\frac{dx_{1}}{dt} = \left(1 \cdot k_{87} \cdot \frac{2303}{100} \cdot k_{28} \cdot \left(k_{188} - x_{1} / k_{88}\right) / \left(k_{89} \cdot \left(1 + x_{1} / k_{90}\right) + k_{188}\right) + -1 \cdot k_{87} \cdot \frac{1737}{20} \cdot k_{28} / \left(k_{91} \cdot k_{92}\right) \cdot \left(x_{1} \cdot x_{4} - x_{2} \cdot x_{3} / k_{93}\right) / \left(1 + x_{1} / k_{91} + x_{4} / k_{92} + x_{1} \cdot x_{4} / \left(k_{91} \cdot k_{92}\right) + x_{2} / k_{94} + x_{3} / k_{95} + x_{2} \cdot x_{3} / \left(k_{94} \cdot k_{95}\right) + x_{1} \cdot x_{3} / \left(k_{91} \cdot k_{95}\right) + x_{2} \cdot x_{4} / \left(k_{94} \cdot k_{92}\right)\right)\right) / k_{87}\\ \frac{dx_{2}}{dt} = \left(1 \cdot k_{87} \cdot \frac{1737}{20} \cdot k_{28} / \left(k_{91} \cdot k_{92}\right) \cdot \left(x_{1} \cdot x_{4} - x_{2} \cdot x_{3} / k_{93}\right) / \left(1 + x_{1} / k_{91} + x_{4} / k_{92} + x_{1} \cdot x_{4} / \left(k_{91} \cdot k_{92}\right) + x_{2} / k_{94} + x_{3} / k_{95} + x_{2} \cdot x_{3} / \left(k_{94} \cdot k_{95}\right) + x_{1} \cdot x_{3} / \left(k_{91} \cdot k_{95}\right) + x_{2} \cdot x_{4} / \left(k_{94} \cdot k_{92}\right)\right) + -1 \cdot k_{87} \cdot \left(7778 \cdot k_{28} \cdot x_{2} / k_{82} - 7778 \cdot k_{28} \cdot k_{81} / \left(k_{82} \cdot k_{14}\right) \cdot x_{5} / k_{81}\right) / \left(1 + x_{2} / k_{82} + x_{5} / k_{81} + x_{7} / k_{96} + x_{6} / k_{97} + x_{8} / k_{98}\right) + -1 \cdot k_{87} \cdot \frac{126}{125} \cdot k_{28} / k_{99} / k_{100} \cdot \left(x_{2} \cdot x_{10} - x_{8} \cdot x_{11} / k_{101}\right) / \left(1 + x_{10} \cdot \left(1 + x_{2} / k_{99}\right) / k_{100} + x_{4} / k_{102} + x_{11} / k_{103} + x_{12} / k_{104}\right) + 1 \cdot k_{87} \cdot \left(k_{55} \cdot x_{22} / k_{57} - k_{55} \cdot k_{56} / \left(k_{57} \cdot k_{16}\right) \cdot x_{2} / k_{56}\right) / \left(1 + x_{22} / k_{57} + x_{2} / k_{56}\right)\right) / k_{87}\\ \frac{dx_{4}}{dt} = \left(-1 \cdot k_{87} \cdot \frac{1737}{20} \cdot k_{28} / \left(k_{91} \cdot k_{92}\right) \cdot \left(x_{1} \cdot x_{4} - x_{2} \cdot x_{3} / k_{93}\right) / \left(1 + x_{1} / k_{91} + x_{4} / k_{92} + x_{1} \cdot x_{4} / \left(k_{91} \cdot k_{92}\right) + x_{2} / k_{94} + x_{3} / k_{95} + x_{2} \cdot x_{3} / \left(k_{94} \cdot k_{95}\right) + x_{1} \cdot x_{3} / \left(k_{91} \cdot k_{95}\right) + x_{2} \cdot x_{4} / \left(k_{94} \cdot k_{92}\right)\right) + -1 \cdot k_{87} \cdot k_{145} \cdot \left(x_{15} \cdot x_{4} - k_{190} \cdot k_{189} / k_{146}\right) / \left(\left(k_{147} + x_{4}\right) \cdot \left(k_{148} + x_{15}\right)\right) + 1 \cdot k_{87} \cdot \left(\frac{7341}{100} \cdot k_{28} \cdot x_{12} \cdot x_{3} / \left(k_{151} \cdot k_{51} \cdot k_{52}\right) - \frac{7341}{100} \cdot k_{28} \cdot k_{49} \cdot k_{50} / \left(k_{51} \cdot k_{52} \cdot k_{20}\right) \cdot x_{28} \cdot x_{4} / \left(k_{152} \cdot k_{49} \cdot k_{50}\right)\right) / \left(1 + x_{12} / k_{51} + x_{3} / k_{52} + x_{12} \cdot x_{3} / \left(k_{151} \cdot k_{51} \cdot k_{52}\right) + x_{28} \cdot x_{4} / \left(k_{152} \cdot k_{49} \cdot k_{50}\right) + x_{28} / k_{49} + x_{4} / k_{50}\right) + -1 \cdot k_{87} \cdot 32040 \cdot k_{28} / k_{157} \cdot k_{17} \cdot x_{22} \cdot k_{17} \cdot x_{4} \cdot k_{17} \cdot k_{192} \cdot \left(1 - k_{17} \cdot k_{191}^{2} \cdot k_{17} \cdot x_{3} / \left(k_{17} \cdot x_{22} \cdot k_{17} \cdot