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