\frac{dx_{1}}{dt} = \left(-1 \cdot k_{10} \cdot k_{3} \cdot x_{1} + 1 \cdot k_{10} \cdot \left(k_{2} - k_{1} \cdot x_{3}\right) \cdot \left(1 - \operatorname{piecewise}(1, x_{3} - k_{2} / k_{1} > 0, 0)\right)\right) / k_{10}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{10} \cdot k_{4} \cdot x_{1} + -1 \cdot k_{10} \cdot k_{5} \cdot x_{2}\right) / k_{10}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{10} \cdot k_{6} \cdot x_{2} + -1 \cdot k_{10} \cdot k_{7} \cdot x_{3}\right) / k_{10}