Bayesian approach to inverse problem in the case of time-resolved polarized fluorescence investigation of microscopically ordered systems

• Published in: Chemical physics letters 2013-06, Vol.576, p.55-60
• Main Authors: Buczkowski, Marcin, Budziński, Maciej P., Fisz, Jacek J.
• Format: Article
• Language: English
• ISSN: 0009-2614; 1873-4448
• DOI: 10.1016/j.cplett.2013.05.029

[Display omitted] •We model systems isotropic in the macro scale but microscopically ordered.•We examine the chance of detection change in the aligning potential upon excitation.•Synthetic polarized fluorescence decays are generated.•Samples of model parameters and Bayes factors for hypothesis are obtained.•Multi-chain, self-adaptive Monte Carlo method is applied for calculations. In the case of fluorescence investigation of systems, which are isotropic in the macro scale but anisotropic in the micro scale, a Bayesian approach to an inverse problem allows finding distributions of model parameters. Next, this approach provides capacity to ascertain, whether the aligning potential alters during an electronic excitation of the fluorescence probe. The usage of the synthetic data set allows to specify an extent of a priori information necessary to a description of the data. As a numerical basement for Bayesian calculations the Differential Evolution Markov Chain method is employed.