\frac{dx_{1}}{dt} = \left(-1 \cdot k_{99} \cdot k_{2} \cdot k_{1} \cdot k_{100} \cdot x_{1} / \left(k_{4} \cdot k_{7} \cdot \left(1 + x_{5} / k_{3}\right) \cdot \left(1 + k_{100} / k_{7} + \left(x_{1} + x_{3} + x_{6}\right) / k_{4} + k_{100} \cdot \left(x_{1} + x_{3} + x_{6}\right) / \left(k_{4} \cdot k_{7}\right) + k_{101} \cdot k_{100} \cdot \left(x_{1} + x_{3} + x_{6}\right) / \left(k_{4} \cdot k_{8} \cdot k_{7}\right) + k_{5} \cdot \left(x_{3} + x_{6} + x_{7}\right) / \left(k_{4} \cdot k_{6}\right)\right)\right) + 1 \cdot k_{99} \cdot k_{10} \cdot k_{9} \cdot x_{3} / \left(k_{11} \cdot \left(1 + k_{13} / x_{5}\right) \cdot \left(1 + \left(1 + k_{102} / k_{12}\right) \cdot \left(x_{3} + x_{6} + x_{7}\right) / k_{11}\right)\right)\right) / k_{99}\\ \frac{dx_{2}}{dt} = 0\\ \frac{dx_{3}}{dt} = \left(1 \cdot k_{99} \cdot k_{2} \cdot k_{1} \cdot k_{100} \cdot x_{1} / \left(k_{4} \cdot k_{7} \cdot \left(1 + x_{5} / k_{3}\right) \cdot \left(1 + k_{100} / k_{7} + \left(x_{1} + x_{3} + x_{6}\right) / k_{4} + k_{100} \cdot \left(x_{1} + x_{3} + x_{6}\right) / \left(k_{4} \cdot k_{7}\right) + k_{101} \cdot k_{100} \cdot \left(x_{1} + x_{3} + x_{6}\right) / \left(k_{4} \cdot k_{8} \cdot k_{7}\right) + k_{5} \cdot \left(x_{3} + x_{6} + x_{7}\right) / \left(k_{4} \cdot k_{6}\right)\right)\right) + -1 \cdot k_{99} \cdot k_{10} \cdot k_{9} \cdot x_{3} / \left(k_{11} \cdot \left(1 + k_{13} / x_{5}\right) \cdot \left(1 + \left(1 + k_{102} / k_{12}\right) \cdot \left(x_{3} + x_{6} + x_{7}\right) / k_{11}\right)\right) + -1 \cdot k_{99} \cdot k_{2} \cdot k_{1} \cdot k_{100} \cdot x_{3} / \left(k_{4} \cdot k_{7} \cdot \left(1 + x_{5} / k_{3}\right) \cdot \left(1 + k_{100} / k_{7} + \left(x_{1} + x_{3} + x_{6}\right) / k_{4} + k_{100} \cdot \left(x_{1} + x_{3} + x_{6}\right) / \left(k_{4} \cdot k_{7}\right) + k_{101} \cdot k_{100} \cdot \left(x_{1} + x_{3} + x_{6}\right) / \left(k_{4} \cdot k_{8} \cdot k_{7}\right) + k_{5} \cdot \left(x_{3} + x_{6} + x_{7}\right) / \left(k_{4} \cdot k_{6}\right)\right)\right) + 1 \cdot k_{99} \cdot k_{10} \cdot k_{9} \cdot x_{6} / \left(k_{11} \cdot \left(1 + k_{13} / x_{5}\right) \cdot \left(1 + \left(1 + k_{102} / k_{12}\right) \cdot \left(x_{3} + x_{6} + x_{7}\right) / k_{11}\right)\right)\right) / k_{99}\\ \frac{dx_{4}}{dt} = 0\\ \frac{dx_{5}}{dt} = \left(-1 \cdot k_{99} \cdot k_{104} \cdot k_{105} \cdot k_{46} \cdot x_{5} / \left(k_{47} \cdot k_{48} \cdot k_{49} \cdot \left(1 + k_{106} / k_{51} + k_{105} / k_{49}\right) \cdot \left(1 + x_{16} / k_{52}\right) \cdot \left(1 + k_{104} / k_{48} + x_{14} / k_{50}\right) \cdot \left(1 + x_{5} / k_{47} + x_{14} / k_{50}\right)\right) + 