\frac{dx_{1}}{dt} = \left(1 \cdot k_{27} \cdot x_{8} \cdot \left(1 - x_{1} / \left(k_{28} \cdot x_{8}\right)\right) / \left(k_{29} \cdot \left(1 + x_{8} / k_{29} + x_{1} / k_{30}\right)\right) + -1 \cdot k_{45} \cdot x_{1} \cdot \left(1 - x_{27} / \left(k_{46} \cdot x_{1}\right)\right) / \left(k_{47} \cdot \left(1 + x_{1} / k_{47} + x_{27} / k_{48}\right)\right)\right) / k_{1}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{68} \cdot x_{25} / \left(k_{69} \cdot \left(1 + x_{25} / k_{69}\right)\right) + -1 \cdot \left(x_{26} \cdot k_{93} \cdot x_{2} - x_{25} \cdot k_{93} \cdot x_{4}\right)\right) / k_{1}\\
\frac{dx_{3}}{dt} = \left(-1 \cdot k_{17} \cdot k_{18} \cdot x_{9} \cdot x_{3} \cdot \left(1 - x_{21} \cdot x_{5} / \left(k_{21} \cdot x_{9} \cdot x_{3}\right)\right) / \left(k_{19} \cdot k_{20} \cdot \left(x_{21} + k_{18}\right) \cdot \left(k_{22} / k_{20} + x_{9} / k_{19} + x_{3} / k_{20} + x_{5} / k_{23} + x_{21} \cdot x_{5} / \left(k_{23} \cdot k_{24}\right) + x_{9} \cdot x_{3} / \left(k_{19} \cdot k_{20}\right)\right)\right) + -1 \cdot k_{49} \cdot x_{17} \cdot x_{3} \cdot \left(1 - x_{6} \cdot x_{5} / \left(k_{50} \cdot x_{17} \cdot x_{3}\right)\right) / \left(k_{51} \cdot k_{52} \cdot \left(1 + x_{17} / k_{51} + x_{6} / k_{53}\right) \cdot \left(1 + x_{3} / k_{52} + x_{5} / k_{54}\right)\right) + 1 \cdot k_{56} \cdot x_{14} \cdot x_{5} \cdot \left(1 - x_{29} \cdot x_{3} / \left(k_{57} \cdot x_{14} \cdot x_{5}\right)\right) / \left(k_{58} \cdot k_{59} \cdot \left(1 + x_{14} / k_{58} + x_{29} / k_{60}\right) \cdot \left(1 + x_{5} / k_{59} + x_{3} / k_{61}\right)\right) + 1 \cdot k_{71} \cdot x_{26} \cdot x_{5} \cdot \left(1 - k_{96} \cdot x_{3} / \left(k_{72} \cdot x_{26} \cdot x_{5}\right)\right) / \left(k_{73} \cdot k_{74} \cdot \left(1 + x_{26} / k_{73} + k_{96} / k_{75}\right) \cdot \left(1 + x_{5} / k_{74} + x_{3} / k_{76}\right)\right) + 1 \cdot \left(k_{91} \cdot x_{5}^{2} - x_{28} \cdot x_{3} \cdot k_{92}\right)\right) / k_{2}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot k_{4} \cdot x_{4} \cdot \left(1 - x_{22} / \left(k_{5} \cdot x_{4}\right)\right) / \left(k_{6} \cdot \left(1 + x_{4} / k_{6} + x_{22} / k_{7}\right)\right) + 1 \cdot k_{36} \cdot x_{21} \cdot \left(1 - x_{22} \cdot x_{4} / \left(x_{21} \cdot k_{41}\right)\right) / \left(k_{37} \cdot \left(1 + x_{3} / k_{38} + x_{5} / k_{39} + x_{28} / k_{40}\right) \cdot \left(1 + x_{22} / k_{42} + x_{4} / k_{43} + x_{21} / \left(k_{37} \cdot \left(1 + x_{3} / k_{38} + x_{5} / k_{39} + x_{28} / k_{40}\right)\right) + x_{22} \cdot x_{4} / \left(k_{42} \cdot k_{43}\right) + x_{21} \cdot x_{22} / \left(k_{37} \cdot k_{44} \cdot \left(1 + x_{3} / k_{38} + x_{5} / k_{39} + x_{28} / k_{40}\right)\right)\right)\right) + -1 \cdot k_{62} \cdot x_{4} \cdot x_{31} \cdot \left(1 - x_{26} \cdot x_{20} / \left(k_{63} \cdot x_{4} \cdot x_{31}\right)\right) / \left(k_{64} \cdot k_{65} \cdot \left(1 + x_{4} / k_{64} + x_{26} / k_{66}\right) \cdot \left(1 + x_{31} / k_{65} + x_{20} / k_{67}\right)\right) + 1 \cdot \left(x_{26} \cdot k_{93} \cdot x_{2} - x_{25} \cdot k_{93} \cdot x_{4}\right)\right) / k_{2}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{17} \cdot k_{18} \cdot x_{9} \cdot x_{3} \cdot \left(1 - x_{21} \cdot x_{5} / \left(k_{21} \cdot x_{9} \cdot x_{3}\right)\right) / \left(k_{19} \cdot k_{20} \cdot \left(x_{21} + k_{18}\right) \cdot \left(k_{22} / k_{20} + x_{9} / k_{19} + x_{3} / k_{20} + x_{5} / k_{23} + x_{21} \cdot x_{5} / \left(k_{23} \cdot k_{24}\right) + x_{9} \cdot x_{3} / \left(k_{19} \cdot k_{20}\right)\right)\right) + 1 \cdot k_{49} \cdot x_{17} \cdot x_{3} \cdot \left(1 - x_{6} \cdot x_{5} / \left(k_{50} \cdot x_{17} \cdot x_{3}\right)\right) / \left(k_{51} \cdot k_{52} \cdot \left(1 + x_{17} / k_{51} + x_{6} / k_{53}\right) \cdot \left(1 + x_{3} / k_{52} + x_{5} / k_{54}\right)\right) + -1 \cdot k_{56} \cdot x_{14} \cdot x_{5} \cdot \left(1 - x_{29} \cdot x_{3} / \left(k_{57} \cdot x_{14} \cdot x_{5}\right)\right) / \left(k_{58} \cdot k_{59} \cdot \left(1 + x_{14} / k_{58} + x_{29} / k_{60}\right) \cdot \left(1 + x_{5} / k_{59} + x_{3} / k_{61}\right)\right) + -1 \cdot k_{71} \cdot x_{26} \cdot x_{5} \cdot \left(1 - k_{96} \cdot x_{3} / \left(k_{72} \cdot x_{26} \cdot x_{5}\right)\right) / \left(k_{73} \cdot k_{74} \cdot \left(1 + x_{26} / k_{73} + k_{96} / k_{75}\right) \cdot \left(1 + x_{5} / k_{74} + x_{3} / k_{76}\right)\right) + -2 \cdot \left(k_{91} \cdot x_{5}^{2} - x_{28} \cdot x_{3} \cdot k_{92}\right)\right) / k_{2}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{49} \cdot x_{17} \cdot x_{3} \cdot \left(1 - x_{6} \cdot x_{5} / \left(k_{50} \cdot x_{17} \cdot x_{3}\right)\right) / \left(k_{51} \cdot k_{52} \cdot \left(1 + x_{17} / k_{51} + x_{6} / k_{53}\right) \cdot \left(1 + x_{3} / k_{52} + x_{5} / k_{54}\right)\right) + -1 \cdot k_{79} \cdot x_{6} \cdot \left(1 - x_{9} / \left(k_{81} \cdot x_{6}\right)\right) / \left(k_{80} \cdot \left(1 + x_{6} / k_{80} + x_{9} / k_{82} + k_{83} / k_{84}\right)\right)\right) / k_{2}\\
