Theory of fast field-cycling NMR relaxometry of liquid systems undergoing chemical exchange

Pascal H. Fries* (Corresponding Author), Elie Belorizky

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

The time evolution of the nuclear magnetisation of chemically exchanging systems in liquids is calculated for the pre-polarised fast field-cycling sequence of nuclear magnetic resonance (NMR) relaxometry. The obtained parameter expressions of the magnetisation allow one to derive the longitudinal relaxation rates and the residence times of the exchanging sites from the experiment. In the particular cases of slow and fast exchange, approximations leading to simple analytic expressions are derived. The theory takes account of the delay time necessary to ensure that the field for acquiring the signal is stable enough after its rapid jump from its relaxation value. The domains of mono-exponential or bi-exponential relaxation of the magnetisation are displayed in a concise way through 3D and 2D logarithmic plots of the population ratio of the exchanging sites and of their intrinsic relaxation times. The influence of the acquisition delay on the fitted values of the populations, residence times, and intrinsic relaxation times of the sites is emphasised in the case of the bi-exponential water proton relaxation observed in a tumour tissue.

Original languageEnglish
Pages (from-to)849-860
Number of pages12
JournalMolecular Physics
Volume117
Issue number7-8
Early online date15 Nov 2018
DOIs
Publication statusPublished - 2019

Fingerprint

exchanging
Magnetization
Magnetic Resonance Spectroscopy
Nuclear magnetic resonance
Relaxation time
nuclear magnetic resonance
cycles
Liquids
liquids
magnetization
relaxation time
Protons
Tumors
Time delay
Tissue
acquisition
time lag
tumors
Water
plots

Keywords

  • chemical exchange
  • fast field-cycling
  • Magnetic resonance imaging
  • NMR relaxometry
  • TIMES

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Molecular Biology
  • Biophysics
  • Physical and Theoretical Chemistry

Cite this

Theory of fast field-cycling NMR relaxometry of liquid systems undergoing chemical exchange. / Fries, Pascal H. (Corresponding Author); Belorizky, Elie.

In: Molecular Physics, Vol. 117, No. 7-8, 2019, p. 849-860.

Research output: Contribution to journalArticle

Fries, Pascal H. ; Belorizky, Elie. / Theory of fast field-cycling NMR relaxometry of liquid systems undergoing chemical exchange. In: Molecular Physics. 2019 ; Vol. 117, No. 7-8. pp. 849-860.
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