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Table of contents
Intro to regression
Nonlinear regression
Curve fitting with Prism
Interpreting the results
Comparing two curves
Distributions of best-fit values
Radioligand binding
Saturation binding


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Introduction
Nonspecific binding
Fitting specific binding
Fitting  total binding
Analysis checklist
Scatchard plots
Ligand depletion
Competitive binding
Kinetics of binding
Dose-response curves
Enzyme kinetics
Standard curves
More information
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In April 2003, GraphPad released Prism 4 and published Fitting Models to Biological Data using Linear and Nonlinear Regression. This book includes all the information that comprises curvefit.com, and much more. You can read this book as a pdf file.

Fitting specific binding data to determine Bmax and Kd

To fit a binding curve:

1. Start from a table where X is the concentration of ligand in nM or pM and Y is specific binding. This can either be the original data table or a results table.

2. Click Analyze.

3. From the curves and regression choices, choose Nonlinear regression.

4. On the nonlinear regression dialog, choose One site binding. Leave everything else at the default settings. The one-site equation is

MathType Equation

5. Press ok. You'll see the table of results. Bmax is expressed in the same units as the Y values (commonly cpm, sites/cell or fmol/mg). Kd is expressed in the same units as the X values, usually nM or pM. If the Kd is low, the affinity is high.

To get useful results with this approach, you will need high quality data and at least ten data points including some well above the ligand Kd.   

Determining Kd and Bmax for two classes of binding sites

If the radioligand binds to two classes of binding sites, fit the specific binding data to the two-site binding equation (found in Prism's list of built-in equations). This equation simply sums the binding to two sites, each with its own Bmax and Kd .

MathType Equation

This equation assumes that the radioligand binds to two independent noninteracting binding sites, and that the binding to each site follows the law of mass action. To compare the one-site and two-site fits, see Comparing the fits of two models

You will only get meaningful results from a two-site fit if you have ten or more (preferably a lot more) data points spaced over a wide range of radioligand concentrations. Be sure that you measure binding at radioligand concentrations below the high-affinity Kd and above the low affinity Kd.


Fitting  total binding data to determine Bmax and Kd


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