\frac{dx_{1}}{dt} = \left(-1 \cdot \left(k_{18} \cdot x_{1} \cdot x_{15} + \left(-k_{19} \cdot x_{16}\right)\right) \cdot k_{13} + 1 \cdot x_{3} \cdot k_{3} \cdot x_{19} \cdot 1 / \left(k_{21} + x_{19}\right) \cdot k_{13} + 1 \cdot x_{3} \cdot k_{7} \cdot x_{5} \cdot 1 / \left(k_{37} + x_{5}\right) \cdot k_{13} + -1 \cdot \left(k_{44} \cdot x_{26} \cdot x_{1} + \left(-k_{45} \cdot x_{2}\right)\right) \cdot k_{13} + -1 \cdot k_{57} \cdot \left(x_{1} + \left(-x_{11}\right)\right) \cdot k_{16}\right) / k_{13}\\
\frac{dx_{2}}{dt} = \left(1 \cdot \left(k_{44} \cdot x_{26} \cdot x_{1} + \left(-k_{45} \cdot x_{2}\right)\right) \cdot k_{13} + -1 \cdot \left(k_{48} \cdot x_{4} \cdot x_{2} + \left(-k_{49} \cdot x_{5}\right)\right) \cdot k_{13} + -1 \cdot k_{51} \cdot \left(x_{2} + \left(-x_{13}\right)\right) \cdot k_{16}\right) / k_{13}\\
\frac{dx_{3}}{dt} = 0 / k_{13}\\
\frac{dx_{4}}{dt} = \left(1 \cdot x_{3} \cdot k_{3} \cdot x_{19} \cdot 1 / \left(k_{21} + x_{19}\right) \cdot k_{13} + -1 \cdot \left(k_{26} \cdot x_{16} \cdot x_{4} + \left(-k_{27} \cdot x_{19}\right)\right) \cdot k_{13} + 1 \cdot x_{3} \cdot k_{7} \cdot x_{5} \cdot 1 / \left(k_{37} + x_{5}\right) \cdot k_{13} + -1 \cdot \left(k_{48} \cdot x_{4} \cdot x_{2} + \left(-k_{49} \cdot x_{5}\right)\right) \cdot k_{13}\right) / k_{13}\\
\frac{dx_{5}}{dt} = \left(-1 \cdot x_{3} \cdot k_{7} \cdot x_{5} \cdot 1 / \left(k_{37} + x_{5}\right) \cdot k_{13} + 1 \cdot \left(k_{48} \cdot x_{4} \cdot x_{2} + \left(-k_{49} \cdot x_{5}\right)\right) \cdot k_{13}\right) / k_{13}\\
\frac{dx_{6}}{dt} = \left(1 \cdot \left(k_{28} \cdot x_{22} + \left(-k_{29} \cdot x_{6} \cdot x_{21}\right)\right) \cdot k_{15} + 4 \cdot \frac{1}{4} \cdot k_{40} \cdot x_{8} \cdot x_{10} \cdot 1 / \left(k_{41} + x_{7} + x_{10}\right) \cdot k_{15} + 1 \cdot \left(k_{42} \cdot x_{10} + \left(-k_{43} \cdot x_{7} \cdot x_{6}\right)\right) \cdot k_{15} + 4 \cdot \frac{1}{4} \cdot k_{46} \cdot x_{8} \cdot x_{22} \cdot 1 / \left(k_{47} + x_{7} + x_{22}\right) \cdot k_{15} + 1 \cdot k_{53} \cdot \left(x_{24} + \left(-x_{6}\right)\right) \cdot k_{16}\right) / k_{15}\\
\frac{dx_{7}}{dt} = \left(-1 \cdot \frac{3}{4} \cdot k_{38} \cdot x_{8} \cdot x_{7} \cdot 1 / \left(k_{39} + x_{7} + x_{10}\right) \cdot k_{15} + 1 \cdot \frac{1}{4} \cdot k_{40} \cdot x_{8} \cdot x_{10} \cdot 1 / \left(k_{41} + x_{7} + x_{10}\right) \cdot k_{15} + 1 \cdot \left(k_{42} \cdot x_{10} + \left(-k_{43} \cdot x_{7} \cdot x_{6}\right)\right) \cdot k_{15} + 1 \cdot k_{67} \cdot \left(x_{12} + \left(-x_{7}\right)\right) \cdot k_{16}\right) / k_{15}\\
\frac{dx_{8}}{dt} = 0 / k_{15}\\
\frac{dx_{9}}{dt} = \left(-1 \cdot \left(k_{33} \cdot x_{9} \cdot x_{11} + \left(-k_{34} \cdot x_{13}\right)\right) \cdot k_{15} + 1 \cdot \frac{3}{4} \cdot k_{38} \cdot x_{8} \cdot x_{7} \cdot 1 / \left(k_{39} + x_{7} + x_{10}\right) \cdot k_{15} + 3 \cdot \frac{1}{4} \cdot k_{40} \cdot x_{8} \cdot x_{10} \cdot 1 / \left(k_{41} + x_{7} + x_{10}\right) \cdot k_{15} + 1 \cdot k_{69} \cdot \left(x_{26} + \left(-x_{9}\right)\right) \cdot k_{16}\right) / k_{15}\\
