\frac{dx_{1}}{dt} = \left(1 \cdot k_{1} \cdot k_{2} \cdot k_{63} / \left(k_{3} \cdot \left(1 + x_{1} / k_{4}\right) + k_{63}\right) + -1 \cdot k_{1} \cdot k_{14} \cdot x_{1} / k_{15} \cdot k_{61} / k_{16} / \left(\left(1 + k_{61} / k_{16}\right) \cdot \left(1 + x_{2} / k_{17} + x_{1} / k_{15} + \frac{113}{1000} \cdot x_{3} / k_{18} + \frac{23}{400} \cdot x_{3} / k_{19}\right)\right) + -1 \cdot k_{1} \cdot k_{20} / \left(1 + x_{1} / k_{21}\right) \cdot x_{1} / k_{22} \cdot k_{61} / k_{23} / \left(1 + x_{1} / k_{22} + k_{61} / k_{23} + x_{1} \cdot k_{61} / \left(k_{22} \cdot k_{23}\right) + k_{60} / k_{24}\right) + -1 \cdot k_{1} \cdot \left(-k_{38}\right) \cdot \left(x_{5} \cdot k_{59} - x_{1} \cdot \frac{8231}{10000} \cdot x_{3} / k_{39}\right) / \left(x_{5} \cdot k_{59} \cdot \left(1 + x_{1} / k_{40}\right) + k_{41} \cdot \left(k_{59} + k_{42}\right) + k_{43} \cdot x_{5} + k_{38} / \left(k_{44} \cdot k_{39}\right) \cdot \left(k_{45} \cdot x_{1} \cdot \left(1 + k_{59} / k_{42}\right) + \frac{8231}{10000} \cdot x_{3} \cdot \left(k_{46} \cdot \left(1 + k_{43} \cdot x_{5} / \left(k_{42} \cdot k_{41}\right)\right) + x_{1} \cdot \left(1 + x_{5} / k_{47}\right)\right)\right)\right) + 1 \cdot k_{1} \cdot k_{48} / \left(1 + x_{2} / k_{49}\right) \cdot x_{5} / \left(k_{50} \cdot \left(1 + x_{1} / k_{51}\right) + x_{5}\right)\right) / k_{1}\\ \frac{dx_{2}}{dt} = \left(1 \cdot k_{1} \cdot k_{5} \cdot k_{62} / \left(k_{6} \cdot \left(1 + x_{2} / k_{7}\right) + k_{62}\right) + -1 \cdot k_{1} \cdot k_{8} \cdot x_{2} / k_{9} \cdot k_{61} / k_{10} / \left(\left(1 + k_{61} / k_{10}\right) \cdot \left(1 + x_{2} / k_{9} + x_{1} / k_{11} + \frac{113}{1000} \cdot x_{3} / k_{12} + \frac{23}{400} \cdot x_{3} / k_{13}\right)\right) + 1 \cdot k_{1} \cdot k_{48} / \left(1 + x_{2} / k_{49}\right) \cdot x_{5} / \left(k_{50} \cdot \left(1 + x_{1} / k_{51}\right) + x_{5}\right)\right) / k_{1}\\ \frac{dx_{3}}{dt} = \left(1 \cdot k_{1} \cdot k_{8} \cdot x_{2} / k_{9} \cdot k_{61} / k_{10} / \left(\left(1 + k_{61} / k_{10}\right) \cdot \left(1 + x_{2} / k_{9} + x_{1} / k_{11} + \frac{113}{1000} \cdot x_{3} / k_{12} + \frac{23}{400} \cdot x_{3} / k_{13}\right)\right) + 1 \cdot k_{1} \cdot k_{14} \cdot x_{1} / k_{15} \cdot k_{61} / k_{16} / \left(\left(1 + k_{61} / k_{16}\right) \cdot \left(1 + x_{2} / k_{17} + x_{1} / k_{15} + \frac{113}{1000} \cdot x_{3} / k_{18} + \frac{23}{400} \cdot x_{3} / k_{19}\right)\right) + 1 \cdot k_{1} \cdot k_{20} / \left(1 + x_{1} / k_{21}\right) \cdot x_{1} / k_{22} \cdot k_{61} / k_{23} / \left(1 + x_{1} / k_{22} + k_{61} / k_{23} + x_{1} \cdot k_{61} / \left(k_{22} \cdot k_{23}\right) + k_{60} / k_{24}\right) + -2 \cdot k_{1} \cdot k_{25} \cdot \left(\frac{23}{400} \cdot x_{3} \cdot \frac{8231}{10000} \cdot x_{3} - x_{4} \cdot k_{59} / k_{26}\right) / \left(\frac{23}{400} \cdot x_{3} \cdot \frac{8231}{10000} \cdot x_{3} \cdot \left(1 + x_{4} / k_{27}\right) + k_{28} \cdot \left(1 + k_{58} / k_{29}\right) \cdot \left(\frac{8231}{10000} \cdot x_{3} + k_{30}\right) + k_{31} \cdot \frac{23}{400} \cdot x_{3} + k_{25} / \left(k_{32} \cdot