Difference between revisions of "Sensitivity Analysis"

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==== Description ====
 
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

DAE-models-Sensitivity-Analysis-sa1.png

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

DAE-models-Sensitivity-Analysis-sa2.png

where css(αj) and css(αjαj) correspond to the solutions of the algebraic systems f(c, αj) = 0 and f(c, αjαj) = 0 respectively.

References

  1. H Rabitz, M Kramer, D Dacol, "Sensitivity analysis in chemical kinetics". Annu. Rev. of Phys. Chem., 34:419-461.
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