x_{4} \cdot k_{158}\right)\right) / \left(1 + k_{17} \cdot x_{22} \cdot k_{17} \cdot x_{4} \cdot k_{17} \cdot k_{192} / k_{157} + k_{17} \cdot k_{192} \cdot k_{17} \cdot k_{191}^{2} \cdot k_{17} \cdot x_{3} / k_{159}\right) + -1 \cdot k_{87} \cdot \frac{538}{5} \cdot k_{28} \cdot k_{17} \cdot x_{4} / k_{160} / \left(1 + k_{17} \cdot x_{4} / k_{160}\right) \cdot \left(1 + k_{161} \cdot k_{17} \cdot k_{194} / \left(k_{162} \cdot k_{163}\right)\right) / \left(1 + k_{17} \cdot k_{194} / \left(k_{162} \cdot k_{163}\right)\right) \cdot \left(k_{17} \cdot x_{5} \cdot \left(1 + k_{17} \cdot k_{194} / \left(k_{162} \cdot k_{163}\right)\right) / \left(k_{164} \cdot \left(1 + k_{17} \cdot k_{194} / k_{163}\right)\right) \cdot 1 + k_{17} \cdot x_{5} \cdot \left(1 + k_{17} \cdot k_{194} / \left(k_{162} \cdot k_{163}\right)\right) / \left(k_{164} \cdot \left(1 + k_{17} \cdot k_{194} / k_{163}\right)\right)^{3} / \left(k_{165} \cdot 1 + k_{17} \cdot k_{193} / k_{166}^{4} \cdot 1 + k_{17} \cdot x_{4} / k_{167}^{4} / 1 + k_{17} \cdot k_{194} / k_{163}^{4} + 1 + k_{17} \cdot x_{5} \cdot \left(1 + k_{17} \cdot k_{194} / \left(k_{162} \cdot k_{163}\right)\right) / \left(k_{164} \cdot \left(1 + k_{17} \cdot k_{194} / k_{163}\right)\right)^{4}\right) - k_{17} \cdot x_{3} \cdot k_{17} \cdot x_{6} / \left(k_{168} \cdot k_{169} \cdot k_{170}\right) / \left(k_{17} \cdot x_{3} / k_{168} + k_{17} \cdot x_{6} / k_{169} + k_{17} \cdot x_{3} \cdot k_{17} \cdot x_{6} / \left(k_{168} \cdot k_{169}\right) + 1\right)\right) + 1 \cdot k_{87} \cdot \frac{2781}{100} \cdot k_{28} \cdot \left(k_{17} \cdot x_{3} / k_{171} / \left(1 + k_{17} \cdot x_{3} / k_{171}\right) \cdot k_{17} \cdot x_{30} / k_{172} \cdot 1 + k_{17} \cdot x_{30} / k_{172}^{3} / \left(k_{173} \cdot 1 + k_{17} \cdot x_{4} / k_{174}^{4} / 1 + k_{17} \cdot x_{6} / k_{175}^{4} + 1 + k_{17} \cdot x_{30} / k_{172}^{4}\right) - k_{17} \cdot x_{4} \cdot k_{17} \cdot x_{31} / \left(k_{176} \cdot k_{177} \cdot k_{178}\right) / \left(k_{17} \cdot x_{4} / k_{176} + k_{17} \cdot x_{31} / k_{177} + k_{17} \cdot x_{4} \cdot k_{17} \cdot x_{31} / \left(k_{176} \cdot k_{177}\right) + 1\right)\right) + 1 \cdot k_{87} \cdot k_{181} \cdot x_{3}^{2} \cdot \left(1 - x_{4} \cdot k_{189} / k_{182}\right) / \left(1 + x_{3}^{2} + \left(1 + x_{4}\right) \cdot \left(1 + k_{189}\right) - 1\right) + 1 \cdot k_{87} \cdot 9801000 \cdot k_{29} \cdot x_{31}^{1 / k_{185}} \cdot k_{191} \cdot x_{3} \cdot k_{197}^{5 / \left(2 \cdot k_{185}\right)} \cdot \left(1 - x_{4} \cdot k_{196}^{3 / k_{185}} / \left(x_{31}^{1 / k_{185}} \cdot k_{197}^{5 / \left(2 \cdot k_{185}\right)} \cdot k_{191} \cdot x_{3} \cdot k_{186}\right)\right) / \left(1 + x_{31}^{1 / k_{185}} \cdot 1 + k_{197}^{5 / \left(2 \cdot k_{185}\right)} \cdot \left(1 + k_{191}\right) \cdot \left(1 + x_{3}\right) + \left(1 + x_{4}\right) \cdot 1 + k_{196}^{3 / k_{185}} - 1\right) + -1 \cdot k_{87} \cdot k_{187} \cdot x_{4}\right) / k_{87}\\ \frac{dx_{5}}{dt} = \left(1 \cdot k_{87} \cdot \left(7778 \cdot k_{28} \cdot x_{2} / k_{82} - 7778 \cdot k_{28} \cdot k_{81} / \left(k_{82} \cdot k_{14}\right) \cdot x_{5} / k_{81}\right) / \left(1 + x_{2} / k_{82} + x_{5} / k_{81} + x_{7} / k_{96} + x_{6} / k_{97} + x_{8} / k_{98}\right) + 1 \cdot k_{87} \cdot \frac{1761}{10000} \cdot k_{28} \cdot \left(x_{7} \cdot x_{14} - x_{16} \cdot