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