\frac{dx_{1}}{dt} = \left(1 \cdot k_{32} \cdot k_{1} + 1 \cdot k_{32} \cdot k_{2} \cdot x_{14} + -1 \cdot k_{32} \cdot k_{3} \cdot x_{1}\right) / k_{32}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{32} \cdot k_{1} + -1 \cdot k_{32} \cdot k_{3} \cdot x_{2}\right) / k_{32}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{32} \cdot k_{1} + -1 \cdot k_{32} \cdot k_{3} \cdot x_{3}\right) / k_{32}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{32} \cdot k_{4} \cdot x_{1} + -1 \cdot k_{32} \cdot \left(k_{5} + k_{6} \cdot k_{33} \cdot x_{5} + k_{7} \cdot k_{34} \cdot x_{10}\right) \cdot x_{4} + -1 \cdot k_{32} \cdot \left(k_{9} \cdot x_{5} \cdot x_{4} - k_{10} \cdot x_{6}\right) + 1 \cdot k_{32} \cdot \left(k_{11} + k_{12} \cdot k_{33} \cdot x_{5}\right) \cdot x_{6} + 1 \cdot k_{32} \cdot k_{14} \cdot x_{17} + -1 \cdot k_{32} \cdot \left(k_{21} \cdot x_{7} \cdot x_{4} - k_{22} \cdot x_{17}\right) + -1 \cdot k_{32} \cdot \left(k_{21} \cdot x_{10} \cdot x_{4} - k_{22} \cdot x_{11}\right)\right) / k_{32}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{32} \cdot k_{8} \cdot x_{2} + -1 \cdot k_{32} \cdot \left(k_{11} + k_{12} \cdot k_{33} \cdot x_{5}\right) \cdot x_{5} + -1 \cdot k_{32} \cdot \left(k_{9} \cdot x_{5} \cdot x_{4} - k_{10} \cdot x_{6}\right) + 1 \cdot k_{32} \cdot \left(k_{5} + k_{6} \cdot k_{33} \cdot x_{5} + k_{7} \cdot k_{34} \cdot x_{10}\right) \cdot x_{6}\right) / k_{32}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{32} \cdot \left(k_{9} \cdot x_{5} \cdot x_{4} - k_{10} \cdot x_{6}\right) + -1 \cdot k_{32} \cdot \left(k_{11} + k_{12} \cdot k_{33} \cdot x_{5}\right) \cdot x_{6} + -1 \cdot k_{32} \cdot \left(k_{5} + k_{6} \cdot k_{33} \cdot x_{5} + k_{7} \cdot k_{34} \cdot x_{10}\right) \cdot x_{6}\right) / k_{32}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{32} \cdot k_{13} + -1 \cdot k_{32} \cdot k_{14} \cdot x_{7} + -1 \cdot k_{32} \cdot \left(k_{21} \cdot x_{7} \cdot x_{4} - k_{22} \cdot x_{17}\right) + 1 \cdot k_{32} \cdot \left(k_{5} + k_{6} \cdot k_{33} \cdot x_{5} + k_{7} \cdot k_{34} \cdot x_{10}\right) \cdot x_{17} + -1 \cdot k_{32} \cdot \left(k_{19} \cdot x_{7} \cdot x_{9} - k_{20} \cdot x_{10}\right) + 1 \cdot k_{32} \cdot \operatorname{piecewise}(0, x_{12} < 1, \operatorname{piecewise}(1 \cdot x_{10}, x_{12} > 1, \frac{1}{2} \cdot x_{10}))\right) / k_{32}\\
\frac{dx_{8}}{dt} = \left(-1 \cdot k_{32} \cdot k_{15} \cdot x_{5}^{k_{18}} / \left(k_{17}^{k_{18}} + x_{5}^{k_{18}}\right) \cdot x_{8} + 1 \cdot k_{32} \cdot k_{16} \cdot x_{9} + -1 \cdot k_{32} \cdot \operatorname{piecewise}(0, x_{12} < 1, \operatorname{piecewise}(1 \cdot x_{8}, x_{12} > 1, \frac{1}{2} \cdot x_{8}))\right) / k_{32}\\
