Diffusion in brain extracellular space

. 2008 Oct ; 88 (4) : 1277-340.

Jazyk angličtina Země Spojené státy americké Médium print

Typ dokumentu časopisecké články, Research Support, N.I.H., Extramural, práce podpořená grantem, přehledy

Perzistentní odkaz   https://www.medvik.cz/link/pmid18923183

Grantová podpora
R01 NS028642 NINDS NIH HHS - United States
R01 NS028642-18 NINDS NIH HHS - United States
R01-NS-28642 NINDS NIH HHS - United States

Diffusion in the extracellular space (ECS) of the brain is constrained by the volume fraction and the tortuosity and a modified diffusion equation represents the transport behavior of many molecules in the brain. Deviations from the equation reveal loss of molecules across the blood-brain barrier, through cellular uptake, binding, or other mechanisms. Early diffusion measurements used radiolabeled sucrose and other tracers. Presently, the real-time iontophoresis (RTI) method is employed for small ions and the integrative optical imaging (IOI) method for fluorescent macromolecules, including dextrans or proteins. Theoretical models and simulations of the ECS have explored the influence of ECS geometry, effects of dead-space microdomains, extracellular matrix, and interaction of macromolecules with ECS channels. Extensive experimental studies with the RTI method employing the cation tetramethylammonium (TMA) in normal brain tissue show that the volume fraction of the ECS typically is approximately 20% and the tortuosity is approximately 1.6 (i.e., free diffusion coefficient of TMA is reduced by 2.6), although there are regional variations. These parameters change during development and aging. Diffusion properties have been characterized in several interventions, including brain stimulation, osmotic challenge, and knockout of extracellular matrix components. Measurements have also been made during ischemia, in models of Alzheimer's and Parkinson's diseases, and in human gliomas. Overall, these studies improve our conception of ECS structure and the roles of glia and extracellular matrix in modulating the ECS microenvironment. Knowledge of ECS diffusion properties is valuable in contexts ranging from understanding extrasynaptic volume transmission to the development of paradigms for drug delivery to the brain.

Zobrazit více v PubMed

Abbott NJ. Evidence for bulk flow of brain interstitial fluid: significance for physiology and pathology. Neurochem Int. 2004;45:545–552. PubMed

Abbott NJ, Ronnback L, Hansson E. Astrocyte-endothelial interactions at the blood-brain barrier. Nat Rev Neurosci. 2006;7:41–53. PubMed

Adrian RH, Chandler WK, Hodgkin AL. The kinetics of mechanical activation in frog muscle. J. Physiol. 1969;204:207–230. PubMed PMC

Agnati LF, Fuxe K, Nicholson C, Syková E. Volume Transmission Revisited. Elsevier; Amsterdam: 2000.

Agnati LF, Leo G, Zanardi A, Genedani S, Rivera A, Fuxe K, Guidolin D. Volume transmission and wiring transmission from cellular to molecular networks: history and perspectives. Acta Physiol (Oxf) 2006;187:329–344. PubMed

Aitken PG, Fayuk D, Somjen GG, Turner DA. Use of intrinsic optical signals to monitor physiological changes in brain tissue slices. Methods A Companion to Methods in Enzymology. 1999;18:91–103. PubMed

Amberg G, Lindefors N. Intracerebral microdialysis .2. mathematical studies of diffusion kinetics. J Pharmacol Meth. 1989;22:157–183. PubMed

Amedee T, Robert A, Coles JA. Potassium homeostasis and glial energy metabolism. Glia. 1997;21:46–55. PubMed

Amiry-Moghaddam M, Ottersen OP. The molecular basis of water transport in the brain. Nat Rev Neurosci. 2003;4:991–1001. PubMed

Ammann D. Ion-Selective Microelectrodes. Springer; Berlin: 1986.

Anděrová M, Kubinová S, Mazel T, Chvátal A, Eliasson C, Pekny M, Syková E. Effect of elevated K+, hypotonic stress, and cortical spreading depression on astrocyte swelling in GFAP-deficient mice. Glia. 2001;35:189–203. PubMed

Andrew RD. Seizure and acute osmotic change: clinical and neurophysiological aspects. J Neurol Sci. 1991;101:7–18. PubMed

Andrew RD, Jarvis CR, Obeidat AS. Potential sources of intrinsic optical signals imaged in live brain slices. Methods A Companion to Methods in Enzymology. 1999;18:185–196. PubMed

Andrew RD, MacVicar BA. Imaging cell volume changes and neuronal excitation in the hippocampal slice. Neurosci. 1994;62:371–383. PubMed

Araque A, Parpura V, Sanzgiri RP, Haydon PG. Tripartite synapses: glia, the unacknowledged partner. Trends Neurosci. 1999;22:208–215. PubMed

Archie GE. The electrical resistivity log as an aid in determining some reservoir characteristics. Trans Am Inst Mining, Metallurgical Petroleum Engineers, Inc. 1942;146:54–62.

Arcuino G, Lin JH, Takano T, Liu C, Jiang L, Gao Q, Kang J, Nedergaard M. Intercellular calcium signaling mediated by point-source burst release of ATP. Proc Natl Acad Sci USA. 2002;99:9840–9845. PubMed PMC

Artru AA. Spinal cerebrospinal fluid chemistry and physiology. In: Yaksh TL, editor. Spinal Drug Delivery. Elsevier; Amsterdam: 1999. pp. 177–237.

Astion ML, Coles JA, Orkand RK, Abbott NJ. K+ accumulation in the space between giant axon and Schwann cell in the squid Alloteuthis. Effects of changes in osmolarity. Biophys J. 1988;53:281–285. PubMed PMC

Asztely F, Erdemli G, Kullmann DM. Extrasynaptic glutamate spillover in the hippocampus: Dependence on temperature and the role of active glutamate uptake. Neuron. 1997;18:281–293. PubMed

Axelrod D, Köppel DE, Schlessinger J, Elson E, Webb WW. Mobility measurement by analysis of fluorescence photobleaching recovery kinetics. Biophys J. 1976;16:1055–1069. PubMed PMC

Bakay L. The extracellular space in brain tumors. I. Morphological considerations. Brain. 1970;93:693–698. PubMed

Bakay L. The extracellular space in brain tumors. II. The sucrose space. Brain. 1970;93:699–708. PubMed

Bandtlow CE, Zimmermann DR. Proteoglycans in the developing brain: new conceptual insights for old proteins. Physiol Rev. 2000;80:1267–1290. PubMed

Bartol TM, Jr., B.R. L, Salpeter EE, Salpeter MM. Monte Carlo simulation of miniature endplate current generation in vertebrate neuomuscular junction. Biophys J. 1991;59:1290–1307. PubMed PMC

Bartsch U, Pesheva P, Raff M, Schachner M. Expression of janusin (J1-160/180) in the retina and optic nerve of the developing and adult mouse. Glia. 1993;9:57–69. PubMed

Basser PJ. Interstitial pressure, volume, and flow during infusion into brain tissue. Microvascular Res. 1992;44:143–165. PubMed

Basser PJ, Mattiello J, LeBihan D. MR diffusion tenser spectroscopy and imaging. Biophys J. 1994;66:259–267. PubMed PMC

Beaulieu C. The basis of anisotropic water diffusion in the nervous system - a technical review. NMR Biomed. 2002;15:435–455. PubMed

Benveniste H, Hansen AJ, Ottosen NS. Determination of brain interstitial concentrations by microdialysis. J Neurochem. 1989;52:1741–1750. PubMed

Benveniste H, Hüttemeier PC. Microdialysis - theory and application. Prog Neurobiol. 1990;35:195–215. PubMed

Berg HC. Random Walks in Biology. Expanded Edition Princeton University Press; Princeton, New Jersey: 1993.

