\frac{dx_{1}}{dt} = \left(-1 \cdot 2 \cdot k_{2} \cdot k_{74} / \left(2 \cdot k_{3}\right) \cdot x_{2} / k_{4} \cdot x_{1} / k_{5} / \left(\left(1 + k_{74} / \left(2 \cdot k_{3}\right) + x_{5} / k_{6}\right) \cdot \left(1 + x_{2} / k_{4} + x_{4} / k_{7}\right) \cdot \left(1 + x_{1} / k_{5} + x_{3} / k_{8}\right)\right) + -1 \cdot k_{30} \cdot \left(x_{10} \cdot x_{1} - k_{75} \cdot x_{3} / k_{31}\right) / \left(k_{32} \cdot k_{33}\right) / \left(\left(1 + x_{10} / k_{33} + k_{75} / k_{34}\right) \cdot \left(1 + x_{1} / k_{32} + x_{3} / k_{35}\right)\right) + 1 \cdot k_{65} \cdot x_{3} / \left(x_{1} \cdot k_{66}\right)^{k_{67}} / \left(1 + x_{3} / \left(x_{1} \cdot k_{66}\right)^{k_{67}}\right)\right) / k_{1}\\ \frac{dx_{2}}{dt} = \left(-1 \cdot 2 \cdot k_{2} \cdot k_{74} / \left(2 \cdot k_{3}\right) \cdot x_{2} / k_{4} \cdot x_{1} / k_{5} / \left(\left(1 + k_{74} / \left(2 \cdot k_{3}\right) + x_{5} / k_{6}\right) \cdot \left(1 + x_{2} / k_{4} + x_{4} / k_{7}\right) \cdot \left(1 + x_{1} / k_{5} + x_{3} / k_{8}\right)\right) + 1 \cdot k_{9} \cdot \left(x_{5} \cdot x_{4} - k_{73} \cdot x_{2} / k_{10}\right) / \left(k_{11} \cdot k_{12}\right) / \left(\left(1 + x_{5} / k_{11} + k_{73} / k_{13}\right) \cdot \left(1 + x_{4} / k_{12} + x_{2} / k_{14}\right)\right) + -1 \cdot k_{15} \cdot x_{5} / k_{16} \cdot x_{2} / k_{17} \cdot x_{7} / k_{18} \cdot x_{2} / \left(x_{2} + k_{19} \cdot x_{4}\right) / \left(\left(1 + x_{5} / k_{16}\right) \cdot \left(1 + x_{2} / k_{17} + x_{4} / k_{20}\right) \cdot \left(1 + x_{7} / k_{18} + x_{9} / k_{21}\right)\right) + 1 \cdot k_{36} \cdot \left(x_{9} \cdot x_{4} - x_{7} \cdot x_{2} \cdot x_{12} / k_{37}\right) / \left(k_{38} \cdot k_{39}\right) / \left(\left(1 + x_{2} / k_{40} + x_{4} / k_{39}\right) \cdot \left(1 + x_{9} / k_{38} + x_{7} / k_{41}\right) \cdot \left(1 + x_{12} / k_{42}\right)\right) + 1 \cdot k_{43} \cdot \left(x_{12} \cdot x_{4} - k_{76} \cdot x_{2} / k_{44}\right) / \left(k_{45} \cdot k_{46}\right) / \left(\left(1 + x_{2} / k_{47} + x_{4} / k_{46}\right) \cdot \left(1 + x_{12} / k_{45} + k_{76} / k_{48}\right)\right) + 1 \cdot k_{59} \cdot \left(x_{15} \cdot x_{4} - k_{78} \cdot x_{2} / k_{60}\right) / \left(k_{61} \cdot k_{62}\right) / \left(\left(1 + x_{15} / k_{61} + k_{78} / k_{63}\right) \cdot \left(1 + x_{4} / k_{62} + x_{2} / k_{64}\right)\right) + 1 \cdot k_{68} \cdot x_{4} \cdot k_{79} / \left(k_{69} \cdot k_{70}\right) / \left(\left(1 + x_{4} / k_{69} + x_{2} / k_{71}\right) \cdot \left(1 + k_{79} / k_{70}\right)\right)\right) / k_{1}\\ \frac{dx_{3}}{dt} = \left(1 \cdot 2 \cdot k_{2} \cdot k_{74} / \left(2 \cdot k_{3}\right) \cdot x_{2} / k_{4} \cdot x_{1} / k_{5} / \left(\left(1 + k_{74} / \left(2 \cdot k_{3}\right) + x_{5} / k_{6}\right) \cdot \left(1 + x_{2} / k_{4} + x_{4} / k_{7}\right) \cdot \left(1 + x_{1} / k_{5} + x_{3} / k_{8}\right)\right) + 1 \cdot k_{30} \cdot \left(x_{10} \cdot x_{1} - k_{75} \cdot x_{3} / k_{31}\right) / \left(k_{32} \cdot k_{33}\right) / \left(\left(1 + x_{10} / k_{33} + k_{75} / k_{34}\right) \cdot \left(1 + x_{1} / k_{32} + x_{3} / k_{35}\right)\right) + -1 \cdot k_{65} \cdot x_{3} / \left(x_{1} \cdot k_{66}\right)^{k_{67}} / \left(1 + x_{3} / \left(x_{1} \cdot k_{66}\right)^{k_{67}}\right)\right) / k_{1}\\ \frac{dx_{4}}{dt} = \left(1 \cdot 2 \cdot k_{2} \cdot k_{74} / \left(2 \cdot k_{3}\right) \cdot x_{2} / k_{4} \cdot x_{1} / k_{5} / \left(\left(1 + k_{74} / \left(2 \cdot k_{3}\right) + x_{5} / k_{6}\right) \cdot \left(1 + x_{2} / k_{4} + x_{4} / k_{7}\right) \cdot \left(1 + x_{1} / k_{5} + x_{3} / k_{8}\right)\right) + -1 \cdot k_{9} \cdot \left(x_{5} \cdot x_{4} - k_{73} \cdot x_{2} / k_{10}\right) / \left(k_{11} \cdot k_{12}\right) / \left(\left(1 + x_{5} / k_{11} + k_{73} / k_{13}\right) \cdot \left(1 + x_{4} / k_{12} + x_{2} / k_{14}\right)\right) + 1 \cdot k_{15} \cdot x_{5} / k_{16} \cdot x_{2} / k_{17} \cdot x_{7} / k_{18} \cdot x_{2} / \left(x_{2} + k_{19} \cdot x_{4}\right) / \left(\left(1 + x_{5} / k_{16}\right) \cdot \left(1 + x_{2} / k_{17} + x_{4} / k_{20}\right) \cdot \left(1 + x_{7} / k_{18} + x_{9} / k_{21}\right)\right) + -1 \cdot k_{36} \cdot \left(x_{9} \cdot x_{4} - x_{7} \cdot x_{2} \cdot x_{12} / k_{37}\right) / \left(k_{38} \cdot k_{39}\right) / \left(\left(1 + x_{2} / k_{40} + x_{4} / k_{39}\right) \cdot \left(1 + x_{9} / k_{38} + x_{7} / k_{41}\right) \cdot \left(1 + x_{12} / k_{42}\right)\right) + -1 \cdot k_{43} \cdot \left(x_{12} \cdot x_{4} - k_{76} \cdot x_{2} / k_{44}\right) / \left(k_{45} \cdot k_{46}\right) / \left(\left(1 + x_{2} / k_{47} + x_{4} / k_{46}\right) \cdot \left(1 + x_{12} / k_{45} + k_{76} / k_{48}\right)\right) + -1 \cdot k_{59} \cdot \left(x_{15} \cdot x_{4} - k_{78} \cdot x_{2} / k_{60}\right) / \left(k_{61} \cdot k_{62}\right) / \left(\left(1 + x_{15} / k_{61} + k_{78} / k_{63}\right) \cdot \left(1 + x_{4} / k_{62} + x_{2} / k_{64}\right)\right) + -1 \cdot k_{68} \cdot x_{4} \cdot k_{79} / \left(k_{69} \cdot k_{70}\right) / \left(\left(1 + x_{4} / k_{69} + x_{2} / k_{71}\right) \cdot \left(1 + k_{79} / k_{70}\right)\right)\right) / k_{1}\\ \frac{dx_{5}}{dt} = \left(1 \cdot 2 \cdot k_{2} \cdot