\frac{dx_{1}}{dt} = \left(-1 \cdot k_{2} \cdot k_{6} \cdot x_{1} / k_{4} / \left(1 + x_{1} / k_{4}\right) \cdot \left(1 + k_{3} \cdot x_{8} / k_{5}\right) / \left(1 + x_{8} / k_{5}\right) + 1 \cdot k_{2} \cdot k_{18} \cdot x_{9} \cdot x_{2} / k_{17} / \left(1 + x_{2} / k_{17}\right)\right) / k_{2}\\ \frac{dx_{2}}{dt} = \left(1 \cdot k_{2} \cdot k_{6} \cdot x_{1} / k_{4} / \left(1 + x_{1} / k_{4}\right) \cdot \left(1 + k_{3} \cdot x_{8} / k_{5}\right) / \left(1 + x_{8} / k_{5}\right) + -1 \cdot k_{2} \cdot k_{18} \cdot x_{9} \cdot x_{2} / k_{17} / \left(1 + x_{2} / k_{17}\right)\right) / k_{2}\\ \frac{dx_{3}}{dt} = \left(-1 \cdot k_{2} \cdot k_{9} \cdot x_{2} \cdot x_{3} / k_{7} / \left(\left(1 + x_{3} / k_{7} + x_{4} / k_{7}\right) \cdot \left(1 + x_{8} / k_{8}\right)\right) + 1 \cdot k_{2} \cdot k_{22} \cdot x_{10} \cdot x_{4} / k_{21} / \left(1 + x_{5} / k_{21} + x_{4} / k_{21}\right)\right) / k_{2}\\ \frac{dx_{4}}{dt} = \left(1 \cdot k_{2} \cdot k_{9} \cdot x_{2} \cdot x_{3} / k_{7} / \left(\left(1 + x_{3} / k_{7} + x_{4} / k_{7}\right) \cdot \left(1 + x_{8} / k_{8}\right)\right) + -1 \cdot k_{2} \cdot k_{12} \cdot x_{2} \cdot x_{4} / k_{10} / \left(\left(1 + x_{3} / k_{10} + x_{4} / k_{10}\right) \cdot \left(1 + x_{8} / k_{11}\right)\right) + 1 \cdot k_{2} \cdot k_{20} \cdot x_{10} \cdot x_{5} / k_{19} / \left(1 + x_{5} / k_{19} + x_{4} / k_{19}\right) + -1 \cdot k_{2} \cdot k_{22} \cdot x_{10} \cdot x_{4} / k_{21} / \left(1 + x_{5} / k_{21} + x_{4} / k_{21}\right)\right) / k_{2}\\ \frac{dx_{5}}{dt} = \left(1 \cdot k_{2} \cdot k_{12} \cdot x_{2} \cdot x_{4} / k_{10} / \left(\left(1 + x_{3} / k_{10} + x_{4} / k_{10}\right) \cdot \left(1 + x_{8} / k_{11}\right)\right) + -1 \cdot k_{2} \cdot k_{20} \cdot x_{10} \cdot x_{5} / k_{19} / \left(1 + x_{5} / k_{19} + x_{4} / k_{19}\right)\right) / k_{2}\\ \frac{dx_{6}}{dt} = \left(-1 \cdot k_{2} \cdot k_{14} \cdot x_{5} \cdot x_{6} / k_{13} / \left(1 + x_{6} / k_{13} + x_{7} / k_{13}\right) + 1 \cdot k_{2} \cdot k_{26} \cdot x_{11} \cdot x_{7} / k_{25} / \left(1 + x_{8} / k_{25} + x_{7} / k_{25}\right) + -1 \cdot k_{2} \cdot \left(k_{39} \cdot x_{6} - k_{40} \cdot x_{17}\right)\right) / k_{2}\\ \frac{dx_{7}}{dt} = \left(1 \cdot k_{2} \cdot k_{14} \cdot x_{5} \cdot x_{6} / k_{13} / \left(1 + x_{6} / k_{13} + x_{7} / k_{13}\right) + -1 \cdot k_{2} \cdot k_{16} \cdot