\frac{dx_{7}}{dt} = \left(-1 \cdot k_{8} \cdot x_{7} \cdot \left(1 - x_{18} \cdot x_{13} / \left(k_{14} \cdot x_{27} \cdot x_{7}\right)\right) \cdot x_{27} / \left(k_{9} \cdot \left(1 + x_{7} / k_{11} + x_{13} / k_{10}\right)\right)^{k_{12}} / \left(k_{13} \cdot \left(1 + x_{27} / \left(k_{9} \cdot \left(1 + x_{7} / k_{11} + x_{13} / k_{10}\right)\right)^{k_{12}} + x_{18} / k_{15}\right) \cdot \left(1 + x_{7} / k_{13} + x_{13} / k_{16}\right)\right) + 1 \cdot k_{70} \cdot x_{13} / x_{7} + -2 \cdot \left(k_{77} \cdot x_{7}^{2} - x_{30} \cdot x_{13} \cdot k_{78}\right)\right) / k_{1}\\
\frac{dx_{8}}{dt} = \left(-1 \cdot k_{27} \cdot x_{8} \cdot \left(1 - x_{1} / \left(k_{28} \cdot x_{8}\right)\right) / \left(k_{29} \cdot \left(1 + x_{8} / k_{29} + x_{1} / k_{30}\right)\right) + 1 \cdot \left(k_{55} \cdot x_{29} - k_{55} \cdot x_{8}\right)\right) / k_{1}\\
\frac{dx_{9}}{dt} = \left(-1 \cdot k_{17} \cdot k_{18} \cdot x_{9} \cdot x_{3} \cdot \left(1 - x_{21} \cdot x_{5} / \left(k_{21} \cdot x_{9} \cdot x_{3}\right)\right) / \left(k_{19} \cdot k_{20} \cdot \left(x_{21} + k_{18}\right) \cdot \left(k_{22} / k_{20} + x_{9} / k_{19} + x_{3} / k_{20} + x_{5} / k_{23} + x_{21} \cdot x_{5} / \left(k_{23} \cdot k_{24}\right) + x_{9} \cdot x_{3} / \left(k_{19} \cdot k_{20}\right)\right)\right) + 1 \cdot k_{79} \cdot x_{6} \cdot \left(1 - x_{9} / \left(k_{81} \cdot x_{6}\right)\right) / \left(k_{80} \cdot \left(1 + x_{6} / k_{80} + x_{9} / k_{82} + k_{83} / k_{84}\right)\right)\right) / k_{2}\\
\frac{dx_{10}}{dt} = 0\\
\frac{dx_{11}}{dt} = 0\\
\frac{dx_{12}}{dt} = 0\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{8} \cdot x_{7} \cdot \left(1 - x_{18} \cdot x_{13} / \left(k_{14} \cdot x_{27} \cdot x_{7}\right)\right) \cdot x_{27} / \left(k_{9} \cdot \left(1 + x_{7} / k_{11} + x_{13} / k_{10}\right)\right)^{k_{12}} / \left(k_{13} \cdot \left(1 + x_{27} / \left(k_{9} \cdot \left(1 + x_{7} / k_{11} + x_{13} / k_{10}\right)\right)^{k_{12}} + x_{18} / k_{15}\right) \cdot \left(1 + x_{7} / k_{13} + x_{13} / k_{16}\right)\right) + -1 \cdot k_{70} \cdot x_{13} / x_{7} + 1 \cdot \left(k_{77} \cdot x_{7}^{2} - x_{30} \cdot x_{13} \cdot k_{78}\right)\right) / k_{1}\\
