White matter intercompartmental water exchange rates determined from detailed modeling of the myelin sheath
Corresponding Author
Peter van Gelderen
Advanced MRI Section, Laboratory of Functional and Molecular Imaging, National Institute of Neurological, Disorders and Stroke, National Institutes of Health, Bethesda, Maryland
correspondence
Peter van Gelderen, NIH, Bld 10, Rm B1D724, 10 Center Drive MSC 1066, Bethesda MD 20892.
Email: [email protected]
Search for more papers by this authorJeff H Duyn
Advanced MRI Section, Laboratory of Functional and Molecular Imaging, National Institute of Neurological, Disorders and Stroke, National Institutes of Health, Bethesda, Maryland
Search for more papers by this authorCorresponding Author
Peter van Gelderen
Advanced MRI Section, Laboratory of Functional and Molecular Imaging, National Institute of Neurological, Disorders and Stroke, National Institutes of Health, Bethesda, Maryland
correspondence
Peter van Gelderen, NIH, Bld 10, Rm B1D724, 10 Center Drive MSC 1066, Bethesda MD 20892.
Email: [email protected]
Search for more papers by this authorJeff H Duyn
Advanced MRI Section, Laboratory of Functional and Molecular Imaging, National Institute of Neurological, Disorders and Stroke, National Institutes of Health, Bethesda, Maryland
Search for more papers by this authorAbstract
Purpose: Magnetization exchange (ME) between hydrogen protons of water and large molecules (semisolids [SS]) in lipid bilayers is an important factor in MRI signal generation and can be exploited to study white matter pathology. Current models used to quantify ME in white matter generally consider water to reside in 1 or 2 distinct compartments, ignoring the complexities of the myelin sheath’s multicompartment structure of alternating myelin SS and myelin water (MW) layers. Here, we investigated the effect of this by fitting ME data obtained from human brain at 7 T with a multilayer model of myelin.
Methods: A multi-echo acquisition for a T2*-based separation of MW from other water signals was combined with various preparation pulses to change the (relative) state of the SS and water pools and analyzed by fitting with a multilayer exchange model.
Results: The estimated lifetime within a single MW layer was 260 µs, corresponding to a lipid bilayer permeability of 6.7 µm/s. The magnetization lifetime of the aggregate of all MW was estimated at 13 ms, shorter than previously reported values in the range of 40 to 140 ms.
Conclusion: Contrary to expectations and previous reports, ME between protons in myelin SS and water is not limited by the myelin sheath but rather by the exchange between SS and water protons. The analysis of ME contrast should account for the relatively short MW lifetime and affects the interpretation of tissue compartmentalization from MRI contrasts such as T1- and diffusion-weighting.
Supporting Information
Filename | Description |
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mrm27398-sup-0001-Supinfo.docxapplication/docx, 2 MB | Supinfo DOCUMENT S1. Additional theory, results and error analysis. FIGURE S1. Example of MGRE three-compartment fitting, showing the real part of the complex data and fit. Legend: * = MGRE data from the corpus callosum divided by the CSF signal, brown= myelin water (MW), orange= axonal water, yellow= interstitial water, red= sum of axonal and interstitial water, forming the OW as used in the ML3 model, black= MW+OW= total water, + = residue plotted at 100x the scale (right hand axis). FIGURE S2. The Mz of the individual compartments in the ML3 model fitted to the MGRE data, immediately before the excitation. The different colors correspond to the five delay times, indicated in the lower row of plots. The horizontal axis is the index for the compartments. There are 15 SS compartments (0..14), plotted in the top row. There are 14 MW compartments (0..13), plus one OW compartment plotted as index 14 in the bottom row. FIGURE S3. Simulation of the evolution of MMWz,iover time (for i=1..N), for a starting condition of Mz,iMW=1 and Mz,iSS=MzOW=0 (for all i), and a hypothetical case without relaxation. For each value of N, the ML3 was fitted to the data and the resulting parameters used in the respective simulations. The colors correspond to the individual MW compartments . Averages of these curves shown in the bottom right plot. The decay time of these curves is what is calculated as the TMW. TABLE S1. Fitting results and calculated compartment lifetimes (τ) and pool (averaged) decay times (T), for five models used in this study, see text for details. |
Please note: The publisher is not responsible for the content or functionality of any supporting information supplied by the authors. Any queries (other than missing content) should be directed to the corresponding author for the article.
REFERENCES
- 1Koenig SH, Brown RD 3rd, Spiller M, Lundbom N. Relaxometry of brain: why white matter appears bright in MRI. Magn Reson Med. 1990; 14: 482–495.
