\frac{dx_{1}}{dt} = \left(1 \cdot k_{16} \cdot k_{10} + -1 \cdot k_{16} \cdot \left(k_{11} \cdot x_{3} \cdot x_{1} / \left(k_{6} + x_{1}\right) + k_{7} \cdot x_{1}\right)\right) / k_{16}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{16} \cdot x_{1} / \left(k_{5} + x_{1}\right) \cdot k_{12} \cdot \left(1 - x_{2}\right) / \left(k_{1} + 1 - x_{2}\right) + -1 \cdot k_{16} \cdot k_{8} \cdot x_{2} / \left(k_{1} + x_{2}\right)\right) / k_{16}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{16} \cdot x_{2} \cdot k_{13} \cdot \left(1 - x_{3}\right) / \left(k_{3} + 1 - x_{3}\right) + -1 \cdot k_{16} \cdot k_{9} \cdot x_{3} / \left(k_{4} + x_{3}\right)\right) / k_{16}