The Convolution object allows generating a predicted response to a known input (like a product dissolution profile) given a known response to an impulse input (e.g., IV bolus). The response to the impulse is called a unit impulse response (UIR).
The Convolution object requires two datasets: the input profile as either a rate or cumulative amount; and a UIR profile or function. Either profile may be entered as either a polyexponential function or an arbitrary set of points. A polyexponential function is defined by a set of up to nine pairs of coefficient (A) and exponent (alpha) values. An arbitrary profile will be broken down into either a series of step functions or linear splines. Typical usage is to specify an input as an arbitrary profile (e.g., cumulative drug dissolution) and the UIR as a polyexponential function.
Note: Only numeric values are valid for input data and any non-numeric values should be filtered out prior to execution. If non-numeric values are encountered, results will not be generated for that profile.
A separate convolution is computed for each profile, that is, for each unique combination of Sort variable values. The two datasets are joined on any sort variables that have identical names in both datasets. Phoenix uses the cross-product of any unmatched sort keys. If the input contains profiles for subjects “A” and “B”, and the UIR data contains parameters for subjects “A”, “B”, and “C”, then the output will contain profiles for “A”, “B”, “AC”, and “BC”.
Use one of the following to add the object to a Workflow:
Right-click menu for a Workflow object: New > Computation Tools > Convolution.
Main menu: Insert > Computation Tools > Convolution.
Right-click menu for a worksheet: Send To > Computation Tools > Convolution.
To view the object in its own window, select it in the Object Browser and double-click it or press ENTER. All instructions for setting up and execution are the same whether the object is viewed in its own window or in Phoenix view.
The following topics are discussed:
User interface description
– Plots tab (See the description of the NCA “Plots tab”.)
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