\frac{dx_{1}}{dt} = \left(-1 \cdot k_{47} \cdot k_{40} \cdot x_{1} \cdot x_{2} + -1 \cdot k_{47} \cdot k_{38} \cdot x_{10} + 1 \cdot k_{47} \cdot k_{27} \cdot x_{3}\right) / k_{47}\\
\frac{dx_{2}}{dt} = \left(-1 \cdot k_{47} \cdot k_{40} \cdot x_{1} \cdot x_{2} + -1 \cdot k_{47} \cdot k_{19} \cdot x_{2} \cdot k_{46} \cdot k_{4} \cdot \operatorname{piecewise}(1 - \exp\left(\left(-\left(t - k_{6}\right)\right) / k_{8}\right), \operatorname{and}\left(t \ge k_{6}, t \le k_{10}\right), \operatorname{piecewise}(\exp\left(\left(-\left(t - k_{10}\right)\right) / k_{8}\right), t > k_{10}, 0)) + 1 \cdot k_{47} \cdot k_{33} \cdot x_{17} + 1 \cdot k_{47} \cdot k_{27} \cdot x_{3}\right) / k_{47}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{47} \cdot k_{40} \cdot x_{1} \cdot x_{2} + -1 \cdot k_{47} \cdot k_{41} \cdot x_{3} \cdot x_{4} \cdot k_{45} \cdot \operatorname{piecewise}(k_{3} \cdot \left(1 - \exp\left(\left(-\left(t - k_{5}\right)\right) / k_{7}\right)\right), \operatorname{and}\left(t \ge k_{5}, t \le k_{9}\right), \operatorname{piecewise}(k_{3} \cdot \exp\left(\left(-\left(t - k_{5}\right)\right) / k_{7}\right), t \ge k_{9}, 0)) + -1 \cdot k_{47} \cdot k_{27} \cdot x_{3}\right) / k_{47}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot k_{47} \cdot k_{41} \cdot x_{3} \cdot x_{4} \cdot k_{45} \cdot \operatorname{piecewise}(k_{3} \cdot \left(1 - \exp\left(\left(-\left(t - k_{5}\right)\right) / k_{7}\right)\right), \operatorname{and}\left(t \ge k_{5}, t \le k_{9}\right), \operatorname{piecewise}(k_{3} \cdot \exp\left(\left(-\left(t - k_{5}\right)\right) / k_{7}\right), t \ge k_{9}, 0)) + 1 \cdot k_{47} \cdot k_{38} \cdot x_{10}\right) / k_{47}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{47} \cdot k_{41} \cdot x_{3} \cdot x_{4} \cdot k_{45} \cdot \operatorname{piecewise}(k_{3} \cdot \left(1 - \exp\left(\left(-\left(t - k_{5}\right)\right) / k_{7}\right)\right), \operatorname{and}\left(t \ge k_{5}, t \le k_{9}\right), \operatorname{piecewise}(k_{3} \cdot \exp\left(\left(-\left(t - k_{5}\right)\right) / k_{7}\right), t \ge k_{9}, 0)) + -1 \cdot k_{47} \cdot k_{11} \cdot x_{5} \cdot x_{6} + -1 \cdot k_{47} \cdot k_{15} \cdot x_{5} \cdot x_{13}\right) / k_{47}\\
\frac{dx_{6}}{dt} = \left(-1 \cdot k_{47} \cdot k_{11} \cdot x_{5} \cdot x_{6} + -1 \cdot k_{47} \cdot k_{14} \cdot x_{6} \cdot x_{10} + 1 \cdot k_{47} \cdot k_{36} \cdot x_{9}\right) / k_{47}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{47} \cdot k_{11} \cdot x_{5} \cdot x_{6} + -1 \cdot k_{47} \cdot k_{12} \cdot x_{7}\right) / k_{47}\\
\frac{dx_{8}}{dt} = \left(1 \cdot k_{47} \cdot k_{12} \cdot x_{7} + -1 \cdot k_{47} \cdot k_{13} \cdot x_{8} + 1 \cdot k_{47} \cdot k_{14} \cdot x_{6} \cdot x_{10}\right) / k_{47}\\
\frac{dx_{9}}{dt} = \left(1 \cdot k_{47} \cdot k_{13} \cdot x_{8} + -1 \cdot k_{47} \cdot k_{36} \cdot x_{9}\right) / k_{47}\\
\frac{dx_{10}}{dt} = \left(1 \cdot k_{47} \cdot k_{13} \cdot x_{8} + -1 \cdot k_{47} \cdot k_{14} \cdot x_{6} \cdot x_{10} + -1 \cdot k_{47} \cdot k_{38} \cdot x_{10} + 1 \cdot k_{47} \cdot k_{17} \cdot x_{15} + -1 \cdot k_{47} \cdot k_{18} \cdot x_{10} \cdot x_{13}\right) / k_{47}\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{47} \cdot k_{38} \cdot x_{10} + -1 \cdot k_{47} \cdot k_{32} \cdot x_{11}\right) / k_{47}\\
