\frac{dx_{1}}{dt} = 0\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{31} \cdot x_{11} \cdot \left(1 - x_{2} / \left(k_{32} \cdot x_{11}\right)\right) / \left(k_{33} \cdot \left(1 + x_{11} / k_{33} + x_{2} / k_{34}\right)\right) + -1 \cdot k_{43} \cdot x_{2} \cdot \left(1 - x_{46} / \left(k_{44} \cdot x_{2}\right)\right) / \left(k_{45} \cdot \left(1 + x_{2} / k_{45} + x_{46} / k_{46}\right)\right)\right) / k_{1}\\
\frac{dx_{3}}{dt} = \left(-1 \cdot k_{66} \cdot x_{3} \cdot x_{6} \cdot \left(1 - x_{12} \cdot x_{8} / \left(k_{67} \cdot x_{3} \cdot x_{6}\right)\right) / \left(k_{68} \cdot k_{69} \cdot \left(1 + x_{3} / k_{68} + x_{12} / k_{70}\right) \cdot \left(1 + x_{6} / k_{69} + x_{8} / k_{71} + x_{29} / k_{72} + x_{9} / k_{73}\right)\right) + 1 \cdot \left(k_{157} \cdot x_{4} - k_{158} \cdot x_{3}\right)\right) / k_{2}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot k_{85} \cdot x_{4} \cdot x_{17} \cdot \left(1 - k_{184} \cdot x_{10} / \left(k_{86} \cdot x_{4} \cdot x_{17}\right)\right) / \left(k_{87} \cdot k_{88} \cdot \left(1 + x_{4} / k_{87} + k_{184} / k_{89}\right) \cdot \left(1 + x_{17} / k_{88} + x_{10} / k_{90} + x_{27} / k_{91} + x_{24} / k_{92}\right)\right) + 1 \cdot k_{104} \cdot \left(k_{183} - x_{4}\right) / \left(k_{105} + k_{183} + x_{4} + k_{106} \cdot k_{183} \cdot x_{4} / k_{105}\right) + -1 \cdot \left(k_{157} \cdot x_{4} - k_{158} \cdot x_{3}\right)\right) / k_{1}\\
\frac{dx_{5}}{dt} = \left(-1 \cdot \left(x_{42} \cdot k_{94} \cdot x_{5} - x_{41} \cdot k_{94} \cdot x_{7}\right) + 1 \cdot k_{181} \cdot x_{41} / \left(k_{182} \cdot \left(1 + x_{41} / k_{182}\right)\right)\right) / k_{1}\\
\frac{dx_{6}}{dt} = \left(-1 \cdot k_{17} \cdot k_{18} \cdot x_{12} \cdot x_{6} \cdot \left(1 - x_{36} \cdot x_{8} / \left(k_{21} \cdot x_{12} \cdot x_{6}\right)\right) / \left(k_{19} \cdot k_{20} \cdot \left(x_{36} + k_{18}\right) \cdot \left(k_{22} / k_{20} + x_{12} / k_{19} + x_{6} / k_{20} + x_{8} / k_{23} + x_{36} \cdot x_{8} / \left(k_{23} \cdot k_{24}\right) + x_{12} \cdot x_{6} / \left(k_{19} \cdot k_{20}\right)\right)\right) + -1 \cdot k_{47} \cdot x_{29} \cdot x_{6} \cdot \left(1 - x_{9} \cdot x_{8} / \left(k_{48} \cdot x_{29} \cdot x_{6}\right)\right) / \left(k_{49} \cdot k_{50} \cdot \left(1 + x_{29} / k_{49} + x_{9} / k_{51}\right) \cdot \left(1 + x_{6} / k_{50} + x_{8} / k_{52} + x_{3} / k_{53} + x_{12} / k_{54}\right)\right) + -1 \cdot k_{66} \cdot x_{3} \cdot x_{6} \cdot \left(1 - x_{12} \cdot x_{8} / \left(k_{67} \cdot x_{3} \cdot x_{6}\right)\right) / \left(k_{68} \cdot k_{69} \cdot \left(1 + x_{3} / k_{68} + x_{12} / k_{70}\right) \cdot \left(1 + x_{6} / k_{69} + x_{8} / k_{71} + x_{29} / k_{72} + x_{9} / k_{73}\right)\right) + 1 \cdot k_{95} \cdot x_{8} \cdot x_{17} \cdot \left(1 - x_{10} \cdot x_{6} / \left(k_{96} \cdot x_{8} \cdot x_{17}\right)\right) / \left(k_{97} \cdot k_{98} \cdot \left(1 + x_{8} / k_{97} + x_{10} / k_{97}\right) \cdot \left(1 + x_{17} / k_{98} + x_{6} / k_{98}\right)\right) + 1 \cdot \left(k_{107} \cdot x_{8}^{2} - x_{47} \cdot x_{6} \cdot k_{108}\right) + 1 \cdot k_{145} \cdot x_{26} \cdot x_{8} \cdot \left(1 - x_{48} \cdot x_{6} / \left(k_{146} \cdot x_{26} \cdot x_{8}\right)\right) / \left(k_{147} \cdot k_{148} \cdot \left(1 + x_{26} / k_{147} + x_{48} / k_{149}\right) \cdot \left(1 + x_{8} / k_{148} + x_{6} / k_{150}\right)\right) + 1 \cdot k_{160} \cdot x_{42} \cdot x_{8} \cdot \left(1 - k_{192} \cdot x_{6} / \left(k_{161} \cdot x_{42} \cdot x_{8}\right)\right) / \left(k_{162} \cdot k_{163} \cdot \left(1 + x_{42} / k_{162} + k_{192} / k_{164}\right) \cdot \left(1 + x_{8} / k_{163} + x_{6} / k_{165}\right)\right)\right) / k_{2}\\
