\frac{dx_{1}}{dt} = \left(1 \cdot k_{141} \cdot k_{151} \cdot k_{149} \cdot \left(x_{8} \cdot k_{205} / \left(k_{146} \cdot k_{147}\right) - x_{1} \cdot k_{206} / \left(k_{146} \cdot k_{147} \cdot k_{143}\right)\right) / \left(\left(1 + x_{8} / k_{146} + x_{1} / k_{145} + k_{207} / k_{144}^{k_{150}}\right) \cdot \left(1 + k_{205} / k_{147} + k_{206} / k_{148}\right)\right) / k_{141} + -1 \cdot k_{1} \cdot \left(x_{1} \cdot k_{222} - x_{12} \cdot k_{205} / k_{6}\right) / \left(x_{1} \cdot k_{222} + k_{3} \cdot x_{1} + k_{153} \cdot k_{222} \cdot \left(1 + k_{205} / k_{5}\right) + k_{1} / \left(k_{2} \cdot k_{6}\right) \cdot \left(k_{4} \cdot x_{12} \cdot \left(1 + x_{1} / k_{152}\right) + k_{205} \cdot \left(k_{154} + x_{12}\right)\right)\right)\right) / k_{141}\\
\frac{dx_{2}}{dt} = -1 \cdot k_{1} \cdot \left(x_{2} \cdot k_{222} - x_{17} \cdot k_{205} / k_{6}\right) / \left(x_{2} \cdot k_{222} + k_{3} \cdot x_{2} + k_{156} \cdot k_{222} \cdot \left(1 + k_{205} / k_{5}\right) + k_{1} / \left(k_{2} \cdot k_{6}\right) \cdot \left(k_{4} \cdot x_{17} \cdot \left(1 + x_{2} / k_{155}\right) + k_{205} \cdot \left(k_{157} + x_{17}\right)\right)\right) / k_{141}\\
\frac{dx_{3}}{dt} = -1 \cdot k_{1} \cdot \left(x_{3} \cdot k_{222} - x_{22} \cdot k_{205} / k_{6}\right) / \left(x_{3} \cdot k_{222} + k_{3} \cdot x_{3} + k_{159} \cdot k_{222} \cdot \left(1 + k_{205} / k_{5}\right) + k_{1} / \left(k_{2} \cdot k_{6}\right) \cdot \left(k_{4} \cdot x_{22} \cdot \left(1 + x_{3} / k_{158}\right) + k_{205} \cdot \left(k_{160} + x_{22}\right)\right)\right) / k_{141}\\
\frac{dx_{4}}{dt} = -1 \cdot k_{1} \cdot \left(x_{4} \cdot k_{222} - x_{27} \cdot k_{205} / k_{6}\right) / \left(x_{4} \cdot k_{222} + k_{3} \cdot x_{4} + k_{162} \cdot k_{222} \cdot \left(1 + k_{205} / k_{5}\right) + k_{1} / \left(k_{2} \cdot k_{6}\right) \cdot \left(k_{4} \cdot x_{27} \cdot \left(1 + x_{4} / k_{161}\right) + k_{205} \cdot \left(k_{163} + x_{27}\right)\right)\right) / k_{141}\\
\frac{dx_{5}}{dt} = -1 \cdot k_{1} \cdot \left(x_{5} \cdot k_{222} - x_{32} \cdot k_{205} / k_{6}\right) / \left(x_{5} \cdot k_{222} + k_{3} \cdot x_{5} + k_{165} \cdot k_{222} \cdot \left(1 + k_{205} / k_{5}\right) + k_{1} / \left(k_{2} \cdot k_{6}\right) \cdot \left(k_{4} \cdot x_{32} \cdot \left(1 + x_{5} / k_{164}\right) + k_{205} \cdot \left(k_{166} + x_{32}\right)\right)\right) / k_{141}\\
\frac{dx_{6}}{dt} = -1 \cdot k_{1} \cdot \left(x_{6} \cdot k_{222} - x_{37} \cdot k_{205} / k_{6}\right) / \left(x_{6} \cdot k_{222} + k_{3} \cdot x_{6} + k_{168} \cdot k_{222} \cdot \left(1 + k_{205} / k_{5}\right) + k_{1} / \left(k_{2} \cdot k_{6}\right) \cdot \left(k_{4} \cdot x_{37} \cdot \left(1 + x_{6} / k_{167}\right) + k_{205} \cdot \left(k_{169} + x_{37}\right)\right)\right) / k_{141}\\
\frac{dx_{7}}{dt} = -1 \cdot k_{1} \cdot \left(x_{7} \cdot k_{222} - x_{42} \cdot k_{205} / k_{6}\right) / \left(x_{7} \cdot k_{222} + k_{3} \cdot x_{7} + k_{171} \cdot k_{222} \cdot \left(1 + k_{205} / k_{5}\right) + k_{1} / \left(k_{2} \cdot k_{6}\right) \cdot \left(k_{4} \cdot x_{42} \cdot \left(1 + x_{7} / k_{170}\right) + k_{205} \cdot \left(k_{172} + x_{42}\right)\right)\right) / k_{141}\\
\frac{dx_{9}}{dt} = 0\\
\frac{dx_{10}}{dt} = 0\\
\frac{dx_{11}}{dt} = 0\\
\frac{dx_{12}}{dt} = \left(1 \cdot k_{1} \cdot \left(x_{1} \cdot k_{222} - x_{12} \cdot k_{205} / k_{6}\right) / \left(x_{1} \cdot k_{222} + k_{3} \cdot x_{1} + k_{153} \cdot k_{222} \cdot \left(1 + k_{205} / k_{5}\right) + k_{1} / \left(k_{2} \cdot k_{6}\right) \cdot \left(k_{4} \cdot x_{12} \cdot \left(1 + x_{1} / k_{152}\right) + k_{205} \cdot \left(k_{154} + x_{12}\right)\right)\right) + -1 \cdot k_{142} \cdot k_{173} \cdot k_{7} \cdot \left(x_{12} \cdot x_{50} / \left(k_{8} \cdot k_{15}\right) - x_{13} \cdot k_{222} / \left(k_{8} \cdot k_{15} \cdot k_{24}\right)\right) / \left(\left(1 + x_{12} / k_{8} + x_{13} / k_{16} + x_{17} / k_{9} + x_{18} / k_{17} + x_{22} / k_{10} + x_{23} / k_{18} + x_{27} / k_{11} + x_{28} / k_{19} + x_{32} / k_{12} + x_{33} / k_{20} + x_{37} / k_{13} + x_{38} / k_{21} + x_{42} / k_{14} + x_{43} / k_{22}\right) \cdot \left(1 + x_{50} / k_{15} + k_{222} / k_{23}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{142} \cdot k_{173} \cdot k_{7} \cdot \left(x_{12} \cdot x_{50} / \left(k_{8} \cdot k_{15}\right) - x_{13} \cdot k_{222} / \left(k_{8} \cdot k_{15} \cdot k_{24}\right)\right) / \left(\left(1 + x_{12} / k_{8} + x_{13} / k_{16} + x_{17} / k_{9} + x_{18} / k_{17} + x_{22} / k_{10} + x_{23} / k_{18} + x_{27} / k_{11} + x_{28} / k_{19} + x_{32} / k_{12} + x_{33} / k_{20} + x_{37} / k_{13} + x_{38} / k_{21} + x_{42} / k_{14} + x_{43} / k_{22}\right) \cdot \left(1 + x_{50} / k_{15} + k_{222} / k_{23}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{180} \cdot k_{25} \cdot \left(x_{13} \cdot \left(k_{223} - k_{220}\right) / \left(k_{26} \cdot k_{29}\right) - x_{14} \cdot k_{220} / \left(k_{26} \cdot k_{29} \cdot k_{34}\right)\right) / \left(\left(1 + x_{13} / k_{26} + x_{14} / k_{30} + x_{18} / k_{27} + x_{19} / k_{31} + x_{23} / k_{28} + x_{24} / k_{32}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{29} + k_{220} / k_{33}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{183} \cdot k_{35} \cdot \left(x_{13} \cdot \left(k_{223} - k_{220}\right) / \left(k_{36} \cdot