\frac{dx_{1}}{dt} = \left(1 \cdot x_{4} / \left(x_{4} + k_{4}\right) \cdot k_{5} / \left(x_{6} + k_{5}\right) \cdot k_{3} \cdot x_{23} / k_{7} \cdot x_{9} / k_{8} / \left(\left(1 + x_{23} / k_{7}\right) \cdot \left(1 + x_{9} / k_{8}\right) + \left(1 + x_{1} / k_{6}\right) \cdot \left(1 + x_{12} / k_{9}\right) - 1\right) + -1 \cdot k_{1} \cdot \left(k_{20} \cdot x_{1} / k_{22} - k_{20} / k_{19} \cdot x_{5} / k_{22}\right) / \left(1 + x_{1} / k_{22} + x_{5} / k_{21}\right)\right) / k_{1}\\
\frac{dx_{2}}{dt} = \left(-1 \cdot k_{1} \cdot k_{10} \cdot x_{2} / k_{11}^{k_{12}} / \left(x_{2} / k_{11}^{k_{12}} + 1\right) + -1 \cdot k_{14} / \left(x_{4} + k_{14}\right) \cdot k_{13} \cdot x_{2} / k_{16} \cdot x_{18} / k_{17} / \left(\left(1 + x_{18} / k_{17}\right) \cdot \left(1 + x_{2} / k_{16}\right) + \left(1 + x_{4} / k_{18} + x_{4} / k_{18}^{2}\right) \cdot \left(1 + x_{3} / k_{15}\right) - 1\right) + -1 \cdot k_{1} \cdot k_{23} \cdot x_{5} / k_{26} \cdot x_{2} / k_{25} / \left(\left(1 + x_{5} / k_{26}\right) \cdot \left(1 + x_{2} / k_{25}\right) + \left(1 + x_{6} / k_{27}\right) \cdot \left(1 + x_{3} / k_{24}\right) - 1\right) + 1 \cdot k_{1} \cdot \left(k_{40} \cdot x_{8} / k_{43} \cdot x_{3} / k_{41} - k_{40} / k_{39} \cdot x_{9} / k_{43} \cdot x_{2} / k_{41}\right) / \left(\left(1 + x_{8} / k_{43}\right) \cdot \left(1 + x_{3} / k_{41}\right) + \left(1 + x_{9} / k_{44}\right) \cdot \left(1 + x_{2} / k_{42}\right) - 1\right) + 1 \cdot k_{1} \cdot x_{6} / \left(x_{6} + k_{46}\right) \cdot k_{47}^{k_{52}} / \left(x_{4}^{k_{52}} + k_{47}^{k_{52}}\right) \cdot k_{45} \cdot x_{3} / k_{48} \cdot x_{9} / k_{50} / \left(\left(1 + x_{3} / k_{48}\right) \cdot \left(1 + x_{9} / k_{50}\right) + \left(1 + x_{2} / k_{49}\right) \cdot \left(1 + x_{12} / k_{51}\right) - 1\right) + 1 \cdot k_{74} \cdot x_{13} / k_{77} \cdot x_{3} / k_{75} / \left(\left(1 + x_{13} / k_{77}\right) \cdot \left(1 + x_{3} / k_{75}\right) + \left(1 + x_{21} / k_{78}\right) \cdot \left(1 + x_{2} / k_{76}\right) \cdot \left(1 + x_{17} / k_{79}\right) - 1\right)\right) / k_{1}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{1} \cdot k_{10} \cdot x_{2} / k_{11}^{k_{12}} / \left(x_{2} / k_{11}^{k_{12}} + 1\right) + 1 \cdot k_{14} / \left(x_{4} + k_{14}\right) \cdot k_{13} \cdot x_{2} / k_{16} \cdot x_{18} / k_{17} / \left(\left(1 + x_{18} / k_{17}\right) \cdot \left(1 + x_{2} / k_{16}\right) + \left(1 + x_{4} / k_{18} + x_{4} / k_{18}^{2}\right) \cdot \left(1 + x_{3} / k_{15}\right) - 1\right) + 1 \cdot k_{1} \cdot k_{23} \cdot x_{5} / k_{26} \cdot x_{2} / k_{25} / \left(\left(1 + x_{5} / k_{26}\right) \cdot \left(1 + x_{2} / k_{25}\right) + \left(1 + x_{6} / k_{27}\right) \cdot \left(1 + x_{3} / k_{24}\right) - 1\right) + -1 \cdot k_{1} \cdot \left(k_{40} \cdot x_{8} / k_{43} \cdot x_{3} / k_{41} - k_{40} / k_{39} \cdot x_{9} / k_{43} \cdot x_{2} / k_{41}\right) / \left(\left(1 + x_{8} / k_{43}\right) \cdot \left(1 + x_{3} / k_{41}\right) + \left(1 + x_{9} / k_{44}\right) \cdot \left(1 + x_{2} / k_{42}\right) - 1\right) + -1 \cdot k_{1} \cdot x_{6} / \left(x_{6} + k_{46}\right) \cdot k_{47}^{k_{52}} / \left(x_{4}^{k_{52}} + k_{47}^{k_{52}}\right) \cdot k_{45} \cdot x_{3} / k_{48} \cdot x_{9} / k_{50} / \left(\left(1 + x_{3} / k_{48}\right) \cdot \left(1 + x_{9} / k_{50}\right) + \left(1 + x_{2} / k_{49}\right) \cdot \left(1 + x_{12} / k_{51}\right) - 1\right) + -1 \cdot k_{74} \cdot x_{13} / k_{77} \cdot x_{3} / k_{75} / \left(\left(1 + x_{13} / k_{77}\right) \cdot \left(1 + x_{3} / k_{75}\right) + \left(1 + x_{21} / k_{78}\right) \cdot \left(1 + x_{2} / k_{76}\right) \cdot \left(1 + x_{17} / k_{79}\right) - 1\right)\right) / k_{1}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{1} \cdot k_{10} \cdot x_{2} / k_{11}^{k_{12}} / \left(x_{2} / k_{11}^{k_{12}} + 1\right) + 2 \cdot k_{14} / \left(x_{4} + k_{14}\right) \cdot k_{13} \cdot x_{2} / k_{16} \cdot x_{18} / k_{17} / \left(\left(1 + x_{18} / k_{17}\right) \cdot \left(1 + x_{2} / k_{16}\right) + \left(1 + x_{4} / k_{18} + x_{4} / k_{18}^{2}\right) \cdot \left(1 + x_{3} / k_{15}\right) - 1\right) + -1 \cdot k_{1} \cdot \left(k_{33} \cdot x_{7} / k_{35} \cdot x_{10} / k_{37} \cdot x_{4} / k_{38} - k_{33} / k_{32} \cdot x_{8} / k_{35} \cdot x_{11} / k_{37} \cdot 1 / k_{38}\right) / \left(\left(1 + x_{7} / k_{35}\right) \cdot \left(1 + x_{4} / k_{38}\right) \cdot \left(1 + x_{10} / k_{37}\right) + \left(1 + x_{8} / k_{34}\right) \cdot \left(1 + x_{11} / k_{36}\right) - 1\right) + 1 \cdot k_{1} \cdot k_{111} \cdot x_{6} / k_{113} / \left(x_{6} / k_{113} + \left(1 + x_{5} / k_{112}\right) \cdot \left(1 + x_{4} / k_{114}\right)\right)\right) / k_{1}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{20} \cdot x_{1} / k_{22} - k_{20} / k_{19} \cdot x_{5} / k_{22}\right) / \left(1 + x_{1} / k_{22} + x_{5} / k_{21}\right) + -1 \cdot k_{1} \cdot k_{23} \cdot x_{5} / k_{26} \cdot x_{2} / k_{25} / \left(\left(1 + x_{5} / k_{26}\right) \cdot \left(1 + x_{2} / k_{25}\right) + \left(1 + x_{6} / k_{27}\right) \cdot \left(1 + x_{3} / k_{24}\right) - 1\right) + -1 \cdot k_{1} \cdot k_{92} / \left(x_{5} + k_{92}\right) \cdot \left(k_{91} \cdot