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