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Clemens Kreutz edited this page Aug 1, 2019 · 3 revisions

The Retarded Transient Function (RTF) approach

There are two versions of the "transient functions" so far:

  1. The "transient function" (TF) for immediate response.
  2. The "retarded transient function (RTF)" for delayed responses

Both functions are universal tools describing many time course from the systems biology field data amazingly well. D2D contains examples in the folder arFramework3\Examples\ToyModels\TransientFunction.

The transient functions have a sustained and a transient fraction and can describe responses in upward and downward directions, i.e. activatory and inhibitory dynamics in the systems biology setting. Therefore, fitting involves testing both directions. Fitting both possibilitites is done by arFitTransient.m.

For using arFitLHS, arFits had to be adapted in order to call arFitTransient instead of arFit. Moreover, reasonable bounds are required especially for the time-scales. This is done in DefaultLbUbTransient*. The meaning of the parameters is determined in Initialize_FitTransient. All these functions are in folder arFramework3\Examples\ToyModels\TransientFunction_library.

Examples:

Four fits of the RTF to data

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