\frac{dx_{1}}{dt} = \left(-1 \cdot k_{57} \cdot \left(k_{10} \cdot k_{1} + k_{11} \cdot x_{10} + k_{12} \cdot x_{11}\right) \cdot x_{1} + 1 \cdot k_{57} \cdot k_{13} \cdot x_{2} + 1 \cdot k_{57} \cdot k_{9} \cdot x_{4} + -1 \cdot k_{57} \cdot \left(k_{7} \cdot x_{1} \cdot x_{3} - k_{8} \cdot x_{4}\right)\right) / k_{57}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{57} \cdot \left(k_{10} \cdot k_{1} + k_{11} \cdot x_{10} + k_{12} \cdot x_{11}\right) \cdot x_{1} + 1 \cdot k_{57} \cdot \left(k_{10} \cdot k_{1} + k_{11} \cdot x_{10} + k_{12} \cdot x_{11}\right) \cdot x_{4} + -1 \cdot k_{57} \cdot k_{13} \cdot x_{2}\right) / k_{57}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{57} \cdot \left(k_{10} \cdot k_{1} + k_{11} \cdot x_{10} + k_{12} \cdot x_{11}\right) \cdot x_{4} + 1 \cdot k_{57} \cdot \left(k_{4} + k_{5} \cdot x_{3} / \left(k_{6} + x_{3}\right)\right) + -1 \cdot k_{57} \cdot k_{9} \cdot x_{3} + -1 \cdot k_{57} \cdot \left(k_{7} \cdot x_{1} \cdot x_{3} - k_{8} \cdot x_{4}\right)\right) / k_{57}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot k_{57} \cdot \left(k_{10} \cdot k_{1} + k_{11} \cdot x_{10} + k_{12} \cdot x_{11}\right) \cdot x_{4} + -1 \cdot k_{57} \cdot k_{9} \cdot x_{4} + 1 \cdot k_{57} \cdot \left(k_{7} \cdot x_{1} \cdot x_{3} - k_{8} \cdot x_{4}\right)\right) / k_{57}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{57} \cdot k_{14} \cdot x_{3} + -1 \cdot k_{57} \cdot k_{16} \cdot x_{5} + -1 \cdot k_{57} \cdot \left(k_{21} \cdot x_{5} \cdot x_{6} - k_{22} \cdot x_{8}\right) + 1 \cdot k_{57} \cdot \left(k_{17} + k_{18} \cdot x_{10} + k_{19} \cdot x_{11}\right) \cdot x_{8}\right) / k_{57}\\
\frac{dx_{6}}{dt} = \left(-1 \cdot k_{57} \cdot \left(k_{21} \cdot x_{5} \cdot x_{6} - k_{22} \cdot x_{8}\right) + 1 \cdot k_{57} \cdot k_{15} \cdot x_{8} + -1 \cdot k_{57} \cdot \left(k_{17} + k_{18} \cdot x_{10} + k_{19} \cdot x_{11}\right) \cdot x_{6} + 1 \cdot k_{57} \cdot k_{20} \cdot x_{7}\right) / k_{57}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{57} \cdot \left(k_{17} + k_{18} \cdot x_{10} + k_{19} \cdot x_{11}\right) \cdot x_{6} + 1 \cdot k_{57} \cdot \left(k_{17} + k_{18} \cdot x_{10} + k_{19} \cdot x_{11}\right) \cdot x_{8} + -1 \cdot k_{57} \cdot k_{20} \cdot x_{7}\right) / k_{57}\\
\frac{dx_{8}}{dt} = \left(1 \cdot k_{57} \cdot \left(k_{21} \cdot x_{5} \cdot x_{6} - k_{22} \cdot x_{8}\right) + -1 \cdot k_{57} \cdot k_{15} \cdot x_{8} + -1 \cdot k_{57} \cdot \left(k_{17} + k_{18} \cdot x_{10} + k_{19} \cdot x_{11}\right) \cdot x_{8}\right) / k_{57}\\
