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