1 \cdot k_{99} \cdot k_{54} \cdot k_{56} \cdot k_{53} \cdot \left(\left(-k_{109} \cdot x_{18} \cdot x_{5} / k_{67}\right) + k_{103} \cdot x_{17} \cdot x_{14}\right) / \left(k_{61} \cdot k_{62} \cdot k_{63} \cdot \left(1 + k_{109} / k_{65} + x_{18} / k_{64} + k_{109} \cdot x_{18} / \left(k_{64} \cdot k_{65}\right) + x_{17} / k_{61}\right) \cdot \left(1 + k_{103} / k_{63} + x_{5} / k_{66} + k_{103} \cdot x_{5} / \left(k_{66} \cdot k_{63}\right) + x_{14} / k_{62} + k_{103} \cdot x_{14} / \left(k_{62} \cdot k_{63}\right)\right) \cdot \left(1 + 12^{k_{58}} \cdot x_{10} / \left(k_{55} \cdot k_{87}\right)^{k_{58}}\right) \cdot \left(1 + 12^{k_{59}} \cdot x_{10} / \left(k_{57} \cdot k_{87}\right)^{k_{59}}\right)\right) + -1 \cdot k_{99} \cdot k_{72} \cdot \left(\left(-x_{20} / k_{74}\right) + x_{5}\right) / \left(k_{73} \cdot \left(1 + x_{20} / k_{75} + x_{5} / k_{73}\right)\right)\right) / k_{99}\\ \frac{dx_{6}}{dt} = \left(1 \cdot k_{99} \cdot k_{2} \cdot k_{1} \cdot k_{100} \cdot x_{3} / \left(k_{4} \cdot k_{7} \cdot \left(1 + x_{5} / k_{3}\right) \cdot \left(1 + k_{100} / k_{7} + \left(x_{1} + x_{3} + x_{6}\right) / k_{4} + k_{100} \cdot \left(x_{1} + x_{3} + x_{6}\right) / \left(k_{4} \cdot k_{7}\right) + k_{101} \cdot k_{100} \cdot \left(x_{1} + x_{3} + x_{6}\right) / \left(k_{4} \cdot k_{8} \cdot k_{7}\right) + k_{5} \cdot \left(x_{3} + x_{6} + x_{7}\right) / \left(k_{4} \cdot k_{6}\right)\right)\right) + -1 \cdot k_{99} \cdot k_{10} \cdot k_{9} \cdot x_{6} / \left(k_{11} \cdot \left(1 + k_{13} / x_{5}\right) \cdot \left(1 + \left(1 + k_{102} / k_{12}\right) \cdot \left(x_{3} + x_{6} + x_{7}\right) / k_{11}\right)\right) + -1 \cdot k_{99} \cdot k_{2} \cdot k_{1} \cdot k_{100} \cdot x_{6} / \left(k_{4} \cdot k_{7} \cdot \left(1 + x_{5} / k_{3}\right) \cdot \left(1 + k_{100} / k_{7} + \left(x_{1} + x_{3} + x_{6}\right) / k_{4} + k_{100} \cdot \left(x_{1} + x_{3} + x_{6}\right) / \left(k_{4} \cdot k_{7}\right) + k_{101} \cdot k_{100} \cdot \left(x_{1} + x_{3} + x_{6}\right) / \left(k_{4} \cdot k_{8} \cdot k_{7}\right) + k_{5} \cdot \left(x_{3} + x_{6} + x_{7}\right) / \left(k_{4} \cdot k_{6}\right)\right)\right) + 1 \cdot k_{99} \cdot k_{10} \cdot k_{9} \cdot x_{7} / \left(k_{11} \cdot \left(1 + k_{13} / x_{5}\right) \cdot \left(1 + \left(1 + k_{102} / k_{12}\right) \cdot \left(x_{3} + x_{6} + x_{7}\right) / k_{11}\right)\right)\right) / k_{99}\\ \frac{dx_{7}}{dt} = \left(1 \cdot k_{99} \cdot k_{2} \cdot k_{1} \cdot k_{100} \cdot x_{6} / \left(k_{4} \cdot k_{7} \cdot \left(1 + x_{5} / k_{3}\right) \cdot \left(1 + k_{100} / k_{7} + \left(x_{1} + x_{3} + x_{6}\right) / k_{4} + k_{100} \cdot \left(x_{1} + x_{3} + x_{6}\right) / \left(k_{4} \cdot k_{7}\right) + k_{101} \cdot k_{100} \cdot \left(x_{1} + x_{3} + x_{6}\right) / \left(k_{4} \cdot k_{8} \cdot k_{7}\right) + k_{5} \cdot \left(x_{3} + x_{6} + x_{7}\right) / \left(k_{4} \cdot k_{6}\right)\right)\right) + -1 \cdot k_{99} \cdot k_{10} \cdot k_{9} \cdot x_{7} / \left(k_{11} \cdot \left(1 + k_{13} / x_{5}\right) \cdot \left(1 + \left(1 + k_{102} / k_{12}\right) \cdot \left(x_{3} + x_{6} + x_{7}\right) / k_{11}\right)\right)\right) / k_{99}\\ \frac{dx_{8}}{dt} = 0\\ \frac{dx_{9}}{dt} = \left(-1 \cdot k_{99} \cdot k_{18} \cdot x_{9} \cdot \left(k_{15} \cdot x_{5} / k_{20} + 3 \cdot k_{14} \cdot k_{104} \cdot x_{1} / \left(k_{19} \cdot k_{89} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right)\right) + 3 \cdot k_{16} \cdot k_{104} \cdot x_{5} \cdot x_{1} / \left(k_{20} \cdot k_{19} \cdot k_{89} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right)\right)\right) / \left(\left(k_{21} + x_{9}\right) \cdot \left(1 + x_{5} / k_{20} + 3 \cdot k_{104} \cdot x_{1} / \left(k_{19} \cdot k_{89} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right)\right) + 3 \cdot k_{104} \cdot x_{5} \cdot x_{1} / \left(k_{17} \cdot k_{20} \cdot k_{19} \cdot k_{89} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right)\right)\right)\right) + 1 \cdot k_{99} \cdot k_{33} \cdot x_{10} \cdot \left(k_{23} \cdot x_{5} / k_{35} + 3 \cdot k_{22} \cdot k_{104} \cdot x_{1} / \left(k_{89} \cdot k_{34} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right)\right) + 3 \cdot k_{25} \cdot k_{104} \cdot x_{5} \cdot x_{1} / \left(k_{89} \cdot k_{35} \cdot k_{34} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right)\right) + k_{24} \cdot k_{104}^{3} \cdot x_{7} / \left(k_{92} \cdot k_{93} \cdot k_{94} \cdot k_{36} \cdot \left(1 + 3 \cdot k_{104} / k_{92} + 3 \cdot k_{104}^{2} / \left(k_{92} \cdot k_{93}\right) + k_{104}^{3} / \left(k_{92} \cdot k_{93} \cdot k_{94}\right)\right)\right) + k_{27} \cdot k_{104}^{3} \cdot x_{5} \cdot x_{7} / \left(k_{92} \cdot k_{93} \cdot k_{94} \cdot k_{35} \cdot k_{36} \cdot \left(1 + 3 \cdot k_{104} / k_{92} + 3 \cdot k_{104}^{2} / \left(k_{92} \cdot k_{93}\right) + k_{104}^{3} / \left(k_{92} \cdot k_{93} \cdot k_{94}\right)\right)\right) + 3 \cdot k_{26} \cdot k_{104}^{4} \cdot x_{1} \cdot x_{7} / \left(k_{89} \cdot k_{92} \cdot k_{93} \cdot k_{94} \cdot k_{34} \cdot k_{36} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right) \cdot \left(1 + 3 \cdot k_{104} / k_{92} + 3 \cdot k_{104}^{2} / \left(k_{92} \cdot k_{93}\right) + k_{104}^{3} / \left(k_{92} \cdot k_{93} \cdot k_{94}\right)\right)\right) + 3 \cdot k_{28} \cdot