# Potency Assays

STATLIA MATRIX performs both potency methods referenced in the USP 1032, 1033, 1034 and EP 5.3 guidelines.**Relative Potency and Parallelism Testing**

The relative potency of a test sample is the amount of biological activity it produces compared to an equal amount of a reference standard under the same conditions. Relative potency is measured between a series of dilution doses from both materials. Testing for parallelism (similarity) is a prerequisite for determining the relative potency of two bioactive substances in biological systems. Parallelism testing is also used for matrix effects (linearity), cross-reactivity, interfering substances, concentration estimation, and inhibition studies.

The dilution series can span a full dose response nonlinear curve or a more limited linear set of doses. The advantage of a full dose response curve is that some differences between substances only appear at high or low doses, and relative potency is more accurately determined. But the more limited number of doses needed for a linear comparison is an advantage for animal studies and requires simpler math computations.

The three main approaches to assessing the parallelism between substances are direct measures of parallelism (RSSEs), hypothesis tests (F test), and empirical tests (Equivalence Method). The first two approaches utilize the residual method from regression statistics, and the latter method compares regression parameters. All of these methods are cited in the USP 1032, 1033, 1034 and EP 5.3 guidelines and are available in STATLIA MATRIX.

**Each Potency Method Uses the Most Accurate Computations In the Industry**

### Residual Parallelism

Residual Parallelism (also called Difference Testing), is a measure of the similarity between the weighted residuals^{2} of the individual dilutions of the two 5PL or 4PL curves or the linear regression of two lines.

STATLIA MATRIX uses the weighted residuals^{2} between the observed points and their respective curves to provide an actual measure of the amount of nonparallelism between the two curves or lines to determine parallelism.

### Confidence Interval Parallelism

Confidence Interval Parallelism (also called the Equivalence Method), is a measure of the similarity between the asymptotic end points plus the inflection point of two curves. For linear regression, the similarity of the slopes is measured.

STATLIA MATRIX uses Monte Carlo determinations to compute the confidence limits of each curve or line’s coefficients and then compares them to determine parallelism.

**Even Your Most Difficult Potency Assays Are Easily Handled in STATLIA MATRIX**

**Relative Potencies from The Same Unknown Are Pulled from The Database and Combined**

STATLIA MATRIX automatically collects all relative potencies that have been computed for identical unknowns in any previous assay. These relative potencies are listed in each assay report along with their logarithmic and arithmetic (not shown) metrics. Failed test sample’s results can be automatically suppressed, if desired.

Control dilution curves can also be assayed. Control relative potencies are compared to reference statistics from your pooled assays or tolerance ranges set by your laboratory for Pass/Fail determinations.

**Your Previously Run Assays Show If Your Potency Test is Stable and Reliable**

Use STATLIA MATRIX graphs and metrics of the data from a pool of your previously run assays to determine the stability and reliability of your potency test. The standard and unknown Fit RSSE distribution’s show the suitability of the test for reliable potency determinations. The red line shows the acceptance thresholds, either computed automatically by the software or set by the laboratory. The cumulative percentage of curves at each level of Fit RSSE is plotted on the right axis in green.

The relative potencies (X-axis) versus their confidence limit ratios (Y-axis) are plotted for all unknowns (blue dots) in the pooled previously run assays. The log of the upper/lower confidence limits of the relative potency estimate (RP CL Ratio), determined using Monte Carlo estimations, show the reliability and stability of the relative potency results across the range of values tested. A rise in the RP CL Ratio at either end shows the limits of reliability for relative potency determinations.