\frac{dx_{1}}{dt} = \left(1 \cdot x_{2} \cdot x_{23} \cdot k_{28} + -1 \cdot x_{1} \cdot k_{27}\right) / k_{57}\\
\frac{dx_{2}}{dt} = \left(-1 \cdot x_{2} \cdot x_{23} \cdot k_{28} + 1 \cdot x_{1} \cdot k_{27}\right) / k_{57}\\
\frac{dx_{3}}{dt} = 1 \cdot \left(x_{13} \cdot k_{35} - x_{3} \cdot k_{36}\right) / k_{57}\\
\frac{dx_{4}}{dt} = 1 \cdot \left(k_{37} \cdot x_{3} - k_{38} \cdot x_{4}\right) / k_{57}\\
\frac{dx_{5}}{dt} = \left(1 \cdot \left(k_{55} - x_{5}\right) \cdot k_{39} + -1 \cdot \left(x_{5} \cdot k_{56} \cdot k_{40} - x_{6} \cdot k_{41}\right) + -1 \cdot x_{5} \cdot x_{12} \cdot k_{45} + 1 \cdot x_{7} \cdot k_{46}\right) / k_{57}\\
\frac{dx_{6}}{dt} = \left(1 \cdot \left(x_{5} \cdot k_{56} \cdot k_{40} - x_{6} \cdot k_{41}\right) + -1 \cdot x_{6} \cdot k_{42} + -1 \cdot x_{6} \cdot x_{12} \cdot k_{43} + 1 \cdot x_{8} \cdot k_{44}\right) / k_{57}\\
\frac{dx_{7}}{dt} = \left(1 \cdot x_{5} \cdot x_{12} \cdot k_{45} + -1 \cdot x_{7} \cdot k_{46} + -1 \cdot x_{7} \cdot k_{47} + -1 \cdot \left(x_{7} \cdot k_{56} \cdot k_{48} - x_{8} \cdot k_{49}\right)\right) / k_{57}\\
\frac{dx_{8}}{dt} = \left(1 \cdot x_{6} \cdot x_{12} \cdot k_{43} + -1 \cdot x_{8} \cdot k_{44} + 1 \cdot \left(x_{7} \cdot k_{56} \cdot k_{48} - x_{8} \cdot k_{49}\right) + -1 \cdot x_{8} \cdot k_{50}\right) / k_{57}\\
\frac{dx_{9}}{dt} = \left(-1 \cdot x_{6} \cdot x_{9} \cdot k_{51} + 1 \cdot x_{10} \cdot k_{52}\right) / k_{57}\\
\frac{dx_{10}}{dt} = \left(1 \cdot x_{6} \cdot x_{9} \cdot k_{51} + -1 \cdot x_{10} \cdot k_{52}\right) / k_{57}\\
\frac{dx_{11}}{dt} = \left(-1 \cdot x_{11} \cdot x_{10} \cdot k_{53} + 1 \cdot x_{12} \cdot k_{54}\right) / k_{57}\\
\frac{dx_{12}}{dt} = \left(1 \cdot x_{11} \cdot x_{10} \cdot k_{53} + -1 \cdot x_{12} \cdot k_{54}\right) / k_{57}\\
\frac{dx_{13}}{dt} = \left(-1 \cdot x_{10} \cdot x_{13} \cdot k_{33} + 1 \cdot x_{14} \cdot k_{34}\right) / k_{57}\\
\frac{dx_{14}}{dt} = \left(1 \cdot x_{10} \cdot x_{13} \cdot k_{33} + -1 \cdot x_{14} \cdot k_{34}\right) / k_{57}\\
\frac{dx_{15}}{dt} = -1 \cdot \left(k_{21} \cdot x_{15} / k_{22} - k_{21} \cdot x_{18} / k_{22}\right) / \left(1 + x_{15} / k_{22} + x_{18} / k_{22}\right) / k_{58}\\
\frac{dx_{16}}{dt} = -1 \cdot \left(k_{1} \cdot x_{16} / k_{2} - k_{1} \cdot x_{23} / k_{2}\right) / \left(1 + x_{16} / k_{2} + x_{23} / k_{2}\right) / k_{58}\\
