\frac{dx_{1}}{dt} = \left(1 \cdot k_{42} \cdot 13 \cdot \operatorname{piecewise}(k_{14} \cdot \operatorname{piecewise}(0, \operatorname{and}\left(k_{71} \cdot \frac{1}{2} \cdot k_{18} \cdot x_{7} = 0, k_{72} \cdot \left(x_{22} + k_{15}\right) = 0\right), 2 \cdot k_{72} \cdot \left(x_{22} + k_{15}\right) \cdot k_{78} / k_{14} / \left(k_{71} \cdot \frac{1}{2} \cdot k_{18} \cdot x_{7} - k_{72} \cdot \left(x_{22} + k_{15}\right) + k_{71} \cdot \frac{1}{2} \cdot k_{18} \cdot x_{7} \cdot k_{77} / k_{14} + k_{72} \cdot \left(x_{22} + k_{15}\right) \cdot k_{78} / k_{14} + \sqrt{k_{71} \cdot \frac{1}{2} \cdot k_{18} \cdot x_{7} - k_{72} \cdot \left(x_{22} + k_{15}\right) + k_{71} \cdot \frac{1}{2} \cdot k_{18} \cdot x_{7} \cdot k_{77} / k_{14} + k_{72} \cdot \left(x_{22} + k_{15}\right) \cdot k_{78} / k_{14}^{2} - 4 \cdot \left(k_{71} \cdot \frac{1}{2} \cdot k_{18} \cdot x_{7} - k_{72} \cdot \left(x_{22} + k_{15}\right)\right) \cdot k_{72} \cdot \left(x_{22} + k_{15}\right) \cdot k_{78} / k_{14}}\right)) / k_{14}, k_{20} = 1, 1) + -1 \cdot k_{56} \cdot x_{1} + -1 \cdot k_{74} \cdot x_{2} \cdot x_{1}\right) / k_{95}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{11} \cdot k_{16} \cdot \left(x_{12} - x_{3} - x_{4} - x_{5} - x_{2}\right) \cdot \left(x_{1} - x_{2}\right) + -1 \cdot k_{11} \cdot k_{17} \cdot x_{2}\right) / k_{95}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{11} \cdot k_{16} \cdot \left(x_{12} - x_{3} - x_{4} - x_{5} - x_{2}\right) \cdot \left(k_{12} - x_{3} - k_{18} \cdot x_{6}\right) + -1 \cdot k_{11} \cdot k_{17} \cdot x_{3}\right) / k_{95}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{11} \cdot k_{16} \cdot \left(x_{12} - x_{3} - x_{4} - x_{5} - x_{2}\right) \cdot \left(x_{13} - x_{4}\right) + -1 \cdot k_{11} \cdot k_{17} \cdot x_{4}\right) / k_{95}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{11} \cdot k_{16} \cdot \left(x_{12} - x_{3} - x_{4} - x_{5} - x_{2}\right) \cdot \left(k_{13} - x_{5} - k_{18} \cdot x_{7}\right) + -1 \cdot k_{17} \cdot k_{11} \cdot x_{5}\right) / k_{95}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{11} \cdot k_{94} \cdot k_{12} - x_{3} - k_{18} \cdot x_{6}^{k_{18}} + -1 \cdot k_{11} \cdot k_{17} \cdot x_{6}\right) / k_{95}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{11} \cdot k_{94} \cdot \operatorname{piecewise}(x_{1} - x_{2}, k_{75} = 1, 1) \cdot k_{13} - x_{5} - k_{18} \cdot x_{7}^{k_{18}} + -1 \cdot k_{11} \cdot k_{17} \cdot x_{7} / \left(1 + k_{21} \cdot \left(x_{1} - x_{2}\right)\right)\right) / k_{95}\\
\frac{dx_{8}}{dt} = \left(1 \cdot k_{37} \cdot \left(k_{22} + k_{30} \cdot x_{15}\right) / \left(k_{24} + k_{22} + k_{30} \cdot x_{15}\right) + -1 \cdot k_{50} \cdot x_{8} + -1 \cdot \frac{1}{2} \cdot k_{35} \cdot \left(x_{8} + \frac{1}{2} \cdot k_{18} \cdot x_{6} + k_{36} - \sqrt{x_{8} + \frac{1}{2} \cdot k_{18} \cdot x_{6} + k_{36}^{2} - 4 \cdot x_{8} \cdot \frac{1}{2} \cdot k_{18} \cdot x_{6}}\right)\right) / k_{96}\\
\frac{dx_{9}}{dt} = \left(1 \cdot \frac{1}{2} \cdot k_{35} \cdot \left(x_{8} + \frac{1}{2} \cdot k_{18} \cdot x_{6} + k_{36} - \sqrt{x_{8} + \frac{1}{2} \cdot k_{18} \cdot x_{6} + k_{36}^{2} - 4 \cdot x_{8} \cdot \frac{1}{2} \cdot k_{18} \cdot x_{6}}\right) + -1 \cdot k_{51} \cdot x_{9}\right) / k_{96}\\
\frac{dx_{10}}{dt} = \left(1 \cdot k_{43} \cdot x_{9} + -1 \cdot k_{57} \cdot x_{10}\right) / k_{96}\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{38} \cdot \left(k_{23} + k_{29} \cdot x_{10} + k_{31} \cdot x_{15}\right) / \left(k_{25} + k_{23} + k_{29} \cdot x_{10} + k_{31} \cdot x_{15}\right) + -1 \cdot k_{52} \cdot x_{11}\right) / k_{96}\\