x_{5} / k_{93} \cdot x_{11} / k_{95} - k_{91} / k_{90} \cdot x_{16} / k_{93} \cdot x_{10} / k_{95}\right) / \left(\left(1 + x_{5} / k_{93}\right) \cdot \left(1 + x_{11} / k_{95}\right) + \left(1 + x_{16} / k_{94}\right) \cdot \left(1 + x_{10} / k_{96}\right) - 1\right) + 1 \cdot k_{1} \cdot k_{111} \cdot x_{6} / k_{113} / \left(x_{6} / k_{113} + \left(1 + x_{5} / k_{112}\right) \cdot \left(1 + x_{4} / k_{114}\right)\right)\right) / k_{1}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{1} \cdot k_{23} \cdot x_{5} / k_{26} \cdot x_{2} / k_{25} / \left(\left(1 + x_{5} / k_{26}\right) \cdot \left(1 + x_{2} / k_{25}\right) + \left(1 + x_{6} / k_{27}\right) \cdot \left(1 + x_{3} / k_{24}\right) - 1\right) + -1 \cdot k_{1} \cdot \left(k_{29} \cdot x_{6} / k_{30} - k_{29} / k_{28} \cdot x_{7}^{2} / k_{30}\right) / \left(1 + x_{6} / k_{30} + x_{7} / k_{31} + x_{7} / k_{31}^{2}\right) + -1 \cdot k_{1} \cdot k_{111} \cdot x_{6} / k_{113} / \left(x_{6} / k_{113} + \left(1 + x_{5} / k_{112}\right) \cdot \left(1 + x_{4} / k_{114}\right)\right)\right) / k_{1}\\
\frac{dx_{7}}{dt} = \left(2 \cdot k_{1} \cdot \left(k_{29} \cdot x_{6} / k_{30} - k_{29} / k_{28} \cdot x_{7}^{2} / k_{30}\right) / \left(1 + x_{6} / k_{30} + x_{7} / k_{31} + x_{7} / k_{31}^{2}\right) + -1 \cdot k_{1} \cdot \left(k_{33} \cdot x_{7} / k_{35} \cdot x_{10} / k_{37} \cdot x_{4} / k_{38} - k_{33} / k_{32} \cdot x_{8} / k_{35} \cdot x_{11} / k_{37} \cdot 1 / k_{38}\right) / \left(\left(1 + x_{7} / k_{35}\right) \cdot \left(1 + x_{4} / k_{38}\right) \cdot \left(1 + x_{10} / k_{37}\right) + \left(1 + x_{8} / k_{34}\right) \cdot \left(1 + x_{11} / k_{36}\right) - 1\right)\right) / k_{1}\\
\frac{dx_{8}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{33} \cdot x_{7} / k_{35} \cdot x_{10} / k_{37} \cdot x_{4} / k_{38} - k_{33} / k_{32} \cdot x_{8} / k_{35} \cdot x_{11} / k_{37} \cdot 1 / k_{38}\right) / \left(\left(1 + x_{7} / k_{35}\right) \cdot \left(1 + x_{4} / k_{38}\right) \cdot \left(1 + x_{10} / k_{37}\right) + \left(1 + x_{8} / k_{34}\right) \cdot \left(1 + x_{11} / k_{36}\right) - 1\right) + -1 \cdot k_{1} \cdot \left(k_{40} \cdot x_{8} / k_{43} \cdot x_{3} / k_{41} - k_{40} / k_{39} \cdot x_{9} / k_{43} \cdot x_{2} / k_{41}\right) / \left(\left(1 + x_{8} / k_{43}\right) \cdot \left(1 + x_{3} / k_{41}\right) + \left(1 + x_{9} / k_{44}\right) \cdot \left(1 + x_{2} / k_{42}\right) - 1\right)\right) / k_{1}\\
