\frac{dx_{1}}{dt} = \left(-1 \cdot k_{1} \cdot k_{3} \cdot x_{1} \cdot x_{9} / \left(k_{4} \cdot k_{5} \cdot \left(1 + x_{1} / k_{4} + x_{9} / k_{5} + x_{1} \cdot x_{9} / \left(k_{4} \cdot k_{5}\right)\right)\right) + 1 \cdot k_{1} \cdot \left(k_{6} \cdot x_{2} \cdot x_{3} / \left(k_{7} \cdot k_{8}\right) - k_{9} \cdot x_{1} \cdot x_{4} / \left(k_{10} \cdot k_{11}\right)\right) / \left(1 + x_{3} / k_{12} + x_{4} / k_{13} + x_{2} \cdot \left(1 / k_{7} + x_{3} / \left(k_{7} \cdot k_{8}\right)\right) + x_{1} \cdot \left(1 / k_{10} + x_{3} / \left(k_{10} \cdot k_{12}\right) + x_{4} / \left(k_{13} \cdot k_{10} \cdot k_{11} / k_{13}\right)\right)\right) + -1 \cdot \left(k_{1} \cdot k_{25} \cdot x_{1} - k_{2} \cdot k_{25} \cdot x_{6}\right)\right) / k_{1}\\ \frac{dx_{2}}{dt} = \left(1 \cdot k_{1} \cdot k_{3} \cdot x_{1} \cdot x_{9} / \left(k_{4} \cdot k_{5} \cdot \left(1 + x_{1} / k_{4} + x_{9} / k_{5} + x_{1} \cdot x_{9} / \left(k_{4} \cdot k_{5}\right)\right)\right) + -1 \cdot k_{1} \cdot \left(k_{6} \cdot x_{2} \cdot x_{3} / \left(k_{7} \cdot k_{8}\right) - k_{9} \cdot x_{1} \cdot x_{4} / \left(k_{10} \cdot k_{11}\right)\right) / \left(1 + x_{3} / k_{12} + x_{4} / k_{13} + x_{2} \cdot \left(1 / k_{7} + x_{3} / \left(k_{7} \cdot k_{8}\right)\right) + x_{1} \cdot \left(1 / k_{10} + x_{3} / \left(k_{10} \cdot k_{12}\right) + x_{4} / \left(k_{13} \cdot k_{10} \cdot k_{11} / k_{13}\right)\right)\right) + -1 \cdot \left(k_{1} \cdot k_{27} \cdot x_{2} - k_{2} \cdot k_{27} \cdot x_{7}\right)\right) / k_{1}\\ \frac{dx_{3}}{dt} = \left(-1 \cdot k_{1} \cdot \left(k_{6} \cdot x_{2} \cdot x_{3} / \left(k_{7} \cdot k_{8}\right) - k_{9} \cdot x_{1} \cdot x_{4} / \left(k_{10} \cdot k_{11}\right)\right) / \left(1 + x_{3} / k_{12} + x_{4} / k_{13} + x_{2} \cdot \left(1 / k_{7} + x_{3} / \left(k_{7} \cdot k_{8}\right)\right) + x_{1} \cdot \left(1 / k_{10} + x_{3} / \left(k_{10} \cdot k_{12}\right) + x_{4} / \left(k_{13} \cdot k_{10} \cdot k_{11} / k_{13}\right)\right)\right) + -1 \cdot \left(k_{1} \cdot k_{24} \cdot x_{3} - k_{2} \cdot k_{24} \cdot x_{8}\right)\right) / k_{1}\\ \frac{dx_{4}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{6} \cdot x_{2} \cdot x_{3} / \left(k_{7} \cdot k_{8}\right) - k_{9} \cdot x_{1} \cdot x_{4} / \left(k_{10} \cdot k_{11}\right)\right) / \left(1 + x_{3} / k_{12} + x_{4} / k_{13} + x_{2} \cdot \left(1 / k_{7} + x_{3} / \left(k_{7} \cdot k_{8}\right)\right) + x_{1} \cdot \left(1 / k_{10} + x_{3} / \left(k_{10} \cdot k_{12}\right) + x_{4} / \left(k_{13} \cdot k_{10} \cdot k_{11} / k_{13}\right)\right)\right) + -1 \cdot \left(k_{1} \cdot k_{26} \cdot x_{4} - k_{2} \cdot k_{26} \cdot x_{5}\right)\right) / k_{1}\\ \frac{dx_{5}}{dt} = \left(1 \cdot k_{2} \cdot \left(k_{14} \cdot x_{7} \cdot x_{8} / \left(k_{15} \cdot