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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.