- 2Forsen S, Hoffman RA. Study of moderately rapid chemical exchange reactions by means of nuclear magnetic double resonance. J Chem Phys. 1963; 39: 2892–2901.
- 3Edzes HT, Samulski ET. Cross relaxation and spin diffusion in the proton NMR or hydrated collagen. Nature. 1977; 265: 521–523.
- 4Kalantari S, Laule C, Bjarnason TA, Vavasour IM, MacKay AL. Insight into in vivo magnetization exchange in human white matter regions. Magn Reson Med. 2011; 66: 1142–1151.
- 5Stanisz GJ, Kecojevic A, Bronskill MJ, Henkelman RM. Characterizing white matter with magnetization transfer and T(2). Magn Reson Med. 1999; 42: 1128–1136.
10.1002/(SICI)1522-2594(199912)42:6<1128::AID-MRM18>3.0.CO;2-9 CAS PubMed Web of Science® Google Scholar
- 6Dortch RD, Moore J, Li K, et al. Quantitative magnetization transfer imaging of human brain at 7 T. Neuroimage. 2013; 64: 640–649.
- 7Bjarnason TA, Vavasour IM, Chia CL, MacKay AL. Characterization of the NMR behavior of white matter in bovine brain. Magn Reson Med. 2005; 54: 1072–1081.
- 8van Gelderen P, Jiang X, Duyn JH. Rapid measurement of brain macromolecular proton fraction with transient saturation transfer MRI. Magn Reson Med. 2017; 77: 2174–2185.
- 9Sati P, van Gelderen P, Silva AC, et al. Micro-compartment specific T2* relaxation in the brain. Neuroimage. 2013; 77: 268–278.
- 10Wharton S, Bowtell R. Fiber orientation-dependent white matter contrast in gradient echo MRI. Proc Natl Acad Sci U S A. 2012; 109: 18559–18564.
- 11Gochberg DF, Kennan RP, Gore JC. Quantitative studies of magnetization transfer by selective excitation and T1 recovery. Magn Reson Med. 1997; 38: 224–231.
- 12Dortch RD, Harkins KD, Juttukonda MR, Gore JC, Does MD. Characterizing inter-compartmental water exchange in myelinated tissue using relaxation exchange spectroscopy. Magn Reson Med. 2013; 70: 1450–1459.
- 13Li X, van Gelderen P, Sati P, de Zwart JA, Reich DS, Duyn JH. Detection of demyelination in multiple sclerosis by analysis of T2* relaxation at 7 T. Neuroimage Clin. 2015; 7: 709–714.
- 14Oh SH, Bilello M, Schindler M, Markowitz CE, Detre JA, Lee J. Direct visualization of short transverse relaxation time component (ViSTa). Neuroimage. 2013; 83: 485–492.
- 15Tannus A, Garwood M. Adiabatic pulses. NMR Biomed. 1997; 10: 423–434.
10.1002/(SICI)1099-1492(199712)10:8<423::AID-NBM488>3.0.CO;2-X CAS PubMed Web of Science® Google Scholar
- 16Ordidge RJ, Gibbs P, Chapman B, Stehling MK, Mansfield P. High-speed multislice T1 mapping using inversion-recovery echo-planar imaging. Magn Reson Med. 1990; 16: 238–245.
- 17Jiang X, van Gelderen P, Duyn JH. Spectral characteristics of semisolid protons in human brain white matter at 7 T. Magn Reson Med. 2017; 78: 1950–1958.
- 18Aboitiz F, Scheibel AB, Fisher RS, Zaidel E. Fiber composition of the human corpus callosum. Brain Res. 1992; 598: 143–153.
- 19Tomasch J. Size, distribution, and number of fibres in the human corpus callosum. Anat Rec. 1954; 119: 119–135.
- 20Stikov N, Campbell JS, Stroh T, et al. Quantitative analysis of the myelin g-ratio from electron microscopy images of the macaque corpus callosum. Data Brief. 2015; 4: 368–373.
- 21Kirschner DA, Caspar DL. Comparative diffraction studies on myelin membranes. Ann N Y Acad Sci. 1972; 195: 309–320.
- 22Worthington CR. Structural parameters of nerve myelin. Proc Natl Acad Sci U S A. 1969; 63: 604–611.
- 23Franks NP, Melchior V, Kirshner DA, Caspar DL. Structure of myelin lipid bilayers. Changes during maturation. J Mol Biol. 1982; 155: 133–153.
- 24Laursen RA, Samiullah M, Lees MB. The structure of bovine brain myelin proteolipid and its organization in myelin. Proc Natl Acad Sci U S A. 1984; 81: 2912–2916.
