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Rapid measurement of heteronuclear transverse relaxation rates using non-uniformly sampled R accordion experiments

Wernersson, Sven LU ; Carlström, Göran LU orcid ; Jakobsson, Andreas LU orcid and Akke, Mikael LU orcid (2021) In Magnetic Resonance 2(2). p.571-587
Abstract

Multidimensional, heteronuclear NMR relaxation methods are used extensively to characterize the dynamics of biological macromolecules. Acquisition of relaxation datasets on proteins typically requires significant measurement time, often several days. Accordion spectroscopy offers a powerful means to shorten relaxation rate measurements by encoding the “relaxation dimension” into the indirect evolution period in multidimensional experiments. Time savings can also be achieved by non-uniform sampling (NUS) of multidimensional NMR data, which is used increasingly to improve spectral resolution or increase sensitivity per unit time. However, NUS is not commonly implemented in relaxation experiments, because most reconstruction algorithms are... (More)

Multidimensional, heteronuclear NMR relaxation methods are used extensively to characterize the dynamics of biological macromolecules. Acquisition of relaxation datasets on proteins typically requires significant measurement time, often several days. Accordion spectroscopy offers a powerful means to shorten relaxation rate measurements by encoding the “relaxation dimension” into the indirect evolution period in multidimensional experiments. Time savings can also be achieved by non-uniform sampling (NUS) of multidimensional NMR data, which is used increasingly to improve spectral resolution or increase sensitivity per unit time. However, NUS is not commonly implemented in relaxation experiments, because most reconstruction algorithms are inherently nonlinear, leading to problems when estimating signal intensities, relaxation rate constants and their error bounds. We have previously shown how to avoid these shortcomings by combining accordion spectroscopy with NUS, followed by data reconstruction using sparse exponential mode analysis, thereby achieving a dramatic decrease in the total length of longitudinal relaxation experiments. Here, we present the corresponding transverse relaxation experiment, taking into account the special considerations required for its successful implementation in the framework of the accordion-NUS approach. We attain the highest possible precision in the relaxation rate constants by optimizing the NUS scheme with respect to the Cramér-Rao lower bound of the variance of the estimated parameter, given the total number of sampling points and the spectrum-specific signal characteristics. The resulting accordion-NUS R relaxation experiment achieves comparable precision in the parameter estimates compared to conventional CPMG (Carr-Purcell-Meiboom-Gill) R2 or spin-lock R experiments while saving an order of magnitude in experiment time.

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Magnetic Resonance
volume
2
issue
2
pages
17 pages
publisher
Copernicus GmbH
external identifiers
  • scopus:85130872432
ISSN
2699-0016
DOI
10.5194/mr-2-571-2021
language
English
LU publication?
yes
id
ad438250-cbf3-47b0-b86d-f448182b4e66
date added to LUP
2022-06-28 12:58:58
date last changed
2023-05-10 14:07:30
@article{ad438250-cbf3-47b0-b86d-f448182b4e66,
  abstract     = {{<p>Multidimensional, heteronuclear NMR relaxation methods are used extensively to characterize the dynamics of biological macromolecules. Acquisition of relaxation datasets on proteins typically requires significant measurement time, often several days. Accordion spectroscopy offers a powerful means to shorten relaxation rate measurements by encoding the “relaxation dimension” into the indirect evolution period in multidimensional experiments. Time savings can also be achieved by non-uniform sampling (NUS) of multidimensional NMR data, which is used increasingly to improve spectral resolution or increase sensitivity per unit time. However, NUS is not commonly implemented in relaxation experiments, because most reconstruction algorithms are inherently nonlinear, leading to problems when estimating signal intensities, relaxation rate constants and their error bounds. We have previously shown how to avoid these shortcomings by combining accordion spectroscopy with NUS, followed by data reconstruction using sparse exponential mode analysis, thereby achieving a dramatic decrease in the total length of longitudinal relaxation experiments. Here, we present the corresponding transverse relaxation experiment, taking into account the special considerations required for its successful implementation in the framework of the accordion-NUS approach. We attain the highest possible precision in the relaxation rate constants by optimizing the NUS scheme with respect to the Cramér-Rao lower bound of the variance of the estimated parameter, given the total number of sampling points and the spectrum-specific signal characteristics. The resulting accordion-NUS R<sub>1ρ</sub> relaxation experiment achieves comparable precision in the parameter estimates compared to conventional CPMG (Carr-Purcell-Meiboom-Gill) R<sub>2</sub> or spin-lock R<sub>1ρ</sub> experiments while saving an order of magnitude in experiment time.</p>}},
  author       = {{Wernersson, Sven and Carlström, Göran and Jakobsson, Andreas and Akke, Mikael}},
  issn         = {{2699-0016}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{571--587}},
  publisher    = {{Copernicus GmbH}},
  series       = {{Magnetic Resonance}},
  title        = {{Rapid measurement of heteronuclear transverse relaxation rates using non-uniformly sampled R<sub>1ρ</sub> accordion experiments}},
  url          = {{http://dx.doi.org/10.5194/mr-2-571-2021}},
  doi          = {{10.5194/mr-2-571-2021}},
  volume       = {{2}},
  year         = {{2021}},
}