Abstract
The spin-spin relaxation in connective tissues is simulated using a model in which the tissue is represented by a set of nanocavities containing H2O-D2O liquid. Collagen fibrils in connective tissues form ordered hierarchical long structures of hydrated nano-cavities with characteristic diameter from 1 nm to several tens of nanometers and length of about 100 nm. We consider influence of the restricted Brownian motion of molecules inside a nano-cavity on spin-spin relaxation. The analytical expression for the transverse time T2 for H2O-D2O the liquid in contained a nanocavity was obtained. We show that the angular dependence of the transverse relaxation rate does not depend on the concentration of D2O.
The theoretical results could explain the experimentally observed dependence of the degree of deuteration on the relaxation time T2. Accounting the orientation distribution of the nanocavities well agreement with the experimental dependence of the relaxation for articular cartilage on the deuteration degree was obtained.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Freeman, D.M., Bergman, G., Glover, G.: Short TE MR microscopy: accurate measurement and zonal differentiation of normal hyaline cartilage. Magn. Reson. Med. 37, 72–81 (1997)
Xia, Y., Farquhar, T., Burton-Wurster, N., Lurst, G.: Origin of cartilage laminae in MRI. J. Magn. Reson. Imaging. 7, 887–894 (1997)
Berendsen, H.J.C.: Nuclear magnetic resonance study of collagen hydration. J. Chem. Phys. 36, 3297–3305 (1962)
Migchelson, C., Berendsen, H.J.C.: Proton exchange and molecular orientation of water in hydrated collagen fibers. An NMR study of H2O and D2O. J. Chem. Phys. 59, 296 (1973)
Fullerton, G.D., Cameron, L., Ord, V.A.: Orientation of tendons in the magnetic field and its effect on T2 relaxation times. Radiology. 155, 433–435 (1985)
Peto, S., Gilles, P., Henri, V.P.: Structure and dynamics of water in tendon from NMR relaxation measurements. Biophys. J. 57, 71–84 (1990)
Henkelman, R.M., Stainz, G.J., Kim, J.K., Bronskill, M.J.: Anisotropy of NMR properties of tissues. Magn. Reson. Med. 32, 592–601 (1994)
Tadimalla, S., Momot, K.I.: Effect of Partial H2O-D2O Replacement on the Anisotropy of Transverse Proton Spin Relaxation in Bovine Articular Cartilage. PLoS One. 9, e115288 (2014)
Eliav, U., Navon, G.: A study of dipolar interactions and dynamic processes of water molecules in tendon by 1H and 2H Homonuclear and heteronuclear multiple-quantum-filtered NMR spectroscopy. J. Magn. Reson. 137, 295–310 (1999)
Callaghan, P.T.: Principles of Nuclear Magnetic Resonance Microscopy. Oxford Clarendon Press (1991)
Xia, Y., Momot, K.: Biophysics and Biochemistry of Cartilage by NMR and MRI. The Royal Society of Chemistry, Cambridge UK (2016)
Abragam, A.: The Principles of Nuclear Magnetism. Oxford Clarendon Press (1961)
Baugh, J., Kleinhammes, A., Han, D., Wang, Q., Wu, Y.: Confinement effect on dipole-dipole interactions in nanofluids. Science. 294, 1505–1507 (2001)
Fel'dman, E.B., Rudavets, M.G.: Nonergodic nuclear depolarization in nano-cavities. J. Exp. Theor. Phys. 98, 207–219 (2004)
Fel'dman, E.B., Furman, G.B., Goren, S.D.: Spin locking and spin–lattice relaxation in a liquid entrapped in nanosized cavities. Soft Matter. 8, 9200 (2012)
Furman, G.B., Goren, S.D., Meerovich, V.M., Sokolovsky, V.L.: Anisotropy of spin–spin and spin–lattice relaxation times in liquids entrapped in nanocavities: application to MRI study of biological systems. J. Magn. Reson. 263, 71–78 (2016)
Furman, G.B., Goren, S.D., Meerovich, V.M., Sokolovsky, V.L.: Correlation of transverse relaxation time with structure of biological tissue. J. Magn. Reson. 270, 7–11 (2016)
Furman, G.B., Goren, S.D., Meerovich, V.M., Sokolovsky, V.L.: Multiple-pulse spin locking in nanofluids. RSC Adv. 5, 44247–44257 (2015)
Furman, G.B., Goren, S.D., Meerovich, V.M., Sokolovsky, V.L.: Nuclear spin–lattice relaxation in nanofluids with paramagnetic impurities. J. Magn. Reson. 261, 175–180 (2015)
Furman, G.B., Goren, S.D., Meerovich, V.M., Sokolovsky, V.L.: Dipole-dipole interactions in liquids entrapped in confined space. J. Mol. Liq. 272, 468–473 (2018)
Furman, G., Meerovich, V., Sokolovsky, V., Xia, Y.: Spin locking in liquid entrapped in nanocavities: application to study connective tissues. J. Magn. Reson. 299, 66–73 (2019)
Furman, G., Kozyrev, A., Meerovich, V., Sokolovsky, V., Xia, Y.: Dynamics of Zeeman and dipolar states in the spin locking in a liquid entrapped in nano-cavities: application to study of biological systems. J. Magn. Reson. 325, 106933 (2021)
Acknowledgments
This research was supported by a grant from the United States - Israel Binational Science Foundation (BSF), Jerusalem, Israel (No. 2019033), and by a grant from the National Institutes of Health in the United States (AR 069047). The authors are grateful to Dr. K. I. Momot for helpful discussions.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
All authors declare that they have no conflict of interest.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
This article is part of the Topical Collection on Proceedings of the International Conference on Hyperfine Interactions (HYPERFINE 2021), Brasov, Romania, 5-10 September 2021
Edited by Ovidiu Crisan
Rights and permissions
About this article
Cite this article
Furman, G., Meerovich, V., Petrov, D. et al. Anisotropy of transverse spin relaxation in H2O-D2O liquid entrapped in Nanocavities: application to studies of connective tissues. Hyperfine Interact 242, 19 (2021). https://doi.org/10.1007/s10751-021-01731-9
Accepted:
Published:
DOI: https://doi.org/10.1007/s10751-021-01731-9