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