\frac{dx_{1}}{dt} = \left(1 \cdot k_{9} \cdot k_{1} \cdot x_{1} \cdot \left(1 - x_{1} / k_{2}\right) + -1 \cdot k_{9} \cdot k_{3} \cdot x_{1} \cdot x_{3} / \left(k_{4} + x_{3}\right)\right) / k_{9}\\
\frac{dx_{2}}{dt} = 0 / k_{9}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{9} \cdot k_{6} \cdot x_{2} \cdot x_{1} / \left(x_{1} + k_{5}\right) + -1 \cdot k_{9} \cdot k_{7} \cdot x_{3} + -1 \cdot k_{9} \cdot k_{8} \cdot x_{1} \cdot x_{3}\right) / k_{9}