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