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