\frac{dx_{1}}{dt} = \left(1 \cdot k_{1} \cdot k_{4} \cdot k_{96} \cdot k_{95} / \left(k_{3} \cdot k_{2} + k_{3} \cdot k_{96} + k_{2} \cdot k_{95} + k_{96} \cdot k_{95}\right) + -1 \cdot k_{1} \cdot k_{6} \cdot x_{1} / \left(k_{5} + x_{1}\right)\right) / k_{1}\\ \frac{dx_{2}}{dt} = 0\\ \frac{dx_{3}}{dt} = \left(1 \cdot k_{1} \cdot k_{4} \cdot k_{96} \cdot k_{95} / \left(k_{3} \cdot k_{2} + k_{3} \cdot k_{96} + k_{2} \cdot k_{95} + k_{96} \cdot k_{95}\right) + 1 \cdot k_{1} \cdot k_{6} \cdot x_{1} / \left(k_{5} + x_{1}\right) + 1 \cdot k_{1} \cdot k_{14} \cdot x_{7} \cdot k_{104} / \left(k_{13} \cdot k_{12} + k_{13} \cdot k_{104} + k_{12} \cdot x_{7} + x_{7} \cdot k_{104}\right) + 1 \cdot k_{1} \cdot k_{17} \cdot x_{8} \cdot k_{95} / \left(k_{15} \cdot k_{16} + k_{15} \cdot k_{95} + k_{16} \cdot x_{8} + k_{95} \cdot x_{8}\right) + 1 \cdot k_{1} \cdot k_{19} \cdot x_{9} / \left(k_{18} + x_{9}\right) + 1 \cdot k_{1} \cdot k_{29} \cdot x_{16} / \left(k_{28} + x_{16}\right) + 1 \cdot k_{1} \cdot k_{31} \cdot x_{16} / \left(k_{30} + x_{16}\right) + 1 \cdot k_{1} \cdot k_{38} \cdot x_{22} \cdot x_{12} \cdot k_{104} / \left(k_{36} \cdot k_{37} \cdot k_{35} + k_{36} \cdot \left(x_{12} + k_{104}\right) + k_{37} \cdot \left(x_{22} + k_{104}\right) + k_{35} \cdot \left(x_{12} + k_{104}\right) + x_{22} \cdot x_{12} \cdot k_{104}\right) + 1 \cdot k_{1} \cdot k_{46} \cdot x_{24} \cdot x_{12} \cdot k_{104} / \left(k_{45} \cdot \left(1 + x_{23} / k_{44}\right) \cdot k_{43} \cdot k_{42} + k_{45} \cdot \left(x_{12} + k_{104}\right) + k_{43} \cdot \left(x_{24} + k_{104}\right) + k_{42} \cdot \left(x_{24} + x_{12}\right) + x_{24} \cdot x_{12} \cdot k_{104}\right) + 1 \cdot k_{1} \cdot k_{83} \cdot x_{21} \cdot x_{15} / \left(k_{81} \cdot k_{82} + k_{82} \cdot x_{21} + k_{81} \cdot x_{15} + x_{21} \cdot x_{15}\right) + -1 \cdot k_{1} \cdot k_{87} \cdot x_{35} \cdot x_{39} \cdot x_{3} / \left(k_{86} \cdot k_{85} \cdot k_{84} + k_{86} \cdot \left(x_{39} + x_{3}\right) + k_{85} \cdot \left(x_{35} + x_{3}\right) + k_{84} \cdot \left(x_{39} + x_{35}\right) + x_{35} \cdot x_{39} \cdot x_{3}\right) + 1 \cdot k_{1} \cdot k_{94} \cdot k_{104} \cdot x_{51} / \left(k_{92} \cdot k_{93} + k_{92} \cdot x_{51} + k_{93} \cdot k_{104} + k_{104} \cdot x_{51}\right)\right) / k_{1}\\ \frac{dx_{4}}{dt} = \left(1 \cdot k_{1} \cdot k_{6} \cdot x_{1} / \left(k_{5} + x_{1}\right) + -1 \cdot k_{1} \cdot k_{8} \cdot x_{4} / \left(k_{7} + x_{4}\right)\right) / k_{1}\\ \frac{dx_{5}}{dt} = 0\\ \frac{dx_{6}}{dt} = \left(1 \cdot k_{1} \cdot k_{8} \cdot