k_{104}^{4} \cdot x_{5} \cdot x_{1} \cdot x_{7} / \left(k_{89} \cdot k_{92} \cdot k_{93} \cdot k_{94} \cdot k_{35} \cdot k_{34} \cdot k_{36} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right) \cdot \left(1 + 3 \cdot k_{104} / k_{92} + 3 \cdot k_{104}^{2} / \left(k_{92} \cdot k_{93}\right) + k_{104}^{3} / \left(k_{92} \cdot k_{93} \cdot k_{94}\right)\right)\right)\right) / \left(\left(k_{37} + x_{10}\right) \cdot \left(1 + x_{5} / k_{35} + 3 \cdot k_{104} \cdot x_{1} / \left(k_{89} \cdot k_{34} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right)\right) + 3 \cdot k_{104} \cdot x_{5} \cdot x_{1} / \left(k_{89} \cdot k_{35} \cdot k_{34} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right) \cdot k_{29}\right) + k_{104}^{3} \cdot x_{7} / \left(k_{92} \cdot k_{93} \cdot k_{94} \cdot k_{36} \cdot \left(1 + 3 \cdot k_{104} / k_{92} + 3 \cdot k_{104}^{2} / \left(k_{92} \cdot k_{93}\right) + k_{104}^{3} / \left(k_{92} \cdot k_{93} \cdot k_{94}\right)\right)\right) + k_{104}^{3} \cdot x_{5} \cdot x_{7} / \left(k_{92} \cdot k_{93} \cdot k_{94} \cdot k_{35} \cdot k_{36} \cdot \left(1 + 3 \cdot k_{104} / k_{92} + 3 \cdot k_{104}^{2} / \left(k_{92} \cdot k_{93}\right) + k_{104}^{3} / \left(k_{92} \cdot k_{93} \cdot k_{94}\right)\right) \cdot k_{31}\right) + 3 \cdot k_{104}^{4} \cdot x_{1} \cdot x_{7} / \left(k_{89} \cdot k_{92} \cdot k_{93} \cdot k_{94} \cdot k_{34} \cdot k_{36} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right) \cdot \left(1 + 3 \cdot k_{104} / k_{92} + 3 \cdot k_{104}^{2} / \left(k_{92} \cdot k_{93}\right) + k_{104}^{3} / \left(k_{92} \cdot k_{93} \cdot k_{94}\right)\right) \cdot k_{30}\right) + 3 \cdot k_{104}^{4} \cdot x_{5} \cdot x_{1} \cdot x_{7} / \left(k_{89} \cdot k_{92} \cdot k_{93} \cdot k_{94} \cdot k_{35} \cdot k_{34} \cdot k_{36} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right) \cdot \left(1 + 3 \cdot k_{104} / k_{92} + 3 \cdot k_{104}^{2} / \left(k_{92} \cdot k_{93}\right) + k_{104}^{3} / \left(k_{92} \cdot k_{93} \cdot k_{94}\right)\right) \cdot k_{32}\right)\right)\right)\right) / k_{99}\\ \frac{dx_{10}}{dt} = \left(1 \cdot k_{99} \cdot k_{18} \cdot x_{9} \cdot \left(k_{15} \cdot x_{5} / k_{20} + 3 \cdot k_{14} \cdot k_{104} \cdot x_{1} / \left(k_{19} \cdot k_{89} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right)\right) + 3 \cdot k_{16} \cdot k_{104} \cdot x_{5} \cdot x_{1} / \left(k_{20} \cdot k_{19} \cdot k_{89} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right)\right)\right) / \left(\left(k_{21} + x_{9}\right) \cdot \left(1 + x_{5} / k_{20} + 3 \cdot k_{104} \cdot x_{1} / \left(k_{19} \cdot k_{89} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right)\right) + 