\frac{dx_{9}}{dt} = \left(-1 \cdot x_{4} / \left(x_{4} + k_{4}\right) \cdot k_{5} / \left(x_{6} + k_{5}\right) \cdot k_{3} \cdot x_{23} / k_{7} \cdot x_{9} / k_{8} / \left(\left(1 + x_{23} / k_{7}\right) \cdot \left(1 + x_{9} / k_{8}\right) + \left(1 + x_{1} / k_{6}\right) \cdot \left(1 + x_{12} / k_{9}\right) - 1\right) + 1 \cdot k_{1} \cdot \left(k_{40} \cdot x_{8} / k_{43} \cdot x_{3} / k_{41} - k_{40} / k_{39} \cdot x_{9} / k_{43} \cdot x_{2} / k_{41}\right) / \left(\left(1 + x_{8} / k_{43}\right) \cdot \left(1 + x_{3} / k_{41}\right) + \left(1 + x_{9} / k_{44}\right) \cdot \left(1 + x_{2} / k_{42}\right) - 1\right) + -1 \cdot k_{1} \cdot x_{6} / \left(x_{6} + k_{46}\right) \cdot k_{47}^{k_{52}} / \left(x_{4}^{k_{52}} + k_{47}^{k_{52}}\right) \cdot k_{45} \cdot x_{3} / k_{48} \cdot x_{9} / k_{50} / \left(\left(1 + x_{3} / k_{48}\right) \cdot \left(1 + x_{9} / k_{50}\right) + \left(1 + x_{2} / k_{49}\right) \cdot \left(1 + x_{12} / k_{51}\right) - 1\right) + -1 \cdot k_{100} \cdot x_{25} / k_{102} \cdot x_{9} / k_{103} / \left(\left(1 + x_{25} / k_{102}\right) \cdot \left(1 + x_{9} / k_{103}\right) + \left(1 + x_{16} / k_{101}\right) \cdot \left(1 + x_{12} / k_{104}\right) - 1\right)\right) / k_{1}\\
\frac{dx_{10}}{dt} = \left(-1 \cdot k_{1} \cdot \left(k_{33} \cdot x_{7} / k_{35} \cdot x_{10} / k_{37} \cdot x_{4} / k_{38} - k_{33} / k_{32} \cdot x_{8} / k_{35} \cdot x_{11} / k_{37} \cdot 1 / k_{38}\right) / \left(\left(1 + x_{7} / k_{35}\right) \cdot \left(1 + x_{4} / k_{38}\right) \cdot \left(1 + x_{10} / k_{37}\right) + \left(1 + x_{8} / k_{34}\right) \cdot \left(1 + x_{11} / k_{36}\right) - 1\right) + 1 \cdot x_{6} / \left(x_{6} + k_{54}\right) \cdot k_{55} / \left(x_{4} + k_{55}\right) \cdot k_{53} \cdot x_{12} / k_{59} \cdot x_{11} / k_{57} / \left(\left(1 + x_{12} / k_{59}\right) \cdot \left(1 + x_{11} / k_{57}\right) + \left(1 + x_{19} / k_{56}\right) \cdot \left(1 + x_{10} / k_{58}\right) - 1\right) + 2 \cdot k_{68} / \left(x_{2} + k_{68}\right) \cdot k_{67} \cdot x_{13} / k_{69} \cdot x_{11} / k_{72}^{2} / \left(\left(1 + x_{11} / k_{72} + x_{11} / k_{72}^{2}\right) \cdot \left(1 + x_{13} / k_{69}\right) + \left(1 + x_{20} / k_{71}\right) \cdot \left(1 + x_{17} / k_{70}\right) \cdot \left(1 + x_{10} / k_{73} + x_{10} / k_{73}^{2}\right) - 1\right) + 1 \cdot \left(k_{85} \cdot x_{14} / k_{86} \cdot x_{11} / k_{88} - k_{85} / k_{84} \cdot x_{22} / k_{86} \cdot x_{10} / k_{88}\right) / \left(\left(1 + x_{14} / k_{86}\right) \cdot \left(1 + x_{11} / k_{88}\right) + \left(1 + x_{22} / k_{87}\right) \cdot \left(1 + x_{10} / k_{89}\right) - 1\right) + 1 \cdot k_{1} \cdot k_{92} / \left(x_{5} + k_{92}\right) \cdot \left(k_{91} \cdot x_{5} / k_{93} \cdot