x_{5} / k_{128}\right) / \left(\left(k_{129} + x_{7}\right) \cdot x_{14} + \left(k_{130} + k_{131} \cdot x_{5}\right) \cdot x_{7} + \left(k_{132} + k_{133} \cdot x_{5}\right) \cdot x_{16} + k_{134} \cdot x_{5} + k_{135} \cdot x_{14} \cdot x_{16}\right) + 1 \cdot k_{87} \cdot k_{136} \cdot \left(x_{17} \cdot x_{16} - x_{7} \cdot x_{5} / k_{137}\right) / \left(\left(k_{138} + x_{16}\right) \cdot x_{17} + \left(k_{139} + k_{140} \cdot x_{5}\right) \cdot x_{16} + \left(k_{141} + k_{142} \cdot x_{5}\right) \cdot x_{7} + k_{143} \cdot x_{5} + k_{144} \cdot x_{17} \cdot x_{7}\right) + -1 \cdot k_{87} \cdot \frac{538}{5} \cdot k_{28} \cdot k_{17} \cdot x_{4} / k_{160} / \left(1 + k_{17} \cdot x_{4} / k_{160}\right) \cdot \left(1 + k_{161} \cdot k_{17} \cdot k_{194} / \left(k_{162} \cdot k_{163}\right)\right) / \left(1 + k_{17} \cdot k_{194} / \left(k_{162} \cdot k_{163}\right)\right) \cdot \left(k_{17} \cdot x_{5} \cdot \left(1 + k_{17} \cdot k_{194} / \left(k_{162} \cdot k_{163}\right)\right) / \left(k_{164} \cdot \left(1 + k_{17} \cdot k_{194} / k_{163}\right)\right) \cdot 1 + k_{17} \cdot x_{5} \cdot \left(1 + k_{17} \cdot k_{194} / \left(k_{162} \cdot k_{163}\right)\right) / \left(k_{164} \cdot \left(1 + k_{17} \cdot k_{194} / k_{163}\right)\right)^{3} / \left(k_{165} \cdot 1 + k_{17} \cdot k_{193} / k_{166}^{4} \cdot 1 + k_{17} \cdot x_{4} / k_{167}^{4} / 1 + k_{17} \cdot k_{194} / k_{163}^{4} + 1 + k_{17} \cdot x_{5} \cdot \left(1 + k_{17} \cdot k_{194} / \left(k_{162} \cdot k_{163}\right)\right) / \left(k_{164} \cdot \left(1 + k_{17} \cdot k_{194} / k_{163}\right)\right)^{4}\right) - k_{17} \cdot x_{3} \cdot k_{17} \cdot x_{6} / \left(k_{168} \cdot k_{169} \cdot k_{170}\right) / \left(k_{17} \cdot x_{3} / k_{168} + k_{17} \cdot x_{6} / k_{169} + k_{17} \cdot x_{3} \cdot k_{17} \cdot x_{6} / \left(k_{168} \cdot k_{169}\right) + 1\right)\right)\right) / k_{87}\\ \frac{dx_{6}}{dt} = \left(-1 \cdot k_{87} \cdot \left(\frac{1463}{100} \cdot k_{28} \cdot x_{6} / k_{70} - \frac{1463}{100} \cdot k_{28} \cdot k_{68} \cdot k_{69} / \left(k_{12} \cdot k_{70}\right) \cdot x_{27} \cdot x_{16} / \left(k_{68} \cdot k_{69}\right)\right) / \left(1 + x_{6} / k_{70} + x_{27} / k_{68} + x_{16} / k_{69} + x_{27} \cdot x_{16} / \left(k_{68} \cdot k_{69}\right)\right) + 1 \cdot k_{87} \cdot \frac{538}{5} \cdot k_{28} \cdot k_{17} \cdot x_{4} / k_{160} / \left(1 + k_{17} \cdot x_{4} / k_{160}\right) \cdot \left(1 + k_{161} \cdot k_{17} \cdot k_{194} / \left(k_{162} \cdot k_{163}\right)\right) / \left(1 + k_{17} \cdot k_{194} / \left(k_{162} \cdot k_{163}\right)\right) \cdot \left(k_{17} \cdot x_{5} \cdot \left(1 + k_{17} \cdot k_{194} / \left(k_{162} \cdot k_{163}\right)\right) / \left(k_{164} \cdot \left(1 + k_{17} \cdot k_{194} / k_{163}\right)\right) \cdot 1 + k_{17} \cdot x_{5} \cdot \left(1 + k_{17} \cdot k_{194} / \left(k_{162} \cdot k_{163}\right)\right) / \left(k_{164} \cdot \left(1 + k_{17} \cdot k_{194} / k_{163}\right)\right)^{3} / \left(k_{165} \cdot 1 + k_{17} \cdot k_{193} / k_{166}^{4} \cdot 1 + k_{17} \cdot x_{4} / k_{167}^{4} / 1 + k_{17} \cdot k_{194} / k_{163}^{4} + 1 + k_{17} \cdot x_{5} \cdot \left(1 + k_{17} \cdot k_{194} / \left(k_{162} \cdot k_{163}\right)\right) / \left(k_{164} \cdot \left(1 + k_{17} \cdot k_{194} / k_{163}\right)\right)^{4}\right) - k_{17} \cdot x_{3} \cdot k_{17} \cdot x_{6} / \left(k_{168} \cdot