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