The DOI matches its Crossref record; 38 of the 38 references it cites were found in a registry or an index.
Ion diffusion modified by tortuosity and volume fraction in the extracellular microenvironment of the rat cerebellum.
Open accessAbstract
1. The validity of the macroscopic laws of ion diffusion was critically examined within the microenvironment of the extracellular space in the rat cerebellum using ion‐selective micropipettes and ionophoretic point sources. 2. The concepts of volume averaging, volume fraction (alpha) and tortuosity (lambda) were defined and shown to be theoretically appropriate for quantifying diffusion in a complex medium such as the brain. 3. Diffusion studies were made with the cations tetramethylammonium and tetraethylammonium and the anions alpha‐naphthalene sulphonate and hexafluoro‐arsenate, all of which remained essentially extracellular during the measurements. Diffusion parameters were measured for a period of 50s and over distances of the order of 0.1 mm. 4. Measurements of the diffusion coefficients of the ions in agar gel gave values that were very close to those derivable from the literature, thus confirming the validity of the method. 5. Measurements in the cerebellum did not reveal any systematic influences of ionophoretic current strength, electrode separation, anisotropy, inhomogeneity, charge discrimination or uptake, within the limits tested. 6. The pooled data from measurements with all the ions gave alpha = 0.21 +/‐ 0.02 (mean +/‐ S.E. of mean) and lambda = 1.55 +/‐ 0.05 (mean +/‐ S.E. of mean). 7. These results show that the extracellular space occupies about 20% of the rat cerebellum and that the diffusion coefficient for small monovalent extracellular ions is reduced by a factor of 2.4 (i.e. lambda 2) without regard to charge sign. The over‐all effect of this is to increase the apparent strength of any ionic source in the cerebellum by a factor of lambda 2/alpha, about 12‐fold in the present case, and to modify the time course of diffusion. 8. These conclusions confirm that the laws of macroscopic diffusion are closely obeyed in the cerebellum for small ions in the extracellular space, provided that volume fraction and tortuosity are explicitly taken into account. It is likely that these conclusions are generally applicable to other brain regions and other diffusing substances.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Electrophysiological properties of in vitro Purkinje cell dendrites in mammalian cerebellar slices.
Llinás, R., & Sugimori, M. (1980) · The Journal of Physiology · doi:10.1113/jphysiol.1980.sp013358 · Cited by 1,753
Cation selective glass electrodes and their mode of operation
Eisenman, G. (1962) · Biophysical Journal · doi:10.1016/s0006-3495(62)86959-8 · Cited by 852
Nicholson, C., & Freeman, J. A. (1975) · Journal of Neurophysiology · doi:10.1152/jn.1975.38.2.356 · Cited by 692
Self-citationExtracellular Potassium in the Mammalian Central Nervous System
Somjen, G. G. (1979) · Annual Review of Physiology · doi:10.1146/annurev.ph.41.030179.001111 · Cited by 448
Anomalous Rectification in the Squid Giant Axon Injected with Tetraethylammonium Chloride