k_{169} \cdot k_{170}\right) / \left(k_{17} \cdot x_{3} / k_{168} + k_{17} \cdot x_{6} / k_{169} + k_{17} \cdot x_{3} \cdot k_{17} \cdot x_{6} / \left(k_{168} \cdot k_{169}\right) + 1\right)\right)\right) / k_{87}\\ \frac{dx_{7}}{dt} = \left(-1 \cdot k_{87} \cdot \frac{1761}{10000} \cdot k_{28} \cdot \left(x_{7} \cdot x_{14} - x_{16} \cdot x_{5} / k_{128}\right) / \left(\left(k_{129} + x_{7}\right) \cdot x_{14} + \left(k_{130} + k_{131} \cdot x_{5}\right) \cdot x_{7} + \left(k_{132} + k_{133} \cdot x_{5}\right) \cdot x_{16} + k_{134} \cdot x_{5} + k_{135} \cdot x_{14} \cdot x_{16}\right) + 1 \cdot k_{87} \cdot k_{136} \cdot \left(x_{17} \cdot x_{16} - x_{7} \cdot x_{5} / k_{137}\right) / \left(\left(k_{138} + x_{16}\right) \cdot x_{17} + \left(k_{139} + k_{140} \cdot x_{5}\right) \cdot x_{16} + \left(k_{141} + k_{142} \cdot x_{5}\right) \cdot x_{7} + k_{143} \cdot x_{5} + k_{144} \cdot x_{17} \cdot x_{7}\right)\right) / k_{87}\\ \frac{dx_{8}}{dt} = \left(1 \cdot k_{87} \cdot \frac{126}{125} \cdot k_{28} / k_{99} / k_{100} \cdot \left(x_{2} \cdot x_{10} - x_{8} \cdot x_{11} / k_{101}\right) / \left(1 + x_{10} \cdot \left(1 + x_{2} / k_{99}\right) / k_{100} + x_{4} / k_{102} + x_{11} / k_{103} + x_{12} / k_{104}\right) + -1 \cdot k_{87} \cdot \frac{1551}{50} \cdot k_{28} / k_{105} / k_{106} \cdot \left(x_{8} \cdot x_{10} - x_{13} \cdot x_{11} / k_{107}\right) / \left(\left(1 + x_{10} / k_{106}\right) \cdot \left(1 + x_{8} / k_{105} + x_{12} / k_{108}\right) + x_{4} / k_{109} + x_{11} \cdot \left(1 + x_{8} / k_{110}\right) / k_{111}\right)\right) / k_{87}\\ \frac{dx_{9}}{dt} = 0\\ \frac{dx_{11}}{dt} = \left(1 \cdot k_{87} \cdot \frac{126}{125} \cdot k_{28} / k_{99} / k_{100} \cdot \left(x_{2} \cdot x_{10} - x_{8} \cdot x_{11} / k_{101}\right) / \left(1 + x_{10} \cdot \left(1 + x_{2} / k_{99}\right) / k_{100} + x_{4} / k_{102} + x_{11} / k_{103} + x_{12} / k_{104}\right) + 1 \cdot k_{87} \cdot \frac{1551}{50} \cdot k_{28} / k_{105} / k_{106} \cdot \left(x_{8} \cdot x_{10} - x_{13} \cdot x_{11} / k_{107}\right) / \left(\left(1 + x_{10} / k_{106}\right) \cdot \left(1 + x_{8} / k_{105} + x_{12} / k_{108}\right) + x_{4} / k_{109} + x_{11} \cdot \left(1 + x_{8} / k_{110}\right) / k_{111}\right) + -1 \cdot k_{87} \cdot 127800 \cdot k_{28} \cdot x_{11} \cdot \left(1 - x_{10} / \left(x_{11} \cdot k_{184}\right)\right) / \left(1 + x_{11} + 1 + x_{10} - 1\right)\right) / k_{87}\\ \frac{dx_{12}}{dt} = \left(1 \cdot k_{87} \cdot \left(\frac{1091}{10} \cdot k_{28} \cdot x_{19} \cdot x_{16} \cdot k_{191} / \left(k_{76} \cdot k_{75} \cdot k_{77}\right) - \frac{1091}{10} \cdot k_{28} \cdot k_{73} \cdot k_{74} / \left(k_{75} \cdot k_{76} \cdot k_{77} \cdot k_{19}\right) \cdot x_{12} \cdot x_{18} / \left(k_{73} \cdot k_{74}\right)\right) / \left(1 + x_{19} / k_{76} + x_{19} \cdot x_{16} / \left(k_{76} \cdot k_{75}\right) + x_{19} \cdot x_{16} \cdot k_{191} / \left(k_{76} \cdot k_{75} \cdot k_{77}\right) + x_{12} \cdot x_{18} / \left(k_{73} \cdot k_{74}\right) + x_{18} / k_{74}\right) + -1 \cdot k_{87} \cdot \left(\frac{7341}{100} \cdot k_{28} \cdot x_{12} \cdot x_{3} / \left(k_{151} \cdot k_{51} \cdot k_{52}\right) - \frac{7341}{100} \cdot k_{28} \cdot k_{49} \cdot k_{50} / \left(k_{51} \cdot k_{52} \cdot k_{20}\right) \cdot x_{28} \cdot x_{4} / \left(k_{152} \cdot k_{49} \cdot k_{50}\right)\right) / \left(1 + x_{12} / k_{51} + x_{3} / k_{52} + x_{12} \cdot x_{3} / \left(k_{151} \cdot k_{51} \cdot k_{52}\right) + x_{28} \cdot x_{4} / \left(k_{152} \cdot k_{49} \cdot k_{50}\right) + x_{28} / k_{49} + x_{4} / k_{50}\right)\right) / k_{87}\\ \frac{dx_{13}}{dt} = \left(1 \cdot k_{87} \cdot \frac{1551}{50} \cdot k_{28} / k_{105} / k_{106} \cdot \left(x_{8} \cdot x_{10} - x_{13} \cdot x_{11} / k_{107}\right) / \left(\left(1 + x_{10} / k_{106}\right) \cdot \left(1 + x_{8} / k_{105} + x_{12} / k_{108}\right) + x_{4} / k_{109} + x_{11} \cdot \left(1 + x_{8} / k_{110}\right) / k_{111}\right) + -1 \cdot k_{87} \cdot k_{112} \cdot \left(x_{13} - x_{14} / k_{113}\right) / \left(x_{13} + k_{114} \cdot \left(1 + x_{14} / k_{115}\right)\right) + -1 \cdot k_{87} \cdot k_{116} \cdot \left(x_{13} - x_{15} / k_{117}\right) / \left(x_{13} + k_{118} \cdot \left(1 + x_{15} / k_{119}\right)\right)\right) / k_{87}\\ \frac{dx_{14}}{dt} = \left(1 \cdot k_{87} \cdot k_{112} \cdot \left(x_{13} - x_{14} / k_{113}\right) / \left(x_{13} + k_{114} \cdot \left(1 + x_{14} / k_{115}\right)\right) + -1 \cdot k_{87} \cdot 1056 \cdot k_{28} \cdot \left(x_{15} \cdot x_{14} - x_{16} \cdot x_{17} / k_{120}\right) / \left(\left(k_{121} + x_{15}\right) \cdot x_{14} + \left(k_{122} + k_{123} \cdot x_{17}\right) \cdot x_{15} + \left(k_{124} + k_{125} \cdot x_{17}\right) \cdot x_{16} + k_{126} \cdot x_{17} + k_{127} \cdot x_{14} \cdot x_{16}\right) + -1 \cdot k_{87} \cdot \frac{1761}{10000} \cdot k_{28} \cdot \left(x_{7} \cdot x_{14} - x_{16} \cdot x_{5} / k_{128}\right) / \left(\left(k_{129} + x_{7}\right) \cdot x_{14} + \left(k_{130} + k_{131} \cdot x_{5}\right) \cdot x_{7} + \left(k_{132} + k_{133} \cdot x_{5}\right) \cdot x_{16} + k_{134} \cdot x_{5} + k_{135} \cdot x_{14} \cdot x_{16}\right)\right) / k_{87}\\ \frac{dx_{15}}{dt} = \left(1 \cdot k_{87} \cdot k_{116} \cdot \left(x_{13} - x_{15} / k_{117}\right) / \left(x_{13} + k_{118} \cdot \left(1 + x_{15} / k_{119}\right)\right) + -1 \cdot k_{87} \cdot 1056 \cdot k_{28} \cdot \left(x_{15} \cdot x_{14} - x_{16} \cdot x_{17} / k_{120}\right) / \left(\left(k_{121} + x_{15}\right) \cdot x_{14} + \left(k_{122} + k_{123} \cdot x_{17}\right) \cdot x_{15} + \left(k_{124} + k_{125} \cdot x_{17}\right) \cdot x_{16} + k_{126} \cdot x_{17} + k_{127} \cdot x_{14} \cdot x_{16}\right) + -1 \cdot k_{87} \cdot k_{145} \cdot \left(x_{15} \cdot x_{4} - k_{190} \cdot k_{189} / k_{146}\right) / \left(\left(k_{147} + x_{4}\right) \cdot \left(k_{148} + x_{15}\right)\right)\right) / k_{87}\\ \frac{dx_{16}}{dt} = \left(1 \cdot k_{87} \cdot 1056 \cdot k_{28} \cdot \left(x_{15} \cdot x_{14} - x_{16} \cdot x_{17} / k_{120}\right) / \left(\left(k_{121} + x_{15}\right) \cdot x_{14} + \left(k_{122} + k_{123} \cdot x_{17}\right) \cdot x_{15} + \left(k_{124} + k_{125} \cdot x_{17}\right) \cdot x_{16} + k_{126} \cdot x_{17} + k_{127} \cdot x_{14} \cdot x_{16}\right) + 1 \cdot k_{87} \cdot \frac{1761}{10000} \cdot k_{28} \cdot \left(x_{7} \cdot x_{14} - x_{16} \cdot x_{5} / k_{128}\right) / \left(\left(k_{129} + x_{7}\right) \cdot x_{14} + \left(k_{130} + k_{131} \cdot x_{5}\right) \cdot x_{7} + \left(k_{132} + k_{133} \cdot x_{5}\right) \cdot x_{16} + k_{134} \cdot x_{5} + k_{135} \cdot x_{14} \cdot x_{16}\right) + -1 \cdot k_{87} \cdot k_{136} \cdot \left(x_{17} \cdot x_{16} - x_{7} \cdot