + k_{26}\right) + k_{20} \cdot x_{2} / \left(1 + k_{26}\right)\right) \cdot x_{13} + 1 \cdot k_{27} \cdot k_{18} \cdot x_{14}\right) / k_{27}\\
\frac{dx_{14}}{dt} = \left(1 \cdot k_{27} \cdot \left(k_{21} \cdot x_{6} \cdot x_{7} - k_{22} \cdot x_{14}\right) + 1 \cdot k_{27} \cdot \left(k_{19} \cdot x_{1} / \left(1 + k_{26}\right) + k_{20} \cdot x_{2} / \left(1 + k_{26}\right)\right) \cdot x_{13} + -1 \cdot k_{27} \cdot k_{18} \cdot x_{14} + -1 \cdot k_{27} \cdot k_{17} \cdot x_{14}\right) / k_{27}