\frac{dx_{1}}{dt} = \left(1 \cdot k_{1} \cdot k_{2} \cdot k_{3}^{k_{4}} / \left(k_{3}^{k_{4}} + x_{19}^{k_{4}}\right) + -1 \cdot k_{1} \cdot k_{6} \cdot x_{1} + -1 \cdot k_{1} \cdot k_{44} \cdot x_{1} / \left(k_{45} + x_{1}\right)\right) / k_{1}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{1} \cdot k_{5} \cdot x_{1} + -1 \cdot k_{1} \cdot k_{7} \cdot x_{2} / \left(k_{8} + x_{2}\right) + -1 \cdot k_{1} \cdot \left(k_{9} \cdot x_{2} - k_{10} \cdot x_{4}\right) + -1 \cdot k_{1} \cdot k_{58} \cdot x_{2} + 1 \cdot k_{1} \cdot k_{69} \cdot x_{3} / \left(k_{70} + x_{3}\right)\right) / k_{1}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{1} \cdot k_{7} \cdot x_{2} / \left(k_{8} + x_{2}\right) + -1 \cdot k_{1} \cdot k_{34} \cdot x_{3} + -1 \cdot k_{1} \cdot k_{59} \cdot x_{3} / \left(k_{60} + x_{3}\right) + -1 \cdot k_{1} \cdot k_{69} \cdot x_{3} / \left(k_{70} + x_{3}\right)\right) / k_{1}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{9} \cdot x_{2} - k_{10} \cdot x_{4}\right) + -1 \cdot k_{1} \cdot \left(k_{42} \cdot x_{13} \cdot x_{4} - k_{43} \cdot x_{16}\right) + -1 \cdot k_{1} \cdot k_{61} \cdot x_{4} / \left(k_{62} + x_{4}\right) + -1 \cdot k_{1} \cdot k_{68} \cdot x_{4} + 1 \cdot k_{1} \cdot k_{71} \cdot x_{14} / \left(k_{72} + x_{14}\right)\right) / k_{1}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{1} \cdot k_{11} \cdot x_{6} + -1 \cdot k_{1} \cdot k_{13} \cdot x_{5} / \left(k_{14} + x_{5}\right) + -1 \cdot k_{1} \cdot \left(k_{25} \cdot x_{5} \cdot x_{9} - k_{26} \cdot x_{11}\right) + -1 \cdot k_{1} \cdot k_{51} \cdot x_{5} + 1 \cdot k_{1} \cdot k_{73} \cdot x_{7} / \left(k_{74} + x_{7}\right)\right) / k_{1}\\
\frac{dx_{6}}{dt} = \left(-1 \cdot k_{1} \cdot k_{12} \cdot x_{6} + 1 \cdot k_{1} \cdot k_{36} \cdot x_{4}^{k_{37}} / \left(k_{38}^{k_{37}} + x_{4}^{k_{37}}\right) + -1 \cdot k_{1} \cdot k_{46} \cdot x_{6} / \left(k_{47} + x_{6}\right)\right) / k_{1}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{1} \cdot k_{13} \cdot x_{5} / \left(k_{14} + x_{5}\right) + -1 \cdot k_{1} \cdot k_{15} \cdot x_{7} / \left(k_{16} + x_{7}\right) + -1 \cdot k_{1} \cdot k_{53} \cdot x_{7} + -1 \cdot k_{1} \cdot k_{73} \cdot x_{7} / \left(k_{74} + x_{7}\right)\right) / k_{1}\\
\frac{dx_{8}}{dt} = \left(1 \cdot k_{1} \cdot k_{17} \cdot x_{4}^{k_{18}} / \left(k_{19}^{k_{18}} + x_{4}^{k_{18}}\right) + -1 \cdot k_{1} \cdot k_{41} \cdot x_{8} + -1 \cdot k_{1} \cdot k_{48} \cdot x_{8} / \left(k_{49} + x_{8}\right)\right) / k_{1}\\
\frac{dx_{9}}{dt} = \left(1 \cdot k_{1} \cdot k_{20} \cdot x_{8} + -1 \cdot k_{1} \cdot k_{23} \cdot x_{9} / \left(k_{24} + x_{9}\right) + -1 \cdot k_{1} \cdot \left(k_{25} \cdot x_{5} \cdot x_{9} - k_{26} \cdot x_{11}\right) + -1 \cdot k_{1} \cdot k_{50} \cdot x_{9} + 1 \cdot k_{1} \cdot k_{75} \cdot x_{10} / \left(k_{76} + x_{10}\right)\right) / k_{1}\\