x_{5} / k_{137}\right) / \left(\left(k_{138} + x_{16}\right) \cdot x_{17} + \left(k_{139} + k_{140} \cdot x_{5}\right) \cdot x_{16} + \left(k_{141} + k_{142} \cdot x_{5}\right) \cdot x_{7} + k_{143} \cdot x_{5} + k_{144} \cdot x_{17} \cdot x_{7}\right) + 1 \cdot k_{87} \cdot \left(\frac{1463}{100} \cdot k_{28} \cdot x_{6} / k_{70} - \frac{1463}{100} \cdot k_{28} \cdot k_{68} \cdot k_{69} / \left(k_{12} \cdot k_{70}\right) \cdot x_{27} \cdot x_{16} / \left(k_{68} \cdot k_{69}\right)\right) / \left(1 + x_{6} / k_{70} + x_{27} / k_{68} + x_{16} / k_{69} + x_{27} \cdot x_{16} / \left(k_{68} \cdot k_{69}\right)\right) + -1 \cdot k_{87} \cdot \left(\frac{747}{125} \cdot k_{28} \cdot x_{16} / k_{72} - \frac{747}{125} \cdot k_{28} \cdot k_{71} / \left(k_{72} \cdot k_{18}\right) \cdot x_{27} / k_{71}\right) / \left(1 + x_{16} / k_{72} + x_{27} / k_{71}\right) + -1 \cdot k_{87} \cdot \left(\frac{1091}{10} \cdot k_{28} \cdot x_{19} \cdot x_{16} \cdot k_{191} / \left(k_{76} \cdot k_{75} \cdot k_{77}\right) - \frac{1091}{10} \cdot k_{28} \cdot k_{73} \cdot k_{74} / \left(k_{75} \cdot k_{76} \cdot k_{77} \cdot k_{19}\right) \cdot x_{12} \cdot x_{18} / \left(k_{73} \cdot k_{74}\right)\right) / \left(1 + x_{19} / k_{76} + x_{19} \cdot x_{16} / \left(k_{76} \cdot k_{75}\right) + x_{19} \cdot x_{16} \cdot k_{191} / \left(k_{76} \cdot k_{75} \cdot k_{77}\right) + x_{12} \cdot x_{18} / \left(k_{73} \cdot k_{74}\right) + x_{18} / k_{74}\right)\right) / k_{87}\\ \frac{dx_{17}}{dt} = \left(1 \cdot k_{87} \cdot 1056 \cdot k_{28} \cdot \left(x_{15} \cdot x_{14} - x_{16} \cdot x_{17} / k_{120}\right) / \left(\left(k_{121} + x_{15}\right) \cdot x_{14} + \left(k_{122} + k_{123} \cdot x_{17}\right) \cdot x_{15} + \left(k_{124} + k_{125} \cdot x_{17}\right) \cdot x_{16} + k_{126} \cdot x_{17} + k_{127} \cdot x_{14} \cdot x_{16}\right) + -1 \cdot k_{87} \cdot k_{136} \cdot \left(x_{17} \cdot x_{16} - x_{7} \cdot x_{5} / k_{137}\right) / \left(\left(k_{138} + x_{16}\right) \cdot x_{17} + \left(k_{139} + k_{140} \cdot x_{5}\right) \cdot x_{16} + \left(k_{141} + k_{142} \cdot x_{5}\right) \cdot x_{7} + k_{143} \cdot x_{5} + k_{144} \cdot x_{17} \cdot x_{7}\right)\right) / k_{87}\\ \frac{dx_{19}}{dt} = \left(-1 \cdot k_{87} \cdot \left(\frac{1091}{10} \cdot k_{28} \cdot x_{19} \cdot x_{16} \cdot k_{191} / \left(k_{76} \cdot k_{75} \cdot k_{77}\right) - \frac{1091}{10} \cdot k_{28} \cdot k_{73} \cdot k_{74} / \left(k_{75} \cdot k_{76} \cdot k_{77} \cdot k_{19}\right) \cdot x_{12} \cdot x_{18} / \left(k_{73} \cdot k_{74}\right)\right) / \left(1 + x_{19} / k_{76} + x_{19} \cdot x_{16} / \left(k_{76} \cdot k_{75}\right) + x_{19} \cdot x_{16} \cdot k_{191} / \left(k_{76} \cdot k_{75} \cdot k_{77}\right) + x_{12} \cdot x_{18} / \left(k_{73} \cdot k_{74}\right) + x_{18} / k_{74}\right) + 1 \cdot k_{87} \cdot \left(\frac{3403}{10} \cdot k_{28} \cdot x_{18} \cdot x_{31} / \left(k_{179} \cdot k_{85} \cdot k_{86}\right) - \frac{3403}{10} \cdot k_{28} \cdot k_{83} \cdot k_{84} / \left(k_{85} \cdot k_{86} \cdot k_{25}\right) \cdot k_{195} \cdot x_{19} / \left(k_{180} \cdot k_{83} \cdot k_{84}\right)\right) / \left(1 + x_{18} / k_{85} + x_{31} / k_{86} + x_{18} \cdot x_{31} / \left(k_{179} \cdot k_{85} \cdot k_{86}\right) + k_{195} \cdot x_{19} / \left(k_{180} \cdot k_{83} \cdot k_{84}\right) + k_{195} / k_{83} + x_{19} / k_{84}\right) + 1 \cdot k_{87} \cdot 4982000 \cdot