An equation allowing estimation of the dissociation constant for binding of a non-fluorescent ligand to the enzyme is presented that is based on the competitive replacement of the ligand by its fluorescent analog. We derived an explicit formula for the probe fluorescence intensity, which is suitable for nonlinear least-squares analysis.
We used this formula to evaluate the binding of ATP to the large cytoplasmic loop of Na+,K+-ATPase. The estimated value of K-D (6.2 +/- 0.7 mM) is comparable with the results from other laboratories for similar constructs obtained by a different method.