\frac{dx_{1}}{dt} = \left(-1 \cdot k_{15} \cdot k_{17} \cdot x_{11} \cdot x_{1} / \left(k_{1} + x_{1}\right) + 1 \cdot k_{15} \cdot k_{18} \cdot x_{2} \cdot x_{9} / k_{2} / \left(1 + x_{2} / k_{2} + x_{1} / k_{11} + x_{5} / k_{5} + x_{4} / k_{6} + x_{3} / k_{11}\right)\right) / k_{15}\\ \frac{dx_{2}}{dt} = \left(1 \cdot k_{15} \cdot k_{17} \cdot x_{11} \cdot x_{1} / \left(k_{1} + x_{1}\right) + -1 \cdot k_{15} \cdot k_{18} \cdot x_{2} \cdot x_{9} / k_{2} / \left(1 + x_{2} / k_{2} + x_{1} / k_{11} + x_{5} / k_{5} + x_{4} / k_{6} + x_{3} / k_{11}\right)\right) / k_{15}\\ \frac{dx_{3}}{dt} = \left(-1 \cdot k_{15} \cdot k_{19} \cdot x_{2} \cdot x_{3} / k_{3} / \left(1 + x_{3} / k_{3} + x_{4} / k_{4}\right) + 1 \cdot k_{15} \cdot \left(k_{23} \cdot x_{9} \cdot x_{4} / k_{6} / \left(1 + x_{2} / k_{2} + x_{1} / k_{11} + x_{5} / k_{5} + x_{4} / k_{6} + x_{3} / k_{11}\right) + k_{24} \cdot x_{10} \cdot x_{4} / k_{14} / \left(1 + x_{5} / k_{13} + x_{4} / k_{14} + x_{3} / k_{12} + x_{6} / k_{12} + x_{7} / k_{10} + x_{8} / k_{9}\right)\right)\right) / k_{15}\\ \frac{dx_{4}}{dt} = \left(1 \cdot k_{15} \cdot k_{19} \cdot x_{2} \cdot x_{3} / k_{3} / \left(1 + x_{3} / k_{3} + x_{4} / k_{4}\right) + -1 \cdot k_{15} \cdot k_{20} \cdot x_{2} \cdot x_{4} / k_{4} / \left(1 + x_{3} / k_{3} + x_{4} / k_{4}\right) + 1 \cdot k_{15} \cdot \left(k_{21} \cdot x_{9} \cdot x_{5} / k_{5} / \left(1 + x_{2} / k_{2} + x_{1} / k_{11} + x_{5} / k_{5} + x_{4} / k_{6} + x_{3} / k_{11}\right) + k_{22} \cdot x_{10} \cdot x_{5} / k_{13} / \left(1 + x_{5} / k_{13} + x_{4} / k_{14} + x_{3} / k_{12} + x_{6} / k_{12} + x_{7} / k_{10} + x_{8} / k_{9}\right)\right) + -1 \cdot k_{15} \cdot \left(k_{23} \cdot x_{9} \cdot x_{4} / k_{6} / \left(1 + x_{2} / k_{2} + x_{1} / k_{11} + x_{5} / k_{5} + x_{4} / k_{6} + x_{3} / k_{11}\right) + k_{24} \cdot x_{10} \cdot x_{4} / k_{14} / \left(1 + x_{5} / k_{13} + x_{4} / k_{14} + x_{3} / k_{12} + x_{6} / k_{12} + x_{7} / k_{10} + x_{8} / k_{9}\right)\right)\right) / k_{15}\\ \frac{dx_{5}}{dt} = \left(1 \cdot k_{15} \cdot k_{20} \cdot x_{2} \cdot x_{4} / k_{4} / \left(1 + x_{3} / k_{3} + x_{4} / k_{4}\right) + -1 \cdot k_{15} \cdot \left(k_{21} \cdot x_{9} \cdot x_{5} / k_{5} / \left(1 + x_{2} / k_{2} + x_{1} / k_{11} + x_{5} / k_{5} + x_{4} / k_{6} + x_{3} / k_{11}\right) + k_{22} \cdot x_{10} \cdot x_{5} / k_{13} / \left(1 + x_{5} / k_{13} + x_{4} / k_{14} + x_{3} / k_{12} + x_{6} / k_{12} + x_{7} / k_{10} + x_{8} / k_{9}\right)\right)\right) / k_{15}\\ \frac{dx_{6}}{dt} = \left(-1 \cdot k_{15} \cdot k_{25} \cdot x_{5} \cdot x_{6} / k_{7} / \left(1 + x_{6} / k_{7} + x_{7} / k_{8}\right) + 1 \cdot k_{15} \cdot k_{28} \cdot x_{10} \cdot x_{7} / k_{10} / \left(1 + x_{5} / k_{13} + x_{4} / k_{14} + x_{3} / k_{12} + x_{6} / k_{12} + x_{7} / k_{10} + x_{8} / k_{9}\right)\right) / k_{15}\\ \frac{dx_{7}}{dt} = \left(1 \cdot k_{15} \cdot k_{25} \cdot x_{5} \cdot x_{6} / k_{7} / \left(1 + x_{6} / k_{7} + x_{7} / k_{8}\right) + -1 \cdot k_{15} \cdot k_{26} \cdot x_{5} \cdot x_{7} / k_{8} / \left(1 + x_{6} / k_{7} + x_{7} / k_{8}\right) + 1 \cdot k_{15} \cdot k_{27} \cdot x_{10} \cdot x_{8} / k_{9} / \left(1 + x_{9} / k_{13} + x_{4} / k_{14} + x_{3} / k_{12} + x_{6} / k_{12} + x_{7} / k_{10} + x_{8} / k_{9}\right) + -1 \cdot k_{15} \cdot k_{28} \cdot x_{10} \cdot x_{7} / k_{10} / \left(1 + x_{5} / k_{13} + x_{4} / k_{14} + x_{3} / k_{12} + x_{6} / k_{12} + x_{7} / k_{10} + x_{8} / k_{9}\right)\right) / k_{15}\\ \frac{dx_{8}}{dt} = \left(1 \cdot k_{15} \cdot k_{26} \cdot x_{5} \cdot x_{7} / k_{8} / \left(1 + x_{6} / k_{7} + x_{7} / k_{8}\right) + -1 \cdot k_{15} \cdot k_{27} \cdot x_{10} \cdot x_{8} / k_{9} / \left(1 + x_{9} / k_{13} + x_{4} / k_{14} + x_{3} / k_{12} + x_{6} / k_{12} + x_{7} / k_{10} + x_{8} / k_{9}\right)\right) / k_{15}\\ \frac{dx_{9}}{dt} = 0 / k_{15}\\ \frac{dx_{10}}{dt} = 0 / k_{15}\\ \frac{dx_{11}}{dt} = 0 / k_{15}