x_{11} / k_{95} - k_{91} / k_{90} \cdot x_{16} / k_{93} \cdot x_{10} / k_{95}\right) / \left(\left(1 + x_{5} / k_{93}\right) \cdot \left(1 + x_{11} / k_{95}\right) + \left(1 + x_{16} / k_{94}\right) \cdot \left(1 + x_{10} / k_{96}\right) - 1\right)\right) / k_{1}\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{33} \cdot x_{7} / k_{35} \cdot x_{10} / k_{37} \cdot x_{4} / k_{38} - k_{33} / k_{32} \cdot x_{8} / k_{35} \cdot x_{11} / k_{37} \cdot 1 / k_{38}\right) / \left(\left(1 + x_{7} / k_{35}\right) \cdot \left(1 + x_{4} / k_{38}\right) \cdot \left(1 + x_{10} / k_{37}\right) + \left(1 + x_{8} / k_{34}\right) \cdot \left(1 + x_{11} / k_{36}\right) - 1\right) + -1 \cdot x_{6} / \left(x_{6} + k_{54}\right) \cdot k_{55} / \left(x_{4} + k_{55}\right) \cdot k_{53} \cdot x_{12} / k_{59} \cdot x_{11} / k_{57} / \left(\left(1 + x_{12} / k_{59}\right) \cdot \left(1 + x_{11} / k_{57}\right) + \left(1 + x_{19} / k_{56}\right) \cdot \left(1 + x_{10} / k_{58}\right) - 1\right) + -2 \cdot k_{68} / \left(x_{2} + k_{68}\right) \cdot k_{67} \cdot x_{13} / k_{69} \cdot x_{11} / k_{72}^{2} / \left(\left(1 + x_{11} / k_{72} + x_{11} / k_{72}^{2}\right) \cdot \left(1 + x_{13} / k_{69}\right) + \left(1 + x_{20} / k_{71}\right) \cdot \left(1 + x_{17} / k_{70}\right) \cdot \left(1 + x_{10} / k_{73} + x_{10} / k_{73}^{2}\right) - 1\right) + -1 \cdot \left(k_{85} \cdot x_{14} / k_{86} \cdot x_{11} / k_{88} - k_{85} / k_{84} \cdot x_{22} / k_{86} \cdot x_{10} / k_{88}\right) / \left(\left(1 + x_{14} / k_{86}\right) \cdot \left(1 + x_{11} / k_{88}\right) + \left(1 + x_{22} / k_{87}\right) \cdot \left(1 + x_{10} / k_{89}\right) - 1\right) + -1 \cdot k_{1} \cdot k_{92} / \left(x_{5} + k_{92}\right) \cdot \left(k_{91} \cdot x_{5} / k_{93} \cdot x_{11} / k_{95} - k_{91} / k_{90} \cdot x_{16} / k_{93} \cdot x_{10} / k_{95}\right) / \left(\left(1 + x_{5} / k_{93}\right) \cdot \left(1 + x_{11} / k_{95}\right) + \left(1 + x_{16} / k_{94}\right) \cdot \left(1 + x_{10} / k_{96}\right) - 1\right)\right) / k_{1}\\
\frac{dx_{12}}{dt} = \left(1 \cdot x_{4} / \left(x_{4} + k_{4}\right) \cdot k_{5} / \left(x_{6} + k_{5}\right) \cdot k_{3} \cdot x_{23} / k_{7} \cdot x_{9} / k_{8} / \left(\left(1 + x_{23} / k_{7}\right) \cdot \left(1 + x_{9} / k_{8}\right) + \left(1 + x_{1} / k_{6}\right) \cdot \left(1 + x_{12} / k_{9}\right) - 1\right) + 1 \cdot k_{1} \cdot x_{6} / \left(x_{6} + k_{46}\right) \cdot k_{47}^{k_{52}} / \left(x_{4}^{k_{52}} + k_{47}^{k_{52}}\right) \cdot k_{45} \cdot x_{3} / k_{48} \cdot x_{9} / k_{50} / \left(\left(1 + x_{3} / k_{48}\right) \cdot \left(1 + x_{9} / k_{50}\right) + \left(1 + x_{2} / k_{49}\right) \cdot \left(1 + x_{12} / k_{51}\right) - 1\right) + -1 \cdot x_{6} / \left(x_{6} + k_{54}\right) \cdot k_{55} / \left(x_{4} + k_{55}\right) \cdot k_{53} \cdot x_{12} / k_{59} \cdot x_{11} / k_{57} / \left(\left(1 + x_{12} / k_{59}\right) \cdot \left(1 + x_{11} / k_{57}\right) + \left(1 + x_{19} / k_{56}\right) \cdot \left(1 + x_{10} / k_{58}\right) - 1\right) + -1 \cdot k_{63} / \left(x_{7} + k_{63}\right) \cdot \left(k_{62} \cdot x_{12} / k_{66} \cdot x_{17} / k_{61} - k_{62} / k_{60} \cdot x_{13} / k_{66} \cdot x_{26} / k_{61}\right) / \left(\left(1 + x_{12} / k_{66}\right) \cdot \left(1 + x_{17} / k_{61}\right) + \left(1 + x_{13} / k_{64}\right) \cdot \left(1 + x_{26} / k_{65}\right) - 1\right) + -2 \cdot k_{1} \cdot \left(k_{81} \cdot x_{12} / k_{83}^{2} - k_{81} / k_{80} \cdot x_{14} / k_{83}\right) / \left(1 + x_{12} / k_{83} + x_{12} / k_{83}^{2} + 1 + x_{14} / k_{82} - 1\right) + 1 \cdot k_{100} \cdot x_{25} / k_{102} \cdot x_{9} / k_{103} / \left(\left(1 + x_{25} / k_{102}\right) \cdot \left(1 + x_{9} / k_{103}\right) + \left(1 + x_{16} / k_{101}\right) \cdot \left(1 + x_{12} / k_{104}\right) - 1\right)\right) / k_{1}\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{63} / \left(x_{7} + k_{63}\right) \cdot \left(k_{62} \cdot x_{12} / k_{66} \cdot x_{17} / k_{61} - k_{62} / k_{60} \cdot x_{13} / k_{66} \cdot x_{26} / k_{61}\right) / \left(\left(1 + x_{12} / k_{66}\right) \cdot \left(1 + x_{17} / k_{61}\right) + \left(1 + x_{13} / k_{64}\right) \cdot \left(1 + x_{26} / k_{65}\right) - 1\right) + -1 \cdot k_{68} / \left(x_{2} + k_{68}\right) \cdot k_{67} \cdot x_{13} / k_{69} \cdot x_{11} / k_{72}^{2} / \left(\left(1 + x_{11} / k_{72} + x_{11} / k_{72}^{2}\right) \cdot \left(1 + x_{13} / k_{69}\right) + \left(1 + x_{20} / k_{71}\right) \cdot \left(1 + x_{17} / k_{70}\right) \cdot \left(1 + x_{10} / k_{73} + x_{10} / k_{73}^{2}\right) - 1\right) + -1 \cdot k_{74} \cdot x_{13} / k_{77} \cdot x_{3} / k_{75} / \left(\left(1 + x_{13} / k_{77}\right) \cdot \left(1 + x_{3} / k_{75}\right) + \left(1 + x_{21} / k_{78}\right) \cdot \left(1 + x_{2} / k_{76}\right) \cdot \left(1 + x_{17} / k_{79}\right) - 1\right)\right) / k_{1}\\
\frac{dx_{14}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{81} \cdot x_{12} / k_{83}^{2} - k_{81} / k_{80} \cdot x_{14} / k_{83}\right) / \left(1 + x_{12} / k_{83} + x_{12} / k_{83}^{2} + 1 + x_{14} / k_{82} - 1\right) + -1 \cdot \left(k_{85} \cdot x_{14} / k_{86} \cdot x_{11} / k_{88} - k_{85} / k_{84} \cdot x_{22} / k_{86} \cdot x_{10} / k_{88}\right) / \left(\left(1 + x_{14} / k_{86}\right) \cdot \left(1 + x_{11} / k_{88}\right) + \left(1 + x_{22} / k_{87}\right) \cdot \left(1 + x_{10} / k_{89}\right) - 1\right) + -1 \cdot k_{105} \cdot x_{14} / k_{106} / \left(1 + x_{14} / k_{106} + x_{24} / k_{107}\right)\right) / k_{1}\\