\frac{dx_{7}}{dt} = \left(-1 \cdot k_{4} \cdot x_{7} \cdot \left(1 - x_{37} / \left(k_{5} \cdot x_{7}\right)\right) / \left(k_{6} \cdot \left(1 + x_{7} / k_{6} + x_{37} / k_{7}\right)\right) + 1 \cdot \left(x_{42} \cdot k_{94} \cdot x_{5} - x_{41} \cdot k_{94} \cdot x_{7}\right) + -1 \cdot k_{151} \cdot x_{7} \cdot x_{50} \cdot \left(1 - x_{42} \cdot x_{35} / \left(k_{152} \cdot x_{7} \cdot x_{50}\right)\right) / \left(k_{153} \cdot k_{154} \cdot \left(1 + x_{7} / k_{153} + x_{42} / k_{155}\right) \cdot \left(1 + x_{50} / k_{154} + x_{35} / k_{156}\right)\right) + 1 \cdot k_{166} \cdot x_{36} \cdot \left(1 - x_{37} \cdot x_{7} / \left(x_{36} \cdot k_{171}\right)\right) / \left(k_{167} \cdot \left(1 + x_{6} / k_{168} + x_{8} / k_{169} + x_{47} / k_{170}\right) \cdot \left(1 + x_{37} / k_{172} + x_{7} / k_{173} + x_{36} / \left(k_{167} \cdot \left(1 + x_{6} / k_{168} + x_{8} / k_{169} + x_{47} / k_{170}\right)\right) + x_{37} \cdot x_{7} / \left(k_{172} \cdot k_{173}\right) + x_{36} \cdot x_{37} / \left(k_{167} \cdot k_{174} \cdot \left(1 + x_{6} / k_{168} + x_{8} / k_{169} + x_{47} / k_{170}\right)\right)\right)\right)\right) / k_{2}\\
\frac{dx_{8}}{dt} = \left(1 \cdot k_{17} \cdot k_{18} \cdot x_{12} \cdot x_{6} \cdot \left(1 - x_{36} \cdot x_{8} / \left(k_{21} \cdot x_{12} \cdot x_{6}\right)\right) / \left(k_{19} \cdot k_{20} \cdot \left(x_{36} + k_{18}\right) \cdot \left(k_{22} / k_{20} + x_{12} / k_{19} + x_{6} / k_{20} + x_{8} / k_{23} + x_{36} \cdot x_{8} / \left(k_{23} \cdot k_{24}\right) + x_{12} \cdot x_{6} / \left(k_{19} \cdot k_{20}\right)\right)\right) + 1 \cdot k_{47} \cdot x_{29} \cdot x_{6} \cdot \left(1 - x_{9} \cdot x_{8} / \left(k_{48} \cdot x_{29} \cdot x_{6}\right)\right) / \left(k_{49} \cdot k_{50} \cdot \left(1 + x_{29} / k_{49} + x_{9} / k_{51}\right) \cdot \left(1 + x_{6} / k_{50} + x_{8} / k_{52} + x_{3} / k_{53} + x_{12} / k_{54}\right)\right) + 1 \cdot k_{66} \cdot x_{3} \cdot x_{6} \cdot \left(1 - x_{12} \cdot x_{8} / \left(k_{67} \cdot x_{3} \cdot x_{6}\right)\right) / \left(k_{68} \cdot k_{69} \cdot \left(1 + x_{3} / k_{68} + x_{12} / k_{70}\right) \cdot \left(1 + x_{6} / k_{69} + x_{8} / k_{71} + x_{29} / k_{72} + x_{9} / k_{73}\right)\right) + -1 \cdot k_{95} \cdot x_{8} \cdot x_{17} \cdot \left(1 - x_{10} \cdot x_{6} / \left(k_{96} \cdot x_{8} \cdot x_{17}\right)\right) / \left(k_{97} \cdot k_{98} \cdot \left(1 + x_{8} / k_{97} + x_{10} / k_{97}\right) \cdot \left(1 + x_{17} / k_{98} + x_{6} / k_{98}\right)\right) + -2 \cdot \left(k_{107} \cdot x_{8}^{2} - x_{47} \cdot x_{6} \cdot k_{108}\right) + -1 \cdot k_{145} \cdot x_{26} \cdot x_{8} \cdot \left(1 - x_{48} \cdot x_{6} / \left(k_{146} \cdot x_{26} \cdot x_{8}\right)\right) / \left(k_{147} \cdot k_{148} \cdot \left(1 + x_{26} / k_{147} + x_{48} / k_{149}\right) \cdot \left(1 + x_{8} / k_{148} + x_{6} / k_{150}\right)\right) + -1 \cdot k_{160} \cdot x_{42} \cdot x_{8} \cdot \left(1 - k_{192} \cdot x_{6} / \left(k_{161} \cdot x_{42} \cdot x_{8}\right)\right) / \left(k_{162} \cdot k_{163} \cdot \left(1 + x_{42} / k_{162} + k_{192} / k_{164}\right) \cdot \left(1 + x_{8} / k_{163} + x_{6} / k_{165}\right)\right)\right) / k_{2}\\
