Sensitivity analysis

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Marc Lefranc

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May 2, 2025, 12:50:38 PMMay 2
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Dear all,

I cannot seem to find the information about what the sensitivity
analysis task (a very useful tool) computes. Specifically, I am
interested in the sensitivity of the non-constant concentrations of
species vs parameter values in a time course task for circadian tasks.

Is the sensitivity computed on the last state of the time course (last
values of the concentrations) ? Or is the entire time course taken into
account ? I am interested in the variation of limit cycle solutions, so
that this makes a difference.

And I guess that the result is something like Delta c/Delta p, where c
is a concentration value and p a parameter value ?

Thank you in advance,
best,
Marc

Pedro Mendes

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May 2, 2025, 3:07:52 PMMay 2
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Hi Marc,

Yes, the sensitivity analysis tool, when applied to time course, only
takes into consideration the last time point. The unscaled sensitivities
are indeed calculated as delta c/ delta p (c for concentration, but it
could be any other variable of the model, such as fluxes, etc.). The
sca;ed sensitivities are calculated as (delta c)/c / (delta p)/p which
is equivalent to delta log(c)/delta log(p)

Pedro
--
Pedro Mendes, PhD
Professor and Director
Richard D. Berlin Center for Cell Analysis and Modeling
University of Connecticut School of Medicine
group website: http://www.comp-sys-bio.org

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