\frac{dx_{1}}{dt} = \left(-1 \cdot k_{1} \cdot x_{1} / \left(k_{2} + x_{1}\right) + -1 \cdot k_{3} \cdot x_{1} \cdot x_{2} / \left(k_{6} + k_{4} \cdot x_{2} + k_{5} \cdot x_{1} + x_{1} \cdot x_{2}\right) + 1 \cdot k_{7} \cdot x_{3} / \left(k_{8} + x_{3}\right)\right) / k_{10}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{1} \cdot x_{1} / \left(k_{2} + x_{1}\right) + -1 \cdot k_{3} \cdot x_{1} \cdot x_{2} / \left(k_{6} + k_{4} \cdot x_{2} + k_{5} \cdot x_{1} + x_{1} \cdot x_{2}\right)\right) / k_{10}\\
\frac{dx_{3}}{dt} = \left(2 \cdot k_{3} \cdot x_{1} \cdot x_{2} / \left(k_{6} + k_{4} \cdot x_{2} + k_{5} \cdot x_{1} + x_{1} \cdot x_{2}\right) + -1 \cdot k_{7} \cdot x_{3} / \left(k_{8} + x_{3}\right)\right) / k_{10}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{7} \cdot x_{3} / \left(k_{8} + x_{3}\right) + -1 \cdot k_{9} \cdot x_{4}\right) / k_{10}\\
\frac{dx_{5}}{dt} = -1 \cdot k_{9} \cdot x_{4} / k_{10}\\
\frac{dx_{6}}{dt} = 0