Berger T, Schnitzer J, Kettenmann H. Developmental changes in the membrane current pattern, K+ buffer capacity, and morphology of glial cells in the corpus callosum slice. J Neurosci. 1991;11:3008–3024. PubMed PMC

Berk DA, Yuan F, Leunig M, Jain RK. Fluorescence photobleaching with spatial Fourier analysis: Measurement of diffusion in light-scattering media. Biophys J. 1993;65:2428–2436. PubMed PMC

Berk DA, Yuan F, Leunig M, Jain RK. Direct in vivo measurement of targeted binding in a human tumor xenograft. Proc Natl Acad Sci USA. 1997;94:1785–1790. PubMed PMC

Bignami A, Asher R. Some observations on the localization of hyaluronic acid in adult, newborn and embryonal rat brain. Int J Dev Neurosci. 1992;10:45–57. PubMed

Bignami A, Hosley M, Dahl D. Hyaluronic acid and hyaluronic acid-binding proteins in brain extracellular matrix. Anat Embryol. 1993;188:419–433. PubMed

Binder DK, Oshio K, Ma T, Verkman AS, Manley GT. Increased seizure threshold in mice lacking aquaporin-4 water channels. Neuroreport. 2004;15:259–262. PubMed

Binder DK, Papadopoulos MC, Haggie PM, Verkman AS. In vivo measurement of brain extracellular space diffusion by cortical surface photobleaching. J Neurosci. 2004;24:8049–8056. PubMed PMC

Bjorklund A. Dopaminergic transplants in experimental parkinsonism: cellular mechanisms of graft-induced functional recovery. Curr Opin Neurobiol. 1992;2:683–689. PubMed

Blasberg RG, Patlak C, Fenstermacher JD. Intrathecal chemotherapy: Brain tissue profiles after ventrticulocisternal perfusion. J Pharmacol Exp Therapeut. 1975;195:73–83. PubMed

Blinkov SM, Glezer II. The Human Brain in Figures and Tables. Basic Books, Plenum; New York: 1968. Chapter 15.

Blum JJ, Lawler G, Reed M, Shin I. Effect of cytoskeletal geometry on intracellular diffusion. Biophys J. 1989;56:995–1005. PubMed PMC

Bobo RH, Laske DW, Akbasak A, Morrison PF, Dedrick RL, Oldfield EH. Convection-enhanced delivery of macromolecules in the brain. Proc Natl Acad Sci USA. 1994;91:2076–2080. PubMed PMC

Bondareff W, Narotzky R. Age changes in the neuronal microenvironment. Science. 1972;176:1135–1136. PubMed

Bondareff W, Pysh JJ. Distribution of the extracellular space during postnatal maturation of rat cerebral cortex. Anat Rec. 1968;160:773–780. PubMed

Bradbury MW. The Concept of a Blood-Brain Barrier. John Wiley; Chichester: 1979.

Bradbury MW, Cserr HF, Westrop RJ. Drainage of cerebral interstitial fluid into deep cervical lymph of the rabbit. Am J Physiol. 1981;240:F329–336. PubMed

Brown ER, Abbott NJ. Ultrastructure and permeability of the Schwann cell layer surrounding the giant axon of the squid. J Neurocytol. 1993;22:283–298. PubMed

Brown EB, Wu ES, Zipfel W, Webb WW. Measurement of molecular diffusion in solution by multiphoton fluorescence photobleaching recovery. Biophys J. 1999;77:2837–2849. PubMed PMC

Brückner G, Grosche J, Hartlage-Rubsamen M, Schmidt S, Schachner M. Region and lamina-specific distribution of extracellular matrix proteoglycans, hyaluronan and tenascin-R in the mouse hippocampal formation. J Chem Neuroanat. 2003;26:37–50. PubMed

Brückner G, Grosche J, Schmidt S, Härtig W, Margolis RU, Delpech B, Seidenbecher CI, Czaniera R, Schachner M. Postnatal development of perineuronal nets in wild-type mice and in a mutant deficient in tenascin-R. J Comp Neurol. 2000;428:616–629. PubMed

Bungay PM, Brenner H. The motion of a closely-fitting sphere in a fluid-filled tube. International J Multiphase Flow. 1973;1:25–56.

Bungay PM, Morrison PF, Dedrick RL. Steady-state theory for quantitative microdialysis of solutes and water invivo and invitro. Life Sci. 1990;46:105–119. PubMed

Bureš J, Burešová O, Křivánek J. The Mechanism and Application of Leão's Spreading Depression of Electroencephalographic Activity. Academic Press; New York: 1974.

Cajal SR. Histologie du système nerveux de l'homme et des vertébrés. II. Maloine; Paris: 1909. p. 1911. L. Azoulay. Fig. 56.

Celio MR, Blumcke I. Perineuronal nets--a specialized form of extracellular matrix in the adult nervous system. Brain Res Rev. 1994;19:128–145. PubMed

Celio MR, Spreafico R, De Biasi S, Vitellaro-Zuccarello L. Perineuronal nets: past and present. Trends Neurosci. 1998;21:510–515. PubMed

Chary SR, Jain RK. Direct measurement of interstitial convection and diffusion of albumin in normal and neoplastic tissues by fluorescence photobleaching. Proc Natl Acad Sci USA. 1989;86:5385–5389. PubMed PMC

Chen KC, Höistad M, Kehr J, Fuxe K, Nicholson C. Quantitative dual-probe microdialysis: mathematical model and analysis. J Neurochem. 2002;81:94–107. PubMed

Chen KC, Nicholson C. Changes in brain cell shape create residual extracellular space volume and explain tortuosity behavior during osmotic challenge. Proc Natl Acad Sci USA. 2000;97:8306–8311. PubMed PMC

Chen KC, Nicholson C. Measurement of diffusion parameters using a sinusoidal iontophoretic source in rat cortex. J Neurosci Meth. 2002;122:97–108. PubMed

Chesler M, Nicholson C. Organization of the filum terminale in the frog. J Comp Neurol. 1985;239:431–444. PubMed

Chvátal A, Anděrová M, Hock M, Prajerova I, Neprasova H, Chvátal V, Kirchhoff F, Syková E. Three-dimensional confocal morphometry reveals structural changes in astrocyte morphology in situ. J Neurosci Res. 2007;85:260–271. PubMed

Chvátal A, Anděrová M, Syková E. Analysis of K+ accumulation reveals privileged extracellular region in the vicinity of glial cells in situ. J Neurosci Res. 2004;78:668–682. PubMed

Chvátal A, Anderová M, Ziak D, Syková E. Glial depolarization evokes a larger potassium accumulation around oligodendrocytes than around astrocytes in gray matter of rat spinal cord slices. J Neurosci Res. 1999;56:493–505. PubMed

Chvátal A, Berger T, Voříšek I, Orkand RK, Kettenmann H, Syková E. Changes in glial K+ currents with decreased extracellular volume in developing rat white matter. J Neurosci Res. 1997;49:98–106. PubMed

Chvátal A, Pastor A, Mauch M, Syková E, Kettenmann H. Distinct populations of identified glial cells in the developing rat spinal cord slice: ion channel properties and cell morphology. Eur J Neurosci. 1995;7:129–142. PubMed

Cole KS, Choh-Luh L, Bak AF. Electrical analogues for tissues. Exp Neurol. 1969;24:459–473. PubMed

Cossart R, Bernard C, Ben-Ari Y. Multiple facets of GABAergic neurons and synapses: multiple fates of GABA signalling in epilepsies. Trends Neurosci. 2005;28:108–115. PubMed

Cragg SJ, Nicholson C, Kume-Kick J, Tao L, Rice ME. Dopamine-mediated volume transmission in midbrain is regulated by distinct extracellular geometry and uptake. J Neurophysiol. 2001;85:1761–1771. PubMed

Crank J. The Mathematics of Diffusion. Second Edition Clarendon Press; Oxford: 1975.

Cserr HF, Cooper DN, Milhorat TH. Flow of cerebral interstitial fluid as indicated by the removal of extracellular markers from rat caudate nucleus. Exp Eye Res. 1977;25(Supplement):461–473. PubMed

Cserr HF, Cooper DN, Suri PK, Patlak CS. Efflux of radiolabeled polyethylene glycols and albumin from rat brain. Am J Physiol. 1981;240:F319–328. PubMed

Cserr HF, DePasquale M, Nicholson C, Patlak CS, Pettigrew KD, Rice ME. Extracellular volume decreases while cell volume is maintained by ion uptake in rat brain during acute hypernatremia. J Physiol. 1991;442:277–295. PubMed PMC

Cserr HF, Ostrach LH. Bulk flow of interstitial fluid after intracranial injection of blue dextran 2000. Exp Neurol. 1974;45:50–60. PubMed

Cserr HF, Patlak CS. Regulation of brain volume under isosmotic and anisosmotic conditions. In: Gilleis R, editor. Advances in Comparative and Environmental Physiology. Springer-Verlag; Berlin: 1991. pp. 61–80.

Cussler EL. Diffusion. Mass Transfer in Fluid Systems. 2nd Edition Cambridge University Press; Cambridge: 1997.

Dai L, Miura RM. A lattice cellular automata model for ion diffusion in the brain-cell microenvironment and determination of tortuosity and volume fraction. SIAM J Applied Math. 1999;59:2247–2273.

Davson H. A Textbook of General Physiology. Fourth edition Vol. 1. Williams and Wilkins; Baltimore: 1970.