\frac{dx_{17}}{dt} = \left(1 \cdot \left(\left(1 + k_{29} \cdot x_{10}\right) \cdot k_{3} \cdot x_{23} / k_{4} - k_{5} \cdot x_{17} / k_{6}\right) / \left(1 + x_{23} / k_{4} + x_{17} / k_{6}\right) + -1 \cdot k_{7} \cdot x_{17} / \left(k_{8} + x_{17}\right) + 1 \cdot \left(1 + k_{31} \cdot x_{4}\right) \cdot k_{11} \cdot x_{20} / \left(k_{12} + x_{20}\right)\right) / k_{59}\\
\frac{dx_{18}}{dt} = \left(1 \cdot k_{7} \cdot x_{17} / \left(k_{8} + x_{17}\right) + -1 \cdot \left(k_{13} \cdot x_{18} / k_{14} - k_{15} \cdot x_{19} / k_{16}\right) / \left(1 + x_{18} / k_{14} + x_{19} / k_{16}\right) + 1 \cdot \left(k_{21} \cdot x_{15} / k_{22} - k_{21} \cdot x_{18} / k_{22}\right) / \left(1 + x_{15} / k_{22} + x_{18} / k_{22}\right) + -1 \cdot k_{9} \cdot x_{18} / \left(k_{10} + x_{18}\right)\right) / k_{59}\\
\frac{dx_{19}}{dt} = 1 \cdot \left(k_{13} \cdot x_{18} / k_{14} - k_{15} \cdot x_{19} / k_{16}\right) / \left(1 + x_{18} / k_{14} + x_{19} / k_{16}\right) / k_{59}\\
\frac{dx_{20}}{dt} = \left(1 \cdot k_{9} \cdot x_{18} / \left(k_{10} + x_{18}\right) + -1 \cdot \left(1 + k_{31} \cdot x_{4}\right) \cdot k_{11} \cdot x_{20} / \left(k_{12} + x_{20}\right)\right) / k_{59}\\
\frac{dx_{21}}{dt} = 1 \cdot \left(k_{23} \cdot x_{22} / k_{24} - \left(1 + k_{30} \cdot x_{2}\right) \cdot k_{25} \cdot x_{21} / k_{26}\right) / \left(1 + x_{22} / k_{24} + x_{21} / k_{26}\right) / k_{59}\\
\frac{dx_{22}}{dt} = \left(1 \cdot \left(\left(1 + k_{32} \cdot x_{10}\right) \cdot k_{17} \cdot x_{23} / k_{18} - k_{19} \cdot x_{22} / k_{20}\right) / \left(1 + x_{23} / k_{18} + x_{22} / k_{20}\right) + -1 \cdot \left(k_{23} \cdot x_{22} / k_{24} - \left(1 + k_{30} \cdot x_{2}\right) \cdot k_{25} \cdot x_{21} / k_{26}\right) / \left(1 + x_{22} / k_{24} + x_{21} / k_{26}\right)\right) / k_{59}\\
\frac{dx_{23}}{dt} = \left(1 \cdot \left(k_{1} \cdot x_{16} / k_{2} - k_{1} \cdot x_{23} / k_{2}\right) / \left(1 + x_{16} / k_{2} + x_{23} / k_{2}\right) + -1 \cdot \left(\left(1 + k_{29} \cdot x_{10}\right) \cdot k_{3} \cdot x_{23} / k_{4} - k_{5} \cdot x_{17} / k_{6}\right) / \left(1 + x_{23} / k_{4} + x_{17} / k_{6}\right) + -1 \cdot \left(\left(1 + k_{32} \cdot x_{10}\right) \cdot k_{17} \cdot x_{23} / k_{18} - k_{19} \cdot x_{22} / k_{20}\right) / \left(1 + x_{23} / k_{18} + x_{22} / k_{20}\right)\right) / k_{59}