\frac{dx_{9}}{dt} = \left(1 \cdot k_{32} \cdot k_{15} \cdot x_{5}^{k_{18}} / \left(k_{17}^{k_{18}} + x_{5}^{k_{18}}\right) \cdot x_{8} + -1 \cdot k_{32} \cdot k_{16} \cdot x_{9} + -1 \cdot k_{32} \cdot \left(k_{19} \cdot x_{7} \cdot x_{9} - k_{20} \cdot x_{10}\right) + -1 \cdot k_{32} \cdot \left(k_{19} \cdot x_{17} \cdot x_{9} - k_{20} \cdot x_{11}\right) + -1 \cdot k_{32} \cdot \operatorname{piecewise}(0, x_{12} < 1, \operatorname{piecewise}(1 \cdot x_{9}, x_{12} > 1, \frac{1}{2} \cdot x_{9}))\right) / k_{32}\\
\frac{dx_{10}}{dt} = \left(1 \cdot k_{32} \cdot \left(k_{19} \cdot x_{7} \cdot x_{9} - k_{20} \cdot x_{10}\right) + -1 \cdot k_{32} \cdot \left(k_{21} \cdot x_{10} \cdot x_{4} - k_{22} \cdot x_{11}\right) + 1 \cdot k_{32} \cdot \left(k_{5} + k_{6} \cdot k_{33} \cdot x_{5} + k_{7} \cdot k_{34} \cdot x_{10}\right) \cdot x_{11} + -1 \cdot k_{32} \cdot \operatorname{piecewise}(0, x_{12} < 1, \operatorname{piecewise}(1 \cdot x_{10}, x_{12} > 1, \frac{1}{2} \cdot x_{10}))\right) / k_{32}\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{32} \cdot \left(k_{19} \cdot x_{17} \cdot x_{9} - k_{20} \cdot x_{11}\right) + 1 \cdot k_{32} \cdot \left(k_{21} \cdot x_{10} \cdot x_{4} - k_{22} \cdot x_{11}\right) + -1 \cdot k_{32} \cdot \left(k_{5} + k_{6} \cdot k_{33} \cdot x_{5} + k_{7} \cdot k_{34} \cdot x_{10}\right) \cdot x_{11} + -1 \cdot k_{32} \cdot \operatorname{piecewise}(0, x_{12} < 1, \operatorname{piecewise}(1 \cdot x_{11}, x_{12} > 1, \frac{1}{2} \cdot x_{11}))\right) / k_{32}\\
\frac{dx_{12}}{dt} = 1 \cdot k_{32} \cdot k_{23} \cdot x_{10} / k_{32}\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{32} \cdot k_{27} + 1 \cdot k_{32} \cdot k_{28} \cdot x_{10} + -1 \cdot k_{32} \cdot \left(k_{29} + k_{30} \cdot x_{14} / \left(k_{31} + x_{13}\right)\right) \cdot x_{13}\right) / k_{32}\\
\frac{dx_{14}}{dt} = \left(1 \cdot k_{32} \cdot k_{24} \cdot x_{3} + -1 \cdot k_{32} \cdot k_{25} / \left(k_{26} + x_{13}\right) \cdot x_{14}\right) / k_{32}\\
\frac{dx_{15}}{dt} = 0\\
\frac{dx_{16}}{dt} = 0\\
\frac{dx_{17}}{dt} = \left(-1 \cdot k_{32} \cdot k_{14} \cdot x_{17} + 1 \cdot k_{32} \cdot \left(k_{21} \cdot x_{7} \cdot x_{4} - k_{22} \cdot x_{17}\right) + -1 \cdot k_{32} \cdot \left(k_{5} + k_{6} \cdot k_{33} \cdot x_{5} + k_{7} \cdot k_{34} \cdot x_{10}\right) \cdot x_{17} + -1 \cdot k_{32} \cdot \left(k_{19} \cdot x_{17} \cdot x_{9} - k_{20} \cdot x_{11}\right) + 1 \cdot k_{32} \cdot \operatorname{piecewise}(0, x_{12} < 1, \operatorname{piecewise}(1 \cdot x_{11}, x_{12} > 1, \frac{1}{2} \cdot x_{11}))\right) / k_{32}