Davson H, Danielli JF. The Permeability of Natural Membranes. Hafner; Darien, Coinnecticut: 1970.

Dayton MA, Ewing AG, Wightman RM. Diffusion processes measured at microvoltammetric electrodes in brain tissue. J Electroanalytical Chem. 1983;146:189–200.

de Gennes PG. Scaling Concepts in Polymer Physics. Cornell University Press; Ithica, NY: 1975.

Deen WM. Hindered transport of large molecules in liquid-filled pores. AIChE J. 1987;33:1409–1425.

Dietzel I, Heinemann U, Hofmeier G, Lux HD. Transient changes in the size of the extracellular space in the sensorimotor cortex of cats in relation to stimulus-induced changes in potassium concentration. Exp Brain Res. 1980;40:432–439. PubMed

Dietzel I, Heinemann U, Hofmeier G, Lux HD. Stimulus-induced changes in extracellular Na+ and Cl− concentration in relation to changes in the size of the extracellular space. Exp Brain Res. 1982;46:73–84. PubMed

Dietzel I, Heinemann U, Lux HD. Relations between slow extracellular potential changes, glial potassium buffering, and electrolyte and cellular volume changes during neuronal hyperactivity in cat brain. Glia. 1989;2:25–44. PubMed

Dionne VE. Characterization of drug iontophoresis with a fast microassay technique. Biophys J. 1976;16:705–717. PubMed PMC

Doi M. Introduction to Polymer Physics. Clarendon Press; Oxford: 1996.

Duong TQ, Sehy JV, Yablonskiy DA, Snider BT, Ackerman JJH, Neil JJ. Extracellular apparent diffusion in rat brain. Mag Res Med. 2001;45:801–810. PubMed

Dykstra KH, Hsiao JK, Morrison PF, Bungay PM, Mefford IN, Scully MM, Dedrick RL. Quantitative examination of tissue concentration profiles associated with microdialysis. J Neurochem. 1992;58:931–940. PubMed

Eberhardt W, Woidich D, Reichenbach A. Determination of the extracellular tortuosity in nuclear layers of the central nervous system by resistance measurements on a geometrical model. J Hirnforsch. 1990;31:1–11. PubMed

Egelman DM, Montague PR. Calcium dynamics in the extracellular space of mammalian neural tissue. Biophys J. 1999;76:1856–1867. PubMed PMC

El-Kareh AW, Braunstein SL, Secomb TW. Effect of cell arrangement and interstitial volume fraction on the diffusivity of monoclonal antibodies in tissue. Biophys J. 1993;64:1638–1646. PubMed PMC

Eng LF, Ghirnikar RS, Lee YL. Glial fibrillary acidic protein: GFAP-thirty-one years (1969-2000). Neurochem Res. 2000;25:1439–1451. PubMed

Erickson HP, Bourdon MA. Tenascin: an extracellular matrix protein prominent in specialized embryonic tissues and tumors. Annual Rev Cell Biol. 1989;5:71–92. PubMed

Evans PD, Reale V, Merzon RM, Villegas J. The pharmacology of receptors present on squid giant axon Schwann cells. In: Abbott NJ, Williamson R, Maddock L, editors. Cephalopod Neurobiology. Oxford University Press; Oxford: 1995. pp. 213–228.

Fedirko N, Svichar N, Chesler M. Fabrication and use of high-speed, concentric H+ - and Ca2+-selective microelectrodes suitable for in vitro extracellular recording. J Neurophysiol. 2006;96:919–924. PubMed

Fenstermacher JD, Bradbury MWB, du Boulay G, Kendall BE, Radu EW. The distribution of 125I-metrizamide and 125I-diatrizoate between blood, brain and cerebrospinal fluid in the rabbit. Neuroradiology. 1980;19:171–180. PubMed

Fenstermacher JD, Davson H. Distribution of two model amino acids from cerebrospinal fluid to brain and blood. Am J Physiol. 1982;242:F171–F180. PubMed

Fenstermacher JD, Kaye T. Drug “diffusion” within the brain. Ann NY Acad Sci. 1988;531:29–39. PubMed

Fenstermacher JD, Li CL, Levin VA. Extracellular space of the cerebral cortex of normothermic and hypothermic cats. Exp Neurol. 1970;27:101–114. PubMed

Fenstermacher JD, Patlak CS, Blasberg RG. Transport of material between brain extracellular fluid, brain cells and blood. Fed Proc. 1974;33:2070–2074. PubMed

Fenstermacher JD, Rall DP, Patlak CS, Levin VA. Ventriculocisternal perfusion as a technique for analysis of brain capillary permeability and extracellular transport. In: Crone C, Lassen NA, editors. Capillary Permeability. Alfred Benzoin Symposium II. Academic Press; New York: 1970. pp. 483–490.

Fick A. On liquid diffusion. J Membr Sci. 1995;100:33–38.

Fischer W, Wictorin K, Bjorklund A, Williams LR, Varon S, Gage FH. Amelioration of cholinergic neuron atrophy and spatial memory impairment in aged rats by nerve growth factor. Nature. 1987;329:65–68. PubMed

Frankenhaeuser B, Hodgkin AL. The after-effects of impulses in the giant nerve fibres of Loligo. J Physiol. 1956;131:341–376. PubMed PMC

Friede RL, Hu KH. A new approach for determining the volume of cerebral cellular fluid and demonstration of its communication with C.S.F. J Physiol. 1971;218:477–493. PubMed PMC

Fuxe K, Agnati LF. Volume Transmission in the Brain. Raven Press; New York: 1991.

Gardner-Medwin AR. Membrane transport and solute migration affecting the brain cell microenvironment. Neurosci Res Prog Bull. 1980;18:208–226.

Gonzalez-Robles A, Glusman S. The filum terminale of the frog spinal cord. Light and electron microscopic observations. Cell Tissue Res. 1979;199:519–528. PubMed

Goodknight RC, Klikoff WA, Fatt I. Non-steady-state fluid flow and diffusion in porous media containing dead-end pore volume. J Phys Chem. 1960;64:1162–1168.

Goodman JA, Kroenke CD, Bretthorst GL, Ackerman JJ, Neil JJ. Sodium ion apparent diffusion coefficient in living rat brain. Mag Reson Med. 2005;53:1040–1045. PubMed

Gómez-Pinilla F, Knauer DJ, Nieto-Sampedro M. Epidermal growth factor receptor immunoreactivity in rat brain. Development and cellular localization. Brain Res. 1988;438:385–390. PubMed

Grady CL, Craik FI. Changes in memory processing with age. Curr Opin Neurobiol. 2000;10:224–231. PubMed

Granath KA, Kvist BE. Molecular weight distribution analysis by gel chromatography on sephadex. J Chromatog. 1967;28:69–81. PubMed

Groothuis DR, Vavra MW, Schlageter KE, Kang EW, Itskovich AC, Hertzler S, Allen CV, Lipton HL. Efflux of drugs and solutes from brain: the interactive roles of diffusional transcapillary transport, bulk flow and capillary transporters. J Cereb Blood Flow Metab. 2007;27:43–56. PubMed

Groothuis DR, Ward S, Itskovich AC, Dobrescu C, Allen CV, Dills C, Levy RM. Comparison of 14C-sucrose delivery to the brain by intravenous, intraventricular, and convection-enhanced intracerebral infusion. J Neurosurg. 1999;90:321–331. PubMed

Grosche J, Matyash V, Moller T, Verkhratsky A, Reichenbach A, Kettenmann H. Microdomains for neuron-glia interaction: parallel fiber signaling to Bergmann glial cells. Nat Neurosci. 1999;2:139–143. PubMed

Guthrie PB, Knappenberger J, Segal M, Bennett MVL, Charles AC, Kater SB. ATP released from astrocytes mediates glial calcium waves. J Neurosci. 1999;19:520–528. PubMed PMC

Hama K, Arii T, Katayama E, Marton M, Ellisman MH. Tri-dimensional morphometric analysis of astrocytic processes with high voltage electron microscopy of thick Golgi preparations. J Neurocytol. 2004;33:277–285. PubMed

Hamilton JF, Morrison PF, Chen MY, Harvey-White J, Pernaute RS, Phillips H, Oldfield E, Bankiewicz KS. Heparin coinfusion during convection-enhanced delivery (CED) increases the distribution of the glial-derived neurotrophic factor (GDNF) ligand family in rat striatum and enhances the pharmacological activity of neurturin. Exp Neurol. 2001;168:155–161. PubMed

Hansen AJ. Effect of anoxia on ion distribution in the brain. Physiol Rev. 1985;65:101–148. PubMed

Hansen AJ, Olsen CE. Brain extracellular space during spreading depression and ischemia. Acta Physiol Scand. 1980;108:355–365. PubMed

Harris EJ, Burn GP. The transfer of sodium and potassium ions between muscle and the surrounding medium. Trans Faraday Soc. 1949;45:508–528.

