\frac{dx_{1}}{dt} = 0\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{13} \cdot k_{15} \cdot \exp\left(84000 / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) / \left(k_{16} + x_{4}^{k_{17}}\right) + -1 \cdot k_{13} \cdot k_{18} \cdot \exp\left(50000 / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{2} / \left(k_{19} + x_{2}\right)\right) / k_{13}\\
\frac{dx_{3}}{dt} = \left(-1 \cdot k_{13} \cdot k_{14} \cdot \exp\left(50000 / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{3} + -1 \cdot k_{13} \cdot k_{20} \cdot \exp\left(50000 / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{3} / \left(k_{21} + x_{3}\right) + 1 \cdot k_{13} \cdot k_{24} \cdot \exp\left(84000 / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{2}\right) / k_{13}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{13} \cdot k_{14} \cdot \exp\left(50000 / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{3} + -1 \cdot k_{13} \cdot k_{22} \cdot \exp\left(50000 / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{4} / \left(k_{23} + x_{4}\right) + -1 \cdot k_{13} \cdot k_{27} \cdot \exp\left(84000 / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{8} \cdot x_{4}^{k_{28}}\right) / k_{13}\\
\frac{dx_{5}}{dt} = 0\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{13} \cdot k_{25} \cdot \exp\left(k_{26} / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot k_{39} + -1 \cdot k_{13} \cdot k_{3} \cdot \exp\left(k_{11} / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{6} + -1 \cdot k_{13} \cdot k_{29} \cdot \exp\left(k_{30} / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{6} / \left(k_{31} + x_{6}\right) + 1 \cdot k_{13} \cdot k_{4} \cdot \exp\left(k_{12} / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{8}\right) / k_{13}\\
\frac{dx_{7}}{dt} = 0\\
\frac{dx_{8}}{dt} = \left(-1 \cdot k_{13} \cdot k_{27} \cdot \exp\left(84000 / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{8} \cdot x_{4}^{k_{28}} + 1 \cdot k_{13} \cdot k_{3} \cdot \exp\left(k_{11} / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{6} + -1 \cdot k_{13} \cdot k_{4} \cdot \exp\left(k_{12} / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{8} + -1 \cdot k_{13} \cdot k_{10} \cdot \exp\left(k_{35} / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{8} / \left(k_{36} + x_{8}\right)\right) / k_{13}\\
\frac{dx_{9}}{dt} = \left(1 \cdot k_{13} \cdot k_{27} \cdot \exp\left(84000 / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{8} \cdot x_{4}^{k_{28}} + -1 \cdot k_{13} \cdot k_{32} \cdot \exp\left(k_{33} / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{9} / \left(k_{34} + x_{9}\right)\right) / k_{13}\\
\frac{dx_{10}}{dt} = \left(1 \cdot k_{13} \cdot k_{18} \cdot \exp\left(50000 / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{2} / \left(k_{19} + x_{2}\right) + 1 \cdot k_{13} \cdot k_{20} \cdot \exp\left(50000 / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{3} / \left(k_{21} + x_{3}\right) + 1 \cdot k_{13} \cdot k_{22} \cdot \exp\left(50000 / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{4} / \left(k_{23} + x_{4}\right) + 1 \cdot k_{13} \cdot k_{29} \cdot \exp\left(k_{30} / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{6} / \left(k_{31} + x_{6}\right) + 1 \cdot k_{13} \cdot k_{32} \cdot \exp\left(k_{33} / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{9} / \left(k_{34} + x_{9}\right) + 1 \cdot k_{13} \cdot k_{10} \cdot \exp\left(k_{35} / k_{5} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right) - k_{1}\right) / \left(k_{1} \cdot \left(296 + k_{6} / 2 \cdot \sin\left(2 \cdot \pi \cdot t / k_{7}\right)\right)\right)\right) \cdot x_{8} / \left(k_{36} + x_{8}\right)\right) / k_{13}