Difference between revisions of "Sensitivity Analysis"
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The method calculates sensitivities associated with the steady state of the purely temporal system | The method calculates sensitivities associated with the steady state of the purely temporal system | ||
Revision as of 15:41, 18 April 2013
- Analysis title
- Sensitivity Analysis
- Provider
- Institute of Systems Biology
Description
The method calculates sensitivities associated with the steady state of the purely temporal system
where c is the n-vector of species concentrations, α is the m-vector of systems parameters (which can include the initial conditions c0), and t (time) is the variable of integration.
The local sensitivities ∂c/∂αj are calculated via finite difference approximations
where css(αj) and css(αj+Δαj) correspond to the solutions of the algebraic systems f(c, αj) = 0 and f(c, αj+Δαj) = 0 respectively.
References
- H Rabitz, M Kramer, D Dacol, "Sensitivity analysis in chemical kinetics". Annu. Rev. of Phys. Chem., 34:419-461.