Härtig W, Brauer K, Brückner G. Wisteria floribunda agglutinin-labelled nets surround parvalbumin-containing neurons. Neuroreport. 1992;3:869–872. PubMed

Härtig W, Derouiche A, Welt K, Brauer K, Grosche J, Mader M, Reichenbach A, Brückner G. Cortical neurons immunoreactive for the potassium channel Kv3.1b subunit are predominantly surrounded by perineuronal nets presumed as a buffering system for cations. Brain Res. 1999;842:15–29. PubMed

Hatton GI. Function-related plasticity in hypothalamus. Annual Rev Neurosci. 1997;20:375–397. PubMed

Hawkins BT, Davis TP. The blood-brain barrier/neurovascular unit in health and disease. Pharmacol Rev. 2005;57:173–185. PubMed

Haydon PG. GLIA: listening and talking to the synapse. Nat Rev Neurosci. 2001;2:185–193. PubMed

Hill DK. The effect of stimulation on the opacity of a cructacian nerve trunk and its relation to fibre diameter. J Physiol. 1950;111:283–303. PubMed PMC

Hille B. Ionic Channels of Excitable Membranes. Second Edition Sinauer Associates; Sunderland, MA: 1992.

Hirrlinger J, Hulsmann S, Kirchhoff F. Astroglial processes show spontaneous motility at active synaptic terminals in situ. Eur J Neurosci. 2004;20:2235–2239. PubMed

Hobohm C, Härtig W, Brauer K, Brückner G. Low expression of extracellular matrix components in rat brain stem regions containing modulatory aminergic neurons. J Chem Neuroanat. 1998;15:135–142. PubMed

Hochman DW, Baraban SC, Owens JWM, Schwartzkroin PA. Dissociation of synchronization and excitability in furosemide blockade of epileptiform activity. Science. 1995;270:99–102. PubMed

Höistad M, Chen KC, Nicholson C, Fuxe K, Kehr J. Quantitative dual-probe microdialysis: evaluation of [3H]mannitol diffusion in agar and rat striatum. J Neurochem. 2002;81:80–93. PubMed

Holmes O, Lockton JW. Penicillin epileptogenesis in the rat: diffusion and the differential laminar sensitivity of the cortex cerebri. Brain Res. 1982;231:131–141. PubMed

Holthoff K, Witte OW. Intrinsic optical signals in rat neocortical slices measured with near-infrared dark-field microscopy reveal changes in extracellular space. J Neurosci. 1996;16:2740–2749. PubMed PMC

Homola A, Zoremba N, Slais K, Kuhlen R, Syková E. Changes in diffusion parameters, energy-related metabolites and glutamate in the rat cortex after transient hypoxia/ischemia. Neurosci Lett. 2006;404:137–142. PubMed

Horstmann E, Meves H. Die Feinstrucktur des moleculären Rindengraues und ihre physiologisches Bedeutung. Z Zellforschung. 1959;49:569–604.

Hossmann KA. Cortical steady potential, impedance and excitability changes during and after total ischemia of cat brain. Exp Neurol. 1971;32:163–175. PubMed

Hounsgaard J, Nicholson C. Potassium accumulation around individual Purkinje cells in cerebellar slices from the guinea-pig. J Physiol. 1983;340:359–388. PubMed PMC

Hounsgaard J, Nicholson C. The isolated turtle brain and the physiology of neuronal circuits. In: Jahnsen H, editor. Preparations of Vertebrate Central Nervous System in Vitro. Wiley; Chichester: 1990. pp. 279–294.

Hrabe J, Hrabětová S, Segeth K. A model of effective diffusion and tortuosity in the extracellular space of the brain. Biophys J. 2004;87:1606–1617. PubMed PMC

Hrabětová S. Extracellular diffusion is fast and isotropic in the stratum radiatum of hippocampal CA1 region in rat brain slices. Hippocampus. 2005;15:441–450. PubMed

Hrabětová S, Chen KC, Masri D, Nicholson C. Water compartmentalization and spread of ischemic injury in thick-slice ischemia model. J Cereb Blood Flow Metab. 2002;22:80–88. PubMed

Hrabětová S, Hrabe J, Nicholson C. Dead-space microdomains hinder extracellular diffusion in rat neocortex during ischemia. J Neurosci. 2003;23:8351–8359. PubMed PMC

Hrabětová S, Nicholson C. Dextran decreases extracellular tortuosity in thick-slice ischemia model. J Cereb Blood Flow Metab. 2000;20:1306–1310. PubMed

Hrabětová S, Nicholson C. Contribution of dead-space microdomains to tortuosity of brain extracellular space. Neurochem Int. 2004;45:467–477. PubMed

Hrabětová S, Nicholson C. Biophysical properties of brain extracellular space explored with ion-selective microelectrodes, integrative optical imaging and related techniques. In: Michael AC, Borland LM, editors. Electrochemical Methods for Neuroscience. CRC Press, Taylor Francis Group; Boca Raton: 2007. pp. 167–204. PubMed

Ichimura T, Fraser PA, Cserr HF. Distribution of extracellular tracers in perivascular spaces of the rat brain. Brain Res. 1991;545:103–113. PubMed

Isaacson JS, Solis JM, Nicoll RA. Local and diffuse synaptic actions of GABA in the hippocampus. Neuron. 1993;10:165–175. PubMed

Jain RK, Stock RJ, Chary SR, Rueter M. Convection and diffusion measurements using fluorescence recovery after photobleaching and video image analysis: In vitro calibration and assessment. Microvascular Res. 1990;39:77–93. PubMed

Jansson A, Mazel T, Andbjer B, Rosen L, Guidolin D, Zoli M, Syková E, Agnati LF, Fuxe K. Effects of nitric oxide inhibition on the spread of biotinylated dextran and on extracellular space parameters in the neostriatum of the male rat. Neurosci. 1999;91:69–80. PubMed

Jaworski DM, Kelly GM, Piepmeier JM, Hockfield S. BEHAB (brain enriched hyaluronan binding) is expressed in surgical samples of glioma and in intracranial grafts of invasive glioma cell lines. Cancer Res. 1996;56:2293–2298. PubMed

Jenkins HG, Bachelard HS. Developmental and age-related changes in rat brain glycosaminoglycans. J Neurochem. 1988;51:1634–1640. PubMed

Joester A, Faissner A. The structure and function of tenascins in the nervous system. Matrix Biol. 2001;20:13–22. PubMed

Johnson EM, Berk DA, Jain RK, Deen WM. Diffusion and partitioning of proteins in charged agarose gels. Biophys J. 1995;68:1561–1568. PubMed PMC

Johnson EM, Berk DA, Jain RK, Deen WM. Hindered diffusion in agarose gels: Test of effective medium model. Biophys J. 1996;70:1017–1023. PubMed PMC

Johnston PV, Roots BI. Nerve Membranes. A Study of the Biological and Chemical Aspects of Neuron-Glia Relationships. Pergamon; Oxford: 1972.

Jones HC, Bucknall RM. Inherited prenatal hydrocephalus in the H-Tx rat: A morphological study. Neuropathol Appl Neurobiol. 1988;14:263–274. PubMed

Katzman R, Pappius HM. Brain Electrolytes and Fluid Metabolism. Williams & Wilkins; Baltimore: 1973.