k_{28} \cdot x_{18} \cdot \left(1 - x_{19} / \left(x_{18} \cdot k_{183}\right)\right) / \left(1 + x_{18} + 1 + x_{19} - 1\right)\right) / k_{87}\\ \frac{dx_{20}}{dt} = 0\\ \frac{dx_{21}}{dt} = 0\\ \frac{dx_{22}}{dt} = \left(-1 \cdot k_{87} \cdot \left(k_{55} \cdot x_{22} / k_{57} - k_{55} \cdot k_{56} / \left(k_{57} \cdot k_{16}\right) \cdot x_{2} / k_{56}\right) / \left(1 + x_{22} / k_{57} + x_{2} / k_{56}\right) + 1 \cdot k_{87} \cdot \left(k_{58} \cdot k_{192} \cdot k_{191} / \left(k_{61} \cdot k_{62}\right) - k_{58} \cdot k_{59} \cdot k_{60} / \left(k_{61} \cdot k_{62} \cdot k_{5}\right) \cdot k_{192} \cdot x_{22} / \left(k_{149} \cdot k_{60}\right)\right) / \left(1 + k_{192} / k_{61} + k_{191} / k_{150} + k_{192} / k_{59} + x_{22} / k_{60} + k_{192} \cdot k_{191} / \left(k_{61} \cdot k_{150}\right) + k_{192} \cdot x_{22} / \left(k_{59} \cdot k_{60}\right)\right) + 1 \cdot k_{87} \cdot \left(k_{63} \cdot k_{192} \cdot k_{191} / \left(k_{66} \cdot k_{153}\right) - k_{63} \cdot k_{64} \cdot k_{65} / \left(k_{66} \cdot k_{67} \cdot k_{6}\right) \cdot k_{192} \cdot x_{22} / \left(k_{64} \cdot k_{65}\right)\right) / \left(1 + k_{192} / k_{66} + k_{191} / k_{67} + k_{192} / k_{64} + x_{22} / k_{154} + k_{192} \cdot k_{191} / \left(k_{66} \cdot k_{153}\right) + k_{192} \cdot x_{22} / \left(k_{64} \cdot k_{65}\right)\right) \cdot k_{189}^{k_{155}} / k_{156} / \left(1 + k_{189}^{k_{155}} / k_{156}\right) + -1 \cdot k_{87} \cdot 32040 \cdot k_{28} / k_{157} \cdot k_{17} \cdot x_{22} \cdot k_{17} \cdot x_{4} \cdot k_{17} \cdot k_{192} \cdot \left(1 - k_{17} \cdot k_{191}^{2} \cdot k_{17} \cdot x_{3} / \left(k_{17} \cdot x_{22} \cdot k_{17} \cdot x_{4} \cdot k_{158}\right)\right) / \left(1 + k_{17} \cdot x_{22} \cdot k_{17} \cdot x_{4} \cdot k_{17} \cdot k_{192} / k_{157} + k_{17} \cdot k_{192} \cdot k_{17} \cdot k_{191}^{2} \cdot k_{17} \cdot x_{3} / k_{159}\right)\right) / k_{87}\\ \frac{dx_{23}}{dt} = 0\\ \frac{dx_{24}}{dt} = 0\\ \frac{dx_{25}}{dt} = 0\\ \frac{dx_{26}}{dt} = 0\\ \frac{dx_{27}}{dt} = \left(1 \cdot k_{87} \cdot \left(\frac{1463}{100} \cdot k_{28} \cdot x_{6} / k_{70} - \frac{1463}{100} \cdot k_{28} \cdot k_{68} \cdot k_{69} / \left(k_{12} \cdot k_{70}\right) \cdot x_{27} \cdot x_{16} / \left(k_{68} \cdot k_{69}\right)\right) / \left(1 + x_{6} / k_{70} + x_{27} / k_{68} + x_{16} / k_{69} + x_{27} \cdot x_{16} / \left(k_{68} \cdot k_{69}\right)\right) + 1 \cdot k_{87} \cdot \left(\frac{747}{125} \cdot k_{28} \cdot x_{16} / k_{72} - \frac{747}{125} \cdot k_{28} \cdot k_{71} / \left(k_{72} \cdot k_{18}\right) \cdot x_{27} / k_{71}\right) / \left(1 + x_{16} / k_{72} + x_{27} / k_{71}\right)\right) / k_{87}\\ \frac{dx_{28}}{dt} = \left(1 \cdot k_{87} \cdot \left(\frac{7341}{100} \cdot k_{28} \cdot x_{12} \cdot x_{3} / \left(k_{151} \cdot k_{51} \cdot k_{52}\right) - \frac{7341}{100} \cdot k_{28} \cdot k_{49} \cdot k_{50} / \left(k_{51} \cdot k_{52} \cdot k_{20}\right) \cdot x_{28} \cdot x_{4} / \left(k_{152} \cdot k_{49} \cdot k_{50}\right)\right) / \left(1 + x_{12} / k_{51} + x_{3} / k_{52} + x_{12} \cdot x_{3} / \left(k_{151} \cdot k_{51} \cdot k_{52}\right) + x_{28} \cdot x_{4} / \left(k_{152} \cdot k_{49} \cdot k_{50}\right) + x_{28} / k_{49} + x_{4} / k_{50}\right) + -1 \cdot k_{87} \cdot \left(k_{78} \cdot x_{28} / k_{80} - k_{78} \cdot k_{79} / \left(k_{80} \cdot k_{21}\right) \cdot