\frac{dx_{1}}{dt} = 0\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{27} \cdot k_{19} \cdot k_{17} / k_{18} \cdot k_{28} / k_{8}^{k_{2}} / \left(1 + k_{28} / k_{8}^{k_{2}}\right) + -1 \cdot k_{27} \cdot k_{20} \cdot k_{17} / k_{18} \cdot x_{3} / k_{9}^{k_{15} - \left(k_{15} - k_{16}\right) \cdot x_{4} / k_{10} / \left(1 + x_{4} / k_{10}\right)} / \left(x_{3} / k_{9}^{k_{15} - \left(k_{15} - k_{16}\right) \cdot x_{4} / k_{10} / \left(1 + x_{4} / k_{10}\right)} + \left(1 + x_{4} / k_{12}^{k_{14}}\right) / \left(1 + k_{13}^{k_{15} - \left(k_{15} - k_{16}\right) \cdot x_{4} / k_{10} / \left(1 + x_{4} / k_{10}\right)} \cdot x_{4} / k_{12}^{k_{14}}\right)\right)\right) / k_{27}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{27} \cdot k_{20} \cdot k_{17} / k_{18} \cdot x_{3} / k_{9}^{k_{15} - \left(k_{15} - k_{16}\right) \cdot x_{4} / k_{10} / \left(1 + x_{4} / k_{10}\right)} / \left(x_{3} / k_{9}^{k_{15} - \left(k_{15} - k_{16}\right) \cdot x_{4} / k_{10} / \left(1 + x_{4} / k_{10}\right)} + \left(1 + x_{4} / k_{12}^{k_{14}}\right) / \left(1 + k_{13}^{k_{15} - \left(k_{15} - k_{16}\right) \cdot x_{4} / k_{10} / \left(1 + x_{4} / k_{10}\right)} \cdot x_{4} / k_{12}^{k_{14}}\right)\right) + -1 \cdot k_{27} \cdot k_{21} \cdot k_{17} / k_{18} \cdot \left(x_{4} / k_{10} - x_{5} \cdot x_{6} / \left(k_{23} \cdot k_{24} \cdot k_{25}\right)\right) / \left(1 + x_{4} / k_{10} + x_{6} / k_{24} + x_{5} \cdot x_{6} / \left(k_{23} \cdot k_{24}\right)\right)\right) / k_{27}\\
\frac{dx_{7}}{dt} = \left(2 \cdot k_{27} \cdot k_{21} \cdot k_{17} / k_{18} \cdot \left(x_{4} / k_{10} - x_{5} \cdot x_{6} / \left(k_{23} \cdot k_{24} \cdot k_{25}\right)\right) / \left(1 + x_{4} / k_{10} + x_{6} / k_{24} + x_{5} \cdot x_{6} / \left(k_{23} \cdot k_{24}\right)\right) + -1 \cdot k_{27} \cdot k_{22} \cdot k_{17} / k_{18} \cdot x_{5} / \left(k_{11} + x_{5}\right)\right) / k_{27}