\frac{dx_{9}}{dt} = \left(-1 \cdot k_{25} \cdot x_{9} \cdot x_{18} \cdot \left(1 - x_{45} \cdot x_{31} / \left(k_{26} \cdot x_{9} \cdot x_{18}\right)\right) / \left(k_{27} \cdot k_{28} \cdot \left(1 + x_{9} / k_{27} + x_{45} / k_{29}\right) \cdot \left(1 + x_{18} / k_{28} + x_{31} / k_{30}\right)\right) + 1 \cdot k_{47} \cdot x_{29} \cdot x_{6} \cdot \left(1 - x_{9} \cdot x_{8} / \left(k_{48} \cdot x_{29} \cdot x_{6}\right)\right) / \left(k_{49} \cdot k_{50} \cdot \left(1 + x_{29} / k_{49} + x_{9} / k_{51}\right) \cdot \left(1 + x_{6} / k_{50} + x_{8} / k_{52} + x_{3} / k_{53} + x_{12} / k_{54}\right)\right) + -1 \cdot k_{80} \cdot x_{9} \cdot \left(1 - x_{12} / \left(k_{82} \cdot x_{9}\right)\right) / \left(k_{81} \cdot \left(1 + x_{9} / k_{81} + x_{12} / k_{83} + x_{19} / k_{84}\right)\right)\right) / k_{2}\\
\frac{dx_{10}}{dt} = \left(-1 \cdot k_{8} \cdot x_{10} \cdot \left(1 - x_{33} \cdot x_{17} / \left(k_{14} \cdot x_{46} \cdot x_{10}\right)\right) \cdot x_{46} / \left(k_{9} \cdot \left(1 + x_{10} / k_{11} + x_{17} / k_{10}\right)\right)^{k_{12}} / \left(k_{13} \cdot \left(1 + x_{46} / \left(k_{9} \cdot \left(1 + x_{10} / k_{11} + x_{17} / k_{10}\right)\right)^{k_{12}} + x_{33} / k_{15}\right) \cdot \left(1 + x_{10} / k_{13} + x_{17} / k_{16}\right)\right) + 1 \cdot k_{57} \cdot x_{27} \cdot x_{17} \cdot \left(1 - x_{24} \cdot x_{10} / \left(k_{58} \cdot x_{27} \cdot x_{17}\right)\right) / \left(k_{59} \cdot k_{60} \cdot \left(1 + x_{27} / k_{59} + x_{24} / k_{61}\right) \cdot \left(1 + x_{17} / k_{60} + x_{10} / k_{62} + x_{4} / k_{63} + k_{184} / k_{64}\right)\right) + -2 \cdot \left(k_{78} \cdot x_{10}^{2} - x_{49} \cdot x_{17} \cdot k_{79}\right) + 1 \cdot k_{85} \cdot x_{4} \cdot x_{17} \cdot \left(1 - k_{184} \cdot x_{10} / \left(k_{86} \cdot x_{4} \cdot x_{17}\right)\right) / \left(k_{87} \cdot k_{88} \cdot \left(1 + x_{4} / k_{87} + k_{184} / k_{89}\right) \cdot \left(1 + x_{17} / k_{88} + x_{10} / k_{90} + x_{27} / k_{91} + x_{24} / k_{92}\right)\right) + 1 \cdot k_{95} \cdot x_{8} \cdot x_{17} \cdot \left(1 - x_{10} \cdot x_{6} / \left(k_{96} \cdot x_{8} \cdot x_{17}\right)\right) / \left(k_{97} \cdot k_{98} \cdot \left(1 + x_{8} / k_{97} + x_{10} / k_{97}\right) \cdot \left(1 + x_{17} / k_{98} + x_{6} / k_{98}\right)\right) + 1 \cdot k_{159} \cdot x_{17} / x_{10}\right) / k_{1}\\
\frac{dx_{11}}{dt} = \left(-1 \cdot k_{31} \cdot x_{11} \cdot \left(1 - x_{2} / \left(k_{32} \cdot x_{11}\right)\right) / \left(k_{33} \cdot \left(1 + x_{11} / k_{33} + x_{2} / k_{34}\right)\right) + 1 \cdot \left(k_{55} \cdot x_{48} - k_{55} \cdot x_{11}\right)\right) / k_{1}\\
\frac{dx_{12}}{dt} = \left(-1 \cdot k_{17} \cdot k_{18} \cdot x_{12} \cdot x_{6} \cdot \left(1 - x_{36} \cdot x_{8} / \left(k_{21} \cdot x_{12} \cdot x_{6}\right)\right) / \left(k_{19} \cdot k_{20} \cdot \left(x_{36} + k_{18}\right) \cdot \left(k_{22} / k_{20} + x_{12} / k_{19} + x_{6} / k_{20} + x_{8} / k_{23} + x_{36} \cdot x_{8} / \left(k_{23} \cdot k_{24}\right) + x_{12} \cdot x_{6} / \left(k_{19} \cdot k_{20}\right)\right)\right) + 1 \cdot k_{66} \cdot x_{3} \cdot x_{6} \cdot \left(1 - x_{12} \cdot x_{8} / \left(k_{67} \cdot x_{3} \cdot x_{6}\right)\right) / \left(k_{68} \cdot k_{69} \cdot \left(1 + x_{3} / k_{68} + x_{12} / k_{70}\right) \cdot \left(1 + x_{6} / k_{69} + x_{8} / k_{71} + x_{29} / k_{72} + x_{9} / k_{73}\right)\right) + 1 \cdot k_{80} \cdot x_{9} \cdot \left(1 - x_{12} / \left(k_{82} \cdot x_{9}\right)\right) / \left(k_{81} \cdot \left(1 + x_{9} / k_{81} + x_{12} / k_{83} + x_{19} / k_{84}\right)\right)\right) / k_{2}\\
\frac{dx_{13}}{dt} = 0\\
\frac{dx_{14}}{dt} = 0\\
\frac{dx_{15}}{dt} = 0\\
