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*Example: Michaelis-Menten*

StochSS implements forward sensitivity analysis based on the CVODES ODE solver [2].

For instance, if we consider the population of $P$ and the parameter $Vmax$ in the Michaelis-Menten model in the **Public Library**. The sensitivity of the rate of the increase in population $P$ to the parameter $Vmax$ is defined as the incremental rate of change in $P$ due to incremental changes in $Vmax$:

\begin{equation}

\frac{\partial P(t)}{\partial V_{max}}.

\end{equation}

These are the sensitivities that StochSS produces. There is no rescaling to make these sensitivities unitless.

#### Example: Michaelis-Menten

In this example we will study the Michaelis-Menten model from the StochSS Public Library. Details on the model can be found in [9].

- Import the model from the public library. By default, it will be called
*michaelis\_menten*. - Navigate to the
**Simulation Manager**, select the model, and click**Next**. - Under
**Simulation type**, select*Deterministic + Sensitivity*. - You can now select the parameters for which you wish to compute sensitivities. For instance you could select $Km$, $k3$, $mu$, and $Vmax$, to perform sensitivity analysis with only these parameters.
- Click
**Run Locally**. - Navigate to the
**Job Summary**page to analyze the output. You can plot species trajectories as well as sensitivities.