\frac{dx_{1}}{dt} = \left(-\left(k_{1} \cdot x_{5} + k_{9} \cdot x_{7}\right)\right) \cdot x_{1}\\ \frac{dx_{2}}{dt} = \left(-k_{2}\right) \cdot \left(1 + k_{10}\right) \cdot x_{4} \cdot x_{2}\\ \frac{dx_{3}}{dt} = \left(-k_{4}\right) \cdot x_{6} \cdot x_{3}\\ \frac{dx_{4}}{dt} = \left(k_{1} \cdot x_{5} + k_{9} \cdot x_{7}\right) \cdot x_{1} - k_{5} \cdot x_{4}\\ \frac{dx_{5}}{dt} = k_{2} \cdot x_{4} \cdot x_{2} - k_{3} \cdot x_{7} \cdot x_{5} - k_{6} \cdot x_{5}\\ \frac{dx_{6}}{dt} = k_{2} \cdot k_{10} \cdot x_{4} \cdot x_{2} + k_{3} \cdot x_{7} \cdot x_{5} - k_{7} \cdot x_{6}\\ \frac{dx_{7}}{dt} = k_{4} \cdot x_{6} \cdot x_{3} - k_{8} \cdot x_{7}