\frac{dx_{1}}{dt} = \left(1 \cdot k_{28} \cdot k_{1} \cdot x_{1} \cdot \left(1 - x_{1} / k_{2}\right) + -1 \cdot k_{28} \cdot x_{1} \cdot \left(k_{16} \cdot 0 + \frac{1}{5} \cdot k_{16} / \left(k_{18} \cdot k_{17}^{2}\right) \cdot x_{2}^{2}\right) + -1 \cdot k_{28} \cdot \left(k_{11} \cdot x_{4} + k_{3}\right) \cdot x_{1}\right) / k_{28}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{28} \cdot 0 \cdot k_{17} + -1 \cdot k_{28} \cdot k_{18} \cdot x_{2}\right) / k_{28}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{28} \cdot k_{4} \cdot k_{26} \cdot x_{6} / \left(x_{1} + x_{6}\right) + k_{11} \cdot x_{4} + k_{3}^{2} / \left(k_{26} \cdot x_{6} / \left(x_{1} + x_{6}\right) + k_{11} \cdot x_{4} + k_{3}^{2} + k_{14}^{2}\right) \cdot \left(x_{1} + x_{6}\right) / \left(k_{26} \cdot x_{6} / \left(x_{1} + x_{6}\right) + k_{11} \cdot x_{4} + k_{3}^{2} / \left(k_{26} \cdot x_{6} / \left(x_{1} + x_{6}\right) + k_{11} \cdot x_{4} + k_{3}^{2} + k_{14}^{2}\right) \cdot \left(x_{1} + x_{6}\right) + k_{5}\right) + 1 \cdot k_{28} \cdot \left(1 - x_{5} / \left(1 + k_{27} / k_{22}\right)\right) \cdot \left(1 - k_{26} \cdot x_{6} / \left(x_{1} + x_{6}\right) + k_{11} \cdot x_{4} + k_{3}^{2} / \left(k_{26} \cdot x_{6} / \left(x_{1} + x_{6}\right) + k_{11} \cdot x_{4} + k_{3}^{2} + k_{14}^{2}\right) \cdot \left(x_{1} + x_{6}\right) / \left(k_{26} \cdot x_{6} / \left(x_{1} + x_{6}\right) + k_{11} \cdot x_{4} + k_{3}^{2} / \left(k_{26} \cdot x_{6} / \left(x_{1} + x_{6}\right) + k_{11} \cdot x_{4} + k_{3}^{2} + k_{14}^{2}\right) \cdot \left(x_{1} + x_{6}\right) + k_{15}\right)\right) \cdot x_{3} \cdot \left(k_{7} - k_{8}\right) + -1 \cdot k_{28} \cdot k_{9} \cdot x_{3}\right) / k_{28}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{28} \cdot \left(1 - x_{5} / \left(1 + k_{27} / k_{22}\right)\right) \cdot \left(1 - k_{26} \cdot x_{6} / \left(x_{1} + x_{6}\right) + k_{11} \cdot x_{4} + k_{3}^{2} / \left(k_{26} \cdot x_{6} / \left(x_{1} + x_{6}\right) + k_{11} \cdot x_{4} + k_{3}^{2} + k_{14}^{2}\right) \cdot \left(x_{1} + x_{6}\right) / \left(k_{26} \cdot x_{6} / \left(x_{1} + x_{6}\right) + k_{11} \cdot x_{4} + k_{3}^{2} / \left(k_{26} \cdot x_{6} / \left(x_{1} + x_{6}\right) + k_{11} \cdot x_{4} + k_{3}^{2} + k_{14}^{2}\right) \cdot \left(x_{1} + x_{6}\right) + k_{15}\right)\right) \cdot x_{3} \cdot k_{8} + -1 \cdot k_{28} \cdot k_{10} \cdot x_{4}\right) / k_{28}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{28} \cdot k_{13} \cdot x_{4} / \left(k_{12} + x_{4}\right) + -1 \cdot k_{28} \cdot k_{13} \cdot x_{5}\right) / k_{28}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{28} \cdot x_{1} \cdot \left(k_{16} \cdot 0 + \frac{1}{5} \cdot k_{16} / \left(k_{18} \cdot k_{17}^{2}\right) \cdot x_{2}^{2}\right) + -1 \cdot k_{28} \cdot k_{26} \cdot x_{6}\right) / k_{28}