Armstrong, C. M., & Binstock, L. (1965) · The Journal of General Physiology · doi:10.1085/jgp.48.5.859 · Cited by 436
A STUDY OF EXTRACELLULAR SPACE IN CENTRAL NERVOUS TISSUE BY FREEZE-SUBSTITUTION
Van Harreveld, A., Crowell, J., & Malhotra, S. K. (1965) · The Journal of Cell Biology · doi:10.1083/jcb.25.1.117 · Cited by 412
Dietzel, I., Heinemann, U., Hofmeier, G., & Lux, H. D. (1980) · Experimental Brain Research · doi:10.1007/bf00236151 · Cited by 357
The equilibration time course of [K+]0 in cat cortex
Lux, H. D., & Neher, E. (1973) · Experimental Brain Research · doi:10.1007/bf00235028 · Cited by 327
Parallel fibre stimulation and the responses induced thereby in the Purkinje cells of the cerebellum
Eccles, J. C., Llin�s, R., & Sasaki, K. (1966) · Experimental Brain Research · doi:10.1007/bf00235207 · Cited by 302
Brain extracellular space during spreading depression and ischemia
HANSEN, A. J., & OLSEN, C. E. (1980) · Acta Physiologica Scandinavica · doi:10.1111/j.1748-1716.1980.tb06544.x · Cited by 290
Oakley, B., & Green, D. G. (1976) · Journal of Neurophysiology · doi:10.1152/jn.1976.39.5.1117 · Cited by 282
The kinetics of mechanical activation in frog muscle
Adrian, R. H., Chandler, W. K., & Hodgkin, A. L. (1969) · The Journal of Physiology · doi:10.1113/jphysiol.1969.sp008909 · Cited by 228
Measurements of dog blood-brain transfer constants by ventriculocisternal perfusion
Patlak, C., & Fenstermacher, J. (1975) · American Journal of Physiology-Legacy Content · doi:10.1152/ajplegacy.1975.229.4.877 · Cited by 206
Sucrose and inulin space measurements of cerebral cortex in four mammalian species
Levin, V., Fenstermacher, J., & Patlak, C. (1970) · American Journal of Physiology-Legacy Content · doi:10.1152/ajplegacy.1970.219.5.1528 · Cited by 200
Diffusion from an iontophoretic point source in the brain: role of tortuosity and volume fraction
Nicholson, C., Phillips, J. M., & Gardner-Medwin, A. R. (1979) · Brain Research · doi:10.1016/0006-8993(79)90408-6 · Cited by 158
Self-citationDiffusion Measurements in Agar Gel
Schantz, E. J., & Lauffer, M. A. (1962) · Biochemistry · doi:10.1021/bi00910a019 · Cited by 153
Neher, E., & Lux, H. D. (1973) · The Journal of General Physiology · doi:10.1085/jgp.61.3.385 · Cited by 153
THE EXCITATION OF SPINAL NEURONES BY THE IONOPHORETIC APPLICATION OF AGENTS WHICH CHELATE CALCIUM
Curtis, D. R., PERRIN, D. D., & Watkins, J. C. (1960) · Journal of Neurochemistry · doi:10.1111/j.1471-4159.1960.tb13443.x · Cited by 134
Theoretical Analysis of Field Potentials in Anisotropic Ensembles of Neuronal Elements
Nicholson, C. (1973) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1973.324192 · Cited by 128
Self-citationAnion permeability in spreading depression investigated with ion-sensitive microelectrodes
Phillips, J. M., & Nicholson, C. (1979) · Brain Research · doi:10.1016/0006-8993(79)90254-3 · Cited by 125
Self-citationAnalysis of specific impedance of rabbit cerebral cortex
Ranck, J. B. (1963) · Experimental Neurology · doi:10.1016/s0014-4886(63)80006-0 · Cited by 117
Synaptic delay in the heart: an ionophoretic study.
Hill-Smith, I., & Purves, R. D. (1978) · The Journal of Physiology · doi:10.1113/jphysiol.1978.sp012329 · Cited by 103
Extracellular space in the cerebral cortex of the mouse.
