\frac{dx_{1}}{dt} = 0\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{3} \cdot \left(k_{90} - x_{2}\right) / k_{4} / \left(1 + \left(k_{90} + x_{2}\right) / k_{4} + k_{5} \cdot k_{90} \cdot x_{2} / k_{4}^{2}\right) + -1 \cdot k_{1} \cdot k_{6} \cdot \left(x_{2} \cdot x_{3} / \left(k_{7} \cdot k_{8}\right) - x_{4} \cdot x_{5} / \left(k_{7} \cdot k_{8} \cdot k_{9}\right)\right) / \left(\left(1 + x_{2} / k_{7} + x_{4} / k_{10}\right) \cdot \left(1 + x_{3} / k_{8} + x_{5} / k_{11}\right)\right)\right) / k_{1}\\
\frac{dx_{3}}{dt} = \left(-1 \cdot k_{1} \cdot k_{6} \cdot \left(x_{2} \cdot x_{3} / \left(k_{7} \cdot k_{8}\right) - x_{4} \cdot x_{5} / \left(k_{7} \cdot k_{8} \cdot k_{9}\right)\right) / \left(\left(1 + x_{2} / k_{7} + x_{4} / k_{10}\right) \cdot \left(1 + x_{3} / k_{8} + x_{5} / k_{11}\right)\right) + -1 \cdot k_{1} \cdot k_{16} \cdot k_{17} \cdot x_{6} / k_{18} \cdot x_{3} / k_{19} \cdot \left(1 + x_{6} / k_{18} + x_{3} / k_{19} + k_{17} \cdot x_{6} / k_{18} \cdot x_{3} / k_{19}\right) / \left(1 + x_{6} / k_{18} + x_{3} / k_{19} + k_{17} \cdot x_{6} / k_{18} \cdot x_{3} / k_{19}^{2} + k_{20} \cdot \left(1 + k_{21} \cdot x_{3} / k_{22}\right) / \left(1 + x_{3} / k_{22}\right)^{2} \cdot \left(1 + k_{23} \cdot x_{8} / k_{24}\right) / \left(1 + x_{8} / k_{24}\right)^{2} \cdot \left(1 + k_{25} \cdot k_{91} / k_{26} + k_{27} \cdot x_{7} / k_{28}\right) / \left(1 + k_{91} / k_{26} + x_{7} / k_{28}\right)^{2} \cdot 1 + k_{29} \cdot x_{3} / k_{19}^{2}\right) + 1 \cdot k_{1} \cdot k_{45} \cdot \left(k_{46} \cdot x_{13} \cdot x_{5} - x_{15} \cdot x_{3}\right) / \left(k_{47} \cdot k_{48}\right) / \left(\left(1 + x_{13} / k_{49} + x_{15} / k_{47}\right) \cdot \left(1 + x_{5} / k_{50} + x_{3} / k_{48}\right)\right) + 1 \cdot k_{1} \cdot k_{59} \cdot \left(x_{17} \cdot x_{5} / \left(k_{60} \cdot k_{61}\right) - x_{18} \cdot x_{3} / \left(k_{60} \cdot k_{61} \cdot k_{62}\right)\right) / \left(\left(1 + x_{17} / k_{60} + x_{18} / k_{63}\right) \cdot \left(1 + x_{5} / k_{61} + x_{3} / k_{64}\right)\right) + -1 \cdot k_{1} \cdot k_{78} \cdot x_{3} + 1 \cdot k_{1} \cdot \left(k_{79} \cdot x_{5} \cdot x_{5} - k_{80} \cdot x_{3} \cdot x_{8}\right) + -1 \cdot k_{1} \cdot k_{87} + -1 \cdot k_{1} \cdot k_{88}\right) / k_{1}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{1} \cdot k_{6} \cdot \left(x_{2} \cdot x_{3} / \left(k_{7} \cdot k_{8}\right) - x_{4} \cdot