The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
Theoretical Model for Water Diffusion in Tissues
Abstract
Water diffusion in a tissue model is studied both analytically and numerically. Tissue is regarded as a periodic array of boxes surrounded by partially permeable membranes (cells), embedded in an extracellular medium, intracellular and extracellular diffusion coefficients may differ. Expressions for the apparent diffusion coefficients (ADC) in isotropic and noniso‐tropic tissues are derived and compared with Monte Carlo simulations. Calculated ADCs disagree with values obtained from the widely used “fast exchange” formula. Effects of differences between intracellular and extracellular T2 relaxation times on measured values of ADC and T2 are discussed. The general analysis is specifically applied to the changes occurring in ADC following ischemic insults to brain tissue. It is found that although membranes affect ADC significantly, the observed changes in diffusion cannot be due to reduced membrane permeabilities. They may result from the combined effect of changes in cellular volume fraction, extracellular and intracellular diffusion.
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Park, G. S. (1975) · Polymer · doi:10.1016/0032-3861(75)90130-5 · Cited by 14,967
Principles of Nuclear Magnetic Resonance Microscopy
Callaghan, P. T. (1991) · doi:10.1093/oso/9780198539445.001.0001 · Cited by 3,599
Self-diffusion in normal and heavy water in the range 1-45.deg.
Mills, R. (1973) · The Journal of Physical Chemistry · doi:10.1021/j100624a025 · Cited by 1,706
Moseley, M. E., Cohen, Y., Mintorovitch, J., Chileuitt, L., Shimizu, H., Kucharczyk, J., Wendland, M. F., & Weinstein, P. R. (1990) · Magnetic Resonance in Medicine · doi:10.1002/mrm.1910140218 · Cited by 1,644
Sen, P. N., Scala, C., & Cohen, M. H. (1981) · Geophysics · doi:10.1190/1.1441215 · Cited by 1,070
Fast magnetic resonance diffusion-weighted imaging of acute human stroke
Warach, S., Chien, D., Li, W., Ronthal, M., & Edelman, R. R. (1992) · Neurology · doi:10.1212/wnl.42.9.1717 · Cited by 881
Nicholson, C., & Phillips, J. M. (1981) · The Journal of Physiology · doi:10.1113/jphysiol.1981.sp013981 · Cited by 785
Time-dependent diffusion of water in a biologicalmodel system.
Latour, L. L., Svoboda, K., Mitra, P. P., & Sotak, C. H. (1994) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.91.4.1229 · Cited by 515
Benveniste, H., Hedlund, L. W., & Johnson, G. A. (1992) · Stroke · doi:10.1161/01.str.23.5.746 · Cited by 508
Mintorovitch, J., Moseley, M. E., Chileuitt, L., Shimizu, H., Cohen, Y., & Weinstein, P. R. (1991) · Magnetic Resonance in Medicine · doi:10.1002/mrm.1910180106 · Cited by 507
Cited by
The basis of anisotropic water diffusion in the nervous system—A technical review.
Beaulieu, C. (2002) · NMR in Biomedicine · doi:10.1002/nbm.782 · Cited by 4,628
NODDI: Practical in vivo neurite orientation dispersion and density imaging of the human brain
Zhang, H., Schneider, T., Wheeler-Kingshott, C. A., & Alexander, D. C. (2012) · NeuroImage · doi:10.1016/j.neuroimage.2012.03.072 · Cited by 3,288
Diffusion in Brain Extracellular Space
Syková, E., & Nicholson, C. (2008) · Physiological Reviews · doi:10.1152/physrev.00027.2007 · Cited by 1,481
Diffusion-weighted MR Imaging of the Brain
Schaefer, P. W., Grant, P. E., & Gonzalez, R. G. (2000) · Radiology · doi:10.1148/radiology.217.2.r00nv24331 · Cited by 1,052
Analysis of partial volume effects in diffusion‐tensor MRI
Alexander, A. L., Hasan, K. M., Lazar, M., Tsuruda, J. S., & Parker, D. L. (2001) · Magnetic Resonance in Medicine · doi:10.1002/mrm.1105 · Cited by 695
Metadata
- Authors
- Szafer, A., Zhong, J., & Gore, J. C.
- Venue
- Magnetic Resonance in Medicine
- Publisher
- Wiley
- Published
- 1995-05
- Volume
- 33
- Issue
- 5
- Pages
- 697-712
- ISSN
- 0740-3194 (ISSN-L)
- 1522-2594
- OpenAlex
- W2021939133
- Cited by
- 521
- References
- 31
- FWCI
- 15.62
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.