\frac{dx_{15}}{dt} = \left(1 \cdot k_{1} \cdot k_{97} \cdot x_{16} / k_{98} / \left(1 + x_{16} / k_{98} + 1 + x_{15} / k_{99} - 1\right) + -1 \cdot k_{108} \cdot x_{15} / k_{110} / \left(1 + x_{15} / k_{110} + x_{25} / k_{109}\right)\right) / k_{1}\\
\frac{dx_{16}}{dt} = \left(1 \cdot k_{1} \cdot k_{92} / \left(x_{5} + k_{92}\right) \cdot \left(k_{91} \cdot x_{5} / k_{93} \cdot x_{11} / k_{95} - k_{91} / k_{90} \cdot x_{16} / k_{93} \cdot x_{10} / k_{95}\right) / \left(\left(1 + x_{5} / k_{93}\right) \cdot \left(1 + x_{11} / k_{95}\right) + \left(1 + x_{16} / k_{94}\right) \cdot \left(1 + x_{10} / k_{96}\right) - 1\right) + -1 \cdot k_{1} \cdot k_{97} \cdot x_{16} / k_{98} / \left(1 + x_{16} / k_{98} + 1 + x_{15} / k_{99} - 1\right) + 1 \cdot k_{100} \cdot x_{25} / k_{102} \cdot x_{9} / k_{103} / \left(\left(1 + x_{25} / k_{102}\right) \cdot \left(1 + x_{9} / k_{103}\right) + \left(1 + x_{16} / k_{101}\right) \cdot \left(1 + x_{12} / k_{104}\right) - 1\right)\right) / k_{1}\\
\frac{dx_{17}}{dt} = \left(-1 \cdot k_{63} / \left(x_{7} + k_{63}\right) \cdot \left(k_{62} \cdot x_{12} / k_{66} \cdot x_{17} / k_{61} - k_{62} / k_{60} \cdot x_{13} / k_{66} \cdot x_{26} / k_{61}\right) / \left(\left(1 + x_{12} / k_{66}\right) \cdot \left(1 + x_{17} / k_{61}\right) + \left(1 + x_{13} / k_{64}\right) \cdot \left(1 + x_{26} / k_{65}\right) - 1\right) + 1 \cdot k_{68} / \left(x_{2} + k_{68}\right) \cdot k_{67} \cdot x_{13} / k_{69} \cdot x_{11} / k_{72}^{2} / \left(\left(1 + x_{11} / k_{72} + x_{11} / k_{72}^{2}\right) \cdot \left(1 + x_{13} / k_{69}\right) + \left(1 + x_{20} / k_{71}\right) \cdot \left(1 + x_{17} / k_{70}\right) \cdot \left(1 + x_{10} / k_{73} + x_{10} / k_{73}^{2}\right) - 1\right) + 1 \cdot k_{74} \cdot x_{13} / k_{77} \cdot x_{3} / k_{75} / \left(\left(1 + x_{13} / k_{77}\right) \cdot \left(1 + x_{3} / k_{75}\right) + \left(1 + x_{21} / k_{78}\right) \cdot \left(1 + x_{2} / k_{76}\right) \cdot \left(1 + x_{17} / k_{79}\right) - 1\right)\right) / k_{1}\\
\frac{dx_{18}}{dt} = -1 \cdot k_{14} / \left(x_{4} + k_{14}\right) \cdot k_{13} \cdot x_{2} / k_{16} \cdot x_{18} / k_{17} / \left(\left(1 + x_{18} / k_{17}\right) \cdot \left(1 + x_{2} / k_{16}\right) + \left(1 + x_{4} / k_{18} + x_{4} / k_{18}^{2}\right) \cdot \left(1 + x_{3} / k_{15}\right) - 1\right) / k_{2}\\