\frac{dx_{12}}{dt} = \left(1 \cdot k_{44} \cdot x_{11} + -1 \cdot k_{58} \cdot x_{12}\right) / k_{95}\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{45} \cdot k_{66} + -1 \cdot k_{59} \cdot x_{13} + -1 \cdot k_{69} \cdot \left(x_{13} - x_{4}\right) + -1 \cdot k_{73} \cdot x_{17} \cdot x_{13}\right) / k_{95}\\
\frac{dx_{14}}{dt} = \left(1 \cdot k_{69} \cdot \left(x_{13} - x_{4}\right) + -1 \cdot k_{60} \cdot x_{14} + -1 \cdot k_{70} \cdot x_{14}\right) / k_{97}\\
\frac{dx_{15}}{dt} = \left(1 \cdot k_{70} \cdot x_{14} + -1 \cdot k_{61} \cdot x_{15}\right) / k_{96}\\
\frac{dx_{16}}{dt} = \left(1 \cdot k_{39} \cdot x_{15} / \left(k_{26} + x_{15}\right) + -1 \cdot k_{53} \cdot x_{16}\right) / k_{96}\\
\frac{dx_{17}}{dt} = \left(1 \cdot k_{46} \cdot x_{16} + -1 \cdot k_{62} \cdot x_{17}\right) / k_{95}\\
\frac{dx_{18}}{dt} = \left(1 \cdot k_{47} \cdot k_{68} / \left(1 + k_{14} \cdot \operatorname{piecewise}(0, \operatorname{and}\left(k_{71} \cdot \frac{1}{2} \cdot k_{18} \cdot x_{7} = 0, k_{72} \cdot \left(x_{22} + k_{15}\right) = 0\right), 2 \cdot k_{72} \cdot \left(x_{22} + k_{15}\right) \cdot k_{78} / k_{14} / \left(k_{71} \cdot \frac{1}{2} \cdot k_{18} \cdot x_{7} - k_{72} \cdot \left(x_{22} + k_{15}\right) + k_{71} \cdot \frac{1}{2} \cdot k_{18} \cdot x_{7} \cdot k_{77} / k_{14} + k_{72} \cdot \left(x_{22} + k_{15}\right) \cdot k_{78} / k_{14} + \sqrt{k_{71} \cdot \frac{1}{2} \cdot k_{18} \cdot x_{7} - k_{72} \cdot \left(x_{22} + k_{15}\right) + k_{71} \cdot \frac{1}{2} \cdot k_{18} \cdot x_{7} \cdot k_{77} / k_{14} + k_{72} \cdot \left(x_{22} + k_{15}\right) \cdot k_{78} / k_{14}^{2} - 4 \cdot \left(k_{71} \cdot \frac{1}{2} \cdot k_{18} \cdot x_{7} - k_{72} \cdot \left(x_{22} + k_{15}\right)\right) \cdot k_{72} \cdot \left(x_{22} + k_{15}\right) \cdot k_{78} / k_{14}}\right)) / k_{76}^{k_{19}}\right) + -1 \cdot k_{63} \cdot x_{18}\right) / k_{96}\\
\frac{dx_{19}}{dt} = \left(1 \cdot k_{40} \cdot \left(k_{32} \cdot x_{18} + k_{34} \cdot x_{15}\right) / \left(k_{27} + k_{32} \cdot x_{18} + k_{34} \cdot x_{15}\right) + -1 \cdot k_{54} \cdot x_{19}\right) / k_{96}\\
\frac{dx_{20}}{dt} = \left(1 \cdot k_{48} \cdot x_{19} + -1 \cdot k_{64} \cdot x_{20}\right) / k_{96}\\
\frac{dx_{21}}{dt} = \left(1 \cdot k_{41} \cdot k_{33} \cdot x_{20} / \left(k_{28} + k_{33} \cdot x_{20}\right) + -1 \cdot k_{55} \cdot x_{21}\right) / k_{96}\\
\frac{dx_{22}}{dt} = \left(1 \cdot k_{49} \cdot x_{21} + -1 \cdot k_{65} \cdot x_{22}\right) / k_{96}\\
\frac{dx_{23}}{dt} = \left(1 \cdot k_{79} / \left(1 + k_{81} \cdot x_{20}\right) + -1 \cdot k_{80} \cdot x_{23}\right) / k_{98}\\
\frac{dx_{24}}{dt} = \left(1 \cdot k_{84} \cdot k_{83} + 1 \cdot k_{85} \cdot \left(x_{25} - x_{27}\right) \cdot k_{83} + -1 \cdot k_{84} \cdot x_{24} + -1 \cdot k_{85} \cdot \left(x_{25} - x_{27}\right) \cdot x_{24} + -1 \cdot k_{86} \cdot x_{24}\right) / k_{98}\\
\frac{dx_{25}}{dt} = \left(1 \cdot k_{89} + 1 \cdot k_{90} \cdot k_{82} \cdot x_{20} + -1 \cdot k_{91} \cdot x_{25}\right) / k_{96}\\
\frac{dx_{26}}{dt} = \left(1 \cdot k_{87} \cdot \left(x_{24} - x_{26}\right) \cdot \left(x_{23} - x_{27} - x_{26}\right) + -1 \cdot k_{88} \cdot x_{26} + -1 \cdot k_{86} \cdot x_{26}\right) / k_{98}\\
\frac{dx_{27}}{dt} = \left(1 \cdot k_{92} \cdot \left(x_{25} - x_{27}\right) \cdot \left(x_{23} - x_{27} - x_{26}\right) + -1 \cdot k_{93} \cdot x_{27} + -1 \cdot k_{91} \cdot x_{27}\right) / k_{98}