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