Sensitivity Analysis

Analysis title

Sensitivity Analysis

Provider

Institute of Systems Biology

Class

SensitivityAnalysis

Plugin

biouml.plugins.modelreduction (Model reduction plug-in)

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 unscaled sensitivities ∂c/∂α_j are calculated via finite difference approximations

where c_ss(α_j) and c_ss(α_j+Δα_j) correspond to the solutions of the algebraic systems f(c, α_j) = 0 and f(c, α_j+Δα_j) = 0 respectively.

The scaled sensitivities is calculated by multiplying each component ∂c^k/∂α_j of the vector ∂c/∂α_j by the normalization factor α_j/c^k_ss(α_j).

References

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