\frac{dx_{1}}{dt} = \left(-1 \cdot k_{14} \cdot \operatorname{piecewise}(k_{1} / \frac{111}{10}, k_{13} = 1, k_{1} / \frac{41}{5}) \cdot x_{7} \cdot x_{1} + 1 \cdot k_{14} \cdot k_{1} \cdot x_{2} + 1 \cdot k_{14} \cdot k_{7} \cdot x_{2} + -1 \cdot k_{14} \cdot k_{5} \cdot x_{1} + 1 \cdot k_{14} \cdot k_{6}\right) / k_{14}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{14} \cdot \operatorname{piecewise}(k_{1} / \frac{111}{10}, k_{13} = 1, k_{1} / \frac{41}{5}) \cdot x_{7} \cdot x_{1} + -1 \cdot k_{14} \cdot k_{1} \cdot x_{2} + -1 \cdot k_{14} \cdot k_{8} \cdot x_{2}\right) / k_{14}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{14} \cdot k_{5} \cdot x_{1} + -1 \cdot k_{14} \cdot \operatorname{piecewise}(\operatorname{piecewise}(k_{1} \cdot 8, k_{13} = 1, k_{1} \cdot 5) / 1000, k_{13} = 1, \operatorname{piecewise}(k_{1} \cdot 8, k_{13} = 1, k_{1} \cdot 5) / 3000) \cdot x_{5} \cdot x_{3} + 1 \cdot k_{14} \cdot \operatorname{piecewise}(k_{1} \cdot 8, k_{13} = 1, k_{1} \cdot 5) \cdot x_{4} + -1 \cdot k_{14} \cdot k_{10} \cdot x_{3}\right) / k_{14}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{14} \cdot k_{8} \cdot x_{2} + 1 \cdot k_{14} \cdot \operatorname{piecewise}(\operatorname{piecewise}(k_{1} \cdot 8, k_{13} = 1, k_{1} \cdot 5) / 1000, k_{13} = 1, \operatorname{piecewise}(k_{1} \cdot 8, k_{13} = 1, k_{1} \cdot 5) / 3000) \cdot x_{5} \cdot x_{3} + -1 \cdot k_{14} \cdot \operatorname{piecewise}(k_{1} \cdot 8, k_{13} = 1, k_{1} \cdot 5) \cdot x_{4} + -1 \cdot k_{14} \cdot k_{10} \cdot x_{4}\right) / k_{14}\\
\frac{dx_{5}}{dt} = \left(-1 \cdot k_{14} \cdot \left(\operatorname{piecewise}(k_{1} / \frac{111}{10}, k_{13} = 1, k_{1} / \frac{41}{5}) \cdot x_{5} \cdot x_{3} - \operatorname{piecewise}(k_{1} \cdot 8, k_{13} = 1, k_{1} \cdot 5) \cdot x_{4}\right) / \left(k_{11} \cdot k_{12}\right) + -1 \cdot k_{14} \cdot k_{9} \cdot x_{5}\right) / k_{14}\\
\frac{dx_{6}}{dt} = 1 \cdot k_{14} \cdot k_{10} \cdot x_{4} / k_{14}\\
\frac{dx_{7}}{dt} = -1 \cdot k_{14} \cdot \left(\operatorname{piecewise}(k_{1} / \frac{111}{10}, k_{13} = 1, k_{1} / \frac{41}{5}) \cdot x_{7} \cdot x_{1} - k_{1} \cdot x_{2} - k_{9} \cdot x_{5} \cdot k_{11} \cdot k_{12}\right) \cdot x_{8} / k_{12} / k_{14}\\
\frac{dx_{8}}{dt} = \operatorname{piecewise}(\left(600 \cdot x_{2} / \left(250 + x_{2}\right) - 200\right) \cdot 1000, 600 \cdot x_{2} / \left(250 + x_{2}\right) - 200 > 0, 0)