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