\frac{dx_{1}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{2} \cdot \left(x_{7} \cdot x_{11} - x_{1} \cdot x_{10} / k_{3}\right) / \left(\left(k_{4} \cdot \left(1 + x_{6} / k_{5}^{k_{6}}\right) / \left(1 + x_{6} / \left(k_{7} \cdot k_{5}\right)^{k_{6}}\right) + k_{4} \cdot x_{1} / k_{8} + x_{7}\right) \cdot \left(k_{9} \cdot \left(1 + x_{10} / k_{10}\right) + x_{11}\right)\right) + k_{11} \cdot \left(x_{7} \cdot x_{11} - x_{1} \cdot x_{10} / k_{3}\right) / \left(\left(1 + k_{12} / k_{13}^{k_{14}}\right) \cdot \left(k_{15} \cdot \left(1 + x_{1} / k_{16}\right) + x_{7}\right) \cdot \left(k_{17} \cdot \left(1 + x_{10} / k_{18}\right) + x_{11}\right)\right)\right) + -1 \cdot k_{1} \cdot k_{19} \cdot \left(x_{1} \cdot x_{9} - x_{2} \cdot x_{8} \cdot x_{5} / k_{20}\right) / \left(\left(k_{21} \cdot \left(1 + x_{2} / k_{22}\right) \cdot \left(1 + x_{5} / k_{23}\right) + x_{1}\right) \cdot \left(k_{24} \cdot \left(1 + x_{8} / k_{25}\right) + x_{9}\right)\right)\right) / k_{1}\\ \frac{dx_{2}}{dt} = \left(1 \cdot k_{1} \cdot k_{19} \cdot \left(x_{1} \cdot x_{9} - x_{2} \cdot x_{8} \cdot x_{5} / k_{20}\right) / \left(\left(k_{21} \cdot \left(1 + x_{2} / k_{22}\right) \cdot \left(1 + x_{5} / k_{23}\right) + x_{1}\right) \cdot \left(k_{24} \cdot \left(1 + x_{8} / k_{25}\right) + x_{9}\right)\right) + -1 \cdot k_{1} \cdot k_{26} \cdot \left(x_{2} \cdot x_{9} - x_{3} \cdot x_{8} / k_{27}\right) / \left(\left(1 + x_{6} / k_{28}^{k_{29}}\right) / \left(1 + x_{6} / \left(k_{30} \cdot k_{28}\right)^{k_{29}}\right) \cdot \left(k_{31} + x_{2} + x_{3} \cdot k_{31} / k_{32}\right) \cdot \left(k_{33} \cdot \left(1 + x_{8} / k_{34}\right) + x_{9}\right)\right)\right) / k_{1}\\ \frac{dx_{3}}{dt} = \left(1 \cdot k_{1} \cdot k_{26} \cdot \left(x_{2} \cdot x_{9} - x_{3} \cdot x_{8} / k_{27}\right) / \left(\left(1 + x_{6} / k_{28}^{k_{29}}\right) / \left(1 + x_{6} / \left(k_{30} \cdot k_{28}\right)^{k_{29}}\right) \cdot \left(k_{31} + x_{2} + x_{3} \cdot k_{31} / k_{32}\right) \cdot \left(k_{33} \cdot \left(1 + x_{8} / k_{34}\right) + x_{9}\right)\right) + -1 \cdot k_{1} \cdot k_{37} \cdot x_{3} \cdot x_{11} / \left(\left(1 + k_{38} / k_{39}\right) \cdot \left(x_{11} + k_{40} \cdot \left(1 + x_{3} / k_{41}\right)\right) \cdot \left(x_{3} + k_{42} \cdot \left(1 + x_{6} / k_{43}\right) \cdot \left(1 + x_{11} / k_{44}\right)\right)\right)\right) / k_{1}\\ \frac{dx_{4}}{dt} = \left(-1 \cdot k_{1} \cdot k_{35} \cdot x_{4} / \left(x_{4} + k_{36}\right) + 1 \cdot k_{1} \cdot k_{37} \cdot