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Bayesian maximum entropy (two-dimensional) lifetime distribution reconstruction from time-resolved spectroscopic data
Victor A Lórenz-Fonfría1, Hideki Kandori
1Department of Materials Science and Engineering, Nagoya Institute of Technology, Showa-ku, Nagoya 466-8555, Japan. victor.lorenz@gmail.com
Bayesian maximum entropy inversion of the Laplace transform (MaxEnt-iLT) reconstructs 2D lifetime distributions from time-resolved spectra. This method objectively determines kinetic parameters without pre-assumptions on decay models.
Area of Science:
- Spectroscopy and Kinetics
- Computational Chemistry
- Biophysics
Background:
- Time-resolved spectroscopy monitors system dynamics after perturbations.
- Spectra contain kinetic information like decay time constants and associated spectra.
- Extracting accurate kinetic models from spectral data is challenging.
Purpose of the Study:
- To introduce and validate the Bayesian maximum entropy inversion of the Laplace transform (MaxEnt-iLT) for analyzing time-resolved spectral data.
- To demonstrate MaxEnt-iLT's ability to reconstruct unrestricted two-dimensional (2D) lifetime distributions.
- To provide a more objective method for kinetic model discrimination.
Main Methods:
- Bayesian maximum entropy inversion of the Laplace transform (MaxEnt-iLT).
- Reconstruction of 2D lifetime distributions.
- Automatic estimation of regularization parameters using L-curve and generalized cross-validation.
- Application to synthetic time-resolved Fourier transform infrared (FT-IR) spectra of the bacteriorhodopsin photocycle.
Main Results:
- MaxEnt-iLT successfully reconstructs 2D lifetime distributions without sign restrictions.
- The method provides a distribution free from pre-conditioned assumptions about the number of exponential decays.
- Automatic regularization parameter estimation leads to unsupervised and objective analysis.
- Accurate kinetic parameters (rate constants, amplitudes) can be derived from the reconstructed distributions.
Conclusions:
- MaxEnt-iLT offers a robust and objective approach for analyzing time-resolved spectral data.
- The method enhances the accuracy and reliability of kinetic parameter extraction.
- MaxEnt-iLT facilitates objective discrimination between competing kinetic models based on data evidence.
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