Partial Area Under Curve
Partial Area Under Curve - Related Videos
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Source: Laboratory of Dr. B. Jill Venton - University of Virginia Calibration curves are used to understand the instrumental response to an analyte and predict the concentration in an unknown sample. Generally, a set of standard samples are made at various concentrations with a range than includes the unknown of interest and the instrumental response at each concentration is recorded. For more accuracy and to understand the error, the response at each concentration can be repeated so an error...
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When a substance—isolated from its environment—is subjected to heat changes, corresponding changes in temperature and phase of the substance is observed; this is graphically represented by heating and cooling curves. For instance, the addition of heat raises the temperature of a solid; the amount of heat absorbed depends on the heat capacity of the solid (q = mcsolidΔT). According to thermochemistry, the relation between the amount of heat absorbed or released by a substance, q, and its...
FAQs
The boundaries determine which biological phase contributes to the result. Choosing an interval that represents absorption, a peak response, or recovery allows the analysis to focus on that phase rather than blending it with unrelated portions of the curve. Consequently, the resulting measure can distinguish treatment or physiological effects that may be less visible when the entire response range is summarized.
The trapezoidal rule estimates accumulated response from measurements collected across the selected interval. It uses the values at neighboring points to represent the area between them, then combines those contributions within the defined boundaries. This makes pAUC practical for biological data recorded at discrete time or concentration points, rather than requiring a continuous mathematical description of the curve.
Total AUC summarizes the response across the complete time or concentration range, whereas Partial Area Under Curve restricts the summary to a specified segment. The restricted measure can reveal changes confined to an early, peak, or recovery phase. Two groups may therefore have similar total responses but different pAUC values within a biologically meaningful interval.
First, identify the time or concentration boundaries that define the phase of interest. Next, use the measurements within that interval and estimate the area between successive points, often with the trapezoidal rule. Finally, sum those interval contributions to obtain the pAUC and compare the resulting values across treatments, experimental groups, or physiological conditions.
In blood glucose studies, pAUC can focus analysis on the post-meal interval instead of the complete measurement period. This isolates the portion of the response associated with that defined phase and supports comparisons among treatments or physiological conditions. Such a result may show differences in post-meal glucose behavior that a whole-curve summary could obscure.
For drug concentration measurements, researchers can define an interval corresponding to a biologically relevant portion of the concentration profile, such as absorption or recovery. Integrating only that segment provides a focused comparison among treatments or experimental groups. The approach helps separate changes occurring during the selected phase from patterns occurring elsewhere in the concentration curve.