\frac{dx_{10}}{dt} = \left(-1 \cdot k_{1} \cdot k_{21} \cdot x_{10} / \left(k_{22} + x_{10}\right) + 1 \cdot k_{1} \cdot k_{23} \cdot x_{9} / \left(k_{24} + x_{9}\right) + -1 \cdot k_{1} \cdot k_{52} \cdot x_{10} + -1 \cdot k_{1} \cdot k_{75} \cdot x_{10} / \left(k_{76} + x_{10}\right)\right) / k_{1}\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{25} \cdot x_{5} \cdot x_{9} - k_{26} \cdot x_{11}\right) + -1 \cdot k_{1} \cdot k_{27} \cdot x_{11} / \left(k_{28} + x_{11}\right) + -1 \cdot k_{1} \cdot \left(k_{31} \cdot x_{11} - k_{32} \cdot x_{13}\right) + -1 \cdot k_{1} \cdot k_{55} \cdot x_{11} + 1 \cdot k_{1} \cdot k_{80} \cdot x_{12} / \left(k_{81} + x_{12}\right)\right) / k_{1}\\
\frac{dx_{12}}{dt} = \left(1 \cdot k_{1} \cdot k_{27} \cdot x_{11} / \left(k_{28} + x_{11}\right) + -1 \cdot k_{1} \cdot k_{29} \cdot x_{12} / \left(k_{30} + x_{12}\right) + -1 \cdot k_{1} \cdot k_{54} \cdot x_{12} + -1 \cdot k_{1} \cdot k_{80} \cdot x_{12} / \left(k_{81} + x_{12}\right)\right) / k_{1}\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{31} \cdot x_{11} - k_{32} \cdot x_{13}\right) + -1 \cdot k_{1} \cdot k_{39} \cdot x_{13} / \left(k_{40} + x_{13}\right) + -1 \cdot k_{1} \cdot \left(k_{42} \cdot x_{13} \cdot x_{4} - k_{43} \cdot x_{16}\right) + 1 \cdot k_{1} \cdot k_{77} \cdot x_{15} / \left(k_{78} + x_{15}\right) + -1 \cdot k_{1} \cdot k_{79} \cdot x_{13}\right) / k_{1}\\
\frac{dx_{14}}{dt} = \left(-1 \cdot k_{1} \cdot k_{35} \cdot x_{14} + 1 \cdot k_{1} \cdot k_{61} \cdot x_{4} / \left(k_{62} + x_{4}\right) + -1 \cdot k_{1} \cdot k_{63} \cdot x_{14} / \left(k_{64} + x_{14}\right) + -1 \cdot k_{1} \cdot k_{71} \cdot x_{14} / \left(k_{72} + x_{14}\right)\right) / k_{1}\\
\frac{dx_{15}}{dt} = \left(-1 \cdot k_{1} \cdot k_{33} \cdot x_{15} + 1 \cdot k_{1} \cdot k_{39} \cdot x_{13} / \left(k_{40} + x_{13}\right) + -1 \cdot k_{1} \cdot k_{56} \cdot x_{15} / \left(k_{57} + x_{15}\right) + -1 \cdot k_{1} \cdot k_{77} \cdot x_{15} / \left(k_{78} + x_{15}\right)\right) / k_{1}\\
\frac{dx_{16}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{42} \cdot x_{13} \cdot x_{4} - k_{43} \cdot x_{16}\right) + -1 \cdot k_{1} \cdot k_{65} \cdot x_{16} + -1 \cdot k_{1} \cdot k_{66} \cdot x_{16} / \left(k_{67} + x_{16}\right)\right) / k_{1}\\
\frac{dx_{17}}{dt} = \left(1 \cdot k_{1} \cdot k_{82} \cdot x_{4}^{k_{83}} / \left(k_{84}^{k_{83}} + x_{4}^{k_{83}}\right) + -1 \cdot k_{1} \cdot k_{85} \cdot x_{17} + -1 \cdot k_{1} \cdot k_{86} \cdot x_{17} / \left(k_{87} + x_{17}\right)\right) / k_{1}\\
\frac{dx_{18}}{dt} = \left(1 \cdot k_{1} \cdot k_{88} \cdot x_{17} + -1 \cdot k_{1} \cdot \left(k_{89} \cdot x_{18} - k_{90} \cdot x_{19}\right) + -1 \cdot k_{1} \cdot k_{91} \cdot x_{18} / \left(k_{92} + x_{18}\right) + -1 \cdot k_{1} \cdot k_{93} \cdot x_{18}\right) / k_{1}\\
\frac{dx_{19}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{89} \cdot x_{18} - k_{90} \cdot x_{19}\right) + -1 \cdot k_{1} \cdot k_{94} \cdot x_{19} / \left(k_{95} + x_{19}\right) + -1 \cdot k_{1} \cdot k_{96} \cdot x_{19}\right) / k_{1}