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