\frac{dx_{1}}{dt} = \left(1 \cdot k_{1} \cdot k_{2} + -1 \cdot k_{1} \cdot k_{3} \cdot x_{1} + -1 \cdot k_{1} \cdot k_{7} \cdot x_{1} \cdot x_{5} / \left(k_{6} + x_{13}\right)\right) / k_{1}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{1} \cdot k_{4} + -1 \cdot k_{1} \cdot k_{5} \cdot x_{2} + -1 \cdot k_{1} \cdot \left(k_{8} \cdot x_{2} \cdot x_{5} + k_{9} \cdot x_{2} \cdot x_{15}\right)\right) / k_{1}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{1} \cdot k_{7} \cdot x_{1} \cdot x_{5} / \left(k_{6} + x_{13}\right) + -1 \cdot k_{1} \cdot k_{10} \cdot x_{3}\right) / k_{1}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{8} \cdot x_{2} \cdot x_{5} + k_{9} \cdot x_{2} \cdot x_{15}\right) + -1 \cdot k_{1} \cdot k_{11} \cdot x_{4}\right) / k_{1}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{15} \cdot x_{16} + k_{16} \cdot x_{8}\right) / \left(\left(k_{12} + x_{6}\right) \cdot \left(k_{13} + k_{52}\right) \cdot \left(k_{14} + x_{19}\right)\right) + -1 \cdot k_{1} \cdot k_{32} \cdot x_{5}\right) / k_{1}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{1} \cdot k_{18} \cdot x_{4} / \left(k_{17} + x_{5}\right) + -1 \cdot k_{1} \cdot k_{33} \cdot x_{6}\right) / k_{1}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{1} \cdot k_{19} \cdot x_{2} + -1 \cdot k_{1} \cdot k_{34} \cdot x_{7}\right) / k_{1}\\
\frac{dx_{8}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{20} \cdot x_{12} + k_{21} \cdot x_{14}\right) + -1 \cdot k_{1} \cdot k_{35} \cdot x_{8}\right) / k_{1}\\
\frac{dx_{9}}{dt} = 0\\
\frac{dx_{10}}{dt} = 0\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{1} \cdot k_{28} \cdot x_{3} + -1 \cdot k_{1} \cdot k_{40} \cdot x_{11}\right) / k_{1}\\
\frac{dx_{12}}{dt} = \left(1 \cdot k_{1} \cdot k_{30} / \left(k_{29} + x_{11}\right) + -1 \cdot k_{1} \cdot k_{41} \cdot x_{12}\right) / k_{1}\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{1} \cdot k_{31} \cdot x_{4} + -1 \cdot k_{1} \cdot k_{42} \cdot x_{13}\right) / k_{1}\\
\frac{dx_{14}}{dt} = \left(-1 \cdot k_{1} \cdot k_{43} \cdot x_{14} + 1 \cdot k_{1} \cdot k_{44} \cdot x_{3}\right) / k_{1}\\
\frac{dx_{15}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{24} \cdot x_{3} + k_{25} \cdot x_{4}\right) / \left(k_{23} + x_{6}\right) + -1 \cdot k_{1} \cdot k_{37} \cdot x_{15}\right) / k_{1}\\
\frac{dx_{16}}{dt} = \left(1 \cdot k_{1} \cdot k_{26} \cdot x_{3} + -1 \cdot k_{1} \cdot k_{38} \cdot x_{16}\right) / k_{1}\\
\frac{dx_{17}}{dt} = \left(1 \cdot k_{1} \cdot k_{45} \cdot x_{13} + -1 \cdot k_{1} \cdot k_{46} \cdot x_{17}\right) / k_{1}\\
\frac{dx_{18}}{dt} = \left(1 \cdot k_{1} \cdot k_{49} \cdot x_{3} + -1 \cdot k_{1} \cdot k_{51} \cdot x_{18}\right) / k_{1}\\
\frac{dx_{19}}{dt} = \left(1 \cdot k_{1} \cdot k_{48} \cdot x_{17} / \left(k_{47} + x_{18}\right) + -1 \cdot k_{1} \cdot k_{50} \cdot x_{19}\right) / k_{1}