\frac{dx_{16}}{dt} = \left(-1 \cdot k_{37} \cdot x_{24} \cdot x_{16} \cdot \left(1 - x_{43} \cdot x_{32} / \left(k_{38} \cdot x_{24} \cdot x_{16}\right)\right) / \left(k_{39} \cdot k_{40} \cdot \left(1 + x_{24} / k_{39} + x_{43} / k_{41}\right) \cdot \left(1 + x_{16} / k_{40} + x_{32} / k_{42}\right)\right) + 1 \cdot k_{56} \cdot x_{32} + -1 \cdot k_{109} \cdot x_{22} \cdot x_{16} \cdot \left(1 - x_{21} \cdot x_{32} / \left(k_{110} \cdot x_{22} \cdot x_{16}\right)\right) / \left(k_{111} \cdot k_{112} \cdot \left(1 + x_{22} / k_{111} + x_{21} / k_{113}\right) \cdot \left(1 + x_{16} / k_{112} + x_{32} / k_{114}\right)\right) + 1 \cdot k_{139} \cdot x_{44} \cdot x_{32} \cdot \left(1 - x_{39} \cdot x_{16} / \left(k_{140} \cdot x_{44} \cdot x_{32}\right)\right) / \left(k_{141} \cdot k_{142} \cdot \left(1 + x_{44} / k_{141} + x_{39} / k_{143}\right) \cdot \left(1 + x_{32} / k_{142} + x_{16} / k_{144}\right)\right)\right) / k_{1}\\
\frac{dx_{17}}{dt} = \left(1 \cdot k_{8} \cdot x_{10} \cdot \left(1 - x_{33} \cdot x_{17} / \left(k_{14} \cdot x_{46} \cdot x_{10}\right)\right) \cdot x_{46} / \left(k_{9} \cdot \left(1 + x_{10} / k_{11} + x_{17} / k_{10}\right)\right)^{k_{12}} / \left(k_{13} \cdot \left(1 + x_{46} / \left(k_{9} \cdot \left(1 + x_{10} / k_{11} + x_{17} / k_{10}\right)\right)^{k_{12}} + x_{33} / k_{15}\right) \cdot \left(1 + x_{10} / k_{13} + x_{17} / k_{16}\right)\right) + -1 \cdot k_{57} \cdot x_{27} \cdot x_{17} \cdot \left(1 - x_{24} \cdot x_{10} / \left(k_{58} \cdot x_{27} \cdot x_{17}\right)\right) / \left(k_{59} \cdot k_{60} \cdot \left(1 + x_{27} / k_{59} + x_{24} / k_{61}\right) \cdot \left(1 + x_{17} / k_{60} + x_{10} / k_{62} + x_{4} / k_{63} + k_{184} / k_{64}\right)\right) + 1 \cdot \left(k_{78} \cdot x_{10}^{2} - x_{49} \cdot x_{17} \cdot k_{79}\right) + -1 \cdot k_{85} \cdot x_{4} \cdot x_{17} \cdot \left(1 - k_{184} \cdot x_{10} / \left(k_{86} \cdot x_{4} \cdot x_{17}\right)\right) / \left(k_{87} \cdot k_{88} \cdot \left(1 + x_{4} / k_{87} + k_{184} / k_{89}\right) \cdot \left(1 + x_{17} / k_{88} + x_{10} / k_{90} + x_{27} / k_{91} + x_{24} / k_{92}\right)\right) + -1 \cdot k_{95} \cdot x_{8} \cdot x_{17} \cdot \left(1 - x_{10} \cdot x_{6} / \left(k_{96} \cdot x_{8} \cdot x_{17}\right)\right) / \left(k_{97} \cdot k_{98} \cdot \left(1 + x_{8} / k_{97} + x_{10} / k_{97}\right) \cdot \left(1 + x_{17} / k_{98} + x_{6} / k_{98}\right)\right) + -1 \cdot k_{159} \cdot x_{17} / x_{10}\right) / k_{1}\\
\frac{dx_{18}}{dt} = \left(-1 \cdot k_{25} \cdot x_{9} \cdot x_{18} \cdot \left(1 - x_{45} \cdot x_{31} / \left(k_{26} \cdot x_{9} \cdot x_{18}\right)\right) / \left(k_{27} \cdot k_{28} \cdot \left(1 + x_{9} / k_{27} + x_{45} / k_{29}\right) \cdot \left(1 + x_{18} / k_{28} + x_{31} / k_{30}\right)\right) + 1 \cdot k_{65} \cdot x_{31} + -1 \cdot k_{123} \cdot x_{19} \cdot x_{18} \cdot \left(1 - x_{23} \cdot x_{31} / \left(k_{124} \cdot x_{19} \cdot x_{18}\right)\right) / \left(k_{125} \cdot k_{126} \cdot \left(1 + x_{19} / k_{125} + x_{23} / k_{127}\right) \cdot \left(1 + x_{18} / k_{126} + x_{31} / k_{128}\right)\right)\right) / k_{2}\\
\frac{dx_{19}}{dt} = \left(-1 \cdot k_{123} \cdot x_{19} \cdot x_{18} \cdot \left(1 - x_{23} \cdot x_{31} / \left(k_{124} \cdot x_{19} \cdot x_{18}\right)\right) / \left(k_{125} \cdot k_{126} \cdot \left(1 + x_{19} / k_{125} + x_{23} / k_{127}\right) \cdot \left(1 + x_{18} / k_{126} + x_{31} / k_{128}\right)\right) + 1 \cdot \left(k_{2} \cdot k_{138} \cdot \left(x_{45} - x_{19} / k_{135}\right) + k_{134} \cdot x_{45} \cdot \left(1 - x_{19} / \left(k_{135} \cdot x_{45}\right)\right) / \left(k_{136} \cdot \left(1 + x_{45} / k_{136} + x_{19} / k_{137}\right)\right)\right)\right) / k_{2}\\
