Here some details and tips that should help you with curve fitting when the standard calculation doesn’t yield the expected result. Sub-topics are:
Activity Data Validation
As soon as you have imported your data, go to the page for that run and look at the Data Summary tab. CDD provides the following tools to detect and investigate problems.
The Z′-factor (Z prime) describes how well separated the positive and negative controls are, and is widely used as a measure of assay quality. Values between 0.5 and 1 are excellent, values between 0 and 0.5 may be acceptable, and values less than 0 indicate the assay is unlikely to be usable in a high-throughput context. On the run page we display a Z′-factor for each plate, as well as one for the run as a whole. Learn more about plate quality control.
While the Z′-factor conveys assay quality in a single number, heat maps allow you to visualize subtleties in your data and quickly spot problems such as column or edge effects. Click 'View all heat maps for this run' to see all the plates at once.
Curve Fit Validation
Most users will want to inspect each dose-response curve individually, and CDD makes it easy to filter and categorize your curves according to pertinent curve fit parameters. A dose-response protocol automatically calculates and provides a comprehensive set of parameters and statistics to quantitatively assess validity of the curve fit in addition to the intercept value.
|Intercept CI Lower||95% Lower Confidence limit of the intercept value|
|Intercept CI Upper||95% Upper Confidence limit of the intercept value|
|Intercept Fold Change||If a reference control is defined on the plate map, the fold change is the ratio of the test compound intercept to the reference compound intercept. Fold change is calculated per plate or per run, depending on the protocol definition.|
|Hill slope||The hill coefficient is one of the 4 parameter equation of the displayed curve fit, as defined in the protocol.|
|Span||Span is defined as the difference between Maximum Response and Baseline Response (in other words, the difference between the two asymptotes of the curve)|
|Baseline Response||The curve minimum or bottom parameter of the 4 parameter equation of the displayed curve fit, as defined in the protocol.|
|Maximum Response||The curve maximum or top parameter of the 4 parameter equation of the displayed curve fit, as defined in the protocol.|
|R-squared||R squared statistic that describes the goodness of curve fit to the actual data points.|
|N||The total number of data points used to perform the curve fit. This includes all of the replicate point.|
|Curve Class||Curve classification score developed by the NIH based on R-squared and maximum measured activity|
|Minimum Measured||Minimum extremal value of all measured responses. NOTE: The minimum activity is not necessarily measured at minimum tested concentration.|
|Maximum Measured||Maximum extremal value of all measured responses. NOTE: The maximum activity is not necessarily measure at maximum tested concentration.|
From the search page, you can filter the tested compounds based on the curve fit parameters listed in the table above.
You can also specify an additional criterion on the calculated intersections:
One of the available parameters available for validation is "curve class".
Filtering by curve class allows you to easily separate compounds based on the quality of the dose-response curve.
Dose-response curve classification was first proposed in Inglese et al. (Quantitative high-throughput screening: A titration-based approach that efficiently identifies biological activities in large chemical libraries)
Curves are classified based on the quality of curve fit to the data (R2), the magnitude of the response (maximum activity), and the number of asymptotes to the calculated curve.
We have augmented the classification based on conversations with one of the authors of the NCGC CurveFit code by Yuhong Wang, Ajit Jadhav and Noel Southall.
|1||Complete curve, showing multiple points near both asymptotes.
|2||Partial curve, showing multiple points near only one asymptote.
The subclasses 2.1, 2.2, 2.3 and 2.4 follow the same divisions as class 1 curves.
|3||Only one concentration shows significant activity.|
Inactive. None of the tested concentrations show significant activity.
Dose-response plots are automatically displayed in the results when you search for a protocol with a dose-response calculation.
When the fit is successful, it is displayed as well as the sample points and outliers. If you have run replicates, the mean at each dose is plotted with error bars. Error bars represent the standard error of the mean. Finally, the intercepts are represented as dashed lines if they fall inside the dose series.
Click on a plot or the icon and a new Dose-response window will open. This window can be expanded full screen and the plot resizes accordingly. From there, you can zoom in on any area of interest. Click on the Tips link to learn how to interact with the plot.
You can see the plot legend by opening the interactive version of the plot.
When you are visualizing dose-response data on the search results page, the points and curves for a specific run are always drawn using the same color across all plots. The same color is also used for the interactive plot. Outliers and the intercept lines are displayed using a lighter version of that same color.
Reference substance plot will be overlaid on any sample plot, when displaying data for only one run, if the data you imported includes a reference substance and you have defined it in your control layouts.
When a reference substance is not defined, but a dose-response series is defined for a positive control, this plot will be overlaid on the sample plots.
Notice a point that is clearly an outlier? You can flag it as an outlier either graphically or textually. Graphically being the easiest.
Click on the “Flag outliers and Override” tab in the upper right-hand corner of the window and the Dose-response window opens in edit mode. Zoom in on an area around it and click the point to flag it down. That's it, you are done!
Don't forget to click "Save Changes". The fit and end-point calculations will be adjusted accordingly.
On the search page, change the display options to include the dose-response protocol activity readouts (raw data, % inhibition, and concentration) then click on the "Flag outliers" link located in the search results table header. Locate the readout and click on the "flag" icon. The result row will refresh with the updated fit data and plot.
On the run page, under the “All Data” tab, click on the “Edit” link of the row containing the readout you want to flag as an outlier, then click on the "flag" icon. Save any changes by clicking the “Update this readout” button. The readout row (and any other row for the same batch) will be refreshed with the updated fit.
Manual Override of Curve Fit Parameters
If you've already set fit parameters while defining your protocol, you will see that they were applied to the specific curve in the dose-response window. You can choose to override these default parameters either by clearing them completely, which sets them to "float", or by assigning different parameters to this specific curve. The options are the same as for the protocol-level fit parameters, and are found in the Dose-response window you used to mark outliers (see above section). Switch to the "Flag outliers and Override" tab in the top right corner.
Override IC50, EC50, ....
When all else fails, you have the option to override a calculated dose-response value: when the curve fit produces a mathematically correct, but biologically invalid result, and none of the fit adjustments seem to help. This option is located in the Dose-response window you used to mark outliers. Switch to the "Flag outliers and Override" tab in the top right corner, and look in the side-bar. Each curve and each calculated end-point will have their own override. For example, if you calculate an IC90 and an IC99 on the same set of data you will have two overrides.
A calculated value may be manually changed to:
- > Max Conc. Tested (e.g. “> 10uM”. This value is determined dynamically for each curve)
- < Min Conc. Tested (This value is determined dynamically for each curve)
- “Cannot be calculated”
- “Do not override” (which restores the automatic calculation)