x_{4} / \left(k_{7} + x_{4}\right) + -1 \cdot k_{1} \cdot k_{11} \cdot x_{6} \cdot k_{105} / \left(k_{9} \cdot k_{10} + k_{9} \cdot k_{105} + k_{10} \cdot x_{6} + x_{6} \cdot k_{105}\right)\right) / k_{1}\\ \frac{dx_{7}}{dt} = \left(1 \cdot k_{1} \cdot k_{11} \cdot x_{6} \cdot k_{105} / \left(k_{9} \cdot k_{10} + k_{9} \cdot k_{105} + k_{10} \cdot x_{6} + x_{6} \cdot k_{105}\right) + -1 \cdot k_{1} \cdot k_{14} \cdot x_{7} \cdot k_{104} / \left(k_{13} \cdot k_{12} + k_{13} \cdot k_{104} + k_{12} \cdot x_{7} + x_{7} \cdot k_{104}\right)\right) / k_{1}\\ \frac{dx_{8}}{dt} = \left(1 \cdot k_{1} \cdot k_{14} \cdot x_{7} \cdot k_{104} / \left(k_{13} \cdot k_{12} + k_{13} \cdot k_{104} + k_{12} \cdot x_{7} + x_{7} \cdot k_{104}\right) + -1 \cdot k_{1} \cdot k_{17} \cdot x_{8} \cdot k_{95} / \left(k_{15} \cdot k_{16} + k_{15} \cdot k_{95} + k_{16} \cdot x_{8} + k_{95} \cdot x_{8}\right)\right) / k_{1}\\ \frac{dx_{9}}{dt} = \left(1 \cdot k_{1} \cdot k_{17} \cdot x_{8} \cdot k_{95} / \left(k_{15} \cdot k_{16} + k_{15} \cdot k_{95} + k_{16} \cdot x_{8} + k_{95} \cdot x_{8}\right) + -1 \cdot k_{1} \cdot k_{19} \cdot x_{9} / \left(k_{18} + x_{9}\right)\right) / k_{1}\\ \frac{dx_{10}}{dt} = \left(1 \cdot k_{1} \cdot k_{19} \cdot x_{9} / \left(k_{18} + x_{9}\right) + -1 \cdot k_{1} \cdot k_{22} \cdot x_{10} \cdot k_{97} / \left(k_{20} \cdot k_{21} + k_{20} \cdot k_{97} + k_{21} \cdot x_{10} + x_{10} \cdot k_{97}\right)\right) / k_{1}\\ \frac{dx_{11}}{dt} = 0\\ \frac{dx_{12}}{dt} = \left(1 \cdot k_{1} \cdot k_{22} \cdot x_{10} \cdot k_{97} / \left(k_{20} \cdot k_{21} + k_{20} \cdot k_{97} + k_{21} \cdot x_{10} + x_{10} \cdot k_{97}\right) + -1 \cdot k_{1} \cdot k_{38} \cdot x_{22} \cdot x_{12} \cdot k_{104} / \left(k_{36} \cdot k_{37} \cdot k_{35} + k_{36} \cdot \left(x_{12} + k_{104}\right) + k_{37} \cdot \left(x_{22} + k_{104}\right) + k_{35} \cdot \left(x_{12} + k_{104}\right) + x_{22} \cdot x_{12} \cdot k_{104}\right) + -1 \cdot k_{1} \cdot k_{46} \cdot x_{24} \cdot x_{12} \cdot k_{104} / \left(k_{45} \cdot \left(1 + x_{23} / k_{44}\right) \cdot k_{43} \cdot k_{42} + k_{45} \cdot \left(x_{12} + k_{104}\right) + k_{43} \cdot \left(x_{24} + k_{104}\right) + k_{42} \cdot \left(x_{24} + x_{12}\right) + x_{24} \cdot x_{12} \cdot k_{104}\right)\right) / k_{1}\\ \frac{dx_{13}}{dt} = \left(1 \cdot k_{1} \cdot k_{22} \cdot x_{10} \cdot k_{97} / \left(k_{20} \cdot k_{21} + k_{20} \cdot k_{97} + k_{21} \cdot x_{10} + x_{10} \cdot k_{97}\right) + -1 \cdot k_{1} \cdot k_{24} \cdot x_{13} / \left(k_{23} + x_{13}\right)\right) / k_{1}\\ \frac{dx_{14}}{dt} = 1 \cdot k_{1} \cdot k_{24} \cdot x_{13} / \left(k_{23} + x_{13}\right) / k_{1}\\ \frac{dx_{15}}{dt} = \left(1 \cdot k_{1} \cdot k_{24} \cdot x_{13} / \left(k_{23} + x_{13}\right) + -1 \cdot k_{1} \cdot k_{83} \cdot x_{21} \cdot x_{15} / \left(k_{81} \cdot k_{82} + k_{82} \cdot x_{21} + k_{81} \cdot x_{15} + x_{21} \cdot x_{15}\right)\right) / k_{1}\\ \frac{dx_{16}}{dt} = \left(1 \cdot k_{1} \cdot k_{27} \cdot k_{98} / \left(k_{25} \cdot \left(1 + x_{24} / k_{26}\right) + k_{98}\right) + -1 \cdot k_{1} \cdot k_{29} \cdot x_{16} / \left(k_{28} + x_{16}\right) + -1 \cdot k_{1} \cdot k_{31} \cdot x_{16} / \left(k_{30} + x_{16}\right)\right) / k_{1}\\ \frac{dx_{17}}{dt} = 0\\ \frac{dx_{18}}{dt} = \left(1 \cdot k_{1} \cdot k_{29} \cdot x_{16} / \left(k_{28} + x_{16}\right) + -1 \cdot k_{1} \cdot k_{34} \cdot k_{104} \cdot x_{18} / \left(k_{32} \cdot k_{33} + k_{33} \cdot k_{104} + k_{32} \cdot x_{18} + k_{104} \cdot x_{18}\right)\right) / k_{1}\\ \frac{dx_{19}}{dt} = 1 \cdot k_{1} \cdot k_{29} \cdot x_{16} / \left(k_{28} + x_{16}\right) / k_{1}\\ \frac{dx_{20}}{dt} = 1 \cdot k_{1} \cdot k_{31} \cdot x_{16} / \left(k_{30} + x_{16}\right) / k_{1}\\ \frac{dx_{21}}{dt} = \left(1 \cdot k_{1} \cdot k_{34} \cdot k_{104} \cdot x_{18} / \left(k_{32} \cdot k_{33} + k_{33} \cdot k_{104} + k_{32} \cdot x_{18} + k_{104} \cdot x_{18}\right) + -1 \cdot k_{1} \cdot k_{83} \cdot x_{21} \cdot x_{15} / \left(k_{81} \cdot k_{82} + k_{82} \cdot x_{21} + k_{81} \cdot x_{15} + x_{21} \cdot x_{15}\right)\right) / k_{1}\\ \frac{dx_{22}}{dt} = \left(-1 \cdot k_{1} \cdot k_{38} \cdot x_{22} \cdot x_{12} \cdot k_{104} / \left(k_{36} \cdot k_{37} \cdot k_{35} + k_{36} \cdot \left(x_{12} + k_{104}\right) + k_{37} \cdot \left(x_{22} + k_{104}\right) + k_{35} \cdot \left(x_{12} + k_{104}\right) + x_{22} \cdot x_{12} \cdot k_{104}\right) + 1 \cdot k_{1} \cdot k_{83} \cdot x_{21} \cdot x_{15} / \left(k_{81} \cdot k_{82} + k_{82} \cdot x_{21} + k_{81} \cdot x_{15} + x_{21} \cdot x_{15}\right)\right) / k_{1}\\ \frac{dx_{23}}{dt} = \left(1 \cdot k_{1} \cdot k_{38} \cdot x_{22} \cdot x_{12} \cdot k_{104} / \left(k_{36} \cdot k_{37} \cdot k_{35} + k_{36} \cdot \left(x_{12} + k_{104}\right) + k_{37} \cdot \left(x_{22} + k_{104}\right) + k_{35} \cdot \left(x_{12} + k_{104}\right) + x_{22} \cdot x_{12} \cdot k_{104}\right) + -1 \cdot k_{1} \cdot k_{41} \cdot x_{23} \cdot k_{105} / \left(k_{39} \cdot k_{40} + k_{39} \cdot k_{105} + k_{40} \cdot x_{23} + x_{23} \cdot k_{105}\right) + 1 \cdot k_{1} \cdot