k_{74} / \left(2 \cdot k_{3}\right) \cdot x_{2} / k_{4} \cdot x_{1} / k_{5} / \left(\left(1 + k_{74} / \left(2 \cdot k_{3}\right) + x_{5} / k_{6}\right) \cdot \left(1 + x_{2} / k_{4} + x_{4} / k_{7}\right) \cdot \left(1 + x_{1} / k_{5} + x_{3} / k_{8}\right)\right) + -1 \cdot k_{9} \cdot \left(x_{5} \cdot x_{4} - k_{73} \cdot x_{2} / k_{10}\right) / \left(k_{11} \cdot k_{12}\right) / \left(\left(1 + x_{5} / k_{11} + k_{73} / k_{13}\right) \cdot \left(1 + x_{4} / k_{12} + x_{2} / k_{14}\right)\right) + -1 \cdot k_{15} \cdot x_{5} / k_{16} \cdot x_{2} / k_{17} \cdot x_{7} / k_{18} \cdot x_{2} / \left(x_{2} + k_{19} \cdot x_{4}\right) / \left(\left(1 + x_{5} / k_{16}\right) \cdot \left(1 + x_{2} / k_{17} + x_{4} / k_{20}\right) \cdot \left(1 + x_{7} / k_{18} + x_{9} / k_{21}\right)\right) + -2 \cdot k_{49} \cdot x_{5} / k_{50} \cdot \left(1 - x_{14} / \left(x_{5} \cdot k_{51}\right)\right) \cdot x_{5} / k_{50} + x_{14} / k_{52}^{k_{53} - 1} / \left(1 + x_{5} / k_{50} + x_{14} / k_{52}^{k_{53}}\right)\right) / k_{1}\\ \frac{dx_{6}}{dt} = 0\\ \frac{dx_{7}}{dt} = \left(-1 \cdot k_{15} \cdot x_{5} / k_{16} \cdot x_{2} / k_{17} \cdot x_{7} / k_{18} \cdot x_{2} / \left(x_{2} + k_{19} \cdot x_{4}\right) / \left(\left(1 + x_{5} / k_{16}\right) \cdot \left(1 + x_{2} / k_{17} + x_{4} / k_{20}\right) \cdot \left(1 + x_{7} / k_{18} + x_{9} / k_{21}\right)\right) + 1 \cdot k_{22} \cdot \left(x_{9} \cdot k_{80} - x_{10} \cdot x_{7} / k_{23}\right) / \left(k_{24} \cdot k_{25}\right) / \left(1 + x_{9} / k_{24} + k_{80} / k_{26} + x_{10} / k_{27} + x_{7} / k_{28} + x_{9} \cdot k_{80} / \left(k_{24} \cdot k_{25}\right) + x_{10} \cdot x_{7} / \left(k_{29} \cdot k_{28}\right)\right) + 1 \cdot k_{36} \cdot \left(x_{9} \cdot x_{4} - x_{7} \cdot x_{2} \cdot x_{12} / k_{37}\right) / \left(k_{38} \cdot k_{39}\right) / \left(\left(1 + x_{2} / k_{40} + x_{4} / k_{39}\right) \cdot \left(1 + x_{9} / k_{38} + x_{7} / k_{41}\right) \cdot \left(1 + x_{12} / k_{42}\right)\right)\right) / k_{1}\\ \frac{dx_{8}}{dt} = 0\\ \frac{dx_{9}}{dt} = \left(1 \cdot k_{15} \cdot x_{5} / k_{16} \cdot x_{2} / k_{17} \cdot x_{7} / k_{18} \cdot x_{2} / \left(x_{2} + k_{19} \cdot x_{4}\right) / \left(\left(1 + x_{5} / k_{16}\right) \cdot \left(1 + x_{2} / k_{17} + x_{4} / k_{20}\right) \cdot \left(1 + x_{7} / k_{18} + x_{9} / k_{21}\right)\right) + -1 \cdot k_{22} \cdot \left(x_{9} \cdot k_{80} - x_{10} \cdot x_{7} / k_{23}\right) / \left(k_{24} \cdot k_{25}\right) / \left(1 + x_{9} / k_{24} + k_{80} / k_{26} + x_{10} / k_{27} + x_{7} / k_{28} + x_{9} \cdot k_{80} / \left(k_{24} \cdot