\frac{dx_{19}}{dt} = 1 \cdot x_{6} / \left(x_{6} + k_{54}\right) \cdot k_{55} / \left(x_{4} + k_{55}\right) \cdot k_{53} \cdot x_{12} / k_{59} \cdot x_{11} / k_{57} / \left(\left(1 + x_{12} / k_{59}\right) \cdot \left(1 + x_{11} / k_{57}\right) + \left(1 + x_{19} / k_{56}\right) \cdot \left(1 + x_{10} / k_{58}\right) - 1\right) / k_{2}\\
\frac{dx_{20}}{dt} = 1 \cdot k_{68} / \left(x_{2} + k_{68}\right) \cdot k_{67} \cdot x_{13} / k_{69} \cdot x_{11} / k_{72}^{2} / \left(\left(1 + x_{11} / k_{72} + x_{11} / k_{72}^{2}\right) \cdot \left(1 + x_{13} / k_{69}\right) + \left(1 + x_{20} / k_{71}\right) \cdot \left(1 + x_{17} / k_{70}\right) \cdot \left(1 + x_{10} / k_{73} + x_{10} / k_{73}^{2}\right) - 1\right) / k_{2}\\
\frac{dx_{21}}{dt} = 1 \cdot k_{74} \cdot x_{13} / k_{77} \cdot x_{3} / k_{75} / \left(\left(1 + x_{13} / k_{77}\right) \cdot \left(1 + x_{3} / k_{75}\right) + \left(1 + x_{21} / k_{78}\right) \cdot \left(1 + x_{2} / k_{76}\right) \cdot \left(1 + x_{17} / k_{79}\right) - 1\right) / k_{2}\\
\frac{dx_{22}}{dt} = 1 \cdot \left(k_{85} \cdot x_{14} / k_{86} \cdot x_{11} / k_{88} - k_{85} / k_{84} \cdot x_{22} / k_{86} \cdot x_{10} / k_{88}\right) / \left(\left(1 + x_{14} / k_{86}\right) \cdot \left(1 + x_{11} / k_{88}\right) + \left(1 + x_{22} / k_{87}\right) \cdot \left(1 + x_{10} / k_{89}\right) - 1\right) / k_{2}\\
\frac{dx_{23}}{dt} = -1 \cdot x_{4} / \left(x_{4} + k_{4}\right) \cdot k_{5} / \left(x_{6} + k_{5}\right) \cdot k_{3} \cdot x_{23} / k_{7} \cdot x_{9} / k_{8} / \left(\left(1 + x_{23} / k_{7}\right) \cdot \left(1 + x_{9} / k_{8}\right) + \left(1 + x_{1} / k_{6}\right) \cdot \left(1 + x_{12} / k_{9}\right) - 1\right) / k_{2}\\
\frac{dx_{24}}{dt} = 1 \cdot k_{105} \cdot x_{14} / k_{106} / \left(1 + x_{14} / k_{106} + x_{24} / k_{107}\right) / k_{2}\\
\frac{dx_{25}}{dt} = \left(-1 \cdot k_{100} \cdot x_{25} / k_{102} \cdot x_{9} / k_{103} / \left(\left(1 + x_{25} / k_{102}\right) \cdot \left(1 + x_{9} / k_{103}\right) + \left(1 + x_{16} / k_{101}\right) \cdot \left(1 + x_{12} / k_{104}\right) - 1\right) + 1 \cdot k_{108} \cdot x_{15} / k_{110} / \left(1 + x_{15} / k_{110} + x_{25} / k_{109}\right)\right) / k_{2}\\
\frac{dx_{26}}{dt} = 1 \cdot k_{63} / \left(x_{7} + k_{63}\right) \cdot \left(k_{62} \cdot x_{12} / k_{66} \cdot x_{17} / k_{61} - k_{62} / k_{60} \cdot x_{13} / k_{66} \cdot x_{26} / k_{61}\right) / \left(\left(1 + x_{12} / k_{66}\right) \cdot \left(1 + x_{17} / k_{61}\right) + \left(1 + x_{13} / k_{64}\right) \cdot \left(1 + x_{26} / k_{65}\right) - 1\right) / k_{2}