k_{26}\right) \cdot \left(k_{33} \cdot x_{4} \cdot \left(1 + \frac{8231}{10000} \cdot x_{3} / k_{30}\right) + k_{59} \cdot \left(k_{34} \cdot \left(1 + k_{31} \cdot \frac{23}{400} \cdot x_{3} / \left(k_{30} \cdot k_{28} \cdot \left(1 + k_{58} / k_{29}\right)\right)\right) + x_{4} \cdot \left(1 + \frac{23}{400} \cdot x_{3} / k_{35}\right)\right)\right)\right) + -1 \cdot k_{1} \cdot \left(-k_{38}\right) \cdot \left(x_{5} \cdot k_{59} - x_{1} \cdot \frac{8231}{10000} \cdot x_{3} / k_{39}\right) / \left(x_{5} \cdot k_{59} \cdot \left(1 + x_{1} / k_{40}\right) + k_{41} \cdot \left(k_{59} + k_{42}\right) + k_{43} \cdot x_{5} + k_{38} / \left(k_{44} \cdot k_{39}\right) \cdot \left(k_{45} \cdot x_{1} \cdot \left(1 + k_{59} / k_{42}\right) + \frac{8231}{10000} \cdot x_{3} \cdot \left(k_{46} \cdot \left(1 + k_{43} \cdot x_{5} / \left(k_{42} \cdot k_{41}\right)\right) + x_{1} \cdot \left(1 + x_{5} / k_{47}\right)\right)\right)\right) + -1 \cdot k_{1} \cdot k_{52} \cdot \frac{23}{400} \cdot x_{3} / \left(k_{53} + \frac{23}{400} \cdot x_{3}\right)\right) / k_{1}\\ \frac{dx_{4}}{dt} = \left(1 \cdot k_{1} \cdot k_{25} \cdot \left(\frac{23}{400} \cdot x_{3} \cdot \frac{8231}{10000} \cdot x_{3} - x_{4} \cdot k_{59} / k_{26}\right) / \left(\frac{23}{400} \cdot x_{3} \cdot \frac{8231}{10000} \cdot x_{3} \cdot \left(1 + x_{4} / k_{27}\right) + k_{28} \cdot \left(1 + k_{58} / k_{29}\right) \cdot \left(\frac{8231}{10000} \cdot x_{3} + k_{30}\right) + k_{31} \cdot \frac{23}{400} \cdot x_{3} + k_{25} / \left(k_{32} \cdot k_{26}\right) \cdot \left(k_{33} \cdot x_{4} \cdot \left(1 + \frac{8231}{10000} \cdot x_{3} / k_{30}\right) + k_{59} \cdot \left(k_{34} \cdot \left(1 + k_{31} \cdot \frac{23}{400} \cdot x_{3} / \left(k_{30} \cdot k_{28} \cdot \left(1 + k_{58} / k_{29}\right)\right)\right) + x_{4} \cdot \left(1 + \frac{23}{400} \cdot x_{3} / k_{35}\right)\right)\right)\right) + -1 \cdot k_{1} \cdot k_{36} \cdot x_{4} / \left(k_{37} + x_{4}\right)\right) / k_{1}\\ \frac{dx_{5}}{dt} = \left(1 \cdot k_{1} \cdot k_{36} \cdot x_{4} / \left(k_{37} + x_{4}\right) + 1 \cdot k_{1} \cdot \left(-k_{38}\right) \cdot \left(x_{5} \cdot k_{59} - x_{1} \cdot \frac{8231}{10000} \cdot x_{3} / k_{39}\right) / \left(x_{5} \cdot k_{59} \cdot \left(1 + x_{1} / k_{40}\right) + k_{41} \cdot \left(k_{59} + k_{42}\right) + k_{43} \cdot x_{5} + k_{38} / \left(k_{44} \cdot k_{39}\right) \cdot \left(k_{45} \cdot x_{1} \cdot \left(1 + k_{59} / k_{42}\right) + \frac{8231}{10000} \cdot x_{3} \cdot \left(k_{46} \cdot \left(1 + k_{43} \cdot x_{5} / \left(k_{42} \cdot k_{41}\right)\right) + x_{1} \cdot \left(1 + x_{5} / k_{47}\right)\right)\right)\right) + -1 \cdot k_{1} \cdot k_{48} / \left(1 + x_{2} / k_{49}\right) \cdot x_{5} / \left(k_{50} \cdot \left(1 + x_{1} / k_{51}\right) + x_{5}\right) + -1 \cdot k_{1} \cdot k_{54} \cdot x_{5} / \left(k_{55} + x_{5}\right)\right) / k_{1}\\ \frac{dx_{6}}{dt} = 0\\ \frac{dx_{7}}{dt} = 0\\ \frac{dx_{8}}{dt} = 0\\ \frac{dx_{9}}{dt} = 0\\ \frac{dx_{10}}{dt} = 0\\ \frac{dx_{11}}{dt} = 0\\ \frac{dx_{12}}{dt} = 0\\ \frac{dx_{13}}{dt} = 0