\frac{dx_{1}}{dt} = 0\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{2} + -1 \cdot \left(k_{3} + k_{4} \cdot x_{4} + k_{5} \cdot x_{5}\right) \cdot x_{2}\right) / k_{55}\\
\frac{dx_{3}}{dt} = 0\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{6} + -1 \cdot \left(k_{7} + k_{8} \cdot x_{5}\right) \cdot x_{4}\right) / k_{55}\\
\frac{dx_{5}}{dt} = \left(1 \cdot \left(k_{9} + k_{10} \cdot x_{24}\right) \cdot \left(k_{13} - x_{5}\right) / \left(k_{12} + k_{13} - x_{5}\right) + -1 \cdot k_{11} \cdot x_{2} / \left(1 + k_{54}\right) \cdot x_{5} / \left(k_{12} + x_{5}\right)\right) / k_{55}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{14} + -1 \cdot \left(k_{15} + k_{16} \cdot x_{4}\right) \cdot x_{7}\right) / k_{55}\\
\frac{dx_{9}}{dt} = \left(1 \cdot k_{17} + -1 \cdot k_{18} \cdot x_{9}\right) / k_{55}\\
\frac{dx_{11}}{dt} = \left(1 \cdot \left(k_{19} \cdot x_{8} \cdot x_{10} - k_{20} \cdot x_{11}\right) + -1 \cdot \left(k_{15} + k_{16} \cdot x_{4}\right) \cdot x_{11} + -1 \cdot k_{18} \cdot x_{11}\right) / k_{55}\\
\frac{dx_{12}}{dt} = \left(1 \cdot \left(k_{21} \cdot x_{24} + k_{22} \cdot x_{22}\right) \cdot x_{23} / \left(k_{25} + x_{23}\right) + -1 \cdot \left(k_{23} \cdot x_{2} / \left(1 + k_{54}\right) + k_{24} \cdot x_{21}\right) \cdot x_{12} / \left(k_{25} + x_{12} + x_{13}\right) + -1 \cdot k_{26} \cdot x_{12} \cdot x_{24} + 1 \cdot k_{27} \cdot x_{13}\right) / k_{55}\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{26} \cdot x_{12} \cdot x_{24} + -1 \cdot k_{27} \cdot x_{13} + -1 \cdot \left(k_{23} \cdot x_{2} / \left(1 + k_{54}\right) + k_{24} \cdot x_{21}\right) \cdot x_{13} / \left(k_{25} + x_{12} + x_{13}\right)\right) / k_{55}\\
\frac{dx_{14}}{dt} = \left(1 \cdot k_{30} + -1 \cdot \left(k_{31} + k_{32} \cdot x_{5}\right) \cdot x_{14}\right) / k_{55}\\
\frac{dx_{15}}{dt} = \left(1 \cdot \left(k_{33} + k_{34} \cdot x_{2} / \left(1 + k_{54}\right)\right) \cdot \left(x_{14} - x_{15}\right) / \left(k_{36} + x_{14} - x_{15}\right) + -1 \cdot k_{35} \cdot x_{15} / \left(k_{36} + x_{15}\right) + -1 \cdot \left(k_{31} + k_{32} \cdot x_{5}\right) \cdot x_{15}\right) / k_{55}\\
\frac{dx_{17}}{dt} = \left(1 \cdot \left(k_{37} + k_{38} \cdot x_{15}\right) \cdot \left(k_{42} - x_{17}\right) / \left(k_{41} + k_{42} - x_{17}\right) + -1 \cdot \left(k_{39} + k_{40} \cdot x_{22}\right) \cdot x_{17} / \left(k_{41} + x_{17}\right)\right) / k_{55}\\
\frac{dx_{19}}{dt} = \left(1 \cdot \left(k_{43} + k_{44} \cdot x_{24}\right) \cdot \left(k_{50} - x_{19}\right) / \left(k_{47} + k_{50} - x_{19}\right) + -1 \cdot \left(k_{45} + k_{46} \cdot x_{2} / \left(1 + k_{54}\right)\right) \cdot x_{19} / \left(k_{47} + x_{19}\right)\right) / k_{55}\\
\frac{dx_{21}}{dt} = \left(1 \cdot k_{48} \cdot \left(x_{17} - x_{21}\right) \cdot \left(x_{19} - x_{21}\right) + -1 \cdot k_{49} \cdot x_{21} + -1 \cdot \left(k_{39} + k_{40} \cdot x_{22}\right) \cdot x_{21} / \left(k_{41} + x_{17}\right) + -1 \cdot \left(k_{45} + k_{46} \cdot x_{2} / \left(1 + k_{54}\right)\right) \cdot x_{21} / \left(k_{47} + x_{19}\right)\right) / k_{55}