3 \cdot k_{104} \cdot x_{5} \cdot x_{1} / \left(k_{17} \cdot k_{20} \cdot k_{19} \cdot k_{89} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right)\right)\right)\right) + -1 \cdot k_{99} \cdot k_{33} \cdot x_{10} \cdot \left(k_{23} \cdot x_{5} / k_{35} + 3 \cdot k_{22} \cdot k_{104} \cdot x_{1} / \left(k_{89} \cdot k_{34} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right)\right) + 3 \cdot k_{25} \cdot k_{104} \cdot x_{5} \cdot x_{1} / \left(k_{89} \cdot k_{35} \cdot k_{34} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right)\right) + k_{24} \cdot k_{104}^{3} \cdot x_{7} / \left(k_{92} \cdot k_{93} \cdot k_{94} \cdot k_{36} \cdot \left(1 + 3 \cdot k_{104} / k_{92} + 3 \cdot k_{104}^{2} / \left(k_{92} \cdot k_{93}\right) + k_{104}^{3} / \left(k_{92} \cdot k_{93} \cdot k_{94}\right)\right)\right) + k_{27} \cdot k_{104}^{3} \cdot x_{5} \cdot x_{7} / \left(k_{92} \cdot k_{93} \cdot k_{94} \cdot k_{35} \cdot k_{36} \cdot \left(1 + 3 \cdot k_{104} / k_{92} + 3 \cdot k_{104}^{2} / \left(k_{92} \cdot k_{93}\right) + k_{104}^{3} / \left(k_{92} \cdot k_{93} \cdot k_{94}\right)\right)\right) + 3 \cdot k_{26} \cdot k_{104}^{4} \cdot x_{1} \cdot x_{7} / \left(k_{89} \cdot k_{92} \cdot k_{93} \cdot k_{94} \cdot k_{34} \cdot k_{36} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right) \cdot \left(1 + 3 \cdot k_{104} / k_{92} + 3 \cdot k_{104}^{2} / \left(k_{92} \cdot k_{93}\right) + k_{104}^{3} / \left(k_{92} \cdot k_{93} \cdot k_{94}\right)\right)\right) + 3 \cdot k_{28} \cdot k_{104}^{4} \cdot x_{5} \cdot x_{1} \cdot x_{7} / \left(k_{89} \cdot k_{92} \cdot k_{93} \cdot k_{94} \cdot k_{35} \cdot k_{34} \cdot k_{36} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right) \cdot \left(1 + 3 \cdot k_{104} / k_{92} + 3 \cdot k_{104}^{2} / \left(k_{92} \cdot k_{93}\right) + k_{104}^{3} / \left(k_{92} \cdot k_{93} \cdot k_{94}\right)\right)\right)\right) / \left(\left(k_{37} + x_{10}\right) \cdot \left(1 + x_{5} / k_{35} + 3 \cdot k_{104} \cdot x_{1} / \left(k_{89} \cdot k_{34} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right)\right) + 3 \cdot k_{104} \cdot x_{5} \cdot x_{1} / \left(k_{89} \cdot k_{35} \cdot k_{34} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right) \cdot k_{29}\right) + k_{104}^{3} \cdot x_{7} / \left(k_{92} \cdot k_{93} \cdot k_{94} \cdot k_{36} \cdot \left(1 + 3 \cdot k_{104} / k_{92} + 3 \cdot k_{104}^{2} / \left(k_{92} \cdot k_{93}\right) + k_{104}^{3} / \left(k_{92} \cdot k_{93} \cdot k_{94}\right)\right)\right) + k_{104}^{3} \cdot x_{5} \cdot x_{7} / \left(k_{92} \cdot k_{93} \cdot k_{94} \cdot k_{35} \cdot k_{36} \cdot \left(1 + 3 \cdot k_{104} / k_{92} + 3 \cdot k_{104}^{2} / \left(k_{92} \cdot k_{93}\right) + k_{104}^{3} / \left(k_{92} \cdot k_{93} \cdot k_{94}\right)\right) \cdot k_{31}\right) + 3 \cdot k_{104}^{4} \cdot x_{1} \cdot x_{7} / \left(k_{89} \cdot k_{92} \cdot k_{93} \cdot k_{94} \cdot k_{34} \cdot k_{36} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right) \cdot \left(1 + 3 \cdot k_{104} / k_{92} + 3 \cdot k_{104}^{2} / \left(k_{92} \cdot k_{93}\right) + k_{104}^{3} / \left(k_{92} \cdot k_{93} \cdot k_{94}\right)\right) \cdot k_{30}\right) + 3 \cdot k_{104}^{4} \cdot x_{5} \cdot x_{1} \cdot x_{7} / \left(k_{89} \cdot k_{92} \cdot k_{93} \cdot k_{94} \cdot k_{35} \cdot k_{34} \cdot k_{36} \cdot \left(1 + 3 \cdot k_{104} / k_{89} + 3 \cdot k_{104}^{2} / \left(k_{89} \cdot k_{90}\right) + k_{104}^{3} / \left(k_{89} \cdot k_{90} \cdot k_{91}\right)\right) \cdot \left(1 + 3 \cdot k_{104} / k_{92} + 3 \cdot k_{104}^{2} / \left(k_{92} \cdot k_{93}\right) + k_{104}^{3} / \left(k_{92} \cdot k_{93} \cdot k_{94}\right)\right) \cdot k_{32}\right)\right)\right)\right) / k_{99}\\ \frac{dx_{11}}{dt} = 0\\ \frac{dx_{12}}{dt} = 0\\ \frac{dx_{13}}{dt} = 0\\ \frac{dx_{14}}{dt} = \left(1 \cdot k_{99} \cdot k_{38} \cdot \left(k_{104} \cdot k_{105} \cdot k_{103} - k_{106} \cdot x_{14} / k_{44}\right) / \left(k_{39} \cdot k_{42} \cdot k_{40} \cdot \left(1 + k_{106} / k_{43} + k_{105} / k_{42}\right) \cdot \left(1 + k_{103} / k_{40}\right) \cdot \left(1 + k_{104} / k_{39} + x_{14} / k_{41}\right)\right) + 2 \cdot k_{99} \cdot k_{104} \cdot k_{105} \cdot k_{46} \cdot x_{5} / \left(k_{47} \cdot k_{48} \cdot k_{49} \cdot \left(1 + k_{106} / k_{51} + k_{105} / k_{49}\right) \cdot \left(1 + x_{16} / k_{52}\right) \cdot \left(1 + k_{104} / k_{48} + x_{14} / k_{50}\right) \cdot \left(1 + x_{5} / k_{47} + x_{14} / k_{50}\right)\right) + -1 \cdot k_{99} \cdot k_{54} \cdot k_{56} \cdot k_{53} \cdot \left(\left(-k_{109} \cdot x_{18} \cdot x_{5} / k_{67}\right) + k_{103} \cdot x_{17} \cdot x_{14}\right) / \left(k_{61} \cdot k_{62} \cdot k_{63} \cdot \left(1 + k_{109} / k_{65} + x_{18} / k_{64} + k_{109} \cdot x_{18} / \left(k_{64} \cdot k_{65}\right) + x_{17} / k_{61}\right) \cdot \left(1 + k_{103} / k_{63} + x_{5} / k_{66} + k_{103} \cdot x_{5} / \left(k_{66} \cdot k_{63}\right) + x_{14} / k_{62} + k_{103} \cdot x_{14} / \left(k_{62} \cdot k_{63}\right)\right) \cdot \left(1 + 12^{k_{58}} \cdot x_{10} / \left(k_{55} \cdot k_{87}\right)^{k_{58}}\right) \cdot \left(1 + 12^{k_{59}} \cdot x_{10} / \left(k_{57} \cdot k_{87}\right)^{k_{59}}\right)\right) + -1 \cdot k_{99} \cdot k_{68} \cdot \left(\left(-x_{16} / k_{70}\right) + x_{14}\right) / \left(k_{69} \cdot \left(1 + x_{16} / k_{71} + x_{14} / k_{69}\right)\right)\right) / k_{99}\\ \frac{dx_{15}}{dt} = 0\\ \frac{dx_{16}}{dt} = \left(1 \cdot k_{99} \cdot k_{68} \cdot \left(\left(-x_{16} / k_{70}\right) + x_{14}\right) / \left(k_{69} \cdot \left(1 + x_{16} / k_{71} + x_{14} / k_{69}\right)\right) + -1 \cdot k_{99} \cdot k_{80} \cdot \left(\left(-k_{107} / k_{82}\right) + x_{16}\right) / \left(k_{81} \cdot \left(1 + k_{107} / k_{83} + x_{16} / k_{81}\right)\right)\right) / k_{99}\\ \frac{dx_{17}}{dt} = \left(-1 \cdot k_{99} \cdot k_{54} \cdot k_{56} \cdot k_{53} \cdot \left(\left(-k_{109} \cdot x_{18} \cdot x_{5} / k_{67}\right) + k_{103} \cdot x_{17} \cdot x_{14}\right) / \left(k_{61} \cdot k_{62} \cdot k_{63} \cdot \left(1 + k_{109} / k_{65} + x_{18} / k_{64} + k_{109} \cdot x_{18} / \left(k_{64} \cdot k_{65}\right) + x_{17} / k_{61}\right) \cdot \left(1 + k_{103} / k_{63} + x_{5} / k_{66} + k_{103} \cdot x_{5} / \left(k_{66} \cdot k_{63}\right) + x_{14} / k_{62} + k_{103} \cdot x_{14} / \left(k_{62} \cdot k_{63}\right)\right) \cdot \left(1 + 12^{k_{58}} \cdot x_{10} / \left(k_{55} \cdot k_{87}\right)^{k_{58}}\right) \cdot \left(1 + 12^{k_{59}} \cdot x_{10} / \left(k_{57} \cdot k_{87}\right)^{k_{59}}\right)\right) + 1 \cdot k_{99} \cdot k_{84} \cdot x_{18} / \left(k_{85} + x_{18}\right)\right) / k_{99}\\ \frac{dx_{18}}{dt} = \left(1 \cdot k_{99} \cdot k_{54} \cdot k_{56} \cdot k_{53} \cdot \left(\left(-k_{109} \cdot x_{18} \cdot x_{5} / k_{67}\right) + k_{103} \cdot x_{17} \cdot x_{14}\right) / \left(k_{61} \cdot k_{62} \cdot k_{63} \cdot \left(1 + k_{109} / k_{65} + x_{18} / k_{64} + k_{109} \cdot x_{18} / \left(k_{64} \cdot k_{65}\right) + x_{17} / k_{61}\right) \cdot \left(1 + k_{103} / k_{63} + x_{5} / k_{66} + k_{103} \cdot x_{5} / \left(k_{66} \cdot k_{63}\right) + x_{14} / k_{62} + k_{103} \cdot x_{14} / \left(k_{62} \cdot k_{63}\right)\right) \cdot \left(1 + 12^{k_{58}} \cdot x_{10} / \left(k_{55} \cdot k_{87}\right)^{k_{58}}\right) \cdot \left(1 + 12^{k_{59}} \cdot x_{10} / \left(k_{57} \cdot k_{87}\right)^{k_{59}}\right)\right) + -1 \cdot k_{99} \cdot k_{84} \cdot x_{18} / \left(k_{85} + x_{18}\right)\right) / k_{99}\\ \frac{dx_{19}}{dt} = 0\\ \frac{dx_{20}}{dt} = \left(1 \cdot k_{99} \cdot k_{72} \cdot \left(\left(-x_{20} / k_{74}\right) + x_{5}\right) / \left(k_{73} \cdot \left(1 + x_{20} / k_{75} + x_{5} / k_{73}\right)\right) + -1 \cdot k_{99} \cdot k_{76} \cdot \left(\left(-k_{108} / k_{78}\right) + x_{20}\right) / \left(k_{77} \cdot \left(1 + k_{108} / k_{79} + x_{20} / k_{77}\right)\right)\right) / k_{99}\\ \frac{dx_{21}}{dt} = 0\\ \frac{dx_{22}}{dt} = 0