\frac{dx_{1}}{dt} = \left(1 \cdot k_{22} \cdot k_{1} + -1 \cdot k_{22} \cdot k_{2} \cdot x_{1} + -1 \cdot k_{22} \cdot k_{3} \cdot x_{7} \cdot x_{1} / \left(k_{4} + x_{1}\right) + 1 \cdot k_{22} \cdot k_{5} \cdot x_{6} \cdot x_{3} / \left(k_{6} + x_{3}\right)\right) / k_{22}\\ \frac{dx_{2}}{dt} = \left(1 \cdot k_{22} \cdot k_{3} \cdot x_{7} \cdot x_{1} / \left(k_{4} + x_{1}\right) + -1 \cdot k_{22} \cdot \left(k_{7} \cdot x_{2} - k_{8} \cdot x_{3}\right)\right) / k_{22}\\ \frac{dx_{3}}{dt} = \left(1 \cdot k_{22} \cdot \left(k_{7} \cdot x_{2} - k_{8} \cdot x_{3}\right) + -1 \cdot k_{22} \cdot k_{5} \cdot x_{6} \cdot x_{3} / \left(k_{6} + x_{3}\right) + -1 \cdot k_{22} \cdot k_{9} \cdot \left(x_{3} \cdot k_{10} - k_{11} \cdot x_{4}\right)\right) / k_{22}\\ \frac{dx_{4}}{dt} = \left(-1 \cdot k_{22} \cdot k_{12} \cdot \left(x_{4} - k_{23}\right) + 1 \cdot k_{22} \cdot k_{9} \cdot \left(x_{3} \cdot k_{10} - k_{11} \cdot x_{4}\right)\right) / k_{22}\\ \frac{dx_{5}}{dt} = \left(1 \cdot k_{22} \cdot \left(k_{14} \cdot x_{2} / k_{17}^{k_{20}} / \left(1 + x_{2} / k_{17}^{k_{20}}\right) + k_{13}\right) + -1 \cdot k_{22} \cdot k_{21} \cdot x_{5}\right) / k_{22}\\ \frac{dx_{6}}{dt} = \left(1 \cdot k_{22} \cdot \left(k_{15} \cdot x_{2} / k_{18}^{k_{20}} / \left(1 + x_{2} / k_{18}^{k_{20}}\right) + k_{13}\right) + -1 \cdot k_{22} \cdot k_{21} \cdot x_{6}\right) / k_{22}\\ \frac{dx_{7}}{dt} = \left(1 \cdot \left(k_{16} / \left(1 + x_{5} / k_{19}^{k_{20}}\right) + k_{13}\right) + -1 \cdot k_{22} \cdot k_{21} \cdot x_{7}\right) / k_{22}\\ \frac{dx_{8}}{dt} = 0