\frac{dx_{20}}{dt} = 0\\
\frac{dx_{21}}{dt} = \left(1 \cdot k_{109} \cdot x_{22} \cdot x_{16} \cdot \left(1 - x_{21} \cdot x_{32} / \left(k_{110} \cdot x_{22} \cdot x_{16}\right)\right) / \left(k_{111} \cdot k_{112} \cdot \left(1 + x_{22} / k_{111} + x_{21} / k_{113}\right) \cdot \left(1 + x_{16} / k_{112} + x_{32} / k_{114}\right)\right) + -1 \cdot k_{115} \cdot x_{21} \cdot \left(1 - k_{188} / \left(k_{116} \cdot x_{21}\right)\right) / \left(k_{117} \cdot \left(1 + x_{21} / k_{117} + k_{188} / k_{118}\right)\right)\right) / k_{1}\\
\frac{dx_{22}}{dt} = \left(1 \cdot \left(k_{103} \cdot k_{1} \cdot \left(x_{43} - x_{22} / k_{100}\right) + k_{99} \cdot x_{43} \cdot \left(1 - x_{22} / \left(k_{100} \cdot x_{43}\right)\right) / \left(k_{101} \cdot \left(1 + x_{43} / k_{101} + x_{22} / k_{102}\right)\right)\right) + -1 \cdot k_{109} \cdot x_{22} \cdot x_{16} \cdot \left(1 - x_{21} \cdot x_{32} / \left(k_{110} \cdot x_{22} \cdot x_{16}\right)\right) / \left(k_{111} \cdot k_{112} \cdot \left(1 + x_{22} / k_{111} + x_{21} / k_{113}\right) \cdot \left(1 + x_{16} / k_{112} + x_{32} / k_{114}\right)\right)\right) / k_{1}\\
\frac{dx_{23}}{dt} = \left(-1 \cdot k_{119} \cdot x_{23} \cdot \left(1 - k_{189} / \left(k_{120} \cdot x_{23}\right)\right) / \left(k_{121} \cdot \left(1 + x_{23} / k_{121} + k_{189} / k_{122}\right)\right) + 1 \cdot k_{123} \cdot x_{19} \cdot x_{18} \cdot \left(1 - x_{23} \cdot x_{31} / \left(k_{124} \cdot x_{19} \cdot x_{18}\right)\right) / \left(k_{125} \cdot k_{126} \cdot \left(1 + x_{19} / k_{125} + x_{23} / k_{127}\right) \cdot \left(1 + x_{18} / k_{126} + x_{31} / k_{128}\right)\right)\right) / k_{2}\\
\frac{dx_{24}}{dt} = \left(-1 \cdot k_{37} \cdot x_{24} \cdot x_{16} \cdot \left(1 - x_{43} \cdot x_{32} / \left(k_{38} \cdot x_{24} \cdot x_{16}\right)\right) / \left(k_{39} \cdot k_{40} \cdot \left(1 + x_{24} / k_{39} + x_{43} / k_{41}\right) \cdot \left(1 + x_{16} / k_{40} + x_{32} / k_{42}\right)\right) + 1 \cdot k_{57} \cdot x_{27} \cdot x_{17} \cdot \left(1 - x_{24} \cdot x_{10} / \left(k_{58} \cdot x_{27} \cdot x_{17}\right)\right) / \left(k_{59} \cdot k_{60} \cdot \left(1 + x_{27} / k_{59} + x_{24} / k_{61}\right) \cdot \left(1 + x_{17} / k_{60} + x_{10} / k_{62} + x_{4} / k_{63} + k_{184} / k_{64}\right)\right) + -1 \cdot k_{74} \cdot x_{24} \cdot \left(1 - x_{27} / \left(k_{75} \cdot x_{24}\right)\right) / \left(k_{76} \cdot \left(1 + x_{24} / k_{76} + x_{27} / k_{77}\right)\right)\right) / k_{1}\\
\frac{dx_{25}}{dt} = 0\\
\frac{dx_{26}}{dt} = \left(-1 \cdot k_{145} \cdot x_{26} \cdot x_{8} \cdot \left(1 - x_{48} \cdot x_{6} / \left(k_{146} \cdot x_{26} \cdot x_{8}\right)\right) / \left(k_{147} \cdot k_{148} \cdot \left(1 + x_{26} / k_{147} + x_{48} / k_{149}\right) \cdot \left(1 + x_{8} / k_{148} + x_{6} / k_{150}\right)\right) + 1 \cdot k_{175} \cdot x_{37} \cdot x_{35} \cdot \left(1 - x_{26} \cdot x_{50} / \left(k_{176} \cdot x_{37} \cdot x_{35}\right)\right) / \left(k_{177} \cdot k_{178} \cdot \left(1 + x_{37} / k_{177} + x_{26} / k_{179}\right) \cdot \left(1 + x_{35} / k_{178} + x_{50} / k_{180}\right)\right)\right) / k_{2}\\