x_{5} / \left(k_{7} \cdot k_{8} \cdot k_{9}\right)\right) / \left(\left(1 + x_{2} / k_{7} + x_{4} / k_{10}\right) \cdot \left(1 + x_{3} / k_{8} + x_{5} / k_{11}\right)\right) + -1 \cdot k_{1} \cdot k_{12} \cdot \left(x_{4} / k_{13} - x_{6} / \left(k_{13} \cdot k_{14}\right)\right) / \left(1 + x_{4} / k_{13} + x_{6} / k_{15}\right) + -1 \cdot k_{1} \cdot k_{87} + -2 \cdot k_{1} \cdot k_{88}\right) / k_{1}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{1} \cdot k_{6} \cdot \left(x_{2} \cdot x_{3} / \left(k_{7} \cdot k_{8}\right) - x_{4} \cdot x_{5} / \left(k_{7} \cdot k_{8} \cdot k_{9}\right)\right) / \left(\left(1 + x_{2} / k_{7} + x_{4} / k_{10}\right) \cdot \left(1 + x_{3} / k_{8} + x_{5} / k_{11}\right)\right) + 1 \cdot k_{1} \cdot k_{16} \cdot k_{17} \cdot x_{6} / k_{18} \cdot x_{3} / k_{19} \cdot \left(1 + x_{6} / k_{18} + x_{3} / k_{19} + k_{17} \cdot x_{6} / k_{18} \cdot x_{3} / k_{19}\right) / \left(1 + x_{6} / k_{18} + x_{3} / k_{19} + k_{17} \cdot x_{6} / k_{18} \cdot x_{3} / k_{19}^{2} + k_{20} \cdot \left(1 + k_{21} \cdot x_{3} / k_{22}\right) / \left(1 + x_{3} / k_{22}\right)^{2} \cdot \left(1 + k_{23} \cdot x_{8} / k_{24}\right) / \left(1 + x_{8} / k_{24}\right)^{2} \cdot \left(1 + k_{25} \cdot k_{91} / k_{26} + k_{27} \cdot x_{7} / k_{28}\right) / \left(1 + k_{91} / k_{26} + x_{7} / k_{28}\right)^{2} \cdot 1 + k_{29} \cdot x_{3} / k_{19}^{2}\right) + -1 \cdot k_{1} \cdot k_{45} \cdot \left(k_{46} \cdot x_{13} \cdot x_{5} - x_{15} \cdot x_{3}\right) / \left(k_{47} \cdot k_{48}\right) / \left(\left(1 + x_{13} / k_{49} + x_{15} / k_{47}\right) \cdot \left(1 + x_{5} / k_{50} + x_{3} / k_{48}\right)\right) + -1 \cdot k_{1} \cdot k_{59} \cdot \left(x_{17} \cdot x_{5} / \left(k_{60} \cdot k_{61}\right) - x_{18} \cdot x_{3} / \left(k_{60} \cdot k_{61} \cdot k_{62}\right)\right) / \left(\left(1 + x_{17} / k_{60} + x_{18} / k_{63}\right) \cdot \left(1 + x_{5} / k_{61} + x_{3} / k_{64}\right)\right) + 1 \cdot k_{1} \cdot k_{78} \cdot x_{3} + -2 \cdot k_{1} \cdot \left(k_{79} \cdot x_{5} \cdot x_{5} - k_{80} \cdot x_{3} \cdot x_{8}\right) + 1 \cdot k_{1} \cdot k_{87} + 1 \cdot k_{1} \cdot k_{88}\right) / k_{1}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{1} \cdot k_{12} \cdot \left(x_{4} / k_{13} - x_{6} / \left(k_{13} \cdot k_{14}\right)\right) / \left(1 + x_{4} / k_{13} + x_{6} / k_{15}\right) + -1 \cdot k_{1} \cdot k_{16} \cdot k_{17} \cdot x_{6} / k_{18} \cdot