\frac{dx_{10}}{dt} = \left(-4 \cdot \frac{1}{4} \cdot k_{40} \cdot x_{8} \cdot x_{10} \cdot 1 / \left(k_{41} + x_{7} + x_{10}\right) \cdot k_{15} + -1 \cdot \left(k_{42} \cdot x_{10} + \left(-k_{43} \cdot x_{7} \cdot x_{6}\right)\right) \cdot k_{15} + 1 \cdot k_{55} \cdot \left(x_{14} + \left(-x_{10}\right)\right) \cdot k_{16}\right) / k_{15}\\
\frac{dx_{11}}{dt} = \left(-1 \cdot \left(k_{22} \cdot x_{11} \cdot x_{23} + \left(-k_{23} \cdot x_{20}\right)\right) \cdot k_{15} + -1 \cdot \left(k_{33} \cdot x_{9} \cdot x_{11} + \left(-k_{34} \cdot x_{13}\right)\right) \cdot k_{15} + 1 \cdot k_{57} \cdot \left(x_{1} + \left(-x_{11}\right)\right) \cdot k_{16}\right) / k_{15}\\
\frac{dx_{12}}{dt} = \left(1 \cdot k_{5} \cdot x_{3} \cdot x_{26} \cdot 1 / \left(k_{32} + x_{26}\right) \cdot k_{13} + -1 \cdot \left(k_{35} \cdot x_{12} \cdot x_{24} + \left(-k_{36} \cdot x_{14}\right)\right) \cdot k_{13} + 1 \cdot x_{3} \cdot k_{7} \cdot x_{5} \cdot 1 / \left(k_{37} + x_{5}\right) \cdot k_{13} + -1 \cdot k_{67} \cdot \left(x_{12} + \left(-x_{7}\right)\right) \cdot k_{16}\right) / k_{13}\\
\frac{dx_{13}}{dt} = \left(1 \cdot \left(k_{33} \cdot x_{9} \cdot x_{11} + \left(-k_{34} \cdot x_{13}\right)\right) \cdot k_{15} + 1 \cdot k_{51} \cdot \left(x_{2} + \left(-x_{13}\right)\right) \cdot k_{16}\right) / k_{15}\\
\frac{dx_{14}}{dt} = \left(1 \cdot \left(k_{35} \cdot x_{12} \cdot x_{24} + \left(-k_{36} \cdot x_{14}\right)\right) \cdot k_{13} + -1 \cdot k_{55} \cdot \left(x_{14} + \left(-x_{10}\right)\right) \cdot k_{16}\right) / k_{13}\\
\frac{dx_{15}}{dt} = \left(-1 \cdot \left(k_{18} \cdot x_{1} \cdot x_{15} + \left(-k_{19} \cdot x_{16}\right)\right) \cdot k_{13} + -1 \cdot k_{1} \cdot x_{3} \cdot x_{15} \cdot 1 / \left(k_{20} + x_{15}\right) \cdot k_{13} + -1 \cdot k_{65} \cdot \left(x_{15} + \left(-x_{23}\right)\right) \cdot k_{16}\right) / k_{13}\\
\frac{dx_{16}}{dt} = \left(1 \cdot \left(k_{18} \cdot x_{1} \cdot x_{15} + \left(-k_{19} \cdot x_{16}\right)\right) \cdot k_{13} + -1 \cdot \left(k_{26} \cdot x_{16} \cdot x_{4} + \left(-k_{27} \cdot x_{19}\right)\right) \cdot k_{13} + -1 \cdot k_{61} \cdot \left(x_{16} + \left(-x_{20}\right)\right) \cdot k_{16}\right) / k_{13}\\
\frac{dx_{17}}{dt} = \left(1 \cdot k_{1} \cdot x_{3} \cdot x_{15} \cdot 1 / \left(k_{20} + x_{15}\right) \cdot k_{13} + 1 \cdot x_{3} \cdot k_{3} \cdot x_{19} \cdot 1 / \left(k_{21} + x_{19}\right) \cdot k_{13} + -1 \cdot \left(k_{24} \cdot x_{24} \cdot x_{17} + \left(-k_{25} \cdot x_{18}\right)\right) \cdot k_{13} + 1 \cdot \operatorname{piecewise}(k_{9} \cdot \frac{16611295681}{10000000000000} \cdot x_{25}, \operatorname{and}\left(t > k_{10}, t < k_{10} + k_{11}\right), 0) \cdot k_{13} \cdot 1 + -1 \cdot k_{59} \cdot \left(x_{17} + \left(-x_{21}\right)\right) \cdot k_{16}\right) / k_{13}\\