\frac{dx_{14}}{dt} = \left(-1 \cdot k_{56} \cdot x_{14} \cdot x_{5} \cdot \left(1 - x_{29} \cdot x_{3} / \left(k_{57} \cdot x_{14} \cdot x_{5}\right)\right) / \left(k_{58} \cdot k_{59} \cdot \left(1 + x_{14} / k_{58} + x_{29} / k_{60}\right) \cdot \left(1 + x_{5} / k_{59} + x_{3} / k_{61}\right)\right) + 1 \cdot k_{85} \cdot x_{22} \cdot x_{20} \cdot \left(1 - x_{14} \cdot x_{31} / \left(k_{86} \cdot x_{22} \cdot x_{20}\right)\right) / \left(k_{87} \cdot k_{88} \cdot \left(1 + x_{22} / k_{87} + x_{14} / k_{89}\right) \cdot \left(1 + x_{20} / k_{88} + x_{31} / k_{90}\right)\right)\right) / k_{2}\\
\frac{dx_{15}}{dt} = \left(-1 \cdot \left(k_{25} \cdot x_{15} - k_{26} \cdot x_{17}\right) + 1 \cdot k_{33} \cdot \left(k_{97} - x_{15}\right) / \left(k_{34} + k_{97} + x_{15} + k_{35} \cdot k_{97} \cdot x_{15} / k_{34}\right)\right) / k_{1}\\
\frac{dx_{16}}{dt} = 0\\
\frac{dx_{17}}{dt} = \left(1 \cdot \left(k_{25} \cdot x_{15} - k_{26} \cdot x_{17}\right) + -1 \cdot k_{49} \cdot x_{17} \cdot x_{3} \cdot \left(1 - x_{6} \cdot x_{5} / \left(k_{50} \cdot x_{17} \cdot x_{3}\right)\right) / \left(k_{51} \cdot k_{52} \cdot \left(1 + x_{17} / k_{51} + x_{6} / k_{53}\right) \cdot \left(1 + x_{3} / k_{52} + x_{5} / k_{54}\right)\right)\right) / k_{2}\\
\frac{dx_{18}}{dt} = \left(1 \cdot k_{8} \cdot x_{7} \cdot \left(1 - x_{18} \cdot x_{13} / \left(k_{14} \cdot x_{27} \cdot x_{7}\right)\right) \cdot x_{27} / \left(k_{9} \cdot \left(1 + x_{7} / k_{11} + x_{13} / k_{10}\right)\right)^{k_{12}} / \left(k_{13} \cdot \left(1 + x_{27} / \left(k_{9} \cdot \left(1 + x_{7} / k_{11} + x_{13} / k_{10}\right)\right)^{k_{12}} + x_{18} / k_{15}\right) \cdot \left(1 + x_{7} / k_{13} + x_{13} / k_{16}\right)\right) + -1 \cdot k_{31} \cdot x_{18} / \left(k_{32} \cdot \left(1 + x_{18} / k_{32}\right)\right)\right) / k_{1}\\
\frac{dx_{19}}{dt} = 0\\
\frac{dx_{20}}{dt} = \left(1 \cdot k_{62} \cdot x_{4} \cdot x_{31} \cdot \left(1 - x_{26} \cdot x_{20} / \left(k_{63} \cdot x_{4} \cdot x_{31}\right)\right) / \left(k_{64} \cdot k_{65} \cdot \left(1 + x_{4} / k_{64} + x_{26} / k_{66}\right) \cdot \left(1 + x_{31} / k_{65} + x_{20} / k_{67}\right)\right) + -1 \cdot k_{85} \cdot x_{22} \cdot x_{20} \cdot \left(1 - x_{14} \cdot x_{31} / \left(k_{86} \cdot x_{22} \cdot x_{20}\right)\right) / \left(k_{87} \cdot k_{88} \cdot \left(1 + x_{22} / k_{87} + x_{14} / k_{89}\right) \cdot \left(1 + x_{20} / k_{88} + x_{31} / k_{90}\right)\right)\right) / k_{2}\\
