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