k_{41}\right) - x_{14} \cdot k_{220} / \left(k_{36} \cdot k_{41} \cdot k_{48}\right)\right) / \left(\left(1 + x_{13} / k_{36} + x_{14} / k_{42} + x_{18} / k_{37} + x_{19} / k_{43} + x_{23} / k_{38} + x_{24} / k_{44} + x_{28} / k_{39} + x_{29} / k_{45} + x_{33} / k_{40} + x_{34} / k_{46}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{41} + k_{220} / k_{47}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{14}}{dt} = \left(1 \cdot k_{142} \cdot k_{180} \cdot k_{25} \cdot \left(x_{13} \cdot \left(k_{223} - k_{220}\right) / \left(k_{26} \cdot k_{29}\right) - x_{14} \cdot k_{220} / \left(k_{26} \cdot k_{29} \cdot k_{34}\right)\right) / \left(\left(1 + x_{13} / k_{26} + x_{14} / k_{30} + x_{18} / k_{27} + x_{19} / k_{31} + x_{23} / k_{28} + x_{24} / k_{32}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{29} + k_{220} / k_{33}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{183} \cdot k_{35} \cdot \left(x_{13} \cdot \left(k_{223} - k_{220}\right) / \left(k_{36} \cdot k_{41}\right) - x_{14} \cdot k_{220} / \left(k_{36} \cdot k_{41} \cdot k_{48}\right)\right) / \left(\left(1 + x_{13} / k_{36} + x_{14} / k_{42} + x_{18} / k_{37} + x_{19} / k_{43} + x_{23} / k_{38} + x_{24} / k_{44} + x_{28} / k_{39} + x_{29} / k_{45} + x_{33} / k_{40} + x_{34} / k_{46}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{41} + k_{220} / k_{47}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{194} \cdot k_{124} \cdot \left(x_{14} \cdot \left(k_{224} - k_{221}\right) \cdot x_{50} / \left(k_{125} \cdot k_{130} \cdot k_{131}\right) - x_{18} \cdot k_{221} \cdot x_{47} / \left(k_{125} \cdot k_{130} \cdot k_{131} \cdot k_{140}\right)\right) / \left(\left(1 + x_{14} / k_{125} + x_{18} / k_{132} + x_{19} / k_{126} + x_{13} / k_{133} + x_{24} / k_{127} + x_{23} / k_{134} + x_{29} / k_{128} + x_{28} / k_{135} + x_{34} / k_{129} + x_{33} / k_{136} + x_{38} / k_{137} + x_{46} / k_{86}\right) \cdot \left(1 + \left(k_{224} - k_{221}\right) / k_{130} + k_{221} / k_{138}\right) \cdot \left(1 + x_{50} / k_{131} + x_{47} / k_{139}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{15}}{dt} = 0\\
\frac{dx_{16}}{dt} = 0\\
\frac{dx_{17}}{dt} = \left(1 \cdot k_{1} \cdot \left(x_{2} \cdot k_{222} - x_{17} \cdot k_{205} / k_{6}\right) / \left(x_{2} \cdot k_{222} + k_{3} \cdot x_{2} + k_{156} \cdot k_{222} \cdot \left(1 + k_{205} / k_{5}\right) + k_{1} / \left(k_{2} \cdot k_{6}\right) \cdot \left(k_{4} \cdot x_{17} \cdot \left(1 + x_{2} / k_{155}\right) + k_{205} \cdot \left(k_{157} + x_{17}\right)\right)\right) + -1 \cdot k_{142} \cdot k_{174} \cdot k_{7} \cdot \left(x_{17} \cdot x_{50} / \left(k_{9} \cdot k_{15}\right) - x_{18} \cdot k_{222} / \left(k_{9} \cdot k_{15} \cdot k_{24}\right)\right) / \left(\left(1 + x_{17} / k_{9} + x_{18} / k_{17} + x_{12} / k_{8} + x_{13} / k_{16} + x_{22} / k_{10} + x_{23} / k_{18} + x_{27} / k_{11} + x_{28} / k_{19} + x_{32} / k_{12} + x_{33} / k_{20} + x_{37} / k_{13} + x_{38} / k_{21} + x_{42} / k_{22} + x_{43} / k_{22}\right) \cdot \left(1 + x_{50} / k_{15} + k_{222} / k_{23}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{18}}{dt} = \left(1 \cdot k_{142} \cdot k_{174} \cdot k_{7} \cdot \left(x_{17} \cdot x_{50} / \left(k_{9} \cdot k_{15}\right) - x_{18} \cdot k_{222} / \left(k_{9} \cdot k_{15} \cdot k_{24}\right)\right) / \left(\left(1 + x_{17} / k_{9} + x_{18} / k_{17} + x_{12} / k_{8} + x_{13} / k_{16} + x_{22} / k_{10} + x_{23} / k_{18} + x_{27} / k_{11} + x_{28} / k_{19} + x_{32} / k_{12} + x_{33} / k_{20} + x_{37} / k_{13} + x_{38} / k_{21} + x_{42} / k_{22} + x_{43} / k_{22}\right) \cdot \left(1 + x_{50} / k_{15} + k_{222} / k_{23}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{181} \cdot k_{25} \cdot \left(x_{18} \cdot \left(k_{223} - k_{220}\right) / \left(k_{27} \cdot k_{29}\right) - x_{19} \cdot k_{220} / \left(k_{27} \cdot k_{29} \cdot k_{34}\right)\right) / \left(\left(1 + x_{18} / k_{27} + x_{19} / k_{31} + x_{13} / k_{26} + x_{14} / k_{30} + x_{23} / k_{28} + x_{24} / k_{32}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{29} + k_{220} / k_{33}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{184} \cdot k_{35} \cdot \left(x_{18} \cdot \left(k_{223} - k_{220}\right) / \left(k_{37} \cdot k_{41}\right) - x_{19} \cdot k_{220} / \left(k_{37} \cdot k_{41} \cdot k_{48}\right)\right) / \left(\left(1 + x_{18} / k_{37} + x_{19} / k_{43} + x_{13} / k_{36} + x_{14} / k_{42} + x_{23} / k_{38} + x_{24} / k_{44} + x_{28} / k_{39} + x_{29} / k_{45} + x_{33} / k_{40} + x_{34} / k_{46}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{41} + k_{220} / k_{47}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{194} \cdot k_{124} \cdot \left(x_{14} \cdot \left(k_{224} - k_{221}\right) \cdot x_{50} / \left(k_{125} \cdot k_{130} \cdot k_{131}\right) - x_{18} \cdot k_{221} \cdot x_{47} / \left(k_{125} \cdot k_{130} \cdot k_{131} \cdot k_{140}\right)\right) / \left(\left(1 + x_{14} / k_{125} + x_{18} / k_{132} + x_{19} / k_{126} + x_{13} / k_{133} + x_{24} / k_{127} + x_{23} / k_{134} + x_{29} / k_{128} + x_{28} / k_{135} + x_{34} / k_{129} + x_{33} / k_{136} + x_{38} / k_{137} + x_{46} / k_{86}\right) \cdot \left(1 + \left(k_{224} - k_{221}\right) / k_{130} + k_{221} / k_{138}\right) \cdot \left(1 + x_{50} / k_{131} + x_{47} / k_{139}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{19}}{dt} = \left(1 \cdot k_{142} \cdot k_{181} \cdot k_{25} \cdot \left(x_{18} \cdot \left(k_{223} - k_{220}\right) / \left(k_{27} \cdot k_{29}\right) - x_{19} \cdot k_{220} / \left(k_{27} \cdot k_{29} \cdot k_{34}\right)\right) / \left(\left(1 + x_{18} / k_{27} + x_{19} / k_{31} + x_{13} / k_{26} + x_{14} / k_{30} + x_{23} / k_{28} + x_{24} / k_{32}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{29} + k_{220} / k_{33}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{184} \cdot k_{35} \cdot \left(x_{18} \cdot \left(k_{223} - k_{220}\right) / \left(k_{37} \cdot k_{41}\right) - x_{19} \cdot k_{220} / \left(k_{37} \cdot k_{41} \cdot k_{48}\right)\right) / \left(\left(1 + x_{18} / k_{37} + x_{19} / k_{43} + x_{13} / k_{36} + x_{14} / k_{42} + x_{23} / k_{38} + x_{24} / k_{44} + x_{28} / k_{39} + x_{29} / k_{45} + x_{33} / k_{40} + x_{34} / k_{46}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{41} + k_{220} / k_{47}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{195} \cdot k_{124} \cdot \left(x_{19} \cdot \left(k_{224} - k_{221}\right) \cdot x_{50} / \left(k_{126} \cdot k_{130} \cdot k_{131}\right) - x_{23} \cdot k_{221} \cdot x_{47} / \left(k_{126} \cdot k_{130} \cdot k_{131} \cdot k_{140}\right)\right) / \left(\left(1 + x_{19} / k_{126} + x_{23} / k_{134} + x_{14} / k_{125} + x_{13} / k_{133} + x_{24} / k_{127} + x_{18} / k_{132} + x_{29} / k_{128} + x_{28} / k_{135} + x_{34} / k_{129} + x_{33} / k_{136} + x_{38} / k_{137} + x_{46} / k_{86}\right) \cdot \left(1 + \left(k_{224} - k_{221}\right) / k_{130} + k_{221} / k_{138}\right) \cdot \left(1 + x_{50} / k_{131} + x_{47} / k_{139}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{20}}{dt} = 0\\
\frac{dx_{21}}{dt} = 0\\
\frac{dx_{22}}{dt} = \left(1 \cdot k_{1} \cdot \left(x_{3} \cdot k_{222} - x_{22} \cdot k_{205} / k_{6}\right) / \left(x_{3} \cdot k_{222} + k_{3} \cdot x_{3} + k_{159} \cdot k_{222} \cdot \left(1 + k_{205} / k_{5}\right) + k_{1} / \left(k_{2} \cdot k_{6}\right) \cdot \left(k_{4} \cdot x_{22} \cdot \left(1 + x_{3} / k_{158}\right) + k_{205} \cdot \left(k_{160} + x_{22}\right)\right)\right) + -1 \cdot k_{142} \cdot k_{175} \cdot k_{7} \cdot \left(x_{22} \cdot x_{50} / \left(k_{10} \cdot k_{15}\right) - x_{23} \cdot k_{222} / \left(k_{10} \cdot k_{15} \cdot k_{24}\right)\right) / \left(\left(1 + x_{22} / k_{10} + x_{23} / k_{18} + x_{12} / k_{8} + x_{13} / k_{16} + x_{17} / k_{9} + x_{18} / k_{17} + x_{27} / k_{11} + x_{28} / k_{19} + x_{32} / k_{12} + x_{33} / k_{20} + x_{37} / k_{13} + x_{38} / k_{21} + x_{42} / k_{14} + x_{43} / k_{22}\right) \cdot \left(1 + x_{50} / k_{15} + k_{222} / k_{23}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{23}}{dt} = \left(1 \cdot k_{142} \cdot k_{175} \cdot k_{7} \cdot \left(x_{22} \cdot x_{50} / \left(k_{10} \cdot k_{15}\right) - x_{23} \cdot k_{222} / \left(k_{10} \cdot k_{15} \cdot k_{24}\right)\right) / \left(\left(1 + x_{22} / k_{10} + x_{23} / k_{18} + x_{12} / k_{8} + x_{13} / k_{16} + x_{17} / k_{9} + x_{18} / k_{17} + x_{27} / k_{11} + x_{28} / k_{19} + x_{32} / k_{12} + x_{33} / k_{20} + x_{37} / k_{13} + x_{38} / k_{21} + x_{42} / k_{14} + x_{43} / k_{22}\right) \cdot \left(1 + x_{50} / k_{15} + k_{222} / k_{23}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{182} \cdot k_{25} \cdot \left(x_{23} \cdot \left(k_{223} - k_{220}\right) / \left(k_{28} \cdot k_{29}\right) - x_{24} \cdot k_{220} / \left(k_{28} \cdot k_{29} \cdot k_{34}\right)\right) / \left(\left(1 + x_{23} / k_{28} + x_{24} / k_{32} + x_{13} / k_{26} + x_{14} / k_{30} + x_{18} / k_{27} + x_{19} / k_{31}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{29} + k_{220} / k_{33}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{185} \cdot k_{35} \cdot \left(x_{23} \cdot \left(k_{223} - k_{220}\right) / \left(k_{38} \cdot k_{41}\right) - x_{19} \cdot k_{220} / \left(k_{38} \cdot k_{41} \cdot k_{48}\right)\right) / \left(\left(1 + x_{23} / k_{38} + x_{19} / k_{44} + x_{13} / k_{36} + x_{14} / k_{42} + x_{18} / k_{37} + x_{19} / k_{43} + x_{28} / k_{39} + x_{29} / k_{45} + x_{33} / k_{40} + x_{34} / k_{46}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{41} + k_{220} / k_{47}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{187} \cdot k_{49} \cdot \left(x_{23} \cdot \left(k_{223} - k_{220}\right) / \left(k_{50} \cdot k_{55}\right) - x_{24} \cdot k_{220} / \left(k_{50} \cdot k_{55} \cdot k_{62}\right)\right) / \left(\left(1 + x_{23} / k_{50} + x_{24} / k_{56} + x_{28} / k_{51} + x_{29} / k_{57} + x_{33} / k_{52} + x_{34} / k_{58} + x_{38} / k_{53} + x_{39} / k_{59} + x_{43} / k_{54} + x_{44} / k_{60}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{55} + k_{220} / k_{61}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{195} \cdot k_{124} \cdot \left(x_{19} \cdot \left(k_{224} - k_{221}\right) \cdot x_{50} / \left(k_{126} \cdot k_{130} \cdot k_{131}\right) - x_{23} \cdot k_{221} \cdot x_{47} / \left(k_{126} \cdot k_{130} \cdot k_{131} \cdot k_{140}\right)\right) / \left(\left(1 + x_{19} / k_{126} + x_{23} / k_{134} + x_{14} / k_{125} + x_{13} / k_{133} + x_{24} / k_{127} + x_{18} / k_{132} + x_{29} / k_{128} + x_{28} / k_{135} + x_{34} / k_{129} + x_{33} / k_{136} + x_{38} / k_{137} + x_{46} / k_{86}\right) \cdot \left(1 + \left(k_{224} - k_{221}\right) / k_{130} + k_{221} / k_{138}\right) \cdot \left(1 + x_{50} / k_{131} + x_{47} / k_{139}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{24}}{dt} = \left(1 \cdot k_{142} \cdot k_{182} \cdot k_{25} \cdot \left(x_{23} \cdot \left(k_{223} - k_{220}\right) / \left(k_{28} \cdot k_{29}\right) - x_{24} \cdot k_{220} / \left(k_{28} \cdot k_{29} \cdot k_{34}\right)\right) / \left(\left(1 + x_{23} / k_{28} + x_{24} / k_{32} + x_{13} / k_{26} + x_{14} / k_{30} + x_{18} / k_{27} + x_{19} / k_{31}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{29} + k_{220} / k_{33}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{185} \cdot k_{35} \cdot \left(x_{23} \cdot \left(k_{223} - k_{220}\right) / \left(k_{38} \cdot k_{41}\right) - x_{19} \cdot k_{220} / \left(k_{38} \cdot k_{41} \cdot k_{48}\right)\right) / \left(\left(1 + x_{23} / k_{38} + x_{19} / k_{44} + x_{13} / k_{36} + x_{14} / k_{42} + x_{18} / k_{37} + x_{19} / k_{43} + x_{28} / k_{39} + x_{29} / k_{45} + x_{33} / k_{40} + x_{34} / k_{46}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{41} + k_{220} / k_{47}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{187} \cdot k_{49} \cdot \left(x_{23} \cdot \left(k_{223} - k_{220}\right) / \left(k_{50} \cdot k_{55}\right) - x_{24} \cdot k_{220} / \left(k_{50} \cdot k_{55} \cdot k_{62}\right)\right) / \left(\left(1 + x_{23} / k_{50} + x_{24} / k_{56} + x_{28} / k_{51} + x_{29} / k_{57} + x_{33} / k_{52} + x_{34} / k_{58} + x_{38} / k_{53} + x_{39} / k_{59} + x_{43} / k_{54} + x_{44} / k_{60}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{55} + k_{220} / k_{61}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{196} \cdot k_{124} \cdot \left(x_{24} \cdot \left(k_{224} - k_{221}\right) \cdot x_{50} / \left(k_{127} \cdot k_{130} \cdot k_{131}\right) - x_{28} \cdot k_{221} \cdot x_{47} / \left(k_{127} \cdot k_{130} \cdot k_{131} \cdot k_{140}\right)\right) / \left(\left(1 + x_{24} / k_{127} + x_{28} / k_{135} + x_{14} / k_{125} + x_{13} / k_{133} + x_{19} / k_{126} + x_{18} / k_{132} + x_{29} / k_{128} + x_{23} / k_{134} + x_{34} / k_{129} + x_{33} / k_{136} + x_{38} / k_{137} + x_{46} / k_{86}\right) \cdot \left(1 + \left(k_{224} - k_{221}\right) / k_{130} + k_{221} / k_{138}\right) \cdot \left(1 + x_{50} / k_{131} + x_{47} / k_{139}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{25}}{dt} = 0\\
\frac{dx_{26}}{dt} = 0\\
\frac{dx_{27}}{dt} = \left(1 \cdot k_{1} \cdot \left(x_{4} \cdot k_{222} - x_{27} \cdot k_{205} / k_{6}\right) / \left(x_{4} \cdot k_{222} + k_{3} \cdot x_{4} + k_{162} \cdot k_{222} \cdot \left(1 + k_{205} / k_{5}\right) + k_{1} / \left(k_{2} \cdot k_{6}\right) \cdot \left(k_{4} \cdot x_{27} \cdot \left(1 + x_{4} / k_{161}\right) + k_{205} \cdot \left(k_{163} + x_{27}\right)\right)\right) + -1 \cdot k_{142} \cdot k_{176} \cdot k_{7} \cdot \left(x_{27} \cdot x_{50} / \left(k_{11} \cdot k_{15}\right) - x_{28} \cdot k_{222} / \left(k_{11} \cdot k_{15} \cdot k_{24}\right)\right) / \left(\left(1 + x_{27} / k_{11} + x_{28} / k_{19} + x_{12} / k_{8} + x_{13} / k_{16} + x_{17} / k_{9} + x_{18} / k_{17} + x_{22} / k_{10} + x_{23} / k_{18} + x_{32} / k_{12} + x_{33} / k_{20} + x_{37} / k_{13} + x_{38} / k_{21} + x_{42} / k_{14} + x_{43} / k_{22}\right) \cdot \left(1 + x_{50} / k_{15} + k_{222} / k_{23}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{28}}{dt} = \left(1 \cdot k_{142} \cdot k_{176} \cdot k_{7} \cdot \left(x_{27} \cdot x_{50} / \left(k_{11} \cdot k_{15}\right) - x_{28} \cdot k_{222} / \left(k_{11} \cdot k_{15} \cdot k_{24}\right)\right) / \left(\left(1 + x_{27} / k_{11} + x_{28} / k_{19} + x_{12} / k_{8} + x_{13} / k_{16} + x_{17} / k_{9} + x_{18} / k_{17} + x_{22} / k_{10} + x_{23} / k_{18} + x_{32} / k_{12} + x_{33} / k_{20} + x_{37} / k_{13} + x_{38} / k_{21} + x_{42} / k_{14} + x_{43} / k_{22}\right) \cdot \left(1 + x_{50} / k_{15} + k_{222} / k_{23}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{186} \cdot k_{35} \cdot \left(x_{28} \cdot \left(k_{223} - k_{220}\right) / \left(k_{39} \cdot k_{41}\right) - x_{29} \cdot k_{220} / \left(k_{39} \cdot k_{41} \cdot k_{48}\right)\right) / \left(\left(1 + x_{28} / k_{39} + x_{29} / k_{45} + x_{13} / k_{36} + x_{14} / k_{42} + x_{18} / k_{37} + x_{19} / k_{43} + x_{23} / k_{38} + x_{24} / k_{44} + x_{33} / k_{40} + x_{34} / k_{46}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{41} + k_{220} / k_{47}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{188} \cdot k_{49} \cdot \left(x_{28} \cdot \left(k_{223} - k_{220}\right) / \left(k_{51} \cdot k_{55}\right) - x_{29} \cdot k_{220} / \left(k_{51} \cdot k_{55} \cdot k_{62}\right)\right) / \left(\left(1 + x_{28} / k_{51} + x_{29} / k_{57} + x_{23} / k_{50} + x_{24} / k_{56} + x_{33} / k_{52} + x_{34} / k_{58} + x_{38} / k_{53} + x_{39} / k_{59} + x_{43} / k_{54} + x_{44} / k_{60}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{55} + k_{220} / k_{61}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{196} \cdot k_{124} \cdot \left(x_{24} \cdot \left(k_{224} - k_{221}\right) \cdot x_{50} / \left(k_{127} \cdot k_{130} \cdot k_{131}\right) - x_{28} \cdot k_{221} \cdot x_{47} / \left(k_{127} \cdot k_{130} \cdot k_{131} \cdot k_{140}\right)\right) / \left(\left(1 + x_{24} / k_{127} + x_{28} / k_{135} + x_{14} / k_{125} + x_{13} / k_{133} + x_{19} / k_{126} + x_{18} / k_{132} + x_{29} / k_{128} + x_{23} / k_{134} + x_{34} / k_{129} + x_{33} / k_{136} + x_{38} / k_{137} + x_{46} / k_{86}\right) \cdot \left(1 + \left(k_{224} - k_{221}\right) / k_{130} + k_{221} / k_{138}\right) \cdot \left(1 + x_{50} / k_{131} + x_{47} / k_{139}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{29}}{dt} = \left(1 \cdot k_{142} \cdot k_{186} \cdot k_{35} \cdot \left(x_{28} \cdot \left(k_{223} - k_{220}\right) / \left(k_{39} \cdot k_{41}\right) - x_{29} \cdot k_{220} / \left(k_{39} \cdot k_{41} \cdot k_{48}\right)\right) / \left(\left(1 + x_{28} / k_{39} + x_{29} / k_{45} + x_{13} / k_{36} + x_{14} / k_{42} + x_{18} / k_{37} + x_{19} / k_{43} + x_{23} / k_{38} + x_{24} / k_{44} + x_{33} / k_{40} + x_{34} / k_{46}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{41} + k_{220} / k_{47}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{188} \cdot k_{49} \cdot \left(x_{28} \cdot \left(k_{223} - k_{220}\right) / \left(k_{51} \cdot k_{55}\right) - x_{29} \cdot k_{220} / \left(k_{51} \cdot k_{55} \cdot k_{62}\right)\right) / \left(\left(1 + x_{28} / k_{51} + x_{29} / k_{57} + x_{23} / k_{50} + x_{24} / k_{56} + x_{33} / k_{52} + x_{34} / k_{58} + x_{38} / k_{53} + x_{39} / k_{59} + x_{43} / k_{54} + x_{44} / k_{60}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{55} + k_{220} / k_{61}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{197} \cdot k_{124} \cdot \left(x_{29} \cdot \left(k_{224} - k_{221}\right) \cdot x_{50} / \left(k_{128} \cdot k_{130} \cdot k_{131}\right) - x_{33} \cdot k_{221} \cdot x_{47} / \left(k_{128} \cdot k_{130} \cdot k_{131} \cdot k_{140}\right)\right) / \left(\left(1 + x_{29} / k_{128} + x_{33} / k_{136} + x_{14} / k_{125} + x_{13} / k_{133} + x_{19} / k_{126} + x_{18} / k_{132} + x_{24} / k_{127} + x_{23} / k_{134} + x_{34} / k_{129} + x_{28} / k_{135} + x_{38} / k_{137} + x_{46} / k_{86}\right) \cdot \left(1 + \left(k_{224} - k_{221}\right) / k_{130} + k_{221} / k_{138}\right) \cdot \left(1 + x_{50} / k_{131} + x_{47} / k_{139}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{30}}{dt} = 0\\
\frac{dx_{31}}{dt} = 0\\
\frac{dx_{32}}{dt} = \left(1 \cdot k_{1} \cdot \left(x_{5} \cdot k_{222} - x_{32} \cdot k_{205} / k_{6}\right) / \left(x_{5} \cdot k_{222} + k_{3} \cdot x_{5} + k_{165} \cdot k_{222} \cdot \left(1 + k_{205} / k_{5}\right) + k_{1} / \left(k_{2} \cdot k_{6}\right) \cdot \left(k_{4} \cdot x_{32} \cdot \left(1 + x_{5} / k_{164}\right) + k_{205} \cdot \left(k_{166} + x_{32}\right)\right)\right) + -1 \cdot k_{142} \cdot k_{177} \cdot k_{7} \cdot \left(x_{32} \cdot x_{50} / \left(k_{12} \cdot k_{15}\right) - x_{33} \cdot k_{222} / \left(k_{12} \cdot k_{15} \cdot k_{24}\right)\right) / \left(\left(1 + x_{32} / k_{12} + x_{33} / k_{20} + x_{12} / k_{8} + x_{13} / k_{16} + x_{17} / k_{9} + x_{18} / k_{17} + x_{22} / k_{10} + x_{23} / k_{18} + x_{27} / k_{11} + x_{28} / k_{19} + x_{37} / k_{13} + x_{38} / k_{21} + x_{42} / k_{14} + x_{43} / k_{22}\right) \cdot \left(1 + x_{50} / k_{15} + k_{222} / k_{23}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{33}}{dt} = \left(1 \cdot k_{142} \cdot k_{177} \cdot k_{7} \cdot \left(x_{32} \cdot x_{50} / \left(k_{12} \cdot k_{15}\right) - x_{33} \cdot k_{222} / \left(k_{12} \cdot k_{15} \cdot k_{24}\right)\right) / \left(\left(1 + x_{32} / k_{12} + x_{33} / k_{20} + x_{12} / k_{8} + x_{13} / k_{16} + x_{17} / k_{9} + x_{18} / k_{17} + x_{22} / k_{10} + x_{23} / k_{18} + x_{27} / k_{11} + x_{28} / k_{19} + x_{37} / k_{13} + x_{38} / k_{21} + x_{42} / k_{14} + x_{43} / k_{22}\right) \cdot \left(1 + x_{50} / k_{15} + k_{222} / k_{23}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{189} \cdot k_{49} \cdot \left(x_{33} \cdot \left(k_{223} - k_{220}\right) / \left(k_{52} \cdot k_{55}\right) - x_{34} \cdot k_{220} / \left(k_{52} \cdot k_{55} \cdot k_{62}\right)\right) / \left(\left(1 + x_{33} / k_{52} + x_{34} / k_{58} + x_{23} / k_{50} + x_{24} / k_{56} + x_{28} / k_{51} + x_{29} / k_{57} + x_{38} / k_{53} + x_{39} / k_{59} + x_{43} / k_{54} + x_{44} / k_{60}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{55} + k_{220} / k_{61}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{197} \cdot k_{124} \cdot \left(x_{29} \cdot \left(k_{224} - k_{221}\right) \cdot x_{50} / \left(k_{128} \cdot k_{130} \cdot k_{131}\right) - x_{33} \cdot k_{221} \cdot x_{47} / \left(k_{128} \cdot k_{130} \cdot k_{131} \cdot k_{140}\right)\right) / \left(\left(1 + x_{29} / k_{128} + x_{33} / k_{136} + x_{14} / k_{125} + x_{13} / k_{133} + x_{19} / k_{126} + x_{18} / k_{132} + x_{24} / k_{127} + x_{23} / k_{134} + x_{34} / k_{129} + x_{28} / k_{135} + x_{38} / k_{137} + x_{46} / k_{86}\right) \cdot \left(1 + \left(k_{224} - k_{221}\right) / k_{130} + k_{221} / k_{138}\right) \cdot \left(1 + x_{50} / k_{131} + x_{47} / k_{139}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{34}}{dt} = \left(1 \cdot k_{142} \cdot k_{189} \cdot k_{49} \cdot \left(x_{33} \cdot \left(k_{223} - k_{220}\right) / \left(k_{52} \cdot k_{55}\right) - x_{34} \cdot k_{220} / \left(k_{52} \cdot k_{55} \cdot k_{62}\right)\right) / \left(\left(1 + x_{33} / k_{52} + x_{34} / k_{58} + x_{23} / k_{50} + x_{24} / k_{56} + x_{28} / k_{51} + x_{29} / k_{57} + x_{38} / k_{53} + x_{39} / k_{59} + x_{43} / k_{54} + x_{44} / k_{60}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{55} + k_{220} / k_{61}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{198} \cdot k_{124} \cdot \left(x_{34} \cdot \left(k_{224} - k_{221}\right) \cdot x_{50} / \left(k_{129} \cdot k_{130} \cdot k_{131}\right) - x_{38} \cdot k_{221} \cdot x_{47} / \left(k_{129} \cdot k_{130} \cdot k_{131} \cdot k_{140}\right)\right) / \left(\left(1 + x_{34} / k_{129} + x_{38} / k_{137} + x_{14} / k_{125} + x_{13} / k_{133} + x_{19} / k_{126} + x_{18} / k_{132} + x_{24} / k_{127} + x_{23} / k_{134} + x_{29} / k_{128} + x_{28} / k_{135} + x_{33} / k_{136} + x_{46} / k_{86}\right) \cdot \left(1 + \left(k_{224} - k_{221}\right) / k_{130} + k_{221} / k_{138}\right) \cdot \left(1 + x_{50} / k_{131} + x_{47} / k_{139}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{35}}{dt} = 0\\
\frac{dx_{36}}{dt} = 0\\
\frac{dx_{37}}{dt} = \left(1 \cdot k_{1} \cdot \left(x_{6} \cdot k_{222} - x_{37} \cdot k_{205} / k_{6}\right) / \left(x_{6} \cdot k_{222} + k_{3} \cdot x_{6} + k_{168} \cdot k_{222} \cdot \left(1 + k_{205} / k_{5}\right) + k_{1} / \left(k_{2} \cdot k_{6}\right) \cdot \left(k_{4} \cdot x_{37} \cdot \left(1 + x_{6} / k_{167}\right) + k_{205} \cdot \left(k_{169} + x_{37}\right)\right)\right) + -1 \cdot k_{142} \cdot k_{178} \cdot k_{7} \cdot \left(x_{37} \cdot x_{50} / \left(k_{13} \cdot k_{15}\right) - x_{38} \cdot k_{222} / \left(k_{13} \cdot k_{15} \cdot k_{24}\right)\right) / \left(\left(1 + x_{37} / k_{13} + x_{38} / k_{21} + x_{12} / k_{8} + x_{13} / k_{16} + x_{17} / k_{9} + x_{18} / k_{17} + x_{22} / k_{10} + x_{23} / k_{18} + x_{27} / k_{11} + x_{28} / k_{19} + x_{32} / k_{12} + x_{33} / k_{20} + x_{42} / k_{14} + x_{43} / k_{22}\right) \cdot \left(1 + x_{50} / k_{15} + k_{222} / k_{23}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{38}}{dt} = \left(1 \cdot k_{142} \cdot k_{178} \cdot k_{7} \cdot \left(x_{37} \cdot x_{50} / \left(k_{13} \cdot k_{15}\right) - x_{38} \cdot k_{222} / \left(k_{13} \cdot k_{15} \cdot k_{24}\right)\right) / \left(\left(1 + x_{37} / k_{13} + x_{38} / k_{21} + x_{12} / k_{8} + x_{13} / k_{16} + x_{17} / k_{9} + x_{18} / k_{17} + x_{22} / k_{10} + x_{23} / k_{18} + x_{27} / k_{11} + x_{28} / k_{19} + x_{32} / k_{12} + x_{33} / k_{20} + x_{42} / k_{14} + x_{43} / k_{22}\right) \cdot \left(1 + x_{50} / k_{15} + k_{222} / k_{23}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{190} \cdot k_{49} \cdot \left(x_{38} \cdot \left(k_{223} - k_{220}\right) / \left(k_{53} \cdot k_{55}\right) - x_{39} \cdot k_{220} / \left(k_{53} \cdot k_{55} \cdot k_{62}\right)\right) / \left(\left(1 + x_{38} / k_{53} + x_{39} / k_{59} + x_{23} / k_{50} + x_{24} / k_{56} + x_{28} / k_{51} + x_{29} / k_{57} + x_{33} / k_{52} + x_{34} / k_{58} + x_{43} / k_{54} + x_{44} / k_{60}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{55} + k_{220} / k_{61}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{198} \cdot k_{124} \cdot \left(x_{34} \cdot \left(k_{224} - k_{221}\right) \cdot x_{50} / \left(k_{129} \cdot k_{130} \cdot k_{131}\right) - x_{38} \cdot k_{221} \cdot x_{47} / \left(k_{129} \cdot k_{130} \cdot k_{131} \cdot k_{140}\right)\right) / \left(\left(1 + x_{34} / k_{129} + x_{38} / k_{137} + x_{14} / k_{125} + x_{13} / k_{133} + x_{19} / k_{126} + x_{18} / k_{132} + x_{24} / k_{127} + x_{23} / k_{134} + x_{29} / k_{128} + x_{28} / k_{135} + x_{33} / k_{136} + x_{46} / k_{86}\right) \cdot \left(1 + \left(k_{224} - k_{221}\right) / k_{130} + k_{221} / k_{138}\right) \cdot \left(1 + x_{50} / k_{131} + x_{47} / k_{139}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{39}}{dt} = \left(1 \cdot k_{142} \cdot k_{190} \cdot k_{49} \cdot \left(x_{38} \cdot \left(k_{223} - k_{220}\right) / \left(k_{53} \cdot k_{55}\right) - x_{39} \cdot k_{220} / \left(k_{53} \cdot k_{55} \cdot k_{62}\right)\right) / \left(\left(1 + x_{38} / k_{53} + x_{39} / k_{59} + x_{23} / k_{50} + x_{24} / k_{56} + x_{28} / k_{51} + x_{29} / k_{57} + x_{33} / k_{52} + x_{34} / k_{58} + x_{43} / k_{54} + x_{44} / k_{60}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{55} + k_{220} / k_{61}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{201} \cdot k_{71} \cdot k_{202} \cdot k_{88} \cdot \left(x_{39} \cdot k_{226} / \left(k_{77} \cdot k_{94} \cdot k_{96}\right) - x_{41} \cdot k_{221} / \left(k_{77} \cdot k_{94} \cdot k_{96} \cdot k_{87} \cdot k_{105}\right)\right) / \left(k_{201} \cdot k_{71} \cdot \left(1 + x_{41} / k_{102} + x_{46} / k_{103}\right) \cdot \left(1 + k_{226} / k_{96} + k_{221} / k_{104}\right) / \left(k_{77} \cdot k_{87}\right) + k_{202} \cdot k_{88} \cdot k_{226} \cdot \left(1 + x_{39} / k_{77} + x_{44} / k_{78} + x_{46} / k_{86}\right) / \left(k_{94} \cdot k_{96}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{40}}{dt} = 0\\
