\frac{dx_{1}}{dt} = \left(-1 \cdot x_{1} \cdot k_{2} \cdot k_{56} + -1 \cdot k_{3} \cdot x_{1} + 1 \cdot x_{2} \cdot k_{7} + 1 \cdot x_{5} \cdot k_{8}\right) / k_{69}\\ \frac{dx_{2}}{dt} = \left(1 \cdot k_{3} \cdot x_{1} + 1 \cdot x_{3} \cdot k_{4} + -1 \cdot x_{2} \cdot k_{5} + -1 \cdot x_{2} \cdot k_{7}\right) / k_{69}\\ \frac{dx_{3}}{dt} = \left(1 \cdot x_{1} \cdot k_{2} \cdot k_{56} + -1 \cdot x_{3} \cdot k_{4}\right) / k_{69}\\ \frac{dx_{4}}{dt} = \left(1 \cdot x_{2} \cdot k_{5} + -1 \cdot x_{4} \cdot k_{6} \cdot x_{11}\right) / k_{69}\\ \frac{dx_{5}}{dt} = \left(1 \cdot x_{4} \cdot k_{6} \cdot x_{11} + -1 \cdot x_{5} \cdot k_{8}\right) / k_{69}\\ \frac{dx_{6}}{dt} = \left(-1 \cdot x_{6} \cdot k_{9} \cdot x_{4} + 1 \cdot x_{7} \cdot k_{12} + -1 \cdot x_{6} \cdot k_{11} + 1 \cdot x_{9} \cdot k_{15}\right) / k_{69}\\ \frac{dx_{7}}{dt} = \left(1 \cdot x_{6} \cdot k_{9} \cdot x_{4} + -1 \cdot x_{7} \cdot k_{12} + -1 \cdot x_{7} \cdot k_{10} \cdot x_{17} \cdot k_{1} + 1 \cdot x_{8} \cdot k_{13}\right) / k_{69}\\ \frac{dx_{8}}{dt} = \left(1 \cdot x_{7} \cdot k_{10} \cdot x_{17} \cdot k_{1} + -1 \cdot x_{8} \cdot k_{13} + -1 \cdot x_{8} \cdot k_{14}\right) / k_{69}\\ \frac{dx_{9}}{dt} = \left(1 \cdot x_{8} \cdot k_{14} + 1 \cdot x_{6} \cdot k_{11} + -1 \cdot x_{9} \cdot k_{15}\right) / k_{69}\\ \frac{dx_{10}}{dt} = \left(-1 \cdot x_{10} \cdot k_{16} \cdot x_{7} + 1 \cdot x_{11} \cdot k_{17}\right) / k_{69}\\ \frac{dx_{11}}{dt} = \left(1 \cdot x_{10} \cdot k_{16} \cdot x_{7} + -1 \cdot x_{11} \cdot k_{17}\right) / k_{69}\\ \frac{dx_{12}}{dt} = \left(-1 \cdot k_{18} \cdot x_{12} \cdot x_{7} + 1 \cdot k_{19} \cdot x_{13} + 1 \cdot k_{23} \cdot x_{14}\right) / k_{69}\\ \frac{dx_{13}}{dt} = \left(1 \cdot k_{18} \cdot x_{12} \cdot x_{7} + -1 \cdot k_{19} \cdot x_{13} + -1 \cdot k_{20} \cdot x_{13} \cdot x_{19}\right) / k_{69}\\ \frac{dx_{14}}{dt} = \left(-1 \cdot k_{21} \cdot x_{14} \cdot x_{8} + 1 \cdot k_{22} \cdot x_{15} + -1 \cdot k_{23} \cdot x_{14}\right) / k_{69}\\ \frac{dx_{15}}{dt} = \left(1 \cdot k_{20} \cdot x_{13} \cdot x_{19} + 1 \cdot k_{21} \cdot x_{14} \cdot x_{8} + -1 \cdot k_{22} \cdot x_{15}\right) / k_{69}\\ \frac{dx_{16}}{dt} = \left(-1 \cdot x_{16} \cdot \left(k_{24} \cdot x_{15} + k_{25} \cdot x_{13}\right) + 1 \cdot x_{17} \cdot k_{26}\right) / k_{69}\\ \frac{dx_{17}}{dt} = \left(1 \cdot x_{16} \cdot \left(k_{24} \cdot x_{15} + k_{25} \cdot x_{13}\right) + -1 \cdot x_{17} \cdot k_{26}\right) / k_{69}\\ \frac{dx_{18}}{dt} = \left(-1 \cdot x_{18} \cdot k_{29} \cdot x_{4} + 1 \cdot k_{27} \cdot x_{19}\right) / k_{69}\\ \frac{dx_{19}}{dt} = \left(1 \cdot x_{18} \cdot k_{29} \cdot x_{4} + -1 \cdot k_{27} \cdot x_{19}\right) / k_{69}\\ \frac{dx_{20}}{dt} = \left(-1 \cdot x_{20} \cdot \left(k_{30} \cdot x_{15} + k_{31} \cdot x_{14}^{k_{33}} / \left(k_{32}^{k_{33}} + x_{14}^{k_{33}}\right)\right) + 1 \cdot x_{21} \cdot k_{34}\right) / k_{69}\\ \frac{dx_{21}}{dt} = \left(1 \cdot x_{20} \cdot \left(k_{30} \cdot x_{15} + k_{31} \cdot x_{14}^{k_{33}} / \left(k_{32}^{k_{33}} + x_{14}^{k_{33}}\right)\right) + -1 \cdot x_{21} \cdot k_{34}\right) / k_{69}\\ \frac{dx_{22}}{dt} = \left(1 \cdot x_{23} \cdot k_{35} \cdot x_{21} + -1 \cdot x_{22} \cdot k_{36}\right) / k_{69}\\ \frac{dx_{23}}{dt} = \left(-1 \cdot x_{23} \cdot k_{35} \cdot x_{21} + 1 \cdot x_{22} \cdot k_{36}\right) / k_{69}\\ \frac{dx_{24}}{dt} = \left(-1 \cdot x_{24} \cdot k_{39} \cdot x_{17}^{k_{44}} / \left(k_{43}^{k_{44}} + x_{17}^{k_{44}}\right) + 1 \cdot x_{25} \cdot k_{40}\right) / k_{69}\\ \frac{dx_{25}}{dt} = \left(1 \cdot x_{24} \cdot k_{39} \cdot x_{17}^{k_{44}} / \left(k_{43}^{k_{44}} + x_{17}^{k_{44}}\right) + -1 \cdot x_{25} \cdot k_{40}\right) / k_{69}\\ \frac{dx_{26}}{dt} = \left(-1 \cdot x_{26} \cdot k_{41} \cdot x_{25} + 1 \cdot x_{27} \cdot k_{42}\right) / k_{69}\\ \frac{dx_{27}}{dt} = \left(1 \cdot x_{26} \cdot k_{41} \cdot x_{25} + -1 \cdot x_{27} \cdot k_{42}\right) / k_{69}