Calculation of photon counting distribution in fluorescence intensity fluctuations registration systems

  • Viktor V. Skakun Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus
  • Vladimir V. Apanasovich Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

Abstract

The study of the molecular composition of a substance based on the calculation of photon counting distribution is an effective method for analysing experimental data in fluorescence fluctuation spectroscopy. This method is non-invasive and makes it possible to resolve the processes of dimerisation of molecular complexes in living cells, which is in demand in biology, medicine and pharmaceuticals. Obtaining a theoretical photon counting distribution is a complicated task in both algorithmic and computational sense. In this paper, a comparative analysis of the three main methods for calculating photon counting distribution is carried out and an effective method for its calculating is proposed, which guarantees the correct calculation of photon counting distribution over the entire range of variation of the model parameters and the width of the counting time interval. The derivation of all expressions is given for the case of a Gaussian approximation of the brightness profile with correction for out-of-focus emission and normalisation to the first two moments of the profile. Other ways of approximating the brightness profile and normalising the estimated parameters can be made similarly. The proposed technique is implemented in FFS Data Processor software package, which is designed for a global analysis of photocounts in fluorescence fluctuation spectroscopy and allows efficient calculation of photon counting distribution in a wide range of estimated parameters.

Author Biographies

Viktor V. Skakun, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

PhD (physics and mathematics), docent; doctoral student at the department of system analysis and computer simulation, faculty of radiophysics and computer technologies

Vladimir V. Apanasovich, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

doctor of science (physics and mathematics), full professor; professor at the department of system analysis and computer simulation, faculty of radiophysics and computer technologies

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Published
2023-05-23
Keywords: fluorescence fluctuation spectroscopy, photon counting distribution, PCD, FIDA, PCH, generating function of the number of photocounts
How to Cite
Skakun, V. V., & Apanasovich, V. V. (2023). Calculation of photon counting distribution in fluorescence intensity fluctuations registration systems. Journal of the Belarusian State University. Physics, 2, 22-38. Retrieved from https://journals.bsu.by/index.php/physics/article/view/5434
Issue
No 2 (2023): Journal of the Belarusian State University. Physics
Section
Optics and Spectroscopy

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