x_{3} / k_{19} \cdot \left(1 + x_{6} / k_{18} + x_{3} / k_{19} + k_{17} \cdot x_{6} / k_{18} \cdot x_{3} / k_{19}\right) / \left(1 + x_{6} / k_{18} + x_{3} / k_{19} + k_{17} \cdot x_{6} / k_{18} \cdot x_{3} / k_{19}^{2} + k_{20} \cdot \left(1 + k_{21} \cdot x_{3} / k_{22}\right) / \left(1 + x_{3} / k_{22}\right)^{2} \cdot \left(1 + k_{23} \cdot x_{8} / k_{24}\right) / \left(1 + x_{8} / k_{24}\right)^{2} \cdot \left(1 + k_{25} \cdot k_{91} / k_{26} + k_{27} \cdot x_{7} / k_{28}\right) / \left(1 + k_{91} / k_{26} + x_{7} / k_{28}\right)^{2} \cdot 1 + k_{29} \cdot x_{3} / k_{19}^{2}\right)\right) / k_{1}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{1} \cdot k_{16} \cdot k_{17} \cdot x_{6} / k_{18} \cdot x_{3} / k_{19} \cdot \left(1 + x_{6} / k_{18} + x_{3} / k_{19} + k_{17} \cdot x_{6} / k_{18} \cdot x_{3} / k_{19}\right) / \left(1 + x_{6} / k_{18} + x_{3} / k_{19} + k_{17} \cdot x_{6} / k_{18} \cdot x_{3} / k_{19}^{2} + k_{20} \cdot \left(1 + k_{21} \cdot x_{3} / k_{22}\right) / \left(1 + x_{3} / k_{22}\right)^{2} \cdot \left(1 + k_{23} \cdot x_{8} / k_{24}\right) / \left(1 + x_{8} / k_{24}\right)^{2} \cdot \left(1 + k_{25} \cdot k_{91} / k_{26} + k_{27} \cdot x_{7} / k_{28}\right) / \left(1 + k_{91} / k_{26} + x_{7} / k_{28}\right)^{2} \cdot 1 + k_{29} \cdot x_{3} / k_{19}^{2}\right) + -1 \cdot k_{1} \cdot k_{30} \cdot \left(x_{7} / k_{31} - x_{10} \cdot x_{11} / \left(k_{31} \cdot k_{32}\right)\right) / \left(1 + x_{7} / k_{31} + x_{10} / k_{33} + x_{11} / k_{34} + x_{7} \cdot x_{11} / \left(k_{31} \cdot k_{35}\right) + x_{10} \cdot x_{11} / \left(k_{33} \cdot k_{34}\right)\right)\right) / k_{1}\\
\frac{dx_{8}}{dt} = 1 \cdot k_{1} \cdot \left(k_{79} \cdot x_{5} \cdot x_{5} - k_{80} \cdot x_{3} \cdot x_{8}\right) / k_{1}\\
\frac{dx_{9}}{dt} = 0\\
\frac{dx_{10}}{dt} = \left(1 \cdot k_{1} \cdot k_{30} \cdot \left(x_{7} / k_{31} - x_{10} \cdot x_{11} / \left(k_{31} \cdot k_{32}\right)\right) / \left(1 + x_{7} / k_{31} + x_{10} / k_{33} + x_{11} / k_{34} + x_{7} \cdot x_{11} / \left(k_{31} \cdot k_{35}\right) + x_{10} \cdot x_{11} / \left(k_{33} \cdot k_{34}\right)\right) + -1 \cdot k_{1} \cdot \left(k_{36} \cdot x_{10} - k_{37} \cdot x_{11}\right) + -1 \cdot k_{1} \cdot k_{81} \cdot \left(x_{10} / k_{82} \cdot x_{14} / k_{83} - k_{94} / k_{82} \cdot x_{12} / k_{83} \cdot 1 / k_{84}\right) / \left(\left(1 + x_{10} / k_{82} + k_{94} / k_{85}\right) \cdot \left(1 + x_{14} / k_{83} + x_{12} / k_{86}\right)\right)\right) / k_{1}\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{1} \cdot k_{30} \cdot \left(x_{7} / k_{31} - x_{10} \cdot x_{11} / \left(k_{31} \cdot k_{32}\right)\right) / \left(1 + x_{7} / k_{31} + x_{10} / k_{33} + x_{11} / k_{34} + x_{7} \cdot x_{11} / \left(k_{31} \cdot k_{35}\right) + x_{10} \cdot x_{11} / \left(k_{33} \cdot k_{34}\right)\right) + 1 \cdot k_{1} \cdot \left(k_{36} \cdot x_{10} - k_{37} \cdot x_{11}\right) + -1 \cdot k_{1} \cdot k_{38} \cdot \left(k_{39} \cdot x_{11} \cdot x_{12} / \left(k_{40} \cdot k_{41}\right) - k_{42} \cdot x_{13} \cdot x_{14} / \left(k_{43} \cdot k_{44}\right)\right) / \left(\left(1 + x_{11} / k_{40} + x_{13} / k_{43}\right) \cdot \left(1 + x_{12} / k_{41} + x_{14} / k_{44}\right)\right)\right) / k_{1}\\
\frac{dx_{12}}{dt} = \left(-1 \cdot k_{1} \cdot k_{38} \cdot \left(k_{39} \cdot x_{11} \cdot x_{12} / \left(k_{40} \cdot k_{41}\right) - k_{42} \cdot x_{13} \cdot x_{14} / \left(k_{43} \cdot k_{44}\right)\right) / \left(\left(1 + x_{11} / k_{40} + x_{13} / k_{43}\right) \cdot \left(1 + x_{12} / k_{41} + x_{14} / k_{44}\right)\right) + -1 \cdot k_{1} \cdot k_{68} \cdot \left(k_{93} \cdot x_{12} / \left(k_{69} \cdot k_{70}\right) - x_{19} \cdot x_{14} / \left(k_{69} \cdot k_{70} \cdot k_{71}\right)\right) / \left(1 + x_{12} / k_{70} + k_{93} \cdot k_{72} / \left(k_{70} \cdot k_{69}\right) + x_{19} \cdot k_{73} / \left(k_{74} \cdot k_{75}\right) + x_{14} / k_{74} + k_{93} \cdot x_{12} / \left(k_{70} \cdot k_{69}\right) + x_{12} \cdot x_{19} \cdot k_{73} / \left(k_{70} \cdot k_{74} \cdot k_{75}\right) + k_{93} \cdot x_{14} \cdot k_{72} / \left(k_{70} \cdot k_{74} \cdot k_{69}\right) + x_{19} \cdot x_{14} / \left(k_{75} \cdot k_{74}\right) + k_{93} \cdot x_{12} \cdot x_{19} / \left(k_{70} \cdot k_{76} \cdot k_{69}\right) + k_{93} \cdot x_{19} \cdot x_{14} / \left(k_{77} \cdot k_{74} \cdot k_{75}\right)\right) + 1 \cdot k_{1} \cdot k_{81} \cdot \left(x_{10} / k_{82} \cdot x_{14} / k_{83} - k_{94} / k_{82} \cdot x_{12} / k_{83} \cdot 1 / k_{84}\right) / \left(\left(1 + x_{10} / k_{82} + k_{94} / k_{85}\right) \cdot \left(1 + x_{14} / k_{83} + x_{12} / k_{86}\right)\right) + -3 \cdot k_{1} \cdot k_{89} \cdot x_{19}\right) / k_{1}\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{1} \cdot k_{38} \cdot \left(k_{39} \cdot x_{11} \cdot x_{12} / \left(k_{40} \cdot