Kaufman EN, Jain RK. Quantification of transport and binding parameters using fluorescence recovery after photobleaching - potential for in vivo applications. Biophys J. 1990;58:873–885. PubMed PMC

Kaur G, Hrabětová S, Guilfoyle DN, Nicholson C, Hrabe J. Characterizing molecular probes for diffusion measurements in the brain. J Neurosci Meth. (in press) PubMed PMC

Keilhauer G, Faissner A, Schachner M. Differential inhibition of neurone-neurone, neurone-astrocyte and astrocyte-astrocyte adhesion by L1, L2 and N-CAM antibodies. Nature. 1985;316:728–730. PubMed

Kilb W, Dierkes PW, Syková E, Vargová L, Luhmann HJ. Hypoosmolar conditions reduce extracellular volume fraction and enhance epileptiform activity in the CA3 region of the immature rat hippocampus. J Neurosci Res. 2006;84:119–129. PubMed

Kimelberg HK, Frangakis MV. Furosemide- and bumetanide-sensitive ion transport and volume control in primary astrocyte cultures from rat brain. Brain Res. 1985;361:125–134. PubMed

Kiss JP, Vizi ES. Nitric oxide: a novel link between synaptic and nonsynaptic transmission. Trends Neurosci. 2001;24:211–215. PubMed

Kofuji P, Newman EA. Potassium buffering in the central nervous system. Neurosci. 2004;129:1045–1056. PubMed PMC

Kohn DF, Chinookoswong N, Chou SM. A new model of congenital hydrocephalus in the rat. Acta Neuropathol (Berl) 1981;54:211–218. PubMed

Köhling R, Lehmenkühler A, Nicholson C, Speckmann E-J. Superfusion of verapamil on the cerebral cortex does not suppress epileptic discharges due to restricted diffusion (rats, in vivo). Brain Res. 1993;626:149–155. PubMed

Köppe G, Brückner G, Härtig W, Delpech B, Bigl V. Characterization of proteoglycan-containing perineuronal nets by enzymatic treatments of rat brain sections. Histochem J. 1997;29:11–20. PubMed

Kreisman NR, LaManna JC, Liao SC, Yeh ER, Alcala JR. Light transmittance as an index of cell volume in hippocampal slices: optical differences of interfaced and submerged positions. Brain Res. 1995;693:179–186. PubMed

Krewson CE, Klarman ML, Saltzman WM. Distribution of nerve growth factor following direct delivery to brain interstitium. Brain Res. 1995;680:196–206. PubMed

Krewson CE, Saltzman WM. Transport and elimination of recombinant human NGF during long-term delivery to the brain. Brain Res. 1996;727:169–181. PubMed

Křiž N, Syková E, Ujec E, Vyklický L. Changes of extracellular potassium concentration induced by neuronal activity in the sinal cord of the cat. J Physiol. 1974;238:1–15. PubMed PMC

Křiž N, Syková E, Vyklický L. Extracellular potassium changes in the spinal cord of the cat and their relation to slow potentials, active transport and impulse transmission. J Physiol. 1975;249:167–182. PubMed PMC

Križaj D, Rice ME, Wardle RA, Nicholson C. Water compartmentalization and extracellular tortuosity after osmotic changes in cerebellum of Trachemys scripta. J Physiol. 1996;492:887–896. PubMed PMC

Kroenke CD, Ackerman JJ, Neil JJ. Magnetic resonance measurement of tetramethylammonium diffusion in rat brain: Comparison of magnetic resonance and ionophoresis in vivo diffusion measurements. Mag Res Med. 2003;50:717–726. PubMed

Kroenke CD, Neil JJ. Use of magnetic resonance to measure molecular diffusion within the brain extracellular space. Neurochem Int. 2004;45:561–568. PubMed

Kuffler SW, Potter DD. Glia in the leech central nervous system: Physiological properties and neuron-glia relationship. J Neurophysiol. 1964;27:290–320. PubMed

Kullmann DM, Erdemli G, Asztely F. LTP of AMPA and NMDA receptor-mediated signals: Evidence for presynaptic expression and extrasynaptic glutamate spill-over. Neuron. 1996;17:461–474. PubMed

Kume-Kick J, Mazel T, Voříšek I, Hrabětová S, Tao L, Nicholson C. Independence of extracellular tortuosity and volume fraction during osmotic challenge in rat neocortex. J Physiol. 2002;542:515–527. PubMed PMC

Lassmann H, Vass K, Brunner C, Seitelberger F. Charcterization of inflammatory infiltrates in experimental allergic encephalomyelitis. Prog Neuropathol. 1986;6:33–62.

Latour LL, Svoboda K, Mitra PP, Sotak CH. Time-dependent diffusion of water in a biological model system. Proc Natl Acad Sci USA. 1994;91:1229–1233. PubMed PMC

Laurent TC, Fraser JR. Hyaluronan. Faseb J. 1992;6:2397–2404. PubMed

Le Bihan D. Diffusion and Perfusion Magnetic Resonance Imaging. Applications to Functional MRI. Raven Press; New York: 1995.

Le Bihan D, Breton E, Lallemand D, Grenier P, Cabanis E, Laval-Jeantet M. MR imaging of intravoxel incoherent motions: application to diffusion and perfusion in neurologic disorders. Radiology. 1986;161:401–407. PubMed

Le Bihan D, Mangin JF, Poupon C, Clark CA, Pappata S, Molko N, Chabriat H. Diffusion tensor imaging: concepts and applications. J Magn Reson Imaging. 2001;13:534–546. PubMed

Lehman M, Silver R. CSF signaling in physiology and behavior. In: Agnati LF, Fuxe K, Nicholson C, Syková E, editors. Volume Transmission Revisited. Elsevier; Amsterdam: 2000.

Lehmenkühler A, Kersting U, Nicholson C. Diffusion of penicillin in agar and cerebral cortex of the rat. Brain Res. 1988;444:181–183. PubMed

Lehmenkühler A, Nicholson C, Speckmann EJ. Threshold extracellular concentration distribution of penicillin for generation of epileptic focus measured by diffusion analysis. Brain Res. 1991;561:292–298. PubMed

Lehmenkühler A, Syková E, Svoboda J, Zilles K, Nicholson C. Extracellular space parameters in the rat neocortex and subcortical white matter during postnatal development determined by diffusion analysis. Neurosci. 1993;55:339–351. PubMed

Levin VA, Fenstermacher JD, Patlak CS. Sucrose and inulin space measurements of cerebral cortex in four mammalian species. Am J Physiol. 1970;219:1528–1533. PubMed

Lide DR. CRC Handbook of Chemistry and Physics. 88th Edition CRC Press; Boca Raton, Fl: 2007.

Liedtke W, Edelmann W, Bieri PL, Chiu FC, Cowan NJ, Kucherlapati R, Raine CS. GFAP is necessary for the integrity of CNS white matter architecture and long-term maintenance of myelination. Neuron. 1996;17:607–615. PubMed

Lipinski H-G. Monte-Carlo simulation of extracellular diffusion in brain tissues. Phys Med Biol. 1990;35:441–447. PubMed

Lipton P. Effects of membrane depolarization on light scattering by cerebral cortical slices. J Physiol. 1973;231:365–383. PubMed PMC

Lo WD, Wolny AC, Timan C, Shin D, Hinkle GH. Blood brain barrier permeability and the brain extracellular space in acute cerebral inflammation. J Neurol Sci. 1993;118:188–193. PubMed

Longsworth LG. Diffusion measurements, at 25 degrees, of aqueous solutions of amino acids, peptides and sugars. J Am Chem Soc. 1953;75:5705–5709.

Lorente de Nó R. A Study of Nerve Physiology. Part 1. Studies from the Rockefeller Institute. 1947;131:1–496. PubMed

Lorente de Nó R. A Study of Nerve Physiology. Part 2. Studies from the Rockefeller Institute. 1947;132:1–497. PubMed

Loscher W, Honack D, Fassbender CP, Nolting B. The role of technical, biological and pharmacological factors in the laboratory evaluation of anticonvulsant drugs. III. Pentylenetetrazole seizure models. Epilepsy Res. 1991;8:171–189. PubMed

Loughlin SE, Fallon JH. Neurotrophic Factors. Academic Press; San Diego, CA: 1993.

Luby-Phelps K, Taylor DL, Lanni F. Probing the structure of cytoplasm. J Cell Biol. 1986;102:2015–2022. PubMed PMC

Luhmann HJ, Kral T. Hypoxia-induced dysfunction in developing rat neocortex. J Neurophysiol. 1997;78:1212–1221. PubMed

Lundbæk JA, Hansen AJ. Brain interstitial volume fraction and tortuosity in anoxia. Evaluation of the ion-selective micro-electrode method. Acta Physiol Scand. 1992;146:473–484. PubMed

Lux HD, Neher E. The equilibration time course of [K+]o in cat cortex. Exp Brain Res. 1973;17:190–205. PubMed

Lücke A, Lehmenkühler A, Altrup U, Nicholson C, Reith H, Schmitz-Moormann C, Speckmann E-J. Diffusion analysis of valproate and trans-2-en-valproate in agar and in cerebral cortex of the rat. Brain Res. 1993;631:187–190. PubMed

Mabuchi T, Lucero J, Feng A, Koziol JA, del Zoppo GJ. Focal cerebral ischemia preferentially affects neurons distant from their neighboring microvessels. J Cereb Blood Flow Metab. 2005;25:257–266. PubMed

Magzoub M, Jin S, Verkman AS. Enhanced macromolecule diffusion deep in tumors after enzymatic digestion of extracellular matrix collagen and its associated proteoglycan decorin. Faseb J. 2008;22:276–284. PubMed

