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