\frac{dx_{1}}{dt} = 1 \cdot k_{26} \cdot k_{1} \cdot x_{3}^{k_{11}} \cdot \left(1 - x_{1} / k_{8}\right) / k_{26}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{26} \cdot k_{2} \cdot x_{1}^{k_{12}} \cdot \left(1 - x_{1} / k_{8}\right) \cdot k_{13} + 1 \cdot k_{26} \cdot k_{3} \cdot x_{2}^{k_{14}} \cdot \left(1 - x_{1} / k_{8}\right) + -1 \cdot k_{26} \cdot k_{4} \cdot x_{2}^{k_{19}} \cdot x_{4}^{k_{20}} + -1 \cdot k_{26} \cdot k_{5} \cdot x_{2}\right) / k_{26}\\
\frac{dx_{3}}{dt} = \left(-1 \cdot k_{26} \cdot k_{1} \cdot x_{3}^{k_{11}} \cdot \left(1 - x_{1} / k_{8}\right) + 1 \cdot k_{26} \cdot k_{4} \cdot x_{2}^{k_{19}} \cdot x_{4}^{k_{20}} + -1 \cdot k_{26} \cdot k_{6} \cdot x_{3}^{k_{21}}\right) / k_{26}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{26} \cdot k_{7} \cdot x_{1}^{k_{15}} \cdot x_{2}^{k_{16}} \cdot k_{23} + x_{3}^{k_{17}} \cdot 1 - x_{1} / k_{8}^{k_{18}} + -1 \cdot k_{26} \cdot k_{24} \cdot x_{4}^{k_{22}}\right) / k_{26}\\
\frac{dx_{5}}{dt} = \left(-1 \cdot k_{26} \cdot k_{9} \cdot x_{4} + 1 \cdot k_{26} \cdot k_{10} \cdot x_{3}\right) / k_{26}