\frac{dx_{1}}{dt} = \left(1 \cdot k_{41} \cdot k_{1} \cdot x_{3} / \left(k_{2} + x_{3}\right) \cdot k_{3} / \left(k_{3} + x_{1}\right) \cdot k_{4} / \left(k_{4} + x_{2}\right) + -1 \cdot k_{41} \cdot k_{5} \cdot x_{1} \cdot x_{5} + 1 \cdot k_{41} \cdot k_{6} \cdot x_{2} + -1 \cdot k_{41} \cdot k_{7} \cdot x_{1}\right) / k_{41}\\ \frac{dx_{2}}{dt} = \left(1 \cdot k_{41} \cdot k_{5} \cdot x_{1} \cdot x_{5} + -1 \cdot k_{41} \cdot k_{6} \cdot x_{2} + -1 \cdot k_{41} \cdot k_{29} \cdot x_{2} \cdot x_{9} + 1 \cdot k_{41} \cdot k_{30} \cdot x_{7} + -1 \cdot k_{41} \cdot k_{32} \cdot x_{2}\right) / k_{41}\\ \frac{dx_{3}}{dt} = \left(1 \cdot k_{41} \cdot \left(k_{8} + k_{9} \cdot \left(k_{10}^{2} + x_{3}^{2}\right) / \left(k_{11}^{2} + x_{3}^{2}\right) \cdot k_{12} / \left(k_{12} + x_{1}\right) \cdot k_{13} / \left(k_{13} + x_{2}\right)\right) + -1 \cdot k_{41} \cdot k_{14} \cdot x_{3}\right) / k_{41}\\ \frac{dx_{4}}{dt} = \left(1 \cdot k_{41} \cdot \left(k_{15} \cdot x_{6} + k_{16} \cdot x_{3} \cdot k_{17} / \left(k_{17} + x_{1}\right) \cdot k_{18} / \left(k_{18} + x_{2}\right)\right) + 1 \cdot k_{41} \cdot k_{22} \cdot x_{5} + -1 \cdot k_{41} \cdot k_{19} \cdot x_{4} \cdot x_{5} / \left(k_{20} + x_{5}\right) + -1 \cdot k_{41} \cdot k_{21} \cdot x_{4}\right) / k_{41}\\ \frac{dx_{5}}{dt} = \left(-1 \cdot k_{41} \cdot k_{22} \cdot x_{5} + 1 \cdot k_{41} \cdot k_{19} \cdot x_{4} \cdot x_{5} / \left(k_{20} + x_{5}\right) + -1 \cdot k_{41} \cdot k_{23} \cdot x_{5}\right) / k_{41}\\ \frac{dx_{6}}{dt} = \left(1 \cdot k_{41} \cdot \left(k_{24} + k_{25} \cdot x_{3} \cdot k_{26} / \left(k_{26} + x_{1}\right) \cdot k_{27} / \left(k_{27} + x_{2}\right)\right) + -1 \cdot k_{41} \cdot k_{28} \cdot x_{6}\right) / k_{41}\\ \frac{dx_{7}}{dt} = \left(1 \cdot k_{41} \cdot k_{29} \cdot x_{2} \cdot x_{9} + -1 \cdot k_{41} \cdot k_{30} \cdot x_{7} + -1 \cdot k_{41} \cdot k_{31} \cdot x_{7}\right) / k_{41}\\ \frac{dx_{8}}{dt} = \left(1 \cdot k_{41} \cdot k_{33} \cdot x_{3} \cdot k_{34} / \left(k_{34} + x_{1}\right) \cdot k_{35} / \left(k_{35} + x_{2}\right) + -1 \cdot k_{41} \cdot k_{36} \cdot x_{8} \cdot x_{9} / \left(k_{37} + x_{9}\right) + 1 \cdot k_{41} \cdot k_{38} \cdot x_{9} + -1 \cdot k_{41} \cdot k_{39} \cdot x_{8}\right) / k_{41}\\ \frac{dx_{9}}{dt} = \left(1 \cdot k_{41} \cdot k_{36} \cdot x_{8} \cdot x_{9} / \left(k_{37} + x_{9}\right) + -1 \cdot k_{41} \cdot k_{38} \cdot x_{9} + -1 \cdot k_{41} \cdot k_{40} \cdot x_{9}\right) / k_{41}