Margolis RK, Margolis RU. Nervous tissue proteoglycans. Experientia. 1993;49:429–446. PubMed

Maroudas A. Physicochemical properties of cartilage in the light of ion exchange theory. Biophys J. 1968;8:575–595. PubMed PMC

Maroudas A. Distribution and diffusion of solutes in articular cartilage. Biophys J. 1970;10:365–379. PubMed PMC

Maroudas A, Weinberg PD, Parker KH, Winlove CP. The distributions and diffusivities of small ions in chondroitin sulphate, hyaluronate and some proteoglycan solutions. Biophys Chem. 1988;32:257–270. PubMed

Martins-Ferreira H, de Oliveira Castro G. Light-scattering changes accompanying spreading depression in isolated retina. J Neurophysiol. 1966;29:715–726. PubMed

Martins-Ferreira H, Nedergaard M, Nicholson C. Perspectives on spreading depression. Brain Res Rev. 2000;32:215–234. PubMed

Mathias RT. Effect of tortuous extracellular pathways on resistance measurements. Biophys J. 1983;42:55–59. PubMed PMC

Maxwell JC. A Treatise on Electricity and Magnetism. Vol. 1. Dover; New York: 1954.

Mazel T, Richter F, Vargová L, Syková E. Changes in extracellular space volume and geometry induced by cortical spreading depression in immature and adult rats. Physiol Res. 2002;51(Suppl 1):S85–S93. PubMed

Mazel T, Šimonová Z, Syková E. Diffusion heterogeneity and anisotropy in rat hippocampus. Neuroreport. 1998;9:1299–1304. PubMed

McBain CJ, Traynelis SF, Dingledine R. Regional variation of extracellular space in the hippocampus. Science. 1990;249:674–677. PubMed

McKenzie DR, McPhedran RC. Exact modelling of cubic lattice permittivity and conductivity. Nature. 1977;265:128–129.

McLennan H. The diffusion of potassium, inulin, and thiocyanate in the extracellular spaces of mammalian muscle. Biochim Biophys Acta. 1956;21:472–481. PubMed

McLennan H. The diffusion of potassium, sodium, sucrose, and inulin in the extracellular spaces of mammalian tissues. Biochim Biophys Acta. 1957;24:1–8. PubMed

Metea MR, Newman EA. Glial cells dilate and constrict blood vessels: a mechanism of neurovascular coupling. J Neurosci. 2006;26:2862–2870. PubMed PMC

Meulemans A. A model of cefoperazone tissue penetration - Diffusion coefficient and protein binding. Antimicrob Agents Chemotherap. 1992;36:295–298. PubMed PMC

Meulemans A. Diffusion coefficients and half-lives of nitric oxide and N-nitroso-L-arginine in rat cortex. Neurosci Lett. 1994;171:89–93. PubMed

Meyer-Luehmann M, Stalder M, Herzig MC, Kaeser SA, Kohler E, Pfeifer M, Boncristiano S, Mathews PM, Mercken M, Abramowski D, Staufenbiel M, Jucker M. Extracellular amyloid formation and associated pathology in neural grafts. Nat Neurosci. 2003;6:370–377. PubMed

Min M-Y, Rusakov DA, Kullmann DM. Activation of AMPA, kainate, and metabotropic receptors at hippocampal mossy fiber synapses: Role of glutamate diffusion. Neuron. 1998;21:561–570. PubMed

Mongin AA, Kimelberg HK. Astrocytic swelling in neuropathology. In: Kettenmann H, Ransom BR, editors. Neuroglia. 2nd Edition Oxford University Press; New York: 2005. pp. 550–562.

Morgenstern DA, Asher RA, Fawcett JW. Chondroitin sulphate proteoglycans in the CNS injury response. Prog Brain Res. 2002;137:313–332. PubMed

Mori S, Zhang J. Principles of diffusion tensor imaging and its applications to basic neuroscience research. Neuron. 2006;51:527–539. PubMed

Morris ME, Krnjević K. Slow diffusion of Ca2+ in the rat's hippocamus. Can J Physiol Pharmacol. 1981;59:1022–1025. PubMed

Morrison PF, Bungay PM, Hsiao JK, Ball BA, Mefford IN, Dedrick RL. Quantitative microdialysis: Analysis of transients and application to pharmacokinetics in brain. J Neurochem. 1991;57:103–119. PubMed

Moseley ME, Cohen Y, Mintorovitch J, Chileuitt L, Shimizu H, Kucharczyk J, Wendland MF, Weinstein PR. Early detection of regional cerebral ischemia in cats: Comparison of diffusion- and T2-weighted MRI and spectroscopy. Mag Res Med. 1990;14:330–346. PubMed

Moshe SL. Epileptogenesis and the immature brain. Epilepsia. 1987;28(Suppl 1):S3–S15. PubMed

Mota M, Teixeira JA, Keating JB, Yelshin A. Changes in diffusion through the brain extracellular space. Biotechnol Appl Biochem. 2004;39:223–232. PubMed

Mouton PR, Long JM, Lei DL, Howard V, Jucker M, Calhoun ME, Ingram DK. Age and gender effects on microglia and astrocyte numbers in brains of mice. Brain Res. 2002;956:30–35. PubMed

Nakic M, Manahan-Vaughan D, Reymann KG, Schachner M. Long-term potentiation in vivo increases rat hippocampal tenascin-C expression. J Neurobiol. 1998;37:393–404. PubMed

Nandigam RK, Kroll DM. Three-dimensional modeling of the brain's ECS by minimum configurational energy packing of fluid vesicles. Biophys J. 2007;92:3368–3378. PubMed PMC

Newman EA. New roles for astrocytes: regulation of synaptic transmission. Trends Neurosci. 2003;26:536–542. PubMed

Newman EA. Glial cell inhibition of neurons by release of ATP. J Neurosci. 2003;23:1659–1666. PubMed PMC

Newman GC, Hospod FE, Qi H, Patel H. Effects of dextran on hippocampal brain slice water, extracellular space, calcium kinetics and histology. J Neurosci Meth. 1995;61:33–46. PubMed

Newman GC, Hospod FE, Wu P. Thick brain slices model the ischemic penumbra. J Cereb Blood Flow Metab. 1988;8:586–597. PubMed

Nicholson C. Theoretical analysis of field potentials in anisotropic ensembles of neuronal elements. IEEE Trans Biomed Eng. 1973;20:278–288. PubMed

Nicholson C. Brain cell microenvironment as a communication channel. In: Schmitt FO, Worden FG, editors. The Neurosciences Fourth Study Program. MIT Press; Cambridge, MA: 1979. pp. 457–476.

Nicholson C. Diffusion from an injected volume of a substance in brain tissue with arbitrary volume fraction and tortuosity. Brain Res. 1985;333:325–329. PubMed

Nicholson C. Quantitative analysis of extracellular space using the method of TMA+ iontophoresis and the issue of TMA+ uptake. Can J Physiol Pharmacol. 1992;70:S314–S322. PubMed

Nicholson C. Ion-selective microelectrodes and diffusion measurements as tools to explore the brain cell microenvironment. J Neurosci Meth. 1993;48:199–213. PubMed

Nicholson C. Interaction between diffusion and Michaelis-Menten uptake of dopamine after iontophoresis in striatum. Biophys J. 1995;68:1699–1715. PubMed PMC

Nicholson C. Structure of extracellular space and physicochemical properties of molecules governing drug movement in brain and spinal cord. In: Yaksh TL, editor. Spinal Drug Delivery. Elsevier; Amsterdam: 1999. pp. 253–269.

Nicholson C. Volume transmission in the year 2000. In: Agnati LF, Fuxe K, Nicholson C, Syková E, editors. Volume Transmission Revisited. Progress in Brain Research. Vol. 125. Elsevier; Oxford: 2000. pp. 437–446. PubMed

Nicholson C. Diffusion and related transport properties in brain tissue. Rep Prog Phys. 2001;64:815–884.

Nicholson C, Freeman JA. Theory of current source-density analysis and determination of conductivity tensor for anuran cerebellum. J Neurophysiol. 1975;38:356–368. PubMed

Nicholson C, Miyan JA, Potter KT, Williamson R, Abbott NJ. Diffusion properties of the microenvironment of cephalopod brain. In: Abbott NJ, Williamson R, Maddock L, editors. Cephalopod Neurobiology. Oxford University Press; Oxford: 1995. pp. 383–397.