\frac{dx_{9}}{dt} = \left(1 \cdot k_{57} \cdot \left(k_{23} + k_{24} \cdot x_{21}\right) + -1 \cdot k_{57} \cdot \left(k_{30} \cdot x_{10} \cdot x_{9} - k_{31} \cdot x_{12}\right) + -1 \cdot k_{57} \cdot \left(k_{30} \cdot x_{11} \cdot x_{9} - k_{31} \cdot x_{13}\right) + 1 \cdot k_{57} \cdot \left(k_{32} + k_{34} \cdot x_{11}\right) \cdot x_{12} + 1 \cdot k_{57} \cdot \left(k_{33} + k_{35} \cdot x_{6}\right) \cdot x_{13} + -1 \cdot k_{57} \cdot \left(k_{25} + k_{26} \cdot k_{2} \cdot \left(x_{10} + x_{11}\right) + k_{27} \cdot k_{3} \cdot x_{18}\right) \cdot x_{9} + 1 \cdot k_{57} \cdot k_{37} \cdot x_{15} + -1 \cdot k_{57} \cdot \left(k_{44} \cdot x_{14} \cdot x_{9} - k_{45} \cdot x_{15}\right) + -1 \cdot k_{57} \cdot \left(k_{44} \cdot x_{18} \cdot x_{9} - k_{45} \cdot x_{19}\right)\right) / k_{57}\\
\frac{dx_{10}}{dt} = \left(1 \cdot k_{57} \cdot k_{28} \cdot x_{3} + -1 \cdot k_{57} \cdot \left(k_{30} \cdot x_{10} \cdot x_{9} - k_{31} \cdot x_{12}\right) + 1 \cdot k_{57} \cdot \left(k_{25} + k_{26} \cdot k_{2} \cdot \left(x_{10} + x_{11}\right) + k_{27} \cdot k_{3} \cdot x_{18}\right) \cdot x_{12} + -1 \cdot k_{57} \cdot \left(k_{32} + k_{34} \cdot x_{11}\right) \cdot x_{10}\right) / k_{57}\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{57} \cdot k_{29} \cdot x_{3} + -1 \cdot k_{57} \cdot \left(k_{30} \cdot x_{11} \cdot x_{9} - k_{31} \cdot x_{13}\right) + 1 \cdot k_{57} \cdot \left(k_{25} + k_{26} \cdot k_{2} \cdot \left(x_{10} + x_{11}\right) + k_{27} \cdot k_{3} \cdot x_{18}\right) \cdot x_{13} + -1 \cdot k_{57} \cdot \left(k_{33} + k_{35} \cdot x_{6}\right) \cdot x_{11}\right) / k_{57}\\
\frac{dx_{12}}{dt} = \left(1 \cdot k_{57} \cdot \left(k_{30} \cdot x_{10} \cdot x_{9} - k_{31} \cdot x_{12}\right) + -1 \cdot k_{57} \cdot \left(k_{25} + k_{26} \cdot k_{2} \cdot \left(x_{10} + x_{11}\right) + k_{27} \cdot k_{3} \cdot x_{18}\right) \cdot x_{12} + -1 \cdot k_{57} \cdot \left(k_{32} + k_{34} \cdot x_{11}\right) \cdot x_{12}\right) / k_{57}\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{57} \cdot \left(k_{30} \cdot x_{11} \cdot x_{9} - k_{31} \cdot x_{13}\right) + -1 \cdot k_{57} \cdot \left(k_{25} + k_{26} \cdot k_{2} \cdot \left(x_{10} + x_{11}\right) + k_{27} \cdot k_{3} \cdot x_{18}\right) \cdot x_{13} + -1 \cdot k_{57} \cdot \left(k_{33} + k_{35} \cdot x_{6}\right) \cdot x_{13}\right) / k_{57}\\
\frac{dx_{14}}{dt} = \left(1 \cdot k_{57} \cdot k_{36} + -1 \cdot k_{57} \cdot k_{37} \cdot x_{14} + -1 \cdot k_{57} \cdot \left(k_{44} \cdot x_{14} \cdot x_{9} - k_{45} \cdot x_{15}\right) + 1 \cdot k_{57} \cdot \left(k_{25} + k_{26} \cdot k_{2} \cdot \left(x_{10} + x_{11}\right) + k_{27} \cdot k_{3} \cdot x_{18}\right) \cdot x_{15} + -1 \cdot k_{57} \cdot \left(k_{42} \cdot x_{14} \cdot x_{17} - k_{43} \cdot x_{18}\right) + 1 \cdot k_{57} \cdot \operatorname{piecewise}(0, x_{20} < 1, \operatorname{piecewise}(1 \cdot x_{18}, x_{20} > 1, \frac{1}{2} \cdot x_{18}))\right) / k_{57}\\