x_{5} \cdot x_{7} / k_{15} / \left(1 + x_{6} / k_{15} + x_{7} / k_{15}\right) + 1 \cdot k_{2} \cdot k_{24} \cdot x_{11} \cdot x_{8} / k_{23} / \left(1 + x_{8} / k_{23} + x_{7} / k_{23}\right) + -1 \cdot k_{2} \cdot k_{26} \cdot x_{11} \cdot x_{7} / k_{25} / \left(1 + x_{8} / k_{25} + x_{7} / k_{25}\right) + -1 \cdot k_{2} \cdot \left(k_{41} \cdot x_{7} - k_{42} \cdot x_{18}\right)\right) / k_{2}\\ \frac{dx_{8}}{dt} = \left(1 \cdot k_{2} \cdot k_{16} \cdot x_{5} \cdot x_{7} / k_{15} / \left(1 + x_{6} / k_{15} + x_{7} / k_{15}\right) + -1 \cdot k_{2} \cdot k_{24} \cdot x_{11} \cdot x_{8} / k_{23} / \left(1 + x_{8} / k_{23} + x_{7} / k_{23}\right) + -1 \cdot k_{2} \cdot \left(k_{27} \cdot x_{8} - k_{28} \cdot x_{12}\right)\right) / k_{2}\\ \frac{dx_{9}}{dt} = 0 / k_{2}\\ \frac{dx_{10}}{dt} = 0 / k_{2}\\ \frac{dx_{11}}{dt} = 0 / k_{2}\\ \frac{dx_{12}}{dt} = \left(1 \cdot k_{2} \cdot \left(k_{27} \cdot x_{8} - k_{28} \cdot x_{12}\right) + -1 \cdot k_{2} \cdot k_{43} \cdot x_{16} \cdot x_{12} / k_{44} / \left(1 + x_{12} / k_{44} + x_{18} / k_{45}\right)\right) / k_{2}\\ \frac{dx_{13}}{dt} = \left(1 \cdot k_{2} \cdot k_{29} \cdot x_{12}^{k_{30}} / \left(k_{31}^{k_{30}} + x_{12}^{k_{30}}\right) + -1 \cdot k_{2} \cdot k_{32} \cdot x_{13}\right) / k_{2}\\ \frac{dx_{14}}{dt} = \left(1 \cdot k_{2} \cdot k_{32} \cdot x_{13} + -1 \cdot k_{2} \cdot k_{33} \cdot x_{14}\right) / k_{2}\\ \frac{dx_{15}}{dt} = \left(1 \cdot k_{2} \cdot k_{34} \cdot x_{14} + -1 \cdot k_{2} \cdot \left(k_{35} \cdot x_{15} - k_{36} \cdot x_{16}\right) + -1 \cdot k_{2} \cdot k_{37} \cdot x_{15}\right) / k_{2}\\ \frac{dx_{16}}{dt} = \left(1 \cdot k_{2} \cdot \left(k_{35} \cdot x_{15} - k_{36} \cdot x_{16}\right) + -1 \cdot k_{2} \cdot k_{38} \cdot x_{16}\right) / k_{2}\\ \frac{dx_{17}}{dt} = \left(1 \cdot k_{2} \cdot \left(k_{39} \cdot x_{6} - k_{40} \cdot x_{17}\right) + 1 \cdot k_{2} \cdot k_{46} \cdot x_{16} \cdot x_{18} / k_{47} / \left(1 + x_{18} / k_{47} + x_{12} / k_{48}\right)\right) / k_{2}\\ \frac{dx_{18}}{dt} = \left(1 \cdot k_{2} \cdot \left(k_{41} \cdot x_{7} - k_{42} \cdot x_{18}\right) + 1 \cdot k_{2} \cdot k_{43} \cdot x_{16} \cdot x_{12} / k_{44} / \left(1 + x_{12} / k_{44} + x_{18} / k_{45}\right) + -1 \cdot k_{2} \cdot k_{46} \cdot x_{16} \cdot x_{18} / k_{47} / \left(1 + x_{18} / k_{47} + x_{12} / k_{48}\right)\right) / k_{2}