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