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