k_{41}\right) - k_{42} \cdot x_{13} \cdot x_{14} / \left(k_{43} \cdot k_{44}\right)\right) / \left(\left(1 + x_{11} / k_{40} + x_{13} / k_{43}\right) \cdot \left(1 + x_{12} / k_{41} + x_{14} / k_{44}\right)\right) + -1 \cdot k_{1} \cdot k_{45} \cdot \left(k_{46} \cdot x_{13} \cdot x_{5} - x_{15} \cdot x_{3}\right) / \left(k_{47} \cdot k_{48}\right) / \left(\left(1 + x_{13} / k_{49} + x_{15} / k_{47}\right) \cdot \left(1 + x_{5} / k_{50} + x_{3} / k_{48}\right)\right)\right) / k_{1}\\
\frac{dx_{14}}{dt} = \left(1 \cdot k_{1} \cdot k_{38} \cdot \left(k_{39} \cdot x_{11} \cdot x_{12} / \left(k_{40} \cdot k_{41}\right) - k_{42} \cdot x_{13} \cdot x_{14} / \left(k_{43} \cdot k_{44}\right)\right) / \left(\left(1 + x_{11} / k_{40} + x_{13} / k_{43}\right) \cdot \left(1 + x_{12} / k_{41} + x_{14} / k_{44}\right)\right) + 1 \cdot k_{1} \cdot k_{68} \cdot \left(k_{93} \cdot x_{12} / \left(k_{69} \cdot k_{70}\right) - x_{19} \cdot x_{14} / \left(k_{69} \cdot k_{70} \cdot k_{71}\right)\right) / \left(1 + x_{12} / k_{70} + k_{93} \cdot k_{72} / \left(k_{70} \cdot k_{69}\right) + x_{19} \cdot k_{73} / \left(k_{74} \cdot k_{75}\right) + x_{14} / k_{74} + k_{93} \cdot x_{12} / \left(k_{70} \cdot k_{69}\right) + x_{12} \cdot x_{19} \cdot k_{73} / \left(k_{70} \cdot k_{74} \cdot k_{75}\right) + k_{93} \cdot x_{14} \cdot k_{72} / \left(k_{70} \cdot k_{74} \cdot k_{69}\right) + x_{19} \cdot x_{14} / \left(k_{75} \cdot k_{74}\right) + k_{93} \cdot x_{12} \cdot x_{19} / \left(k_{70} \cdot k_{76} \cdot k_{69}\right) + k_{93} \cdot x_{19} \cdot x_{14} / \left(k_{77} \cdot k_{74} \cdot k_{75}\right)\right) + -1 \cdot k_{1} \cdot k_{81} \cdot \left(x_{10} / k_{82} \cdot x_{14} / k_{83} - k_{94} / k_{82} \cdot x_{12} / k_{83} \cdot 1 / k_{84}\right) / \left(\left(1 + x_{10} / k_{82} + k_{94} / k_{85}\right) \cdot \left(1 + x_{14} / k_{83} + x_{12} / k_{86}\right)\right) + 3 \cdot k_{1} \cdot k_{89} \cdot x_{19}\right) / k_{1}\\
\frac{dx_{15}}{dt} = \left(1 \cdot k_{1} \cdot k_{45} \cdot \left(k_{46} \cdot x_{13} \cdot x_{5} - x_{15} \cdot x_{3}\right) / \left(k_{47} \cdot k_{48}\right) / \left(\left(1 + x_{13} / k_{49} + x_{15} / k_{47}\right) \cdot \left(1 + x_{5} / k_{50} + x_{3} / k_{48}\right)\right) + -1 \cdot k_{1} \cdot k_{51} \cdot \left(x_{15} / k_{52} - x_{16} / \left(k_{52} \cdot k_{53}\right)\right) / \left(1 + x_{15} / k_{52} + x_{16} / k_{54}\right)\right) / k_{1}\\
