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