\frac{dx_{27}}{dt} = \left(-1 \cdot k_{57} \cdot x_{27} \cdot x_{17} \cdot \left(1 - x_{24} \cdot x_{10} / \left(k_{58} \cdot x_{27} \cdot x_{17}\right)\right) / \left(k_{59} \cdot k_{60} \cdot \left(1 + x_{27} / k_{59} + x_{24} / k_{61}\right) \cdot \left(1 + x_{17} / k_{60} + x_{10} / k_{62} + x_{4} / k_{63} + k_{184} / k_{64}\right)\right) + 1 \cdot k_{74} \cdot x_{24} \cdot \left(1 - x_{27} / \left(k_{75} \cdot x_{24}\right)\right) / \left(k_{76} \cdot \left(1 + x_{24} / k_{76} + x_{27} / k_{77}\right)\right) + -1 \cdot \left(k_{129} \cdot x_{27} - k_{130} \cdot x_{29}\right) + 1 \cdot k_{131} \cdot \left(k_{190} - x_{27}\right) / \left(k_{132} + k_{190} + x_{27} + k_{133} \cdot k_{190} \cdot x_{27} / k_{132}\right)\right) / k_{1}\\
\frac{dx_{28}}{dt} = 0\\
\frac{dx_{29}}{dt} = \left(-1 \cdot k_{47} \cdot x_{29} \cdot x_{6} \cdot \left(1 - x_{9} \cdot x_{8} / \left(k_{48} \cdot x_{29} \cdot x_{6}\right)\right) / \left(k_{49} \cdot k_{50} \cdot \left(1 + x_{29} / k_{49} + x_{9} / k_{51}\right) \cdot \left(1 + x_{6} / k_{50} + x_{8} / k_{52} + x_{3} / k_{53} + x_{12} / k_{54}\right)\right) + 1 \cdot \left(k_{129} \cdot x_{27} - k_{130} \cdot x_{29}\right)\right) / k_{2}\\
\frac{dx_{30}}{dt} = 0\\
\frac{dx_{31}}{dt} = \left(1 \cdot k_{25} \cdot x_{9} \cdot x_{18} \cdot \left(1 - x_{45} \cdot x_{31} / \left(k_{26} \cdot x_{9} \cdot x_{18}\right)\right) / \left(k_{27} \cdot k_{28} \cdot \left(1 + x_{9} / k_{27} + x_{45} / k_{29}\right) \cdot \left(1 + x_{18} / k_{28} + x_{31} / k_{30}\right)\right) + -1 \cdot k_{65} \cdot x_{31} + 1 \cdot k_{123} \cdot x_{19} \cdot x_{18} \cdot \left(1 - x_{23} \cdot x_{31} / \left(k_{124} \cdot x_{19} \cdot x_{18}\right)\right) / \left(k_{125} \cdot k_{126} \cdot \left(1 + x_{19} / k_{125} + x_{23} / k_{127}\right) \cdot \left(1 + x_{18} / k_{126} + x_{31} / k_{128}\right)\right)\right) / k_{2}\\
\frac{dx_{32}}{dt} = \left(1 \cdot k_{37} \cdot x_{24} \cdot x_{16} \cdot \left(1 - x_{43} \cdot x_{32} / \left(k_{38} \cdot x_{24} \cdot x_{16}\right)\right) / \left(k_{39} \cdot k_{40} \cdot \left(1 + x_{24} / k_{39} + x_{43} / k_{41}\right) \cdot \left(1 + x_{16} / k_{40} + x_{32} / k_{42}\right)\right) + -1 \cdot k_{56} \cdot x_{32} + 1 \cdot k_{109} \cdot x_{22} \cdot x_{16} \cdot \left(1 - x_{21} \cdot x_{32} / \left(k_{110} \cdot x_{22} \cdot x_{16}\right)\right) / \left(k_{111} \cdot k_{112} \cdot \left(1 + x_{22} / k_{111} + x_{21} / k_{113}\right) \cdot \left(1 + x_{16} / k_{112} + x_{32} / k_{114}\right)\right) + -1 \cdot k_{139} \cdot x_{44} \cdot x_{32} \cdot \left(1 - x_{39} \cdot x_{16} / \left(k_{140} \cdot x_{44} \cdot x_{32}\right)\right) / \left(k_{141} \cdot k_{142} \cdot \left(1 + x_{44} / k_{141} + x_{39} / k_{143}\right) \cdot \left(1 + x_{32} / k_{142} + x_{16} / k_{144}\right)\right)\right) / k_{1}\\
\frac{dx_{33}}{dt} = \left(1 \cdot k_{8} \cdot x_{10} \cdot \left(1 - x_{33} \cdot x_{17} / \left(k_{14} \cdot x_{46} \cdot x_{10}\right)\right) \cdot x_{46} / \left(k_{9} \cdot \left(1 + x_{10} / k_{11} + x_{17} / k_{10}\right)\right)^{k_{12}} / \left(k_{13} \cdot \left(1 + x_{46} / \left(k_{9} \cdot \left(1 + x_{10} / k_{11} + x_{17} / k_{10}\right)\right)^{k_{12}} + x_{33} / k_{15}\right) \cdot \left(1 + x_{10} / k_{13} + x_{17} / k_{16}\right)\right) + -1 \cdot k_{35} \cdot x_{33} / \left(k_{36} \cdot \left(1 + x_{33} / k_{36}\right)\right)\right) / k_{1}\\
\frac{dx_{34}}{dt} = 0\\
\frac{dx_{35}}{dt} = \left(1 \cdot k_{151} \cdot x_{7} \cdot x_{50} \cdot \left(1 - x_{42} \cdot x_{35} / \left(k_{152} \cdot x_{7} \cdot x_{50}\right)\right) / \left(k_{153} \cdot k_{154} \cdot \left(1 + x_{7} / k_{153} + x_{42} / k_{155}\right) \cdot \left(1 + x_{50} / k_{154} + x_{35} / k_{156}\right)\right) + -1 \cdot k_{175} \cdot x_{37} \cdot x_{35} \cdot \left(1 - x_{26} \cdot x_{50} / \left(k_{176} \cdot x_{37} \cdot x_{35}\right)\right) / \left(k_{177} \cdot k_{178} \cdot \left(1 + x_{37} / k_{177} + x_{26} / k_{179}\right) \cdot \left(1 + x_{35} / k_{178} + x_{50} / k_{180}\right)\right)\right) / k_{2}\\
