Analysis of fluorescence anisotropy decays by a least square method

A method of fluorescence anisotropy decay analysis is described in this work. The transient anisotropy r(ex)(t) measured in a photocounting pulsefluorimeter is fitted by a non linear least square procedure to the ratio of convolutions of the apparatus response function g(t) by sums of appropriate exponential functions. This method takes rigorously into account the apparatus response function and is applicable to any shape of the later as well as to any values of fluorescence decay times and correlation times. The performances of the method have been tested with data simulated from measured response functions corresponding to an air lamp and a high pressure nitrogen lamp. The statistical standard errors of the anisotropy deca parameters have been found to be smaller than the standard errors previously calculated for the moment method. A systematic error delta in the fluorescence decay time entailed an error deltatheta in the correlation time such as Deltatheta/theta < deltatau/tau. By this method, good fitting of experimental data have been achieved very conveniently and accurately.