Pade-Laplace Extrapolated Approximation for Multi-Exponential Decay Kinetics of Molecular Fluorescence
A method to approximate multiexponential fluorescence decay kinetics is described. In contrast to well known Pony’s method it can be used with experimental data of extremely large size. Opposed to the previously described Pade - Laplace methods it approximates the Pade coefficients in a mostly exact way. As a consequence, the exponential parameters will be found if four next conditions will be satisfied: 1) kinetic curve will be consisted of no more than 8 exponents; 2) τa  4h; 4) a noise will be below some critical value. To a pity, this critical noise level depends on the number of exponents N: than more N, then the less noise must be. T is the time domain for which a kinetic curve has been measured; h = T/n; n is the point number, representing kinetic curve; τa = max(τ1, τ2,…, τN); τi = min(τ1, τ2,…, τN); τk (k = 1,2,…,N) is the time constant for the k-th approximating exponent.