- 25Vandenheuvel FA. Structural studies of biological membranes: the structure of myelin. Ann N Y Acad Sci. 1965; 122: 57–76.
- 26Harkins KD, Xu J, Dula AN, et al. The microstructural correlates of T1 in white matter. Magn Reson Med. 2016; 75: 1341–1345.
- 27van Gelderen P, Jiang X, Duyn JH. Effects of magnetization transfer on T1 contrast in human brain white matter. Neuroimage. 2016; 128: 85–95.
- 28Korb JP, Bryant RG. The physical basis for the magnetic field dependence of proton spin-lattice relaxation rates in proteins. J Chem Phys. 2001; 115: 10964–10974.
- 29Conlon T, Outhred R. The temperature dependence of erythrocyte water diffusion permeability. Biochim Biophys Acta. 1978; 511: 408–418.
- 30Cass A, Finkelstein A. Water permeability of thin lipid membranes. J Gen Physiol. 1967; 50: 1765–1784.
- 31Finkelstein A. Water and nonelectrolyte permeability of lipid bilayer membranes. J Gen Physiol. 1976; 68: 127–135.
- 32Franks NP, Lieb WR. Rapid movement of molecules across membranes. Measurement of the permeability coefficient of water using neutron diffraction. J Mol Biol. 1980; 141: 43–61.
- 33Finkelstein A, Cass A. Effect of cholesterol on the water permeability of thin lipid membranes. Nature. 1967; 216: 717–718.
- 34Harkins KD, Dula AN, Does MD. Effect of intercompartmental water exchange on the apparent myelin water fraction in multiexponential T2 measurements of rat spinal cord. Magn Reson Med. 2012; 67: 793–800.
- 35Yarnykh VL, Yuan C. Cross-relaxation imaging reveals detailed anatomy of white matter fiber tracts in the human brain. Neuroimage. 2004; 23: 409–424.
- 36Sled JG, Pike GB. Quantitative imaging of magnetization transfer exchange and relaxation properties in vivo using MRI. Magn Reson Med. 2001; 46: 923–931.
- 37Levesque IR, Sled JG, Narayanan S, et al. Reproducibility of quantitative magnetization-transfer imaging parameters from repeated measurements. Magn Reson Med. 2010; 64: 391–400.
- 38Dula AN, Gochberg DF, Valentine HL, Valentine WM, Does MD. Multiexponential T2, magnetization transfer, and quantitative histology in white matter tracts of rat spinal cord. Magn Reson Med. 2010; 63: 902–909.
- 39Barta R, Kalantari S, Laule C, Vavasour IM, MacKay AL, Michal CA. Modeling T1 and T2 relaxation in bovine white matter. J Magn Reson. 2015; 259: 56–67.
- 40Seiter CHA, Chan SI. Molecular motion in lipid bilayers: nuclear magnetic-resonance line-width study. J Am Chem Soc. 1973; 95: 7541–7553.
- 41Huster D, Feller SE, Gawrisch K. Noesy NMR crosspeaks between lipid headgroups and hydrocarbon chains - Spin diffusion or molecular disorder? Biophys J. 1999; 76: A354–A354.
- 42Ellena JF, Hutton WC, Cafiso DS. Elucidation of cross-relaxation pathways in phospholipid vesicles utilizing two-dimensional 1H NMR spectroscopy. J Am Chem Soc. 1985; 107: 1530–1537.
- 43Huster D, Yao XL, Hong M. Membrane protein topology probed by H-1 spin diffusion from lipids using solid-state NMR spectroscopy. J Am Chem Soc. 2002; 124: 874–883.
- 44Kumashiro KK, Schmidt-Rohr K, Murphy OJ, Ouellette KL, Cramer WA, Thompson LK. A novel tool for probing membrane protein structure: solid-state NMR with proton spin diffusion and X-nucleus detection. J Am Chem Soc. 1998; 120: 5043–5051.
- 45Fatouros PP, Marmarou A. Use of magnetic resonance imaging for in vivo measurements of water content in human brain: method and normal values. J Neurosurg. 1999; 90: 109–115.
- 46Nilsson M, van Westen D, Stahlberg F, Sundgren PC, Latt J. The role of tissue microstructure and water exchange in biophysical modelling of diffusion in white matter. Magn Reson Mater Phy. 2013; 26: 345–370.
- 47Harkins KD, Does MD. Simulations on the influence of myelin water in diffusion-weighted imaging. Phys Med Biol. 2016; 61: 4729–4745.