Van Harreveld, A., & Malhotra, S. (1967) · PubMed · Cited by 93
Brain extracellular space fixed for electron microscopy
Cragg, B. G. (1979) · Neuroscience Letters · doi:10.1016/0304-3940(79)96130-5 · Cited by 71
Extracellular space of the cerebral cortex of normothermic and hypothermic cats
Fenstermacher, J. D., Li, C., & Levin, V. A. (1970) · Experimental Neurology · doi:10.1016/0014-4886(70)90205-0 · Cited by 70
Krnjević, K., & Morris, M. E. (1974) · Canadian Journal of Physiology and Pharmacology · doi:10.1139/y74-110 · Cited by 65
Characterization of drug iontophoresis with a fast microassay technique
Dionne, V. E. (1976) · Biophysical Journal · doi:10.1016/s0006-3495(76)85723-2 · Cited by 63
Diffusion of acetylcholine in agar gels and in the isolated rat diaphragm
Krnjević, K., & Mitchell, J. F. (1960) · The Journal of Physiology · doi:10.1113/jphysiol.1960.sp006555 · Cited by 63
Calcium diffusion in transient and steady states in muscle
Safford, R. E., & Bassingthwaighte, J. B. (1977) · Biophysical Journal · doi:10.1016/s0006-3495(77)85539-2 · Cited by 56
Kinetics of potassium movement in normal cortex
Fisher, R. S., Pedley, T. A., & Prince, D. A. (1976) · Brain Research · doi:10.1016/0006-8993(76)90265-1 · Cited by 51
Effect of intracellular potassium upon the electrogenic pump of frog retinal pigment epithelium
Oakley, B., Miller, S. S., & Steinberg, R. H. (1978) · The Journal of Membrane Biology · doi:10.1007/bf01944225 · Cited by 46
McLennan, H. (1957) · Biochimica et Biophysica Acta · doi:10.1016/0006-3002(57)90138-5 · Cited by 40
The physics of iontophoretic pipettes
Purves, R. D. (1979) · Journal of Neuroscience Methods · doi:10.1016/0165-0270(79)90014-1 · Cited by 40
[K+]o clearance in cortex: a new analytical model
Vern, B. A., Schuette, W. H., & Thibault, L. E. (1977) · Journal of Neurophysiology · doi:10.1152/jn.1977.40.5.1015 · Cited by 35
The diffusion of potassium, inulin, and thiocyanate in the extracellular spaces of mammalian muscle
McLennan, H. (1956) · Biochimica et Biophysica Acta · doi:10.1016/0006-3002(56)90184-6 · Cited by 33
K42 distribution in brain during simultaneous ventriculocisternal and subarachnoid perfusion
Pape, L. G., & Robert, K. (1972) · Brain Research · doi:10.1016/0006-8993(72)90589-6 · Cited by 27
The mechanism of potassium dispersal in brain tissue [proceedings].
Gardner-Medwin, A. R., Gibson, J. L., & Dj, W. (1979) · PubMed · Cited by 9
Diffusion of anions and cations in the extracellular micro-environment of the brain [proceedings].
Nicholson, C., & Phillips, J. M. (1979) · PubMed · Cited by 5
Self-citation
Cited by
Sleep Drives Metabolite Clearance from the Adult Brain
Xie, L., Kang, H., Xu, Q., Chen, M. J., Liao, Y., Thiyagarajan, M., O’Donnell, J., Christensen, D. J., Nicholson, C., Iliff, J. J., et al. (2013) · Science · doi:10.1126/science.1241224 · Cited by 5,411
Self-citationDiffusion tensor imaging: Concepts and applications
Le Bihan, D., Mangin, J., Poupon, C., Clark, C. A., Pappata, S., Molko, N., & Chabriat, H. (2001) · Journal of Magnetic Resonance Imaging · doi:10.1002/jmri.1076 · Cited by 3,547
Diffusion in Brain Extracellular Space
Syková, E., & Nicholson, C. (2008) · Physiological Reviews · doi:10.1152/physrev.00027.2007 · Cited by 1,481
Self-citationExtracellular space structure revealed by diffusion analysis
Nicholson, C., & Syková, E. (1998) · Trends in Neurosciences · doi:10.1016/s0166-2236(98)01261-2 · Cited by 914
Self-citationGonon, F. G. (1988) · Neuroscience · doi:10.1016/0306-4522(88)90307-7 · Cited by 676
Metadata
- Authors
- Nicholson, C., & Phillips, J. M.
- Venue
- The Journal of Physiology
- Publisher
- Wiley
- Published
- 1981-12
- Volume
- 321
- Issue
- 1
- Pages
- 225-257
- ISSN
- 0022-3751 (ISSN-L)
- 1469-7793
- OpenAlex
- W2114415505
- Cited by
- 785
- References
- 38
- FWCI
- 4.40
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
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.