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