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