k_{25}\right) + x_{10} \cdot x_{7} / \left(k_{29} \cdot k_{28}\right)\right) + -1 \cdot k_{36} \cdot \left(x_{9} \cdot x_{4} - x_{7} \cdot x_{2} \cdot x_{12} / k_{37}\right) / \left(k_{38} \cdot k_{39}\right) / \left(\left(1 + x_{2} / k_{40} + x_{4} / k_{39}\right) \cdot \left(1 + x_{9} / k_{38} + x_{7} / k_{41}\right) \cdot \left(1 + x_{12} / k_{42}\right)\right)\right) / k_{1}\\ \frac{dx_{10}}{dt} = \left(1 \cdot k_{22} \cdot \left(x_{9} \cdot k_{80} - x_{10} \cdot x_{7} / k_{23}\right) / \left(k_{24} \cdot k_{25}\right) / \left(1 + x_{9} / k_{24} + k_{80} / k_{26} + x_{10} / k_{27} + x_{7} / k_{28} + x_{9} \cdot k_{80} / \left(k_{24} \cdot k_{25}\right) + x_{10} \cdot x_{7} / \left(k_{29} \cdot k_{28}\right)\right) + -1 \cdot k_{30} \cdot \left(x_{10} \cdot x_{1} - k_{75} \cdot x_{3} / k_{31}\right) / \left(k_{32} \cdot k_{33}\right) / \left(\left(1 + x_{10} / k_{33} + k_{75} / k_{34}\right) \cdot \left(1 + x_{1} / k_{32} + x_{3} / k_{35}\right)\right)\right) / k_{1}\\ \frac{dx_{11}}{dt} = 0\\ \frac{dx_{12}}{dt} = \left(1 \cdot k_{36} \cdot \left(x_{9} \cdot x_{4} - x_{7} \cdot x_{2} \cdot x_{12} / k_{37}\right) / \left(k_{38} \cdot k_{39}\right) / \left(\left(1 + x_{2} / k_{40} + x_{4} / k_{39}\right) \cdot \left(1 + x_{9} / k_{38} + x_{7} / k_{41}\right) \cdot \left(1 + x_{12} / k_{42}\right)\right) + -1 \cdot k_{43} \cdot \left(x_{12} \cdot x_{4} - k_{76} \cdot x_{2} / k_{44}\right) / \left(k_{45} \cdot k_{46}\right) / \left(\left(1 + x_{2} / k_{47} + x_{4} / k_{46}\right) \cdot \left(1 + x_{12} / k_{45} + k_{76} / k_{48}\right)\right)\right) / k_{1}\\ \frac{dx_{13}}{dt} = 0\\ \frac{dx_{14}}{dt} = \left(1 \cdot k_{49} \cdot x_{5} / k_{50} \cdot \left(1 - x_{14} / \left(x_{5} \cdot k_{51}\right)\right) \cdot x_{5} / k_{50} + x_{14} / k_{52}^{k_{53} - 1} / \left(1 + x_{5} / k_{50} + x_{14} / k_{52}^{k_{53}}\right) + -1 \cdot k_{54} \cdot x_{14} / k_{55} / \left(1 + x_{14} / k_{55} + x_{15} / k_{56}\right) + -1 \cdot k_{72} \cdot x_{14}\right) / k_{1}\\ \frac{dx_{15}}{dt} = \left(1 \cdot k_{54} \cdot x_{14} / k_{55} / \left(1 + x_{14} / k_{55} + x_{15} / k_{56}\right) + -1 \cdot k_{57} \cdot x_{15} / k_{58} / \left(1 + x_{15} / k_{58}\right) + -1 \cdot k_{59} \cdot \left(x_{15} \cdot x_{4} - k_{78} \cdot x_{2} / k_{60}\right) / \left(k_{61} \cdot k_{62}\right) / \left(\left(1 + x_{15} / k_{61} + k_{78} / k_{63}\right) \cdot \left(1 + x_{4} / k_{62} + x_{2} / k_{64}\right)\right) + 1 \cdot k_{72} \cdot x_{14}\right) / k_{1}\\ \frac{dx_{16}}{dt} = 0\\ \frac{dx_{17}}{dt} = 0\\ \frac{dx_{18}}{dt} = 0\\ \frac{dx_{19}}{dt} = 0