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