\frac{dx_{18}}{dt} = \left(1 \cdot \left(k_{24} \cdot x_{24} \cdot x_{17} + \left(-k_{25} \cdot x_{18}\right)\right) \cdot k_{13} + -1 \cdot k_{63} \cdot \left(x_{18} + \left(-x_{22}\right)\right) \cdot k_{16}\right) / k_{13}\\
\frac{dx_{19}}{dt} = \left(-1 \cdot x_{3} \cdot k_{3} \cdot x_{19} \cdot 1 / \left(k_{21} + x_{19}\right) \cdot k_{13} + 1 \cdot \left(k_{26} \cdot x_{16} \cdot x_{4} + \left(-k_{27} \cdot x_{19}\right)\right) \cdot k_{13}\right) / k_{13}\\
\frac{dx_{20}}{dt} = \left(1 \cdot \left(k_{22} \cdot x_{11} \cdot x_{23} + \left(-k_{23} \cdot x_{20}\right)\right) \cdot k_{15} + 1 \cdot k_{61} \cdot \left(x_{16} + \left(-x_{20}\right)\right) \cdot k_{16}\right) / k_{15}\\
\frac{dx_{21}}{dt} = \left(1 \cdot \left(k_{28} \cdot x_{22} + \left(-k_{29} \cdot x_{6} \cdot x_{21}\right)\right) \cdot k_{15} + -1 \cdot \frac{3}{4} \cdot k_{30} \cdot x_{8} \cdot x_{21} \cdot 1 / \left(k_{31} + x_{21} + x_{10}\right) \cdot k_{15} + 1 \cdot \frac{1}{4} \cdot k_{46} \cdot x_{8} \cdot x_{22} \cdot 1 / \left(k_{47} + x_{7} + x_{22}\right) \cdot k_{15} + 1 \cdot k_{59} \cdot \left(x_{17} + \left(-x_{21}\right)\right) \cdot k_{16}\right) / k_{15}\\
\frac{dx_{22}}{dt} = \left(-1 \cdot \left(k_{28} \cdot x_{22} + \left(-k_{29} \cdot x_{6} \cdot x_{21}\right)\right) \cdot k_{15} + -4 \cdot \frac{1}{4} \cdot k_{46} \cdot x_{8} \cdot x_{22} \cdot 1 / \left(k_{47} + x_{7} + x_{22}\right) \cdot k_{15} + 1 \cdot k_{63} \cdot \left(x_{18} + \left(-x_{22}\right)\right) \cdot k_{16}\right) / k_{15}\\
\frac{dx_{23}}{dt} = \left(-1 \cdot \left(k_{22} \cdot x_{11} \cdot x_{23} + \left(-k_{23} \cdot x_{20}\right)\right) \cdot k_{15} + 1 \cdot \frac{3}{4} \cdot k_{30} \cdot x_{8} \cdot x_{21} \cdot 1 / \left(k_{31} + x_{21} + x_{10}\right) \cdot k_{15} + 3 \cdot \frac{1}{4} \cdot k_{46} \cdot x_{8} \cdot x_{22} \cdot 1 / \left(k_{47} + x_{7} + x_{22}\right) \cdot k_{15} + 1 \cdot k_{65} \cdot \left(x_{15} + \left(-x_{23}\right)\right) \cdot k_{16}\right) / k_{15}\\
\frac{dx_{24}}{dt} = \left(-1 \cdot \left(k_{24} \cdot x_{24} \cdot x_{17} + \left(-k_{25} \cdot x_{18}\right)\right) \cdot k_{13} + -1 \cdot \left(k_{35} \cdot x_{12} \cdot x_{24} + \left(-k_{36} \cdot x_{14}\right)\right) \cdot k_{13} + -1 \cdot k_{53} \cdot \left(x_{24} + \left(-x_{6}\right)\right) \cdot k_{16}\right) / k_{13}\\
\frac{dx_{25}}{dt} = 0 / k_{13}\\
\frac{dx_{26}}{dt} = \left(-1 \cdot k_{5} \cdot x_{3} \cdot x_{26} \cdot 1 / \left(k_{32} + x_{26}\right) \cdot k_{13} + -1 \cdot \left(k_{44} \cdot x_{26} \cdot x_{1} + \left(-k_{45} \cdot x_{2}\right)\right) \cdot k_{13} + -1 \cdot k_{69} \cdot \left(x_{26} + \left(-x_{9}\right)\right) \cdot k_{16}\right) / k_{13}