\frac{dx_{1}}{dt} = 0 / k_{13}\\ \frac{dx_{2}}{dt} = \left(1 \cdot k_{13} \cdot k_{1} \cdot x_{2} \cdot \left(1 - \left(x_{2} + x_{3}\right) / k_{3}\right) + -1 \cdot k_{13} \cdot \left(k_{4} + \left(\frac{1}{2} + x_{1}^{2} / \left(5^{2} + x_{1}^{2}\right)\right) \cdot k_{10} / \left(k_{10} + x_{5}^{2}\right)\right) \cdot x_{2}\right) / k_{13}\\ \frac{dx_{3}}{dt} = \left(1 \cdot k_{13} \cdot k_{2} \cdot x_{3} \cdot \left(1 - \left(x_{2} + x_{3}\right) / k_{3}\right) + -1 \cdot k_{13} \cdot \left(k_{4} + k_{7} \cdot x_{4}^{2} / \left(k_{8} + x_{4}^{2}\right)\right) \cdot x_{3}\right) / k_{13}\\ \frac{dx_{4}}{dt} = \left(1 \cdot k_{13} \cdot k_{5} \cdot x_{2} + -1 \cdot k_{13} \cdot \left(k_{11} + k_{4}\right) \cdot x_{4}\right) / k_{13}\\ \frac{dx_{5}}{dt} = \left(1 \cdot k_{13} \cdot \left(\frac{1}{50} + \frac{3}{100} \cdot x_{1}^{2} / \left(5^{2} + x_{1}^{2}\right)\right) \cdot x_{3} + -1 \cdot k_{13} \cdot \left(k_{12} + k_{4}\right) \cdot x_{5}\right) / k_{13}\\ \frac{dx_{6}}{dt} = 0\\ \frac{dx_{7}}{dt} = 0