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