\frac{dx_{21}}{dt} = \left(1 \cdot k_{17} \cdot k_{18} \cdot x_{9} \cdot x_{3} \cdot \left(1 - x_{21} \cdot x_{5} / \left(k_{21} \cdot x_{9} \cdot x_{3}\right)\right) / \left(k_{19} \cdot k_{20} \cdot \left(x_{21} + k_{18}\right) \cdot \left(k_{22} / k_{20} + x_{9} / k_{19} + x_{3} / k_{20} + x_{5} / k_{23} + x_{21} \cdot x_{5} / \left(k_{23} \cdot k_{24}\right) + x_{9} \cdot x_{3} / \left(k_{19} \cdot k_{20}\right)\right)\right) + -1 \cdot k_{36} \cdot x_{21} \cdot \left(1 - x_{22} \cdot x_{4} / \left(x_{21} \cdot k_{41}\right)\right) / \left(k_{37} \cdot \left(1 + x_{3} / k_{38} + x_{5} / k_{39} + x_{28} / k_{40}\right) \cdot \left(1 + x_{22} / k_{42} + x_{4} / k_{43} + x_{21} / \left(k_{37} \cdot \left(1 + x_{3} / k_{38} + x_{5} / k_{39} + x_{28} / k_{40}\right)\right) + x_{22} \cdot x_{4} / \left(k_{42} \cdot k_{43}\right) + x_{21} \cdot x_{22} / \left(k_{37} \cdot k_{44} \cdot \left(1 + x_{3} / k_{38} + x_{5} / k_{39} + x_{28} / k_{40}\right)\right)\right)\right)\right) / k_{2}\\
\frac{dx_{22}}{dt} = \left(1 \cdot k_{4} \cdot x_{4} \cdot \left(1 - x_{22} / \left(k_{5} \cdot x_{4}\right)\right) / \left(k_{6} \cdot \left(1 + x_{4} / k_{6} + x_{22} / k_{7}\right)\right) + 1 \cdot k_{36} \cdot x_{21} \cdot \left(1 - x_{22} \cdot x_{4} / \left(x_{21} \cdot k_{41}\right)\right) / \left(k_{37} \cdot \left(1 + x_{3} / k_{38} + x_{5} / k_{39} + x_{28} / k_{40}\right) \cdot \left(1 + x_{22} / k_{42} + x_{4} / k_{43} + x_{21} / \left(k_{37} \cdot \left(1 + x_{3} / k_{38} + x_{5} / k_{39} + x_{28} / k_{40}\right)\right) + x_{22} \cdot x_{4} / \left(k_{42} \cdot k_{43}\right) + x_{21} \cdot x_{22} / \left(k_{37} \cdot k_{44} \cdot \left(1 + x_{3} / k_{38} + x_{5} / k_{39} + x_{28} / k_{40}\right)\right)\right)\right) + -1 \cdot k_{85} \cdot x_{22} \cdot x_{20} \cdot \left(1 - x_{14} \cdot x_{31} / \left(k_{86} \cdot x_{22} \cdot x_{20}\right)\right) / \left(k_{87} \cdot k_{88} \cdot \left(1 + x_{22} / k_{87} + x_{14} / k_{89}\right) \cdot \left(1 + x_{20} / k_{88} + x_{31} / k_{90}\right)\right)\right) / k_{2}\\
\frac{dx_{23}}{dt} = 0\\
\frac{dx_{24}}{dt} = 0\\
\frac{dx_{25}}{dt} = \left(-1 \cdot k_{68} \cdot x_{25} / \left(k_{69} \cdot \left(1 + x_{25} / k_{69}\right)\right) + 1 \cdot \left(x_{26} \cdot k_{93} \cdot x_{2} - x_{25} \cdot k_{93} \cdot x_{4}\right)\right) / k_{1}\\