\frac{dx_{41}}{dt} = \left(-1 \cdot k_{142} \cdot k_{192} \cdot k_{106} \cdot \left(x_{41} \cdot x_{50} / \left(k_{112} \cdot k_{114}\right) - x_{43} \cdot x_{47} / \left(k_{112} \cdot k_{114} \cdot k_{123}\right)\right) / \left(\left(1 + x_{41} / k_{112} + x_{43} / k_{121} + k_{209} / k_{107} + x_{13} / k_{116} + k_{211} / k_{108} + x_{18} / k_{115} + k_{213} / k_{109} + x_{23} / k_{117} + k_{215} / k_{110} + x_{28} / k_{118} + k_{217} / k_{111} + x_{33} / k_{119} + x_{46} / k_{113} + x_{38} / k_{120} + x_{47} / k_{122}\right) \cdot \left(1 + x_{50} / k_{114} + x_{47} / k_{122}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{201} \cdot k_{71} \cdot k_{202} \cdot k_{88} \cdot \left(x_{39} \cdot k_{226} / \left(k_{77} \cdot k_{94} \cdot k_{96}\right) - x_{41} \cdot k_{221} / \left(k_{77} \cdot k_{94} \cdot k_{96} \cdot k_{87} \cdot k_{105}\right)\right) / \left(k_{201} \cdot k_{71} \cdot \left(1 + x_{41} / k_{102} + x_{46} / k_{103}\right) \cdot \left(1 + k_{226} / k_{96} + k_{221} / k_{104}\right) / \left(k_{77} \cdot k_{87}\right) + k_{202} \cdot k_{88} \cdot k_{226} \cdot \left(1 + x_{39} / k_{77} + x_{44} / k_{78} + x_{46} / k_{86}\right) / \left(k_{94} \cdot k_{96}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{42}}{dt} = \left(1 \cdot k_{1} \cdot \left(x_{7} \cdot k_{222} - x_{42} \cdot k_{205} / k_{6}\right) / \left(x_{7} \cdot k_{222} + k_{3} \cdot x_{7} + k_{171} \cdot k_{222} \cdot \left(1 + k_{205} / k_{5}\right) + k_{1} / \left(k_{2} \cdot k_{6}\right) \cdot \left(k_{4} \cdot x_{42} \cdot \left(1 + x_{7} / k_{170}\right) + k_{205} \cdot \left(k_{172} + x_{42}\right)\right)\right) + -1 \cdot k_{142} \cdot k_{179} \cdot k_{7} \cdot \left(x_{42} \cdot x_{50} / \left(k_{14} \cdot k_{15}\right) - x_{43} \cdot k_{222} / \left(k_{14} \cdot k_{15} \cdot k_{24}\right)\right) / \left(\left(1 + x_{42} / k_{14} + x_{43} / k_{22} + x_{12} / k_{8} + x_{13} / k_{16} + x_{17} / k_{9} + x_{18} / k_{17} + x_{22} / k_{10} + x_{23} / k_{18} + x_{27} / k_{11} + x_{28} / k_{19} + x_{32} / k_{12} + x_{33} / k_{20} + x_{37} / k_{13} + x_{38} / k_{21}\right) \cdot \left(1 + x_{50} / k_{15} + k_{222} / k_{23}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{43}}{dt} = \left(1 \cdot k_{142} \cdot k_{179} \cdot k_{7} \cdot \left(x_{42} \cdot x_{50} / \left(k_{14} \cdot k_{15}\right) - x_{43} \cdot k_{222} / \left(k_{14} \cdot k_{15} \cdot k_{24}\right)\right) / \left(\left(1 + x_{42} / k_{14} + x_{43} / k_{22} + x_{12} / k_{8} + x_{13} / k_{16} + x_{17} / k_{9} + x_{18} / k_{17} + x_{22} / k_{10} + x_{23} / k_{18} + x_{27} / k_{11} + x_{28} / k_{19} + x_{32} / k_{12} + x_{33} / k_{20} + x_{37} / k_{13} + x_{38} / k_{21}\right) \cdot \left(1 + x_{50} / k_{15} + k_{222} / k_{23}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{191} \cdot k_{63} \cdot \left(x_{43} \cdot \left(k_{223} - k_{220}\right) / \left(k_{65} \cdot k_{66}\right) - x_{44} \cdot k_{220} / \left(k_{65} \cdot k_{66} \cdot k_{70}\right)\right) / \left(\left(1 + x_{43} / k_{65} + x_{44} / k_{68} + x_{38} / k_{64} + x_{39} / k_{67}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{66} + k_{220} / k_{69}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{192} \cdot k_{106} \cdot \left(x_{41} \cdot x_{50} / \left(k_{112} \cdot k_{114}\right) - x_{43} \cdot x_{47} / \left(k_{112} \cdot k_{114} \cdot k_{123}\right)\right) / \left(\left(1 + x_{41} / k_{112} + x_{43} / k_{121} + k_{209} / k_{107} + x_{13} / k_{116} + k_{211} / k_{108} + x_{18} / k_{115} + k_{213} / k_{109} + x_{23} / k_{117} + k_{215} / k_{110} + x_{28} / k_{118} + k_{217} / k_{111} + x_{33} / k_{119} + x_{46} / k_{113} + x_{38} / k_{120} + x_{47} / k_{122}\right) \cdot \left(1 + x_{50} / k_{114} + x_{47} / k_{122}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{44}}{dt} = \left(1 \cdot k_{142} \cdot k_{191} \cdot k_{63} \cdot \left(x_{43} \cdot \left(k_{223} - k_{220}\right) / \left(k_{65} \cdot k_{66}\right) - x_{44} \cdot k_{220} / \left(k_{65} \cdot k_{66} \cdot k_{70}\right)\right) / \left(\left(1 + x_{43} / k_{65} + x_{44} / k_{68} + x_{38} / k_{64} + x_{39} / k_{67}\right) \cdot \left(1 + \left(k_{223} - k_{220}\right) / k_{66} + k_{220} / k_{69}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{203} \cdot k_{71} \cdot k_{204} \cdot k_{88} \cdot \left(x_{44} \cdot k_{226} / \left(k_{78} \cdot k_{95} \cdot k_{96}\right) - x_{46} \cdot k_{221} / \left(k_{78} \cdot k_{95} \cdot k_{96} \cdot k_{87} \cdot k_{105}\right)\right) / \left(k_{203} \cdot k_{71} \cdot \left(1 + x_{46} / k_{103} + x_{41} / k_{102}\right) \cdot \left(1 + k_{226} / k_{96} + k_{221} / k_{104}\right) / \left(k_{78} \cdot k_{87}\right) + k_{204} \cdot k_{88} \cdot k_{226} \cdot \left(1 + x_{44} / k_{78} + x_{39} / k_{77} + x_{46} / k_{86}\right) / \left(k_{95} \cdot k_{96}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{45}}{dt} = 0\\
\frac{dx_{46}}{dt} = \left(-1 \cdot k_{142} \cdot k_{193} \cdot k_{106} \cdot \left(x_{46} \cdot x_{50} / \left(k_{113} \cdot k_{114}\right) - x_{47} \cdot x_{47} / \left(k_{113} \cdot k_{114} \cdot k_{123}\right)\right) / \left(\left(1 + x_{46} / k_{113} + x_{43} / k_{121} + k_{209} / k_{107} + x_{13} / k_{116} + k_{211} / k_{108} + x_{18} / k_{115} + k_{213} / k_{109} + x_{23} / k_{117} + k_{215} / k_{110} + x_{28} / k_{118} + k_{217} / k_{111} + x_{33} / k_{119} + x_{41} / k_{112} + x_{38} / k_{120} + x_{47} / k_{122}\right) \cdot \left(1 + x_{50} / k_{114} + x_{47} / k_{122}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{203} \cdot k_{71} \cdot k_{204} \cdot k_{88} \cdot \left(x_{44} \cdot k_{226} / \left(k_{78} \cdot k_{95} \cdot k_{96}\right) - x_{46} \cdot k_{221} / \left(k_{78} \cdot k_{95} \cdot k_{96} \cdot k_{87} \cdot k_{105}\right)\right) / \left(k_{203} \cdot k_{71} \cdot \left(1 + x_{46} / k_{103} + x_{41} / k_{102}\right) \cdot \left(1 + k_{226} / k_{96} + k_{221} / k_{104}\right) / \left(k_{78} \cdot k_{87}\right) + k_{204} \cdot k_{88} \cdot k_{226} \cdot \left(1 + x_{44} / k_{78} + x_{39} / k_{77} + x_{46} / k_{86}\right) / \left(k_{95} \cdot k_{96}\right)\right) / k_{142}\right) / k_{142}\\