Nicholson C, Phillips JM. Ion diffusion modified by tortuosity and volume fraction in the extracellular microenvironment of the rat cerebellum. J Physiol. 1981;321:225–257. PubMed PMC

Nicholson C, Phillips JM, Gardner-Medwin AR. Diffusion from an iontophoretic point source in the brain: role of tortuosity and volume fraction. Brain Res. 1979;169:580–584. PubMed

Nicholson C, Rice ME. Diffusion characteristics of skate (Raja erinacea) cerebellum measured with tetramethylammonium and ion-selective microelectrodes. Bull Mount Desert Island Biol Lab. 1985;25:54–55.

Nicholson C, Rice ME. The migration of substances in the neuronal microenvironment. Ann NY Acad Sci. 1986;481:55–71. PubMed

Nicholson C, Rice ME. Calcium diffusion in the brain cell microenvironment. Can J Physiol Pharmacol. 1987;65:1086–1091. PubMed

Nicholson C, Rice ME. Use of ion-selective microelectrodes and voltammetric microsensors to study brain cell microenvironment. In: Boulton AA, Baker GB, Walz W, editors. Neuromethods: The Neuronal Microenvironment. Humana; Clifton, NJ: 1988. pp. 247–361.

Nicholson C, Rice ME. Diffusion of ions and transmitters in the brain cell microenvironment. In: Fuxe K, Agnati LF, editors. Volume Transmission in the Brain: Novel Mechanisms for Neural Transmission. Raven Press; New York: 1991. pp. 279–294.

Nicholson C, Syková E. Extracellular space structure revealed by diffusion analysis. Trends Neurosci. 1998;21:207–215. PubMed

Nicholson C, Tao L. Hindered diffusion of high molecular weight compounds in brain extracellular microenvironment measured with integrative optical imaging. Biophys J. 1993;65:2277–2290. PubMed PMC

Nicholson PW. Specific impedance of cerebral white matter. Exp Neurol. 1965;13:386–401. PubMed

Norris DG. The effects of microscopic tissue parameters on the diffusion weighted magnetic resonance imaging experiment. NMR Biomed. 2001;14:77–93. PubMed

Norton WT, Aquino DA, Hozumi I, Chiu FC, Brosnan CF. Quantitative aspects of reactive gliosis: a review. Neurochem Res. 1992;17:877–885. PubMed

Novak U, Kaye AH. Extracellular matrix and the brain: components and function. J Clinical Neurosci. 2000;7:280–290. PubMed

Nugent LJ, Jain RK. Extravascular diffusion in normal and neoplastic tissues. Cancer Res. 1984;44:238–244. PubMed

O'Shea JM, Williams SR, van Bruggen N, Gardner-Medwin AR. Apparent diffusion coefficient and MR relaxation during osmotic manipulation in isolated turtle cerebellum. Mag Res Med. 2000;44:427–432. PubMed

Oehme M, Simon W. Microelectrode for K+ based on a neutral carrier and comparison of its characteristics with a cation exchanger sensor. Anal Chim Acta. 1976;86:21–25.

Ogata K, Kosaka T. Structural and quantitative analysis of astrocytes in the mouse hippocampus. Neurosci. 2002;113:221–233. PubMed

Ogston AG. On the physical chemistry of porous systems. Br Med Bull. 1966;22:105–108. PubMed

Ogston AG, Preston BN, Wells JD. On the transport of compact particles through solutions of chain-polymers. Proc Roy Soc London A. 1973;333:297–316.

Ogston AG, Woods EF. Molecular configuration of dextrans in aqueous solution. Nature. 1953;171:221–222. PubMed

Ohata K, Marmarou A. Clearance of brain edema and macromolecules through the cortical extracellular space. J Neurosurg. 1992;77:387–396. PubMed

Ohno N, Terada N, Saitoh S, Ohno S. Extracellular space in mouse cerebellar cortex revealed by in vivo cryotechnique. J Comp Neurol. 2007;505:292–301. PubMed

Okada YC, Huang J-C, Rice ME, Tranchina D, Nicholson C. Origin of the apparent conductivity in the molecular and granular layers of the in vitro turtle cerebellum and the interpretation of current source-density analysis. J Neurophysiol. 1994;72:742–753. PubMed

Pais A. Subtle is the Lord. The Science and the Life of Albert Einstein. Oxford University Press; Oxford: 2005.

Palay SL, McGee-Russell SM, Gordon S, Jr., Grillo MA. Fixation of neural tissues for electron microscopy by perfusion with solutions of osmium tetroxide. J Cell Biol. 1962;12:385–410. PubMed PMC

Papadopoulos MC, Binder DK, Verkman AS. Enhanced macromolecular diffusion in brain extracellular space in mouse models of vasogenic edema measured by cortical surface photobleaching. Faseb J. 2005;19:425–427. PubMed

Papadopoulos MC, Kim JK, Verkman AS. Extracellular space diffusion in central nervous system: anisotropic diffusion measured by elliptical surface photobleaching. Biophys J. 2005;89:3660–3668. PubMed PMC

Papadopoulos MC, Verkman AS. Aquaporin-4 gene disruption in mice reduces brain swelling and mortality in pneumococcal meningitis. J Biol Chem. 2005;280:13906–13912. PubMed

Pappenheimer JR, Renkin EM, Borrero LM. Filtration, diffusion and molecular sieving through peripheral capillary membranes a contribution to the pore theory of capillary permeability. Am J Physiol. 1951;167:13–46. PubMed

Parker KH, Winlove CP, Maroudas A. The theoretical distributions and diffusivities of small ions in chondroitin sulphate and hyaluronate. Biophys Chem. 1988;32:271–282. PubMed

Pasantes-Morales H, Schousboe A. Volume regulation in astrocytes: a role for taurine as an osmoeffector. J Neurosci Res. 1988;20:503–509. PubMed

Patlak CS, Fenstermacher JD. Measurements of dog blood-brain transfer constants by ventriculocisternal perfusion. Am J Physiol. 1975;229:877–884. PubMed

Patlak CS, Hospod FE, Trowbridge SD, Newman GC. Diffusion of radiotracers in normal and ischemic brain slices. J Cereb Blood Flow Metab. 1998;18:776–802. PubMed

Pérez-Pinzón MA, Tao L, Nicholson C. Extracellular potassium, volume fraction, and tortuosity in rat hippocampal CA1, CA3, and cortical slices during ischemia. J Neurophysiol. 1995;74:565–573. PubMed

Phillips JM, Nicholson C. Anion permeability in spreading depression investigated with ion-selective microelectrodes. Brain Res. 1979;173:567–571. PubMed

Piet R, Vargová L, Syková E, Poulain DA, Oliet SH. Physiological contribution of the astrocytic environment of neurons to intersynaptic crosstalk. Proc Natl Acad Sci USA. 2004;101:2151–2155. PubMed PMC

Pluen A, Boucher Y, Ramanujan S, McKee TD, Gohongi T, diTomaso E, Brown EB, Izumi Y, Campbell RB, Berk DA, Jain RK. Role of tumor-host interactions in interstitial diffusion of macromolecules: Cranial vs. subcutaneous tumors. Proc Natl Acad Sci USA. 2001;98:4628–4633. PubMed PMC

Pluen A, Metti PA, Jain RK, Berk DA. Diffusion of macromolecules in agarose gels: Comparison of linear and globular configurations. Biophys J. 1999;77:542–552. PubMed PMC

Polson A. Some aspects of diffusion in solution and a definition of a colloidal particle. J Phys Chem. 1950;54:649–652.

Preston BN, Laurent TC, Comper WD. Transport of molecules in connective tissue polysaccharide solutions. In: Arnott S, Rees DA, Morris ER, editors. Molecular Biophysics of the Extracellular Matrix. Humana Press; Clifton, New Jersey: 1983. pp. 119–162.

Proescholdt MG, Hutto B, Brady LS, Herkenham M. Studies of cerebrospinal fluid flow and penetration into brain following lateral ventricle and cisterna magna injections of the tracer [14C]inulin in rat. Neurosci. 2000;95:577–592. PubMed

Prokopová Š, Vargová L, Syková E. Heterogeneous and anisotropic diffusion in the developing rat spinal cord. Neuroreport. 1997;8:3527–3532. PubMed

Prokopová-Kubinová Š, Syková E. Extracellular diffusion parameters in spinal cord and filum terminale of the frog. J Neurosci Res. 2000;62:530–538. PubMed

Prokopová-Kubinová Š, Vargová L, Tao L, Ulbrich K, Šubr V, Syková E, Nicholson C. Poly[N-(2-hydroxypropyl)methacrylamide] polymers diffuse in brain extracellular space with same tortuosity as small molecules. Biophys J. 2001;80:542–548. PubMed PMC

Pysh JJ. The development of the extracellular space in neonatal rat inferior colliculus: An electron microscopic study. Am J Anat. 1969;124:411–429. PubMed

Quirk JD, Bretthorst GL, Duong TQ, Snyder AZ, Springer CS, Jr., Ackerman JJ, Neil JJ. Equilibrium water exchange between the intra- and extracellular spaces of mammalian brain. Magn Reson Med. 2003;50:493–499. PubMed

Rall DP, Oppelt WW, Patlak CS. Extracellular space of brain as determined by diffusion of inulin from the ventricular system. Life Sci. 1962;2:43–48.