\frac{dx_{36}}{dt} = \left(1 \cdot k_{17} \cdot k_{18} \cdot x_{12} \cdot x_{6} \cdot \left(1 - x_{36} \cdot x_{8} / \left(k_{21} \cdot x_{12} \cdot x_{6}\right)\right) / \left(k_{19} \cdot k_{20} \cdot \left(x_{36} + k_{18}\right) \cdot \left(k_{22} / k_{20} + x_{12} / k_{19} + x_{6} / k_{20} + x_{8} / k_{23} + x_{36} \cdot x_{8} / \left(k_{23} \cdot k_{24}\right) + x_{12} \cdot x_{6} / \left(k_{19} \cdot k_{20}\right)\right)\right) + -1 \cdot k_{166} \cdot x_{36} \cdot \left(1 - x_{37} \cdot x_{7} / \left(x_{36} \cdot k_{171}\right)\right) / \left(k_{167} \cdot \left(1 + x_{6} / k_{168} + x_{8} / k_{169} + x_{47} / k_{170}\right) \cdot \left(1 + x_{37} / k_{172} + x_{7} / k_{173} + x_{36} / \left(k_{167} \cdot \left(1 + x_{6} / k_{168} + x_{8} / k_{169} + x_{47} / k_{170}\right)\right) + x_{37} \cdot x_{7} / \left(k_{172} \cdot k_{173}\right) + x_{36} \cdot x_{37} / \left(k_{167} \cdot k_{174} \cdot \left(1 + x_{6} / k_{168} + x_{8} / k_{169} + x_{47} / k_{170}\right)\right)\right)\right)\right) / k_{2}\\
\frac{dx_{37}}{dt} = \left(1 \cdot k_{4} \cdot x_{7} \cdot \left(1 - x_{37} / \left(k_{5} \cdot x_{7}\right)\right) / \left(k_{6} \cdot \left(1 + x_{7} / k_{6} + x_{37} / k_{7}\right)\right) + 1 \cdot k_{166} \cdot x_{36} \cdot \left(1 - x_{37} \cdot x_{7} / \left(x_{36} \cdot k_{171}\right)\right) / \left(k_{167} \cdot \left(1 + x_{6} / k_{168} + x_{8} / k_{169} + x_{47} / k_{170}\right) \cdot \left(1 + x_{37} / k_{172} + x_{7} / k_{173} + x_{36} / \left(k_{167} \cdot \left(1 + x_{6} / k_{168} + x_{8} / k_{169} + x_{47} / k_{170}\right)\right) + x_{37} \cdot x_{7} / \left(k_{172} \cdot k_{173}\right) + x_{36} \cdot x_{37} / \left(k_{167} \cdot k_{174} \cdot \left(1 + x_{6} / k_{168} + x_{8} / k_{169} + x_{47} / k_{170}\right)\right)\right)\right) + -1 \cdot k_{175} \cdot x_{37} \cdot x_{35} \cdot \left(1 - x_{26} \cdot x_{50} / \left(k_{176} \cdot x_{37} \cdot x_{35}\right)\right) / \left(k_{177} \cdot k_{178} \cdot \left(1 + x_{37} / k_{177} + x_{26} / k_{179}\right) \cdot \left(1 + x_{35} / k_{178} + x_{50} / k_{180}\right)\right)\right) / k_{2}\\
\frac{dx_{38}}{dt} = 0\\
\frac{dx_{39}}{dt} = \left(-1 \cdot k_{93} \cdot x_{39} + 1 \cdot k_{139} \cdot x_{44} \cdot x_{32} \cdot \left(1 - x_{39} \cdot x_{16} / \left(k_{140} \cdot x_{44} \cdot x_{32}\right)\right) / \left(k_{141} \cdot k_{142} \cdot \left(1 + x_{44} / k_{141} + x_{39} / k_{143}\right) \cdot \left(1 + x_{32} / k_{142} + x_{16} / k_{144}\right)\right)\right) / k_{1}\\
\frac{dx_{40}}{dt} = 0\\
\frac{dx_{41}}{dt} = \left(1 \cdot \left(x_{42} \cdot k_{94} \cdot x_{5} - x_{41} \cdot k_{94} \cdot x_{7}\right) + -1 \cdot k_{181} \cdot x_{41} / \left(k_{182} \cdot \left(1 + x_{41} / k_{182}\right)\right)\right) / k_{1}\\
\frac{dx_{42}}{dt} = \left(-1 \cdot \left(x_{42} \cdot k_{94} \cdot x_{5} - x_{41} \cdot k_{94} \cdot x_{7}\right) + 1 \cdot k_{151} \cdot x_{7} \cdot x_{50} \cdot \left(1 - x_{42} \cdot x_{35} / \left(k_{152} \cdot x_{7} \cdot x_{50}\right)\right) / \left(k_{153} \cdot k_{154} \cdot \left(1 + x_{7} / k_{153} + x_{42} / k_{155}\right) \cdot \left(1 + x_{50} / k_{154} + x_{35} / k_{156}\right)\right) + -1 \cdot k_{160} \cdot x_{42} \cdot x_{8} \cdot \left(1 - k_{192} \cdot x_{6} / \left(k_{161} \cdot x_{42} \cdot x_{8}\right)\right) / \left(k_{162} \cdot k_{163} \cdot \left(1 + x_{42} / k_{162} + k_{192} / k_{164}\right) \cdot \left(1 + x_{8} / k_{163} + x_{6} / k_{165}\right)\right)\right) / k_{2}\\
