\frac{dx_{1}}{dt} = \left(1 \cdot k_{55} \cdot k_{2} \cdot x_{7} \cdot k_{1} \cdot \left(1 + x_{20} / k_{47} + x_{12} / k_{48} + x_{5} / k_{49} + x_{3} / k_{50}\right) / \left(k_{1} + k_{3} \cdot \left(1 + x_{1} / k_{54}\right)\right) + -1 \cdot k_{55} \cdot k_{4} \cdot x_{8} \cdot x_{1} / \left(x_{1} + k_{5} \cdot \left(1 + x_{12} / k_{54}\right)\right) + -1 \cdot k_{55} \cdot k_{6} \cdot x_{9} \cdot x_{1} / \left(x_{1} + k_{7} \cdot \left(1 + x_{20} / k_{46} + x_{19} / k_{44} + x_{20} / k_{54}\right)\right) + -1 \cdot k_{55} \cdot k_{8} \cdot x_{10} \cdot x_{1} / \left(x_{1} + k_{9} \cdot \left(1 + x_{23} / k_{32} + x_{22} / k_{54}\right)\right) + -1 \cdot k_{55} \cdot k_{14} \cdot x_{14} \cdot x_{1} / \left(x_{1} + k_{15} \cdot \left(1 + x_{21} / k_{36} + x_{19} / k_{37} + x_{23} / k_{40} + x_{3} / k_{41} + x_{2} / k_{54}\right)\right) + -1 \cdot \frac{1}{10} \cdot x_{1} \cdot k_{55}\right) / k_{55}\\ \frac{dx_{2}}{dt} = \left(1 \cdot k_{55} \cdot k_{14} \cdot x_{14} \cdot x_{1} / \left(x_{1} + k_{15} \cdot \left(1 + x_{21} / k_{36} + x_{19} / k_{37} + x_{23} / k_{40} + x_{3} / k_{41} + x_{2} / k_{54}\right)\right) + -1 \cdot k_{55} \cdot k_{20} \cdot x_{17} \cdot x_{2} / \left(x_{2} + k_{21} \cdot \left(1 + x_{3} / k_{54}\right)\right) + -1 \cdot k_{55} \cdot k_{14} \cdot x_{14} \cdot x_{2} / \left(x_{2} + k_{15} \cdot \left(1 + x_{21} / k_{36} + x_{19} / k_{37} + x_{23} / k_{40} + x_{3} / k_{41} + x_{4} / k_{54}\right)\right)\right) / k_{55}\\ \frac{dx_{3}}{dt} = \left(1 \cdot k_{55} \cdot k_{20} \cdot x_{17} \cdot x_{2} / \left(x_{2} + k_{21} \cdot \left(1 + x_{3} / k_{54}\right)\right) + -1 \cdot k_{26} \cdot x_{3} \cdot k_{55}\right) / k_{55}\\ \frac{dx_{4}}{dt} = \left(1 \cdot k_{55} \cdot k_{14} \cdot x_{14} \cdot x_{2} / \left(x_{2} + k_{15} \cdot \left(1 + x_{21} / k_{36} + x_{19} / k_{37} + x_{23} / k_{40} + x_{3} / k_{41} + x_{4} / k_{54}\right)\right) + -1 \cdot k_{55} \cdot k_{16} \cdot x_{15} \cdot x_{4} / \left(x_{4} + k_{17} \cdot \left(1 + x_{5} / k_{54}\right)\right) + -1 \cdot k_{55} \cdot x_{4} \cdot k_{27}\right) / k_{55}\\ \frac{dx_{5}}{dt} = \left(1 \cdot k_{55} \cdot k_{16} \cdot x_{15} \cdot x_{4} / \left(x_{4} + k_{17} \cdot \left(1 + x_{5} / k_{54}\right)\right) + -1 \cdot k_{55} \cdot k_{18} \cdot x_{16} \cdot x_{5} / \left(x_{5} + k_{19} \cdot \left(1 + x_{21} / k_{42} + x_{3} / k_{43} + x_{6} / k_{54}\right)\right) + -1 \cdot k_{55} \cdot k_{28} \cdot x_{5}\right) / k_{55}\\ \frac{dx_{6}}{dt} = 1 \cdot k_{55} \cdot k_{18} \cdot x_{16} \cdot x_{5} / \left(x_{5} + k_{19} \cdot \left(1 + x_{21} / k_{42} + x_{3} / k_{43} + x_{6} / k_{54}\right)\right) / k_{55}\\ \frac{dx_{7}}{dt} = 0 / k_{55}\\ \frac{dx_{8}}{dt} = \left(1 \cdot k_{55} \cdot k_{53} \cdot x_{23} \cdot x_{23} / \left(x_{23} \cdot x_{23} + k_{52} \cdot k_{52}\right) + -1 \cdot k_{55} \cdot k_{29} \cdot x_{8}\right) / k_{55}\\ \frac{dx_{9}}{dt} = -1 \cdot k_{55} \cdot k_{45} \cdot x_{12} \cdot x_{9} / k_{55}\\ \frac{dx_{10}}{dt} = 0 / k_{55}\\ \frac{dx_{11}}{dt} = 0 / k_{55}\\ \frac{dx_{12}}{dt} = \left(1 \cdot k_{55} \cdot k_{4} \cdot x_{8} \cdot x_{1} / \left(x_{1} + k_{5} \cdot \left(1 + x_{12} / k_{54}\right)\right) + -1 \cdot k_{55} \cdot k_{20} \cdot x_{17} \cdot x_{12} / \left(x_{12} + k_{21} \cdot \left(1 + x_{19} / k_{54}\right)\right) + -1 \cdot k_{22} \cdot k_{55} \cdot x_{12}\right) / k_{55}\\ \frac{dx_{13}}{dt} = \left(-1 \cdot k_{33} \cdot x_{12} \cdot x_{13} \cdot k_{55} + -1 \cdot k_{55} \cdot k_{34} \cdot x_{22} \cdot x_{13}\right) / k_{55}\\ \frac{dx_{14}}{dt} = \left(1 \cdot k_{55} \cdot k_{51} \cdot x_{5} \cdot x_{14} + -1 \cdot k_{55} \cdot k_{38} \cdot x_{4} \cdot x_{14} + -1 \cdot k_{55} \cdot k_{39} \cdot x_{2} \cdot x_{14} + -1 \cdot k_{55} \cdot k_{35} \cdot x_{14} \cdot x_{12}\right) / k_{55}\\ \frac{dx_{15}}{dt} = -1 \cdot k_{55} \cdot k_{16} \cdot x_{15} \cdot x_{4} / \left(\left(x_{4} + k_{17}\right) \cdot 129\right) / k_{55}\\ \frac{dx_{16}}{dt} = 0 / k_{55}\\ \frac{dx_{17}}{dt} = 0 / k_{55}\\ \frac{dx_{18}}{dt} = 0 / k_{55}\\ \frac{dx_{19}}{dt} = \left(1 \cdot k_{55} \cdot k_{20} \cdot x_{17} \cdot x_{12} / \left(x_{12} + k_{21} \cdot \left(1 + x_{19} / k_{54}\right)\right) + -1 \cdot k_{23} \cdot x_{19} \cdot k_{55}\right) / k_{55}\\ \frac{dx_{20}}{dt} = \left(1 \cdot k_{55} \cdot k_{6} \cdot x_{9} \cdot x_{1} / \left(x_{1} + k_{7} \cdot \left(1 + x_{20} / k_{46} + x_{19} / k_{44} + x_{20} / k_{54}\right)\right) + -1 \cdot k_{55} \cdot k_{20} \cdot x_{17} \cdot x_{20} / \left(x_{20} + k_{21} \cdot \left(1 + x_{21} / k_{54}\right)\right)\right) / k_{55}\\ \frac{dx_{21}}{dt} = 1 \cdot k_{55} \cdot k_{20} \cdot x_{17} \cdot x_{20} / \left(x_{20} + k_{21} \cdot \left(1 + x_{21} / k_{54}\right)\right) / k_{55}\\ \frac{dx_{22}}{dt} = \left(1 \cdot k_{55} \cdot k_{8} \cdot x_{10} \cdot x_{1} / \left(x_{1} + k_{9} \cdot \left(1 + x_{23} / k_{32} + x_{22} / k_{54}\right)\right) + -1 \cdot k_{55} \cdot k_{10} \cdot x_{11} \cdot x_{22} / \left(x_{22} + k_{11} \cdot \left(1 + x_{1} / k_{30} + x_{19} / k_{31} + x_{23} / k_{54}\right)\right) + -1 \cdot k_{55} \cdot k_{12} \cdot x_{13} \cdot x_{22} / \left(x_{22} + k_{13} \cdot \left(1 + x_{24} / k_{54}\right)\right)\right) / k_{55}\\ \frac{dx_{23}}{dt} = 1 \cdot k_{55} \cdot k_{10} \cdot x_{11} \cdot x_{22} / \left(x_{22} + k_{11} \cdot \left(1 + x_{1} / k_{30} + x_{19} / k_{31} + x_{23} / k_{54}\right)\right) / k_{55}\\ \frac{dx_{24}}{dt} = \left(1 \cdot k_{55} \cdot k_{12} \cdot x_{13} \cdot x_{22} / \left(x_{22} + k_{13} \cdot \left(1 + x_{24} / k_{54}\right)\right) + -1 \cdot k_{55} \cdot k_{24} \cdot x_{24}\right) / k_{55}\\ \frac{dx_{25}}{dt} = \left(1 \cdot k_{24} \cdot x_{24} \cdot k_{55} + -1 \cdot k_{25} \cdot x_{25} \cdot k_{55}\right) / k_{55}