x_{3} \cdot x_{11} / \left(\left(1 + k_{38} / k_{39}\right) \cdot \left(x_{11} + k_{40} \cdot \left(1 + x_{3} / k_{41}\right)\right) \cdot \left(x_{3} + k_{42} \cdot \left(1 + x_{6} / k_{43}\right) \cdot \left(1 + x_{11} / k_{44}\right)\right)\right)\right) / k_{1}\\ \frac{dx_{5}}{dt} = \left(1 \cdot k_{1} \cdot k_{19} \cdot \left(x_{1} \cdot x_{9} - x_{2} \cdot x_{8} \cdot x_{5} / k_{20}\right) / \left(\left(k_{21} \cdot \left(1 + x_{2} / k_{22}\right) \cdot \left(1 + x_{5} / k_{23}\right) + x_{1}\right) \cdot \left(k_{24} \cdot \left(1 + x_{8} / k_{25}\right) + x_{9}\right)\right) + 1 \cdot k_{1} \cdot k_{35} \cdot x_{4} / \left(x_{4} + k_{36}\right) + 1 \cdot k_{1} \cdot k_{48} \cdot k_{47}\right) / k_{1}\\ \frac{dx_{6}}{dt} = 1 \cdot k_{1} \cdot k_{35} \cdot x_{4} / \left(x_{4} + k_{36}\right) / k_{1}\\ \frac{dx_{7}}{dt} = -1 \cdot k_{1} \cdot \left(k_{2} \cdot \left(x_{7} \cdot x_{11} - x_{1} \cdot x_{10} / k_{3}\right) / \left(\left(k_{4} \cdot \left(1 + x_{6} / k_{5}^{k_{6}}\right) / \left(1 + x_{6} / \left(k_{7} \cdot k_{5}\right)^{k_{6}}\right) + k_{4} \cdot x_{1} / k_{8} + x_{7}\right) \cdot \left(k_{9} \cdot \left(1 + x_{10} / k_{10}\right) + x_{11}\right)\right) + k_{11} \cdot \left(x_{7} \cdot x_{11} - x_{1} \cdot x_{10} / k_{3}\right) / \left(\left(1 + k_{12} / k_{13}^{k_{14}}\right) \cdot \left(k_{15} \cdot \left(1 + x_{1} / k_{16}\right) + x_{7}\right) \cdot \left(k_{17} \cdot \left(1 + x_{10} / k_{18}\right) + x_{11}\right)\right)\right) / k_{1}\\ \frac{dx_{8}}{dt} = \left(1 \cdot k_{1} \cdot k_{19} \cdot \left(x_{1} \cdot x_{9} - x_{2} \cdot x_{8} \cdot x_{5} / k_{20}\right) / \left(\left(k_{21} \cdot \left(1 + x_{2} / k_{22}\right) \cdot \left(1 + x_{5} / k_{23}\right) + x_{1}\right) \cdot \left(k_{24} \cdot \left(1 + x_{8} / k_{25}\right) + x_{9}\right)\right) + 1 \cdot k_{1} \cdot k_{26} \cdot \left(x_{2} \cdot x_{9} - x_{3} \cdot x_{8} / k_{27}\right) / \left(\left(1 + x_{6} / k_{28}^{k_{29}}\right) / \left(1 + x_{6} / \left(k_{30} \cdot k_{28}\right)^{k_{29}}\right) \cdot \left(k_{31} + x_{2} + x_{3} \cdot k_{31} / k_{32}\right) \cdot \left(k_{33} \cdot \left(1 + x_{8} / k_{34}\right) + x_{9}\right)\right) + 1 \cdot k_{1} \cdot k_{46} \cdot k_{45} \cdot x_{9}\right) / k_{1}\\ \frac{dx_{9}}{dt} = \left(-1 \cdot k_{1} \cdot k_{19} \cdot \left(x_{1} \cdot x_{9} - x_{2} \cdot x_{8} \cdot x_{5} / k_{20}\right) / \left(\left(k_{21} \cdot \left(1 + x_{2} / k_{22}\right) \cdot \left(1 + x_{5} / k_{23}\right) + x_{1}\right) \cdot \left(k_{24} \cdot \left(1 + x_{8} / k_{25}\right) + x_{9}\right)\right) + -1 \cdot k_{1} \cdot k_{26} \cdot \left(x_{2} \cdot x_{9} - x_{3} \cdot x_{8} / k_{27}\right) / \left(\left(1 + x_{6} / k_{28}^{k_{29}}\right) / \left(1 + x_{6} / \left(k_{30} \cdot k_{28}\right)^{k_{29}}\right) \cdot \left(k_{31} + x_{2} + x_{3} \cdot k_{31} / k_{32}\right) \cdot \left(k_{33} \cdot \left(1 + x_{8} / k_{34}\right) + x_{9}\right)\right) + -1 \cdot k_{1} \cdot k_{46} \cdot k_{45} \cdot x_{9}\right) / k_{1}\\ \frac{dx_{10}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{2} \cdot \left(x_{7} \cdot x_{11} - x_{1} \cdot x_{10} / k_{3}\right) / \left(\left(k_{4} \cdot \left(1 + x_{6} / k_{5}^{k_{6}}\right) / \left(1 + x_{6} / \left(k_{7} \cdot k_{5}\right)^{k_{6}}\right) + k_{4} \cdot x_{1} / k_{8} + x_{7}\right) \cdot \left(k_{9} \cdot \left(1 + x_{10} / k_{10}\right) + x_{11}\right)\right) + k_{11} \cdot \left(x_{7} \cdot x_{11} - x_{1} \cdot x_{10} / k_{3}\right) / \left(\left(1 + k_{12} / k_{13}^{k_{14}}\right) \cdot \left(k_{15} \cdot \left(1 + x_{1} / k_{16}\right) + x_{7}\right) \cdot \left(k_{17} \cdot \left(1 + x_{10} / k_{18}\right) + x_{11}\right)\right)\right) + 1 \cdot k_{1} \cdot k_{37} \cdot x_{3} \cdot x_{11} / \left(\left(1 + k_{38} / k_{39}\right) \cdot \left(x_{11} + k_{40} \cdot \left(1 + x_{3} / k_{41}\right)\right) \cdot \left(x_{3} + k_{42} \cdot \left(1 + x_{6} / k_{43}\right) \cdot \left(1 + x_{11} / k_{44}\right)\right)\right) + 1 \cdot k_{1} \cdot k_{48} \cdot k_{47}\right) / k_{1}\\ \frac{dx_{11}}{dt} = \left(-1 \cdot k_{1} \cdot \left(k_{2} \cdot \left(x_{7} \cdot x_{11} - x_{1} \cdot x_{10} / k_{3}\right) / \left(\left(k_{4} \cdot \left(1 + x_{6} / k_{5}^{k_{6}}\right) / \left(1 + x_{6} / \left(k_{7} \cdot k_{5}\right)^{k_{6}}\right) + k_{4} \cdot x_{1} / k_{8} + x_{7}\right) \cdot \left(k_{9} \cdot \left(1 + x_{10} / k_{10}\right) + x_{11}\right)\right) + k_{11} \cdot \left(x_{7} \cdot x_{11} - x_{1} \cdot x_{10} / k_{3}\right) / \left(\left(1 + k_{12} / k_{13}^{k_{14}}\right) \cdot \left(k_{15} \cdot \left(1 + x_{1} / k_{16}\right) + x_{7}\right) \cdot \left(k_{17} \cdot \left(1 + x_{10} / k_{18}\right) + x_{11}\right)\right)\right) + -1 \cdot k_{1} \cdot k_{37} \cdot x_{3} \cdot x_{11} / \left(\left(1 + k_{38} / k_{39}\right) \cdot \left(x_{11} + k_{40} \cdot \left(1 + x_{3} / k_{41}\right)\right) \cdot \left(x_{3} + k_{42} \cdot \left(1 + x_{6} / k_{43}\right) \cdot \left(1 + x_{11} / k_{44}\right)\right)\right) + -1 \cdot k_{1} \cdot k_{48} \cdot k_{47}\right) / k_{1}