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