k_{64} \cdot x_{28} \cdot k_{102} / \left(k_{63} \cdot \left(1 + x_{23} / k_{62}\right) \cdot k_{61} + k_{63} \cdot k_{102} + k_{61} \cdot x_{28} + x_{28} \cdot k_{102}\right)\right) / k_{1}\\ \frac{dx_{24}}{dt} = \left(1 \cdot k_{1} \cdot k_{41} \cdot x_{23} \cdot k_{105} / \left(k_{39} \cdot k_{40} + k_{39} \cdot k_{105} + k_{40} \cdot x_{23} + x_{23} \cdot k_{105}\right) + -1 \cdot k_{1} \cdot k_{46} \cdot x_{24} \cdot x_{12} \cdot k_{104} / \left(k_{45} \cdot \left(1 + x_{23} / k_{44}\right) \cdot k_{43} \cdot k_{42} + k_{45} \cdot \left(x_{12} + k_{104}\right) + k_{43} \cdot \left(x_{24} + k_{104}\right) + k_{42} \cdot \left(x_{24} + x_{12}\right) + x_{24} \cdot x_{12} \cdot k_{104}\right)\right) / k_{1}\\ \frac{dx_{25}}{dt} = \left(1 \cdot k_{1} \cdot k_{46} \cdot x_{24} \cdot x_{12} \cdot k_{104} / \left(k_{45} \cdot \left(1 + x_{23} / k_{44}\right) \cdot k_{43} \cdot k_{42} + k_{45} \cdot \left(x_{12} + k_{104}\right) + k_{43} \cdot \left(x_{24} + k_{104}\right) + k_{42} \cdot \left(x_{24} + x_{12}\right) + x_{24} \cdot x_{12} \cdot k_{104}\right) + -1 \cdot k_{1} \cdot k_{50} \cdot x_{25} \cdot k_{100} / \left(k_{49} \cdot \left(1 + x_{24} / k_{47}\right) \cdot k_{48} + k_{49} \cdot k_{100} + k_{48} \cdot x_{25} + x_{25} \cdot k_{100}\right) + 1 \cdot k_{1} \cdot k_{60} \cdot x_{29} \cdot k_{101} / \left(k_{59} \cdot k_{58} + k_{59} \cdot k_{101} + k_{58} \cdot x_{29} + x_{29} \cdot k_{101}\right) + 1 \cdot k_{1} \cdot k_{71} \cdot x_{35} \cdot k_{103} / \left(k_{69} \cdot k_{70} + k_{69} \cdot k_{103} + k_{70} \cdot x_{35} + x_{35} \cdot k_{103}\right) + 1 \cdot k_{1} \cdot k_{74} \cdot x_{35} \cdot x_{41} / \left(k_{72} \cdot k_{73} + k_{72} \cdot x_{41} + k_{73} \cdot x_{35} + x_{35} \cdot x_{41}\right) + -1 \cdot k_{1} \cdot k_{77} \cdot x_{25} \cdot x_{45} / \left(k_{76} \cdot k_{75} + k_{76} \cdot x_{45} + k_{75} \cdot x_{25} + x_{25} \cdot x_{45}\right) + 1 \cdot k_{1} \cdot k_{87} \cdot x_{35} \cdot x_{39} \cdot x_{3} / \left(k_{86} \cdot k_{85} \cdot k_{84} + k_{86} \cdot \left(x_{39} + x_{3}\right) + k_{85} \cdot \left(x_{35} + x_{3}\right) + k_{84} \cdot \left(x_{39} + x_{35}\right) + x_{35} \cdot x_{39} \cdot x_{3}\right)\right) / k_{1}\\ \frac{dx_{26}}{dt} = 0\\ \frac{dx_{27}}{dt} = 0\\ \frac{dx_{28}}{dt} = \left(1 \cdot k_{1} \cdot k_{50} \cdot x_{25} \cdot k_{100} / \left(k_{49} \cdot \left(1 + x_{24} / k_{47}\right) \cdot k_{48} + k_{49} \cdot k_{100} + k_{48} \cdot x_{25} + x_{25} \cdot k_{100}\right) + -1 \cdot k_{1} \cdot k_{57} \cdot x_{28} \cdot k_{105} / \left(k_{55} \cdot \left(1 + x_{23} / k_{54}\right) \cdot k_{56} + k_{55} \cdot k_{105} + k_{56} \cdot x_{28} + x_{28} \cdot k_{105}\right) + -1 \cdot k_{1} \cdot k_{64} \cdot x_{28} \cdot k_{102} / \left(k_{63} \cdot \left(1 + x_{23} / k_{62}\right) \cdot k_{61} + k_{63} \cdot k_{102} + k_{61} \cdot x_{28} + x_{28} \cdot k_{102}\right) + -1 \cdot k_{1} \cdot k_{68} \cdot x_{28} \cdot x_{41} / \left(k_{66} \cdot \left(1 + x_{23} / k_{65}\right) \cdot k_{67} + k_{66} \cdot x_{41} + k_{67} \cdot x_{28} + x_{28} \cdot x_{41}\right) + 1 \cdot k_{1} \cdot k_{77} \cdot x_{25} \cdot x_{45} / \left(k_{76} \cdot k_{75} + k_{76} \cdot x_{45} + k_{75} \cdot x_{25} + x_{25} \cdot x_{45}\right)\right) / k_{1}\\ \frac{dx_{29}}{dt} = \left(1 \cdot k_{1} \cdot k_{57} \cdot x_{28} \cdot k_{105} / \left(k_{55} \cdot \left(1 + x_{23} / k_{54}\right) \cdot k_{56} + k_{55} \cdot k_{105} + k_{56} \cdot x_{28} + x_{28} \cdot k_{105}\right) + -1 \cdot k_{1} \cdot k_{60} \cdot x_{29} \cdot k_{101} / \left(k_{59} \cdot k_{58} + k_{59} \cdot k_{101} + k_{58} \cdot x_{29} + x_{29} \cdot k_{101}\right)\right) / k_{1}\\ \frac{dx_{30}}{dt} = 0\\ \frac{dx_{31}}{dt} = 1 \cdot k_{1} \cdot k_{60} \cdot x_{29} \cdot k_{101} / \left(k_{59} \cdot k_{58} + k_{59} \cdot k_{101} + k_{58} \cdot x_{29} + x_{29} \cdot k_{101}\right) / k_{1}\\ \frac{dx_{32}}{dt} = 1 \cdot k_{1} \cdot k_{64} \cdot x_{28} \cdot k_{102} / \left(k_{63} \cdot \left(1 + x_{23} / k_{62}\right) \cdot k_{61} + k_{63} \cdot k_{102} + k_{61} \cdot x_{28} + x_{28} \cdot k_{102}\right) / k_{1}\\ \frac{dx_{33}}{dt} = 0\\ \frac{dx_{34}}{dt} = \left(1 \cdot k_{1} \cdot k_{68} \cdot x_{28} \cdot x_{41} / \left(k_{66} \cdot \left(1 + x_{23} / k_{65}\right) \cdot k_{67} + k_{66} \cdot x_{41} + k_{67} \cdot x_{28} + x_{28} \cdot x_{41}\right) + -1 \cdot k_{1} \cdot \left(k_{88} \cdot x_{34} - k_{89} \cdot x_{35}\right) + -1 \cdot k_{1} \cdot k_{91} \cdot x_{34} / \left(k_{90} + x_{34}\right) + 1 \cdot k_{1} \cdot k_{94} \cdot k_{104} \cdot x_{51} / \left(k_{92} \cdot k_{93} + k_{92} \cdot x_{51} + k_{93} \cdot k_{104} + k_{104} \cdot x_{51}\right)\right) / k_{1}\\ \frac{dx_{35}}{dt} = \left(-1 \cdot k_{1} \cdot k_{71} \cdot x_{35} \cdot k_{103} / \left(k_{69} \cdot k_{70} + k_{69} \cdot k_{103} + k_{70} \cdot x_{35} + x_{35} \cdot k_{103}\right) + -1 \cdot k_{1} \cdot k_{74} \cdot x_{35} \cdot x_{41} / \left(k_{72} \cdot k_{73} + k_{72} \cdot x_{41} + k_{73} \cdot x_{35} + x_{35} \cdot x_{41}\right) + -1 \cdot k_{1} \cdot k_{87} \cdot x_{35} \cdot x_{39} \cdot x_{3} / \left(k_{86} \cdot k_{85} \cdot