\frac{dx_{26}}{dt} = \left(1 \cdot k_{62} \cdot x_{4} \cdot x_{31} \cdot \left(1 - x_{26} \cdot x_{20} / \left(k_{63} \cdot x_{4} \cdot x_{31}\right)\right) / \left(k_{64} \cdot k_{65} \cdot \left(1 + x_{4} / k_{64} + x_{26} / k_{66}\right) \cdot \left(1 + x_{31} / k_{65} + x_{20} / k_{67}\right)\right) + -1 \cdot k_{71} \cdot x_{26} \cdot x_{5} \cdot \left(1 - k_{96} \cdot x_{3} / \left(k_{72} \cdot x_{26} \cdot x_{5}\right)\right) / \left(k_{73} \cdot k_{74} \cdot \left(1 + x_{26} / k_{73} + k_{96} / k_{75}\right) \cdot \left(1 + x_{5} / k_{74} + x_{3} / k_{76}\right)\right) + -1 \cdot \left(x_{26} \cdot k_{93} \cdot x_{2} - x_{25} \cdot k_{93} \cdot x_{4}\right)\right) / k_{2}\\
\frac{dx_{27}}{dt} = \left(-1 \cdot k_{8} \cdot x_{7} \cdot \left(1 - x_{18} \cdot x_{13} / \left(k_{14} \cdot x_{27} \cdot x_{7}\right)\right) \cdot x_{27} / \left(k_{9} \cdot \left(1 + x_{7} / k_{11} + x_{13} / k_{10}\right)\right)^{k_{12}} / \left(k_{13} \cdot \left(1 + x_{27} / \left(k_{9} \cdot \left(1 + x_{7} / k_{11} + x_{13} / k_{10}\right)\right)^{k_{12}} + x_{18} / k_{15}\right) \cdot \left(1 + x_{7} / k_{13} + x_{13} / k_{16}\right)\right) + 1 \cdot k_{45} \cdot x_{1} \cdot \left(1 - x_{27} / \left(k_{46} \cdot x_{1}\right)\right) / \left(k_{47} \cdot \left(1 + x_{1} / k_{47} + x_{27} / k_{48}\right)\right)\right) / k_{1}\\
\frac{dx_{28}}{dt} = 1 \cdot \left(k_{91} \cdot x_{5}^{2} - x_{28} \cdot x_{3} \cdot k_{92}\right) / k_{2}\\
\frac{dx_{29}}{dt} = \left(-1 \cdot \left(k_{55} \cdot x_{29} - k_{55} \cdot x_{8}\right) + 1 \cdot k_{56} \cdot x_{14} \cdot x_{5} \cdot \left(1 - x_{29} \cdot x_{3} / \left(k_{57} \cdot x_{14} \cdot x_{5}\right)\right) / \left(k_{58} \cdot k_{59} \cdot \left(1 + x_{14} / k_{58} + x_{29} / k_{60}\right) \cdot \left(1 + x_{5} / k_{59} + x_{3} / k_{61}\right)\right)\right) / k_{2}\\
\frac{dx_{30}}{dt} = 1 \cdot \left(k_{77} \cdot x_{7}^{2} - x_{30} \cdot x_{13} \cdot k_{78}\right) / k_{1}\\
\frac{dx_{31}}{dt} = \left(-1 \cdot k_{62} \cdot x_{4} \cdot x_{31} \cdot \left(1 - x_{26} \cdot x_{20} / \left(k_{63} \cdot x_{4} \cdot x_{31}\right)\right) / \left(k_{64} \cdot k_{65} \cdot \left(1 + x_{4} / k_{64} + x_{26} / k_{66}\right) \cdot \left(1 + x_{31} / k_{65} + x_{20} / k_{67}\right)\right) + 1 \cdot k_{85} \cdot x_{22} \cdot x_{20} \cdot \left(1 - x_{14} \cdot x_{31} / \left(k_{86} \cdot x_{22} \cdot x_{20}\right)\right) / \left(k_{87} \cdot k_{88} \cdot \left(1 + x_{22} / k_{87} + x_{14} / k_{89}\right) \cdot \left(1 + x_{20} / k_{88} + x_{31} / k_{90}\right)\right)\right) / k_{2}