\frac{dx_{47}}{dt} = \left(1 \cdot k_{142} \cdot k_{192} \cdot k_{106} \cdot \left(x_{41} \cdot x_{50} / \left(k_{112} \cdot k_{114}\right) - x_{43} \cdot x_{47} / \left(k_{112} \cdot k_{114} \cdot k_{123}\right)\right) / \left(\left(1 + x_{41} / k_{112} + x_{43} / k_{121} + k_{209} / k_{107} + x_{13} / k_{116} + k_{211} / k_{108} + x_{18} / k_{115} + k_{213} / k_{109} + x_{23} / k_{117} + k_{215} / k_{110} + x_{28} / k_{118} + k_{217} / k_{111} + x_{33} / k_{119} + x_{46} / k_{113} + x_{38} / k_{120} + x_{47} / k_{122}\right) \cdot \left(1 + x_{50} / k_{114} + x_{47} / k_{122}\right)\right) / k_{142} + 2 \cdot k_{142} \cdot k_{193} \cdot k_{106} \cdot \left(x_{46} \cdot x_{50} / \left(k_{113} \cdot k_{114}\right) - x_{47} \cdot x_{47} / \left(k_{113} \cdot k_{114} \cdot k_{123}\right)\right) / \left(\left(1 + x_{46} / k_{113} + x_{43} / k_{121} + k_{209} / k_{107} + x_{13} / k_{116} + k_{211} / k_{108} + x_{18} / k_{115} + k_{213} / k_{109} + x_{23} / k_{117} + k_{215} / k_{110} + x_{28} / k_{118} + k_{217} / k_{111} + x_{33} / k_{119} + x_{41} / k_{112} + x_{38} / k_{120} + x_{47} / k_{122}\right) \cdot \left(1 + x_{50} / k_{114} + x_{47} / k_{122}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{194} \cdot k_{124} \cdot \left(x_{14} \cdot \left(k_{224} - k_{221}\right) \cdot x_{50} / \left(k_{125} \cdot k_{130} \cdot k_{131}\right) - x_{18} \cdot k_{221} \cdot x_{47} / \left(k_{125} \cdot k_{130} \cdot k_{131} \cdot k_{140}\right)\right) / \left(\left(1 + x_{14} / k_{125} + x_{18} / k_{132} + x_{19} / k_{126} + x_{13} / k_{133} + x_{24} / k_{127} + x_{23} / k_{134} + x_{29} / k_{128} + x_{28} / k_{135} + x_{34} / k_{129} + x_{33} / k_{136} + x_{38} / k_{137} + x_{46} / k_{86}\right) \cdot \left(1 + \left(k_{224} - k_{221}\right) / k_{130} + k_{221} / k_{138}\right) \cdot \left(1 + x_{50} / k_{131} + x_{47} / k_{139}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{195} \cdot k_{124} \cdot \left(x_{19} \cdot \left(k_{224} - k_{221}\right) \cdot x_{50} / \left(k_{126} \cdot k_{130} \cdot k_{131}\right) - x_{23} \cdot k_{221} \cdot x_{47} / \left(k_{126} \cdot k_{130} \cdot k_{131} \cdot k_{140}\right)\right) / \left(\left(1 + x_{19} / k_{126} + x_{23} / k_{134} + x_{14} / k_{125} + x_{13} / k_{133} + x_{24} / k_{127} + x_{18} / k_{132} + x_{29} / k_{128} + x_{28} / k_{135} + x_{34} / k_{129} + x_{33} / k_{136} + x_{38} / k_{137} + x_{46} / k_{86}\right) \cdot \left(1 + \left(k_{224} - k_{221}\right) / k_{130} + k_{221} / k_{138}\right) \cdot \left(1 + x_{50} / k_{131} + x_{47} / k_{139}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{196} \cdot k_{124} \cdot \left(x_{24} \cdot \left(k_{224} - k_{221}\right) \cdot x_{50} / \left(k_{127} \cdot k_{130} \cdot k_{131}\right) - x_{28} \cdot k_{221} \cdot x_{47} / \left(k_{127} \cdot k_{130} \cdot k_{131} \cdot k_{140}\right)\right) / \left(\left(1 + x_{24} / k_{127} + x_{28} / k_{135} + x_{14} / k_{125} + x_{13} / k_{133} + x_{19} / k_{126} + x_{18} / k_{132} + x_{29} / k_{128} + x_{23} / k_{134} + x_{34} / k_{129} + x_{33} / k_{136} + x_{38} / k_{137} + x_{46} / k_{86}\right) \cdot \left(1 + \left(k_{224} - k_{221}\right) / k_{130} + k_{221} / k_{138}\right) \cdot \left(1 + x_{50} / k_{131} + x_{47} / k_{139}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{197} \cdot k_{124} \cdot \left(x_{29} \cdot \left(k_{224} - k_{221}\right) \cdot x_{50} / \left(k_{128} \cdot k_{130} \cdot k_{131}\right) - x_{33} \cdot k_{221} \cdot x_{47} / \left(k_{128} \cdot k_{130} \cdot k_{131} \cdot k_{140}\right)\right) / \left(\left(1 + x_{29} / k_{128} + x_{33} / k_{136} + x_{14} / k_{125} + x_{13} / k_{133} + x_{19} / k_{126} + x_{18} / k_{132} + x_{24} / k_{127} + x_{23} / k_{134} + x_{34} / k_{129} + x_{28} / k_{135} + x_{38} / k_{137} + x_{46} / k_{86}\right) \cdot \left(1 + \left(k_{224} - k_{221}\right) / k_{130} + k_{221} / k_{138}\right) \cdot \left(1 + x_{50} / k_{131} + x_{47} / k_{139}\right)\right) / k_{142} + 1 \cdot k_{142} \cdot k_{198} \cdot k_{124} \cdot \left(x_{34} \cdot \left(k_{224} - k_{221}\right) \cdot x_{50} / \left(k_{129} \cdot k_{130} \cdot k_{131}\right) - x_{38} \cdot k_{221} \cdot x_{47} / \left(k_{129} \cdot k_{130} \cdot k_{131} \cdot k_{140}\right)\right) / \left(\left(1 + x_{34} / k_{129} + x_{38} / k_{137} + x_{14} / k_{125} + x_{13} / k_{133} + x_{19} / k_{126} + x_{18} / k_{132} + x_{24} / k_{127} + x_{23} / k_{134} + x_{29} / k_{128} + x_{28} / k_{135} + x_{33} / k_{136} + x_{46} / k_{86}\right) \cdot \left(1 + \left(k_{224} - k_{221}\right) / k_{130} + k_{221} / k_{138}\right) \cdot \left(1 + x_{50} / k_{131} + x_{47} / k_{139}\right)\right) / k_{142} + -1 \cdot k_{142} \cdot k_{200} \cdot \left(x_{47} - k_{199}\right) / k_{142}\right) / k_{142}\\
\frac{dx_{48}}{dt} = 0\\
\frac{dx_{49}}{dt} = 0\\
\frac{dx_{51}}{dt} = 0\\
\frac{dx_{52}}{dt} = 0\\
\frac{dx_{53}}{dt} = 0\\
\frac{dx_{54}}{dt} = 0\\
\frac{dx_{55}}{dt} = 0