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