\frac{dx_{15}}{dt} = \left(-1 \cdot k_{57} \cdot k_{37} \cdot x_{15} + 1 \cdot k_{57} \cdot \left(k_{44} \cdot x_{14} \cdot x_{9} - k_{45} \cdot x_{15}\right) + -1 \cdot k_{57} \cdot \left(k_{25} + k_{26} \cdot k_{2} \cdot \left(x_{10} + x_{11}\right) + k_{27} \cdot k_{3} \cdot x_{18}\right) \cdot x_{15} + -1 \cdot k_{57} \cdot \left(k_{42} \cdot x_{15} \cdot x_{17} - k_{43} \cdot x_{19}\right) + 1 \cdot k_{57} \cdot \operatorname{piecewise}(0, x_{20} < 1, \operatorname{piecewise}(1 \cdot x_{19}, x_{20} > 1, \frac{1}{2} \cdot x_{19}))\right) / k_{57}\\
\frac{dx_{16}}{dt} = \left(-1 \cdot k_{57} \cdot k_{38} \cdot x_{10} + x_{11}^{k_{41}} / \left(k_{40}^{k_{41}} + x_{10} + x_{11}^{k_{41}}\right) \cdot x_{16} + 1 \cdot k_{57} \cdot k_{39} \cdot x_{17} + -1 \cdot k_{57} \cdot \operatorname{piecewise}(0, x_{20} < 1, \operatorname{piecewise}(1 \cdot x_{16}, x_{20} > 1, \frac{1}{2} \cdot x_{16}))\right) / k_{57}\\
\frac{dx_{17}}{dt} = \left(-1 \cdot k_{57} \cdot \left(k_{42} \cdot x_{14} \cdot x_{17} - k_{43} \cdot x_{18}\right) + -1 \cdot k_{57} \cdot \left(k_{42} \cdot x_{15} \cdot x_{17} - k_{43} \cdot x_{19}\right) + 1 \cdot k_{57} \cdot k_{38} \cdot x_{10} + x_{11}^{k_{41}} / \left(k_{40}^{k_{41}} + x_{10} + x_{11}^{k_{41}}\right) \cdot x_{16} + -1 \cdot k_{57} \cdot k_{39} \cdot x_{17} + -1 \cdot k_{57} \cdot \operatorname{piecewise}(0, x_{20} < 1, \operatorname{piecewise}(1 \cdot x_{17}, x_{20} > 1, \frac{1}{2} \cdot x_{17}))\right) / k_{57}\\
\frac{dx_{18}}{dt} = \left(1 \cdot k_{57} \cdot \left(k_{42} \cdot x_{14} \cdot x_{17} - k_{43} \cdot x_{18}\right) + -1 \cdot k_{57} \cdot \left(k_{44} \cdot x_{18} \cdot x_{9} - k_{45} \cdot x_{19}\right) + 1 \cdot k_{57} \cdot \left(k_{25} + k_{26} \cdot k_{2} \cdot \left(x_{10} + x_{11}\right) + k_{27} \cdot k_{3} \cdot x_{18}\right) \cdot x_{19} + -1 \cdot k_{57} \cdot \operatorname{piecewise}(0, x_{20} < 1, \operatorname{piecewise}(1 \cdot x_{18}, x_{20} > 1, \frac{1}{2} \cdot x_{18}))\right) / k_{57}\\
\frac{dx_{19}}{dt} = \left(1 \cdot k_{57} \cdot \left(k_{42} \cdot x_{15} \cdot x_{17} - k_{43} \cdot x_{19}\right) + 1 \cdot k_{57} \cdot \left(k_{44} \cdot x_{18} \cdot x_{9} - k_{45} \cdot x_{19}\right) + -1 \cdot k_{57} \cdot \left(k_{25} + k_{26} \cdot k_{2} \cdot \left(x_{10} + x_{11}\right) + k_{27} \cdot k_{3} \cdot x_{18}\right) \cdot x_{19} + -1 \cdot k_{57} \cdot \operatorname{piecewise}(0, x_{20} < 1, \operatorname{piecewise}(1 \cdot x_{19}, x_{20} > 1, \frac{1}{2} \cdot x_{19}))\right) / k_{57}\\
\frac{dx_{20}}{dt} = 1 \cdot k_{57} \cdot k_{46} \cdot x_{18} / k_{57}\\
\frac{dx_{21}}{dt} = \left(1 \cdot k_{57} \cdot k_{47} + -1 \cdot k_{57} \cdot k_{48} / \left(k_{49} + x_{22}\right) \cdot x_{21}\right) / k_{57}\\
\frac{dx_{22}}{dt} = \left(1 \cdot k_{57} \cdot k_{50} + 1 \cdot k_{57} \cdot k_{51} \cdot x_{18} + -1 \cdot k_{57} \cdot \left(k_{52} + k_{53} \cdot x_{21} / \left(k_{54} + x_{22}\right)\right) \cdot x_{22}\right) / k_{57}\\
\frac{dx_{23}}{dt} = \left(1 \cdot k_{57} \cdot k_{55} + -1 \cdot k_{57} \cdot \left(k_{56} + k_{35} \cdot x_{6}\right) \cdot x_{23}\right) / k_{57}