k_{16}\right) - k_{17} \cdot x_{6} \cdot x_{5} / \left(k_{18} \cdot k_{19}\right)\right) / \left(1 + x_{8} / k_{20} + x_{5} / k_{21} + x_{7} \cdot \left(1 / k_{15} + x_{8} / \left(k_{15} \cdot k_{16}\right)\right) + x_{6} \cdot \left(1 / k_{18} + x_{8} / \left(k_{18} \cdot k_{20}\right) + x_{5} / \left(k_{21} \cdot k_{18} \cdot k_{19} / k_{21}\right)\right)\right) + 1 \cdot \left(k_{1} \cdot k_{26} \cdot x_{4} - k_{2} \cdot k_{26} \cdot x_{5}\right)\right) / k_{2}\\ \frac{dx_{6}}{dt} = \left(1 \cdot k_{2} \cdot \left(k_{14} \cdot x_{7} \cdot x_{8} / \left(k_{15} \cdot k_{16}\right) - k_{17} \cdot x_{6} \cdot x_{5} / \left(k_{18} \cdot k_{19}\right)\right) / \left(1 + x_{8} / k_{20} + x_{5} / k_{21} + x_{7} \cdot \left(1 / k_{15} + x_{8} / \left(k_{15} \cdot k_{16}\right)\right) + x_{6} \cdot \left(1 / k_{18} + x_{8} / \left(k_{18} \cdot k_{20}\right) + x_{5} / \left(k_{21} \cdot k_{18} \cdot k_{19} / k_{21}\right)\right)\right) + 1 \cdot k_{2} \cdot k_{22} \cdot x_{7} + 1 \cdot \left(k_{1} \cdot k_{25} \cdot x_{1} - k_{2} \cdot k_{25} \cdot x_{6}\right)\right) / k_{2}\\ \frac{dx_{7}}{dt} = \left(-1 \cdot k_{2} \cdot \left(k_{14} \cdot x_{7} \cdot x_{8} / \left(k_{15} \cdot k_{16}\right) - k_{17} \cdot x_{6} \cdot x_{5} / \left(k_{18} \cdot k_{19}\right)\right) / \left(1 + x_{8} / k_{20} + x_{5} / k_{21} + x_{7} \cdot \left(1 / k_{15} + x_{8} / \left(k_{15} \cdot k_{16}\right)\right) + x_{6} \cdot \left(1 / k_{18} + x_{8} / \left(k_{18} \cdot k_{20}\right) + x_{5} / \left(k_{21} \cdot k_{18} \cdot k_{19} / k_{21}\right)\right)\right) + -1 \cdot k_{2} \cdot k_{22} \cdot x_{7} + 1 \cdot \left(k_{1} \cdot k_{27} \cdot x_{2} - k_{2} \cdot k_{27} \cdot x_{7}\right)\right) / k_{2}\\ \frac{dx_{8}}{dt} = \left(-1 \cdot k_{2} \cdot \left(k_{14} \cdot x_{7} \cdot x_{8} / \left(k_{15} \cdot k_{16}\right) - k_{17} \cdot x_{6} \cdot x_{5} / \left(k_{18} \cdot k_{19}\right)\right) / \left(1 + x_{8} / k_{20} + x_{5} / k_{21} + x_{7} \cdot \left(1 / k_{15} + x_{8} / \left(k_{15} \cdot k_{16}\right)\right) + x_{6} \cdot \left(1 / k_{18} + x_{8} / \left(k_{18} \cdot k_{20}\right) + x_{5} / \left(k_{21} \cdot k_{18} \cdot k_{19} / k_{21}\right)\right)\right) + 1 \cdot \left(k_{1} \cdot k_{24} \cdot x_{3} - k_{2} \cdot k_{24} \cdot x_{8}\right)\right) / k_{2}\\ \frac{dx_{9}}{dt} = \left(-1 \cdot k_{1} \cdot k_{3} \cdot x_{1} \cdot x_{9} / \left(k_{4} \cdot k_{5} \cdot \left(1 + x_{1} / k_{4} + x_{9} / k_{5} + x_{1} \cdot x_{9} / \left(k_{4} \cdot k_{5}\right)\right)\right) + -1 \cdot \left(k_{1} \cdot k_{23} \cdot x_{9} - k_{2} \cdot k_{23} \cdot x_{10}\right)\right) / k_{1}\\ \frac{dx_{10}}{dt} = \left(1 \cdot k_{2} \cdot k_{22} \cdot x_{7} + 1 \cdot \left(k_{1} \cdot k_{23} \cdot x_{9} - k_{2} \cdot k_{23} \cdot x_{10}\right)\right) / k_{2}