\frac{dx_{1}}{dt} = 1 \cdot k_{22} \cdot \left(k_{1} - k_{2} \cdot x_{1} - k_{3} \cdot x_{2}^{k_{13}} \cdot x_{1} / \left(k_{12}^{k_{13}} + x_{2}^{k_{13}}\right) + \left(k_{4} + k_{5} \cdot x_{1}^{k_{7}} / \left(k_{6}^{k_{7}} + x_{1}^{k_{7}}\right)\right) \cdot \left(x_{3} - x_{1}\right) - \left(k_{8} + k_{9} \cdot k_{10}^{k_{11}} / \left(k_{10}^{k_{11}} + x_{1}^{k_{11}}\right)\right) \cdot x_{1}\right) / k_{22}\\ \frac{dx_{2}}{dt} = 1 \cdot k_{22} \cdot \left(\left(k_{14} + k_{15} \cdot x_{1} / 200^{k_{17}} / \left(x_{1} / 200^{k_{17}} + k_{16}^{k_{17}}\right)\right) \cdot \left(1 - x_{2}\right) - \left(k_{18} + k_{19} \cdot k_{20}^{k_{21}} / \left(x_{2}^{k_{21}} + k_{20}^{k_{21}}\right)\right) \cdot x_{2}\right) / k_{22}\\ \frac{dx_{3}}{dt} = 1 \cdot k_{22} \cdot \left(k_{1} - k_{2} \cdot x_{3} - k_{3} \cdot x_{2}^{k_{13}} \cdot x_{3} / \left(k_{12}^{k_{13}} + x_{2}^{k_{13}}\right)\right) / k_{22}