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On the Sum of Exponentials that Form Molecular Fluorescence Decay Kinetics

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Abstract

The least squares method is commonly used to find the parameters and sum of exponentials that form molecular fluorescence decay kinetics. However, the method usually fails to lead to a global minimum of approximation, and more reliable methods are therefore necessary for finding the sum N of exponentials that form the fluorescence decay kinetics. If the sum of the exponentials is not greater than 8 and the signal-to-noise ratio is higher than a critical ratio, which depends on N, then it is possible to calculate the sum of exponentials that form fluorescence decay kinetics. A direct, noniterative method was developed to solve the problem.

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Authors and Affiliations

  1. Institute of Basic Biological Problems, Russian Academy of Sciences, 142290, Pushchino, Moscow oblast, Russia

    A. V. Klevanik

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  1. A. V. Klevanik
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Correspondence to A. V. Klevanik.

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Translated by T. Tkacheva

Abbreviations: rank, matrix rank; A \( \in \) ℜn×m, matrix A belongs to a set of n × m real matrices; QR, orthogonal–triangular decomposition; SNR, signal-to-noise ratio (dB).

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Klevanik, A.V. On the Sum of Exponentials that Form Molecular Fluorescence Decay Kinetics. BIOPHYSICS 63, 909–914 (2018). https://doi.org/10.1134/S0006350918060167

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