k_{84} + k_{86} \cdot \left(x_{39} + x_{3}\right) + k_{85} \cdot \left(x_{35} + x_{3}\right) + k_{84} \cdot \left(x_{39} + x_{35}\right) + x_{35} \cdot x_{39} \cdot x_{3}\right) + 1 \cdot k_{1} \cdot \left(k_{88} \cdot x_{34} - k_{89} \cdot x_{35}\right)\right) / k_{1}\\ \frac{dx_{36}}{dt} = 1 \cdot k_{1} \cdot k_{71} \cdot x_{35} \cdot k_{103} / \left(k_{69} \cdot k_{70} + k_{69} \cdot k_{103} + k_{70} \cdot x_{35} + x_{35} \cdot k_{103}\right) / k_{1}\\ \frac{dx_{37}}{dt} = 0\\ \frac{dx_{38}}{dt} = \left(1 \cdot k_{1} \cdot k_{53} \cdot x_{44} \cdot k_{99} / \left(k_{52} \cdot k_{51} + k_{52} \cdot k_{99} + k_{51} \cdot x_{44} + x_{44} \cdot k_{99}\right) + 1 \cdot k_{1} \cdot k_{74} \cdot x_{35} \cdot x_{41} / \left(k_{72} \cdot k_{73} + k_{72} \cdot x_{41} + k_{73} \cdot x_{35} + x_{35} \cdot x_{41}\right)\right) / k_{1}\\ \frac{dx_{39}}{dt} = \left(1 \cdot k_{1} \cdot k_{14} \cdot x_{7} \cdot k_{104} / \left(k_{13} \cdot k_{12} + k_{13} \cdot k_{104} + k_{12} \cdot x_{7} + x_{7} \cdot k_{104}\right) + 1 \cdot k_{1} \cdot k_{38} \cdot x_{22} \cdot x_{12} \cdot k_{104} / \left(k_{36} \cdot k_{37} \cdot k_{35} + k_{36} \cdot \left(x_{12} + k_{104}\right) + k_{37} \cdot \left(x_{22} + k_{104}\right) + k_{35} \cdot \left(x_{12} + k_{104}\right) + x_{22} \cdot x_{12} \cdot k_{104}\right) + 1 \cdot k_{1} \cdot k_{46} \cdot x_{24} \cdot x_{12} \cdot k_{104} / \left(k_{45} \cdot \left(1 + x_{23} / k_{44}\right) \cdot k_{43} \cdot k_{42} + k_{45} \cdot \left(x_{12} + k_{104}\right) + k_{43} \cdot \left(x_{24} + k_{104}\right) + k_{42} \cdot \left(x_{24} + x_{12}\right) + x_{24} \cdot x_{12} \cdot k_{104}\right) + -1 \cdot k_{1} \cdot k_{87} \cdot x_{35} \cdot x_{39} \cdot x_{3} / \left(k_{86} \cdot k_{85} \cdot k_{84} + k_{86} \cdot \left(x_{39} + x_{3}\right) + k_{85} \cdot \left(x_{35} + x_{3}\right) + k_{84} \cdot \left(x_{39} + x_{35}\right) + x_{35} \cdot x_{39} \cdot x_{3}\right) + 1 \cdot k_{1} \cdot k_{94} \cdot k_{104} \cdot x_{51} / \left(k_{92} \cdot k_{93} + k_{92} \cdot x_{51} + k_{93} \cdot k_{104} + k_{104} \cdot x_{51}\right)\right) / k_{1}\\ \frac{dx_{40}}{dt} = 0\\ \frac{dx_{41}}{dt} = \left(1 \cdot k_{1} \cdot k_{11} \cdot x_{6} \cdot k_{105} / \left(k_{9} \cdot k_{10} + k_{9} \cdot k_{105} + k_{10} \cdot x_{6} + x_{6} \cdot k_{105}\right) + 1 \cdot k_{1} \cdot k_{41} \cdot x_{23} \cdot k_{105} / \left(k_{39} \cdot k_{40} + k_{39} \cdot k_{105} + k_{40} \cdot x_{23} + x_{23} \cdot k_{105}\right) + 1 \cdot k_{1} \cdot k_{57} \cdot x_{28} \cdot k_{105} / \left(k_{55} \cdot \left(1 + x_{23} / k_{54}\right) \cdot k_{56} + k_{55} \cdot k_{105} + k_{56} \cdot x_{28} + x_{28} \cdot k_{105}\right) + -1 \cdot k_{1} \cdot k_{68} \cdot x_{28} \cdot x_{41} / \left(k_{66} \cdot \left(1 + x_{23} / k_{65}\right) \cdot k_{67} + k_{66} \cdot x_{41} + k_{67} \cdot x_{28} + x_{28} \cdot x_{41}\right) + -1 \cdot k_{1} \cdot k_{74} \cdot x_{35} \cdot x_{41} / \left(k_{72} \cdot k_{73} + k_{72} \cdot x_{41} + k_{73} \cdot x_{35} + x_{35} \cdot x_{41}\right)\right) / k_{1}\\ \frac{dx_{42}}{dt} = 0\\ \frac{dx_{43}}{dt} = 1 \cdot k_{1} \cdot k_{34} \cdot k_{104} \cdot x_{18} / \left(k_{32} \cdot k_{33} + k_{33} \cdot k_{104} + k_{32} \cdot x_{18} + k_{104} \cdot x_{18}\right) / k_{1}\\ \frac{dx_{44}}{dt} = \left(-1 \cdot k_{1} \cdot k_{53} \cdot x_{44} \cdot k_{99} / \left(k_{52} \cdot k_{51} + k_{52} \cdot k_{99} + k_{51} \cdot x_{44} + x_{44} \cdot k_{99}\right) + 1 \cdot k_{1} \cdot k_{80} \cdot k_{107} \cdot k_{106} / \left(k_{79} \cdot k_{78} + k_{79} \cdot k_{106} + k_{78} \cdot k_{107} + k_{107} \cdot k_{106}\right)\right) / k_{1}\\ \frac{dx_{45}}{dt} = \left(1 \cdot k_{1} \cdot k_{53} \cdot x_{44} \cdot k_{99} / \left(k_{52} \cdot k_{51} + k_{52} \cdot k_{99} + k_{51} \cdot x_{44} + x_{44} \cdot k_{99}\right) + -1 \cdot k_{1} \cdot k_{77} \cdot x_{25} \cdot x_{45} / \left(k_{76} \cdot k_{75} + k_{76} \cdot x_{45} + k_{75} \cdot x_{25} + x_{25} \cdot x_{45}\right)\right) / k_{1}\\ \frac{dx_{46}}{dt} = 0\\ \frac{dx_{47}}{dt} = 1 \cdot k_{1} \cdot k_{80} \cdot k_{107} \cdot k_{106} / \left(k_{79} \cdot k_{78} + k_{79} \cdot k_{106} + k_{78} \cdot k_{107} + k_{107} \cdot k_{106}\right) / k_{1}\\ \frac{dx_{48}}{dt} = 0\\ \frac{dx_{49}}{dt} = 1 \cdot k_{1} \cdot k_{77} \cdot x_{25} \cdot x_{45} / \left(k_{76} \cdot k_{75} + k_{76} \cdot x_{45} + k_{75} \cdot x_{25} + x_{25} \cdot x_{45}\right) / k_{1}\\ \frac{dx_{50}}{dt} = \left(1 \cdot k_{1} \cdot k_{27} \cdot k_{98} / \left(k_{25} \cdot \left(1 + x_{24} / k_{26}\right) + k_{98}\right) + 1 \cdot k_{1} \cdot k_{87} \cdot x_{35} \cdot x_{39} \cdot x_{3} / \left(k_{86} \cdot k_{85} \cdot k_{84} + k_{86} \cdot \left(x_{39} + x_{3}\right) + k_{85} \cdot \left(x_{35} + x_{3}\right) + k_{84} \cdot \left(x_{39} + x_{35}\right) + x_{35} \cdot x_{39} \cdot x_{3}\right)\right) / k_{1}\\ \frac{dx_{51}}{dt} = \left(1 \cdot k_{1} \cdot k_{91} \cdot x_{34} / \left(k_{90} + x_{34}\right) + -1 \cdot k_{1} \cdot k_{94} \cdot k_{104} \cdot x_{51} / \left(k_{92} \cdot k_{93} + k_{92} \cdot x_{51} + k_{93} \cdot k_{104} + k_{104} \cdot x_{51}\right)\right) / k_{1}