\frac{dx_{12}}{dt} = 0\\
\frac{dx_{13}}{dt} = \left(-1 \cdot k_{47} \cdot k_{15} \cdot x_{5} \cdot x_{13} + -1 \cdot k_{47} \cdot k_{18} \cdot x_{10} \cdot x_{13} + -1 \cdot k_{47} \cdot \left(k_{34} \cdot x_{13} \cdot x_{17} + k_{37} \cdot x_{13} \cdot x_{11}\right) + 1 \cdot k_{47} \cdot \left(k_{35} \cdot x_{16} + k_{43} \cdot x_{16} \cdot x_{9}\right) + 2 \cdot k_{47} \cdot k_{20} \cdot x_{18} + -2 \cdot k_{47} \cdot k_{39} \cdot x_{13} \cdot x_{19} + 1 \cdot k_{47} \cdot k_{23} \cdot x_{23} + -1 \cdot k_{47} \cdot k_{24} \cdot x_{13} \cdot x_{24}\right) / k_{47}\\
\frac{dx_{14}}{dt} = \left(1 \cdot k_{47} \cdot k_{15} \cdot x_{5} \cdot x_{13} + -1 \cdot k_{47} \cdot k_{16} \cdot x_{14}\right) / k_{47}\\
\frac{dx_{15}}{dt} = \left(1 \cdot k_{47} \cdot k_{16} \cdot x_{14} + -1 \cdot k_{47} \cdot k_{17} \cdot x_{15} + 1 \cdot k_{47} \cdot k_{18} \cdot x_{10} \cdot x_{13}\right) / k_{47}\\
\frac{dx_{16}}{dt} = \left(1 \cdot k_{47} \cdot k_{17} \cdot x_{15} + 1 \cdot k_{47} \cdot \left(k_{34} \cdot x_{13} \cdot x_{17} + k_{37} \cdot x_{13} \cdot x_{11}\right) + -1 \cdot k_{47} \cdot \left(k_{35} \cdot x_{16} + k_{43} \cdot x_{16} \cdot x_{9}\right)\right) / k_{47}\\
\frac{dx_{17}}{dt} = \left(1 \cdot k_{47} \cdot k_{19} \cdot x_{2} \cdot k_{46} \cdot k_{4} \cdot \operatorname{piecewise}(1 - \exp\left(\left(-\left(t - k_{6}\right)\right) / k_{8}\right), \operatorname{and}\left(t \ge k_{6}, t \le k_{10}\right), \operatorname{piecewise}(\exp\left(\left(-\left(t - k_{10}\right)\right) / k_{8}\right), t > k_{10}, 0)) + -1 \cdot k_{47} \cdot k_{33} \cdot x_{17}\right) / k_{47}\\
\frac{dx_{18}}{dt} = \left(-1 \cdot k_{47} \cdot k_{20} \cdot x_{18} + 1 \cdot k_{47} \cdot k_{39} \cdot x_{13} \cdot x_{19}\right) / k_{47}\\
\frac{dx_{19}}{dt} = \left(1 \cdot k_{47} \cdot k_{20} \cdot x_{18} + -1 \cdot k_{47} \cdot k_{39} \cdot x_{13} \cdot x_{19} + -1 \cdot k_{47} \cdot \left(k_{21} \cdot x_{19} \cdot x_{9} + k_{44} \cdot x_{19} \cdot x_{16}\right) + 1 \cdot k_{47} \cdot k_{28} \cdot x_{20}\right) / k_{47}\\
\frac{dx_{20}}{dt} = \left(1 \cdot k_{47} \cdot \left(k_{21} \cdot x_{19} \cdot x_{9} + k_{44} \cdot x_{19} \cdot x_{16}\right) + -1 \cdot k_{47} \cdot k_{28} \cdot x_{20}\right) / k_{47}\\
\frac{dx_{21}}{dt} = 0\\
\frac{dx_{22}}{dt} = \left(1 \cdot k_{47} \cdot k_{22} \cdot x_{20} + -1 \cdot k_{47} \cdot k_{29} \cdot x_{22}\right) / k_{47}\\
\frac{dx_{23}}{dt} = \left(-1 \cdot k_{47} \cdot k_{23} \cdot x_{23} + 1 \cdot k_{47} \cdot k_{24} \cdot x_{13} \cdot x_{24}\right) / k_{47}\\
\frac{dx_{24}}{dt} = \left(1 \cdot k_{47} \cdot k_{23} \cdot x_{23} + -1 \cdot k_{47} \cdot k_{24} \cdot x_{13} \cdot x_{24} + -1 \cdot k_{47} \cdot k_{25} \cdot x_{24} \cdot x_{16} + -1 \cdot k_{47} \cdot k_{42} \cdot x_{24} \cdot x_{9} + 1 \cdot k_{47} \cdot k_{30} \cdot x_{25}\right) / k_{47}\\
\frac{dx_{25}}{dt} = \left(1 \cdot k_{47} \cdot k_{25} \cdot x_{24} \cdot x_{16} + -1 \cdot k_{47} \cdot k_{30} \cdot x_{25}\right) / k_{47}\\
\frac{dx_{26}}{dt} = \left(1 \cdot k_{47} \cdot k_{26} \cdot x_{25} + -1 \cdot k_{47} \cdot k_{31} \cdot x_{26}\right) / k_{47}