\frac{dx_{43}}{dt} = \left(1 \cdot k_{37} \cdot x_{24} \cdot x_{16} \cdot \left(1 - x_{43} \cdot x_{32} / \left(k_{38} \cdot x_{24} \cdot x_{16}\right)\right) / \left(k_{39} \cdot k_{40} \cdot \left(1 + x_{24} / k_{39} + x_{43} / k_{41}\right) \cdot \left(1 + x_{16} / k_{40} + x_{32} / k_{42}\right)\right) + -1 \cdot \left(k_{103} \cdot k_{1} \cdot \left(x_{43} - x_{22} / k_{100}\right) + k_{99} \cdot x_{43} \cdot \left(1 - x_{22} / \left(k_{100} \cdot x_{43}\right)\right) / \left(k_{101} \cdot \left(1 + x_{43} / k_{101} + x_{22} / k_{102}\right)\right)\right)\right) / k_{1}\\
\frac{dx_{44}}{dt} = \left(1 \cdot k_{93} \cdot x_{39} + -1 \cdot k_{139} \cdot x_{44} \cdot x_{32} \cdot \left(1 - x_{39} \cdot x_{16} / \left(k_{140} \cdot x_{44} \cdot x_{32}\right)\right) / \left(k_{141} \cdot k_{142} \cdot \left(1 + x_{44} / k_{141} + x_{39} / k_{143}\right) \cdot \left(1 + x_{32} / k_{142} + x_{16} / k_{144}\right)\right)\right) / k_{1}\\
\frac{dx_{45}}{dt} = \left(1 \cdot k_{25} \cdot x_{9} \cdot x_{18} \cdot \left(1 - x_{45} \cdot x_{31} / \left(k_{26} \cdot x_{9} \cdot x_{18}\right)\right) / \left(k_{27} \cdot k_{28} \cdot \left(1 + x_{9} / k_{27} + x_{45} / k_{29}\right) \cdot \left(1 + x_{18} / k_{28} + x_{31} / k_{30}\right)\right) + -1 \cdot \left(k_{2} \cdot k_{138} \cdot \left(x_{45} - x_{19} / k_{135}\right) + k_{134} \cdot x_{45} \cdot \left(1 - x_{19} / \left(k_{135} \cdot x_{45}\right)\right) / \left(k_{136} \cdot \left(1 + x_{45} / k_{136} + x_{19} / k_{137}\right)\right)\right)\right) / k_{2}\\
\frac{dx_{46}}{dt} = \left(-1 \cdot k_{8} \cdot x_{10} \cdot \left(1 - x_{33} \cdot x_{17} / \left(k_{14} \cdot x_{46} \cdot x_{10}\right)\right) \cdot x_{46} / \left(k_{9} \cdot \left(1 + x_{10} / k_{11} + x_{17} / k_{10}\right)\right)^{k_{12}} / \left(k_{13} \cdot \left(1 + x_{46} / \left(k_{9} \cdot \left(1 + x_{10} / k_{11} + x_{17} / k_{10}\right)\right)^{k_{12}} + x_{33} / k_{15}\right) \cdot \left(1 + x_{10} / k_{13} + x_{17} / k_{16}\right)\right) + 1 \cdot k_{43} \cdot x_{2} \cdot \left(1 - x_{46} / \left(k_{44} \cdot x_{2}\right)\right) / \left(k_{45} \cdot \left(1 + x_{2} / k_{45} + x_{46} / k_{46}\right)\right)\right) / k_{1}\\
\frac{dx_{47}}{dt} = 1 \cdot \left(k_{107} \cdot x_{8}^{2} - x_{47} \cdot x_{6} \cdot k_{108}\right) / k_{2}\\
\frac{dx_{48}}{dt} = \left(-1 \cdot \left(k_{55} \cdot x_{48} - k_{55} \cdot x_{11}\right) + 1 \cdot k_{145} \cdot x_{26} \cdot x_{8} \cdot \left(1 - x_{48} \cdot x_{6} / \left(k_{146} \cdot x_{26} \cdot x_{8}\right)\right) / \left(k_{147} \cdot k_{148} \cdot \left(1 + x_{26} / k_{147} + x_{48} / k_{149}\right) \cdot \left(1 + x_{8} / k_{148} + x_{6} / k_{150}\right)\right)\right) / k_{2}\\
\frac{dx_{49}}{dt} = 1 \cdot \left(k_{78} \cdot x_{10}^{2} - x_{49} \cdot x_{17} \cdot k_{79}\right) / k_{1}\\
\frac{dx_{50}}{dt} = \left(-1 \cdot k_{151} \cdot x_{7} \cdot x_{50} \cdot \left(1 - x_{42} \cdot x_{35} / \left(k_{152} \cdot x_{7} \cdot x_{50}\right)\right) / \left(k_{153} \cdot k_{154} \cdot \left(1 + x_{7} / k_{153} + x_{42} / k_{155}\right) \cdot \left(1 + x_{50} / k_{154} + x_{35} / k_{156}\right)\right) + 1 \cdot k_{175} \cdot x_{37} \cdot x_{35} \cdot \left(1 - x_{26} \cdot x_{50} / \left(k_{176} \cdot x_{37} \cdot x_{35}\right)\right) / \left(k_{177} \cdot k_{178} \cdot \left(1 + x_{37} / k_{177} + x_{26} / k_{179}\right) \cdot \left(1 + x_{35} / k_{178} + x_{50} / k_{180}\right)\right)\right) / k_{2}