\frac{dx_{1}}{dt} = \left(1 \cdot k_{15} + -1 \cdot \left(k_{13} \cdot \left(k_{5} - x_{9}\right) + k_{14} \cdot x_{9}\right) \cdot x_{1} + -1 \cdot k_{16} \cdot x_{1} \cdot x_{10}\right) / k_{37}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{16} \cdot x_{1} \cdot x_{10} + 1 \cdot k_{17} \cdot x_{3} + -1 \cdot \left(k_{10} \cdot x_{7} + k_{11} \cdot \left(k_{3} - x_{7}\right)\right) \cdot x_{2} + -1 \cdot k_{18} \cdot x_{2} + -1 \cdot \left(k_{13} \cdot \left(k_{5} - x_{9}\right) + k_{14} \cdot x_{9}\right) \cdot x_{2} + 1 \cdot \left(k_{7} \cdot \left(k_{2} - x_{6}\right) + k_{8} \cdot x_{6}\right) \cdot x_{4}\right) / k_{37}\\
\frac{dx_{3}}{dt} = \left(-1 \cdot k_{17} \cdot x_{3} + 1 \cdot k_{18} \cdot x_{2} + -1 \cdot \left(k_{10} \cdot x_{7} + k_{11} \cdot \left(k_{3} - x_{7}\right)\right) \cdot x_{3} + 1 \cdot \left(k_{7} \cdot \left(k_{2} - x_{6}\right) + k_{8} \cdot x_{6}\right) \cdot x_{5} + -1 \cdot \left(k_{13} \cdot \left(k_{5} - x_{9}\right) + k_{14} \cdot x_{9}\right) \cdot x_{3}\right) / k_{37}\\
\frac{dx_{4}}{dt} = \left(1 \cdot \left(k_{10} \cdot x_{7} + k_{11} \cdot \left(k_{3} - x_{7}\right)\right) \cdot x_{2} + -1 \cdot \left(k_{7} \cdot \left(k_{2} - x_{6}\right) + k_{8} \cdot x_{6}\right) \cdot x_{4} + -1 \cdot k_{18} \cdot x_{4} + -1 \cdot \left(k_{13} \cdot \left(k_{5} - x_{9}\right) + k_{14} \cdot x_{9}\right) \cdot x_{4} + 1 \cdot k_{17} \cdot x_{5}\right) / k_{37}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{18} \cdot x_{4} + -1 \cdot k_{17} \cdot x_{5} + 1 \cdot \left(k_{10} \cdot x_{7} + k_{11} \cdot \left(k_{3} - x_{7}\right)\right) \cdot x_{3} + -1 \cdot \left(k_{7} \cdot \left(k_{2} - x_{6}\right) + k_{8} \cdot x_{6}\right) \cdot x_{5} + -1 \cdot \left(k_{13} \cdot \left(k_{5} - x_{9}\right) + k_{14} \cdot x_{9}\right) \cdot x_{5}\right) / k_{37}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{19} \cdot x_{3} \cdot \left(k_{2} - x_{6}\right) / \left(k_{20} + k_{2} - x_{6}\right) + -1 \cdot k_{21} \cdot x_{6} / \left(k_{22} + x_{6}\right)\right) / k_{37}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{23} \cdot x_{3} \cdot \left(k_{3} - x_{7}\right) / \left(k_{24} + k_{3} - x_{7}\right) + -1 \cdot k_{25} \cdot x_{7} / \left(k_{26} + x_{7}\right)\right) / k_{37}\\
\frac{dx_{8}}{dt} = \left(1 \cdot k_{27} \cdot x_{3} \cdot \left(k_{4} - x_{8}\right) / \left(k_{28} + k_{4} - x_{8}\right) + -1 \cdot k_{29} \cdot x_{8} / \left(k_{30} + x_{8}\right)\right) / k_{37}\\
\frac{dx_{9}}{dt} = \left(1 \cdot k_{31} \cdot x_{8} \cdot \left(k_{5} - x_{9}\right) / \left(k_{32} + k_{5} - x_{9}\right) + -1 \cdot k_{33} \cdot x_{9} / \left(k_{34} + x_{9}\right)\right) / k_{37}