\frac{dx_{1}}{dt} = \left(1 \cdot k_{30} \cdot k_{24} \cdot x_{2} / \left(x_{2} + k_{28}\right) \cdot k_{29}^{2} / \left(k_{29}^{2} + x_{3}^{2}\right) + -1 \cdot k_{30} \cdot k_{18} \cdot x_{1} \cdot x_{8}\right) / k_{30}\\ \frac{dx_{2}}{dt} = \left(1 \cdot k_{30} \cdot k_{23} \cdot x_{1} / \left(x_{1} + k_{26} + k_{27} \cdot x_{1} \cdot x_{6}\right) + 1 \cdot k_{30} \cdot k_{24} \cdot x_{2} / \left(x_{2} + k_{28}\right) \cdot k_{29}^{2} / \left(k_{29}^{2} + x_{3}^{2}\right) + -1 \cdot k_{30} \cdot k_{10} \cdot x_{2}\right) / k_{30}\\ \frac{dx_{3}}{dt} = \left(1 \cdot k_{30} \cdot 2 \cdot k_{23} \cdot x_{1} / \left(x_{1} + k_{26} + k_{27} \cdot x_{1} \cdot x_{6}\right) + 1 \cdot k_{30} \cdot k_{22} \cdot x_{4} / \left(x_{4} + k_{8}\right) \cdot k_{25} / \left(k_{25} + x_{5}\right) + -1 \cdot k_{30} \cdot k_{11} \cdot x_{3}\right) / k_{30}\\ \frac{dx_{4}}{dt} = \left(1 \cdot k_{30} \cdot k_{23} \cdot x_{1} / \left(x_{1} + k_{26} + k_{27} \cdot x_{1} \cdot x_{6}\right) + -1 \cdot k_{30} \cdot k_{14} \cdot x_{4}\right) / k_{30}\\ \frac{dx_{5}}{dt} = \left(1 \cdot k_{30} \cdot 2 \cdot k_{24} \cdot x_{2} / \left(x_{2} + k_{28}\right) \cdot k_{29}^{2} / \left(k_{29}^{2} + x_{3}^{2}\right) + -1 \cdot k_{30} \cdot k_{15} \cdot x_{5}\right) / k_{30}\\ \frac{dx_{6}}{dt} = \left(1 \cdot k_{30} \cdot 2 \cdot k_{24} \cdot x_{2} / \left(x_{2} + k_{28}\right) \cdot k_{29}^{2} / \left(k_{29}^{2} + x_{3}^{2}\right) + 1 \cdot k_{30} \cdot k_{23} \cdot x_{1} / \left(x_{1} + k_{26} + k_{27} \cdot x_{1} \cdot x_{6}\right) + -1 \cdot k_{30} \cdot k_{16} \cdot x_{7} \cdot x_{6} + 1 \cdot k_{30} \cdot k_{17} \cdot x_{8} + -1 \cdot k_{30} \cdot k_{13} \cdot x_{6}\right) / k_{30}\\ \frac{dx_{7}}{dt} = \left(-1 \cdot k_{30} \cdot k_{16} \cdot x_{7} \cdot x_{6} + 1 \cdot k_{30} \cdot k_{17} \cdot x_{8} + 1 \cdot k_{30} \cdot k_{23} \cdot x_{1} / \left(x_{1} + k_{26} + k_{27} \cdot x_{1} \cdot x_{6}\right) + 1 \cdot k_{30} \cdot k_{22} \cdot x_{4} / \left(x_{4} + k_{8}\right) \cdot k_{25} / \left(k_{25} + x_{5}\right) + -1 \cdot k_{30} \cdot k_{12} \cdot x_{7}\right) / k_{30}\\ \frac{dx_{8}}{dt} = \left(1 \cdot k_{30} \cdot k_{16} \cdot x_{7} \cdot x_{6} + -1 \cdot k_{30} \cdot k_{17} \cdot x_{8} + -1 \cdot k_{30} \cdot k_{18} \cdot x_{1} \cdot x_{8}\right) / k_{30}