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