x_{29} / k_{79}\right) / \left(1 + x_{28} / k_{80} + x_{29} / k_{79}\right)\right) / k_{87}\\ \frac{dx_{29}}{dt} = \left(1 \cdot k_{87} \cdot \left(k_{78} \cdot x_{28} / k_{80} - k_{78} \cdot k_{79} / \left(k_{80} \cdot k_{21}\right) \cdot x_{29} / k_{79}\right) / \left(1 + x_{28} / k_{80} + x_{29} / k_{79}\right) + -1 \cdot k_{87} \cdot \left(\frac{1609}{10} \cdot k_{28} \cdot x_{29} / k_{54} - \frac{1609}{10} \cdot k_{28} \cdot k_{53} / \left(k_{54} \cdot k_{23}\right) \cdot x_{30} / k_{53}\right) / \left(1 + x_{29} / k_{54} + x_{30} / k_{53}\right)\right) / k_{87}\\ \frac{dx_{30}}{dt} = \left(1 \cdot k_{87} \cdot \left(\frac{1609}{10} \cdot k_{28} \cdot x_{29} / k_{54} - \frac{1609}{10} \cdot k_{28} \cdot k_{53} / \left(k_{54} \cdot k_{23}\right) \cdot x_{30} / k_{53}\right) / \left(1 + x_{29} / k_{54} + x_{30} / k_{53}\right) + -1 \cdot k_{87} \cdot \frac{2781}{100} \cdot k_{28} \cdot \left(k_{17} \cdot x_{3} / k_{171} / \left(1 + k_{17} \cdot x_{3} / k_{171}\right) \cdot k_{17} \cdot x_{30} / k_{172} \cdot 1 + k_{17} \cdot x_{30} / k_{172}^{3} / \left(k_{173} \cdot 1 + k_{17} \cdot x_{4} / k_{174}^{4} / 1 + k_{17} \cdot x_{6} / k_{175}^{4} + 1 + k_{17} \cdot x_{30} / k_{172}^{4}\right) - k_{17} \cdot x_{4} \cdot k_{17} \cdot x_{31} / \left(k_{176} \cdot k_{177} \cdot k_{178}\right) / \left(k_{17} \cdot x_{4} / k_{176} + k_{17} \cdot x_{31} / k_{177} + k_{17} \cdot x_{4} \cdot k_{17} \cdot x_{31} / \left(k_{176} \cdot k_{177}\right) + 1\right)\right)\right) / k_{87}\\ \frac{dx_{31}}{dt} = \left(1 \cdot k_{87} \cdot \frac{2781}{100} \cdot k_{28} \cdot \left(k_{17} \cdot x_{3} / k_{171} / \left(1 + k_{17} \cdot x_{3} / k_{171}\right) \cdot k_{17} \cdot x_{30} / k_{172} \cdot 1 + k_{17} \cdot x_{30} / k_{172}^{3} / \left(k_{173} \cdot 1 + k_{17} \cdot x_{4} / k_{174}^{4} / 1 + k_{17} \cdot x_{6} / k_{175}^{4} + 1 + k_{17} \cdot x_{30} / k_{172}^{4}\right) - k_{17} \cdot x_{4} \cdot k_{17} \cdot x_{31} / \left(k_{176} \cdot k_{177} \cdot k_{178}\right) / \left(k_{17} \cdot x_{4} / k_{176} + k_{17} \cdot x_{31} / k_{177} + k_{17} \cdot x_{4} \cdot k_{17} \cdot x_{31} / \left(k_{176} \cdot k_{177}\right) + 1\right)\right) + -1 \cdot k_{87} \cdot \left(\frac{3403}{10} \cdot k_{28} \cdot x_{18} \cdot x_{31} / \left(k_{179} \cdot k_{85} \cdot k_{86}\right) - \frac{3403}{10} \cdot k_{28} \cdot k_{83} \cdot k_{84} / \left(k_{85} \cdot k_{86} \cdot k_{25}\right) \cdot k_{195} \cdot x_{19} / \left(k_{180} \cdot k_{83} \cdot k_{84}\right)\right) / \left(1 + x_{18} / k_{85} + x_{31} / k_{86} + x_{18} \cdot x_{31} / \left(k_{179} \cdot k_{85} \cdot k_{86}\right) + k_{195} \cdot x_{19} / \left(k_{180} \cdot k_{83} \cdot k_{84}\right) + k_{195} / k_{83} + x_{19} / k_{84}\right) + \frac{-2}{25} \cdot k_{87} \cdot 9801000 \cdot k_{29} \cdot x_{31}^{1 / k_{185}} \cdot k_{191} \cdot x_{3} \cdot k_{197}^{5 / \left(2 \cdot k_{185}\right)} \cdot \left(1 - x_{4} \cdot k_{196}^{3 / k_{185}} / \left(x_{31}^{1 / k_{185}} \cdot k_{197}^{5 / \left(2 \cdot k_{185}\right)} \cdot k_{191} \cdot x_{3} \cdot k_{186}\right)\right) / \left(1 + x_{31}^{1 / k_{185}} \cdot 1 + k_{197}^{5 / \left(2 \cdot k_{185}\right)} \cdot \left(1 + k_{191}\right) \cdot \left(1 + x_{3}\right) + \left(1 + x_{4}\right) \cdot 1 + k_{196}^{3 / k_{185}} - 1\right)\right) / k_{87}\\ \frac{dx_{32}}{dt} = 0\\ \frac{dx_{33}}{dt} = 0\\ \frac{dx_{34}}{dt} = 0