\frac{dx_{1}}{dt} = \left(1 \cdot k_{7} \cdot k_{1} \cdot x_{1} \cdot \left(1 - x_{1} / k_{2}\right) + -1 \cdot k_{7} \cdot \frac{21}{200000} \cdot \exp\left(\left(-t\right) / \frac{1681}{10}\right) \cdot x_{1} \cdot x_{2}\right) / k_{7}\\
\frac{dx_{2}}{dt} = 1 \cdot k_{7} \cdot k_{4} \cdot x_{2} \cdot \left(1 - x_{2} / \left(k_{5} + k_{6} \cdot x_{1} \cdot x_{2}\right)\right) / k_{7}