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