\frac{dx_{1}}{dt} = \left(-1 \cdot k_{16} \cdot k_{2} \cdot x_{5} \cdot x_{1} / k_{1} / \left(1 + x_{1} \cdot \left(k_{1} + k_{5}\right) / \left(k_{1} \cdot k_{5}\right) + x_{2} / k_{3} + x_{3} / k_{7}\right) + -1 \cdot k_{16} \cdot k_{6} \cdot x_{5} \cdot x_{1} / k_{5} / \left(1 + x_{1} \cdot \left(k_{1} + k_{5}\right) / \left(k_{1} \cdot k_{5}\right) + x_{2} / k_{3} + x_{3} / k_{7}\right) + 1 \cdot k_{16} \cdot k_{12} \cdot x_{6} \cdot x_{3} / k_{11} / \left(1 + x_{4} / k_{9} + x_{3} / k_{11} + x_{2} / k_{13} + x_{1} / k_{15}\right) + 1 \cdot k_{16} \cdot k_{14} \cdot x_{6} \cdot x_{2} / k_{13} / \left(1 + x_{4} / k_{9} + x_{3} / k_{11} + x_{2} / k_{13} + x_{1} / k_{15}\right)\right) / k_{16}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{16} \cdot k_{2} \cdot x_{5} \cdot x_{1} / k_{1} / \left(1 + x_{1} \cdot \left(k_{1} + k_{5}\right) / \left(k_{1} \cdot k_{5}\right) + x_{2} / k_{3} + x_{3} / k_{7}\right) + -1 \cdot k_{16} \cdot k_{4} \cdot x_{5} \cdot x_{2} / k_{3} / \left(1 + x_{1} \cdot \left(k_{1} + k_{5}\right) / \left(k_{1} \cdot k_{5}\right) + x_{2} / k_{3} + x_{3} / k_{7}\right) + -1 \cdot k_{16} \cdot k_{14} \cdot x_{6} \cdot x_{2} / k_{13} / \left(1 + x_{4} / k_{9} + x_{3} / k_{11} + x_{2} / k_{13} + x_{1} / k_{15}\right)\right) / k_{16}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{16} \cdot k_{6} \cdot x_{5} \cdot x_{1} / k_{5} / \left(1 + x_{1} \cdot \left(k_{1} + k_{5}\right) / \left(k_{1} \cdot k_{5}\right) + x_{2} / k_{3} + x_{3} / k_{7}\right) + -1 \cdot k_{16} \cdot k_{8} \cdot x_{5} \cdot x_{3} / k_{7} / \left(1 + x_{1} \cdot \left(k_{1} + k_{5}\right) / \left(k_{1} \cdot k_{5}\right) + x_{2} / k_{3} + x_{3} / k_{7}\right) + 1 \cdot k_{16} \cdot k_{10} \cdot x_{6} \cdot x_{4} / k_{9} / \left(1 + x_{4} / k_{9} + x_{3} / k_{11} + x_{2} / k_{13} + x_{1} / k_{15}\right) + -1 \cdot k_{16} \cdot k_{12} \cdot x_{6} \cdot x_{3} / k_{11} / \left(1 + x_{4} / k_{9} + x_{3} / k_{11} + x_{2} / k_{13} + x_{1} / k_{15}\right)\right) / k_{16}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{16} \cdot k_{4} \cdot x_{5} \cdot x_{2} / k_{3} / \left(1 + x_{1} \cdot \left(k_{1} + k_{5}\right) / \left(k_{1} \cdot k_{5}\right) + x_{2} / k_{3} + x_{3} / k_{7}\right) + 1 \cdot k_{16} \cdot k_{8} \cdot x_{5} \cdot x_{3} / k_{7} / \left(1 + x_{1} \cdot \left(k_{1} + k_{5}\right) / \left(k_{1} \cdot k_{5}\right) + x_{2} / k_{3} + x_{3} / k_{7}\right) + -1 \cdot k_{16} \cdot k_{10} \cdot x_{6} \cdot x_{4} / k_{9} / \left(1 + x_{4} / k_{9} + x_{3} / k_{11} + x_{2} / k_{13} + x_{1} / k_{15}\right)\right) / k_{16}\\
\frac{dx_{5}}{dt} = 0 / k_{16}\\
\frac{dx_{6}}{dt} = 0 / k_{16}