\frac{dx_{16}}{dt} = \left(1 \cdot k_{1} \cdot k_{51} \cdot \left(x_{15} / k_{52} - x_{16} / \left(k_{52} \cdot k_{53}\right)\right) / \left(1 + x_{15} / k_{52} + x_{16} / k_{54}\right) + -1 \cdot k_{1} \cdot k_{55} \cdot \left(x_{16} / k_{56} - x_{17} / \left(k_{56} \cdot k_{57}\right)\right) / \left(1 + x_{16} / k_{56} + x_{17} / k_{58}\right)\right) / k_{1}\\
\frac{dx_{17}}{dt} = \left(1 \cdot k_{1} \cdot k_{55} \cdot \left(x_{16} / k_{56} - x_{17} / \left(k_{56} \cdot k_{57}\right)\right) / \left(1 + x_{16} / k_{56} + x_{17} / k_{58}\right) + -1 \cdot k_{1} \cdot k_{59} \cdot \left(x_{17} \cdot x_{5} / \left(k_{60} \cdot k_{61}\right) - x_{18} \cdot x_{3} / \left(k_{60} \cdot k_{61} \cdot k_{62}\right)\right) / \left(\left(1 + x_{17} / k_{60} + x_{18} / k_{63}\right) \cdot \left(1 + x_{5} / k_{61} + x_{3} / k_{64}\right)\right)\right) / k_{1}\\
\frac{dx_{18}}{dt} = \left(1 \cdot k_{1} \cdot k_{59} \cdot \left(x_{17} \cdot x_{5} / \left(k_{60} \cdot k_{61}\right) - x_{18} \cdot x_{3} / \left(k_{60} \cdot k_{61} \cdot k_{62}\right)\right) / \left(\left(1 + x_{17} / k_{60} + x_{18} / k_{63}\right) \cdot \left(1 + x_{5} / k_{61} + x_{3} / k_{64}\right)\right) + -1 \cdot k_{1} \cdot k_{65} \cdot x_{18} / k_{66}^{k_{67}} / \left(1 + x_{18} / k_{66}^{k_{67}}\right)\right) / k_{1}\\
\frac{dx_{19}}{dt} = \left(1 \cdot k_{1} \cdot k_{65} \cdot x_{18} / k_{66}^{k_{67}} / \left(1 + x_{18} / k_{66}^{k_{67}}\right) + 1 \cdot k_{1} \cdot k_{68} \cdot \left(k_{93} \cdot x_{12} / \left(k_{69} \cdot k_{70}\right) - x_{19} \cdot x_{14} / \left(k_{69} \cdot k_{70} \cdot k_{71}\right)\right) / \left(1 + x_{12} / k_{70} + k_{93} \cdot k_{72} / \left(k_{70} \cdot k_{69}\right) + x_{19} \cdot k_{73} / \left(k_{74} \cdot k_{75}\right) + x_{14} / k_{74} + k_{93} \cdot x_{12} / \left(k_{70} \cdot k_{69}\right) + x_{12} \cdot x_{19} \cdot k_{73} / \left(k_{70} \cdot k_{74} \cdot k_{75}\right) + k_{93} \cdot x_{14} \cdot k_{72} / \left(k_{70} \cdot k_{74} \cdot k_{69}\right) + x_{19} \cdot x_{14} / \left(k_{75} \cdot k_{74}\right) + k_{93} \cdot x_{12} \cdot x_{19} / \left(k_{70} \cdot k_{76} \cdot k_{69}\right) + k_{93} \cdot x_{19} \cdot x_{14} / \left(k_{77} \cdot k_{74} \cdot k_{75}\right)\right) + -2 \cdot k_{1} \cdot k_{89} \cdot x_{19}\right) / k_{1}\\
\frac{dx_{20}}{dt} = 0\\
\frac{dx_{21}}{dt} = 0\\
\frac{dx_{22}}{dt} = 0\\
\frac{dx_{23}}{dt} = 0\\
\frac{dx_{24}}{dt} = 0\\
\frac{dx_{25}}{dt} = 0