\frac{dx_{1}}{dt} = -1 \cdot k_{14} \cdot k_{1} \cdot x_{2} \cdot x_{1} / k_{14}\\
\frac{dx_{2}}{dt} = \left(-1 \cdot k_{14} \cdot k_{1} \cdot x_{2} \cdot x_{1} + 1 \cdot k_{14} \cdot k_{2} \cdot x_{3} + -1 \cdot k_{14} \cdot k_{7} \cdot k_{9} \cdot \left(k_{10} + \left(1 - k_{10}\right) \cdot \left(1 - \exp\left(-t / k_{11}\right)^{3}\right)\right) \cdot x_{2} + 1 \cdot k_{14} \cdot k_{4} \cdot x_{4}\right) / k_{14}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{14} \cdot k_{1} \cdot x_{2} \cdot x_{1} + -1 \cdot k_{14} \cdot k_{2} \cdot x_{3} + -1 \cdot k_{14} \cdot k_{5} \cdot k_{7} \cdot x_{3} \cdot x_{6} + 1 \cdot k_{14} \cdot k_{6} \cdot x_{5} + -1 \cdot k_{14} \cdot k_{7} \cdot k_{9} \cdot \left(k_{10} + \left(1 - k_{10}\right) \cdot \left(1 - \exp\left(-t / k_{11}\right)^{3}\right)\right) \cdot x_{3}\right) / k_{14}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{14} \cdot k_{7} \cdot k_{9} \cdot \left(k_{10} + \left(1 - k_{10}\right) \cdot \left(1 - \exp\left(-t / k_{11}\right)^{3}\right)\right) \cdot x_{2} + 1 \cdot k_{14} \cdot k_{7} \cdot k_{9} \cdot \left(k_{10} + \left(1 - k_{10}\right) \cdot \left(1 - \exp\left(-t / k_{11}\right)^{3}\right)\right) \cdot x_{3} + 1 \cdot k_{14} \cdot k_{9} \cdot \left(k_{10} + \left(1 - k_{10}\right) \cdot \left(1 - \exp\left(-t / k_{11}\right)^{3}\right)\right) \cdot x_{5} + -1 \cdot k_{14} \cdot k_{4} \cdot x_{4}\right) / k_{14}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{14} \cdot k_{5} \cdot k_{7} \cdot x_{3} \cdot x_{6} + -1 \cdot k_{14} \cdot k_{6} \cdot x_{5} + -1 \cdot k_{14} \cdot k_{9} \cdot \left(k_{10} + \left(1 - k_{10}\right) \cdot \left(1 - \exp\left(-t / k_{11}\right)^{3}\right)\right) \cdot x_{5}\right) / k_{14}\\
\frac{dx_{6}}{dt} = -1 \cdot k_{14} \cdot k_{5} \cdot k_{7} \cdot x_{3} \cdot x_{6} / k_{14}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{14} \cdot k_{7} \cdot k_{9} \cdot \left(k_{10} + \left(1 - k_{10}\right) \cdot \left(1 - \exp\left(-t / k_{11}\right)^{3}\right)\right) \cdot x_{3} + 1 \cdot k_{14} \cdot k_{9} \cdot \left(k_{10} + \left(1 - k_{10}\right) \cdot \left(1 - \exp\left(-t / k_{11}\right)^{3}\right)\right) \cdot x_{5} + -1 \cdot k_{14} \cdot k_{8} \cdot x_{7}\right) / k_{14}