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Wiechers H, Kehl A, Hiller M, Eltzner B, Huckemann SF, Meyer A, Tkach I, Bennati M, Pokern Y. Bayesian optimization to estimate hyperfine couplings from 19F ENDOR spectra. JOURNAL OF MAGNETIC RESONANCE (SAN DIEGO, CALIF. : 1997) 2023; 353:107491. [PMID: 37301045 DOI: 10.1016/j.jmr.2023.107491] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/14/2023] [Revised: 05/19/2023] [Accepted: 05/24/2023] [Indexed: 06/12/2023]
Abstract
ENDOR spectroscopy is a fundamental method to detect nuclear spins in the vicinity of paramagnetic centers and their mutual hyperfine interaction. Recently, site-selective introduction of 19F as nuclear labels has been proposed as a tool for ENDOR-based distance determination in biomolecules, complementing pulsed dipolar spectroscopy in the range of angstrom to nanometer. Nevertheless, one main challenge of ENDOR still consists of its spectral analysis, which is aggravated by a large parameter space and broad resonances from hyperfine interactions. Additionally, at high EPR frequencies and fields (⩾94 GHz/3.4 Tesla), chemical shift anisotropy might contribute to broadening and asymmetry in the spectra. Here, we use two nitroxide-fluorine model systems to examine a statistical approach to finding the best parameter fit to experimental 263 GHz 19F ENDOR spectra. We propose Bayesian optimization for a rapid, global parameter search with little prior knowledge, followed by a refinement by more standard gradient-based fitting procedures. Indeed, the latter suffer from finding local rather than global minima of a suitably defined loss function. Using a new and accelerated simulation procedure, results for the semi-rigid nitroxide-fluorine two and three spin systems lead to physically reasonable solutions, if minima of similar loss can be distinguished by DFT predictions. The approach also delivers the stochastic error of the obtained parameter estimates. Future developments and perspectives are discussed.
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Affiliation(s)
- H Wiechers
- Felix-Bernstein-Institute for Mathematical Statistics in the Biosciences, Georgia-Augusta-University, Goldschmidtstr. 7, D-37077 Göttingen, Germany
| | - A Kehl
- Research Group EPR Spectroscopy, Max Planck Institute for Multidisciplinary Sciences, Am Fassberg 11, D-37077 Göttingen, Germany
| | - M Hiller
- Research Group EPR Spectroscopy, Max Planck Institute for Multidisciplinary Sciences, Am Fassberg 11, D-37077 Göttingen, Germany
| | - B Eltzner
- Research Group Computational Biomolecular Dynamics, Max Planck Institute for Multidisciplinary Sciences, Am Fassberg 11, D-37077 Göttingen, Germany
| | - S F Huckemann
- Felix-Bernstein-Institute for Mathematical Statistics in the Biosciences, Georgia-Augusta-University, Goldschmidtstr. 7, D-37077 Göttingen, Germany
| | - A Meyer
- Research Group EPR Spectroscopy, Max Planck Institute for Multidisciplinary Sciences, Am Fassberg 11, D-37077 Göttingen, Germany; Institute of Physical Chemistry, Georgia-Augusta-University, Tammanstr. 6, D-37077 Göttingen, Germany
| | - I Tkach
- Research Group EPR Spectroscopy, Max Planck Institute for Multidisciplinary Sciences, Am Fassberg 11, D-37077 Göttingen, Germany
| | - M Bennati
- Research Group EPR Spectroscopy, Max Planck Institute for Multidisciplinary Sciences, Am Fassberg 11, D-37077 Göttingen, Germany; Institute of Physical Chemistry, Georgia-Augusta-University, Tammanstr. 6, D-37077 Göttingen, Germany.
| | - Y Pokern
- Department of Statistical Science, University College London, WC1E 6BT, United Kingdom.
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Pompe N, Illarionov B, Fischer M, Bacher A, Weber S. Completing the Picture: Determination of 13C Hyperfine Coupling Constants of Flavin Semiquinone Radicals by Photochemically Induced Dynamic Nuclear Polarization Spectroscopy. J Phys Chem Lett 2022; 13:5160-5167. [PMID: 35658481 DOI: 10.1021/acs.jpclett.2c00919] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/15/2023]
Abstract
We investigate the electronic structure of flavin semiquinone radicals in terms of their 13C hyperfine coupling constants. Photochemically induced dynamic nuclear polarization (photo-CIDNP) spectroscopy was used to study both the neutral and anionic radical species of flavin mononucleotide (FMN) in bulk aqueous solution. Apart from universally 13C-labeled FMN, partially labeled isotopologues are used to increase sensitivity for nuclei exhibiting very small hyperfine couplings and to cope with spectral overlap. In addition, experimental findings are supported by quantum chemical calculations, and implications for the spin density distribution in free flavin radicals are discussed.
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Affiliation(s)
- Nils Pompe
- Institute of Physical Chemistry, University of Freiburg, 79104 Freiburg im Breisgau, Germany
| | - Boris Illarionov
- Hamburg School of Food Science, University of Hamburg, 20146 Hamburg, Germany
| | - Markus Fischer
- Hamburg School of Food Science, University of Hamburg, 20146 Hamburg, Germany
| | - Adelbert Bacher
- Department of Chemistry, Technical University of Munich, 85748 Garching, Germany
| | - Stefan Weber
- Institute of Physical Chemistry, University of Freiburg, 79104 Freiburg im Breisgau, Germany
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