Ranck JB., Jr Analysis of specific impedance of rabbit cerebral cortex. Exp Neurol. 1963;7:153–174. PubMed

Rapoport SI. A mathematical model for vasogenic brain edema. J Theoret Biol. 1978;74:439–467. PubMed

Rees S, Cragg BG, Everitt AV. Comparison of extracellular space in the mature and ageing rat brain using a new technique. J Neurol Sci. 1982;53:347–357. PubMed

Reese TS, Karnovsky MJ. Fine structural localization of a blood-brain barrier to exogenous peroxidase. J Cell Biol. 1967;34:207–217. PubMed PMC

Reichenbach A. Glial K+ permeability and CNS K+ clearance by diffusion and spatial buffering. Ann NY Acad Sci. 1991;633:272–286. PubMed

Reichenbach A, Hagen E, Schippel K, Eberhardt W. Quantitative electron microscopy of rabbit Müller (glial) cells in dependence on retinal topography. Z mikrosk-anat Forsch Leipzig. 1988;102:721–755. PubMed

Rennels ML, Gregory TF, Blaumanis OR, Fujimoto K, Grady PA. Evidence for a ‘paravascular’ fluid circulation in the mammalian central nervous system, provided by the rapid distribution of tracer protein throughout the brain from the subarachnoid space. Brain Res. 1985;326:47–63. PubMed

Reum T, Olshausen F, Mazel T, Voříšek I, Morgenstern R, Syková E. Diffusion parameters in the striatum of rats with 6-hydroxydopamine-induced lesions and with fetal mesencephalic grafts. J Neurosci Res. 2002;70:680–693. PubMed

Rhodes KE, Fawcett JW. Chondroitin sulphate proteoglycans: preventing plasticity or protecting the CNS? J Anat. 2004;204:33–48. PubMed PMC

Rice ME, Gerhardt GA, Hierl PM, Nagy G, Adams RN. Diffusion coefficients of neurotransmitters and their metabolites in brain extracellular fluid space. Neurosci. 1985;15:891–902. PubMed

Rice ME, Okada YC, Nicholson C. Anisotropic and heterogeneous diffusion in the turtle cerebellum: Implications for volume transmission. J Neurophysiol. 1993;70:2035–2044. PubMed

Rice M, Nicholson C. Serotonin migration in the neuronal microenvironment. Ann NY Acad Sci. 1986;481:381–382. PubMed

Rice ME, Nicholson C. Measurement of nanomolar dopamine diffusion using low-noise perfluorinated ionomer coated carbon fiber microelectrodes and high-speed cyclic voltammetry. Anal Chem. 1989;61:1805–1810. PubMed

Rice ME, Nicholson C. Diffusion characteristics and extracellular volume fraction during normoxia and hypoxia in slices of rat neostriatum. J Neurophysiol. 1991;65:264–272. PubMed

Rice ME, Nicholson C. Diffusion and ion shifts in the brain extracellular microenvironment and their relvance for voltammetric measurements. In: Boulton AA, Baker GB, Adams RN, editors. Voltammetric Methods in Brain Systems. Neuromethods 27. Humana; Totowa, NJ: 1995. pp. 27–79.

Roitbak T, Syková E. Diffusion barriers evoked in the rat cortex by reactive astrogliosis. Glia. 1999;28:40–48. PubMed

Rosenberg GA, Kyner WT, Estrada E. Bulk flow of brain interstitial fluid under normal and hyperosmolar conditions. Am J Physiol. 1980;238:F42–F49. PubMed

Rubinow SI. Introduction to Mathematical Biology. Wiley; New York: 1975.

Ruoslahti E. Brain extracellular matrix. Glycobiology. 1996;6:489–492. PubMed

Rusakov DA, Fine A. Extracellular Ca2+ depletion contributes to fast activity-dependent modulation of synaptic transmission in the brain. Neuron. 2003;37:287–297. PubMed PMC

Rusakov DA, Kullmann DM. Geometric and viscous components of the tortuosity of the extracellular space in the brain. Proc Natl Acad Sci USA. 1998;95:8975–8980. PubMed PMC

Rusakov DA, Saitow F, Lehre KP, Konishi S. Modulation of presynaptic Ca2+ entry by AMPA receptors at individual GABAergic synapses in the cerebellum. J Neurosci. 2005;25:4930–4940. PubMed PMC

Safford RE, Bassingthwaighte JB. Calcium diffusion in transient and steady states in muscle. Biophys J. 1977;20:113–136. PubMed PMC

Saltzman WM. Drug Delivery: Engineering Principles for Drug Therapy. Oxford University Press; New York: 2001.

Saltzman WM, Radomsky ML, Whaley KJ, Cone RA. Antibody diffusion in human cervical mucus. Biophys J. 1994;66:508–515. PubMed PMC

Sanchez RM, Jensen FE. Maturational aspects of epilepsy mechanisms and consequences for the immature brain. Epilepsia. 2001;42:577–585. PubMed

Sarntinoranont M, Chen X, Zhao J, Mareci TH. Computational model of interstitial transport in the spinal cord using diffusion tensor imaging. Ann Biomed Eng. 2006;34:1304–1321. PubMed

Savtchenko LP, Rusakov DA. Extracellular diffusivity determines contribution of high-versus low-affinity receptors to neural signaling. Neuroimage. 2005;25:101–111. PubMed

Schantz EJ, Lauffer MA. Diffusion measurements in agar gel. Biochem. 1962;1:658–663. PubMed

Schlageter KE, Molnar P, Lapin GD, Groothuis DR. Microvessel organization and structure in experimental brain tumors: microvessel populations with distinctive structural and functional properties. Microvasc Res. 1999;58:312–328. PubMed

Schmitt FO. Molecular regulators of brain functioning: a new view. Neurosci. 1984;13:991–1001. PubMed

Schmitt FO, Samson FE. The brain cell microenvironment. Neurosci Res Prog Bull. 1969;7:277–417.

Schwindt W, Nicholson C, Lehmenkühler A. Critical volume of rat cortex and extracellular threshold concentration for a pentylenetetrazol-induced epileptic focus. Brain Res. 1997;753:86–97. PubMed

Sem'yanov AV. Diffusional extrasynaptic neurotransmission via glutamate and GABA. Neurosci Behav Physiol. 2005;35:253–266. PubMed

Sen PN, Basser PJ. A model for diffusion in white matter in the brain. Biophys J. 2005;89:2927–2938. PubMed PMC

Šimonová Z, Svoboda J, Orkand P, Bernard CCA, Lassmann H, Syková E. Changes of extracellular space volume and tortuosity in the spinal cord of Lewis rats with experimental autoimmune encephalomyelitis. Physiol Res. 1996;45:11–22. PubMed

Slais K, Voříšek I, Zoremba N, Homola A, Dmytrenko L, Syková E. Brain metabolism and diffusion in the rat cerebral cortex during pilocarpine-induced status epilepticus. Exp Neurol. 2008;209:145–154. PubMed

Sobeih MM, Corfas G. Extracellular factors that regulate neuronal migration in the central nervous system. Int J Dev Neurosci. 2002;20:349–357. PubMed

Somjen GG. Ions in the Brain. Normal Function, Seizures, and Stroke. Oxford University Press; New York: 2004.

Stanfield PR. Tetraethylammonium ions and the potassium permeability of excitable cells. Rev Physiol Biochem Pharmacol. 1983;97:1–67. PubMed

Stejskal EO, Tanner JE. Spin diffusion measurements: Spin echoes in the presence of a time-dependent field gradient. J Chem Phys. 1965;42:288–292.

Stiles JR, Bartol TM. Monte Carlo methods for simulating realistic synaptic microphysiology using MCell. In: De Schutter E, editor. Computational Neuroscience: Realistic Modeling for Experimentalists. CRC Press; London: 2001. pp. 87–127.

Stroh M, Saltzman WM. Diffusion measurements for drug design. Author's response. Nat Mater. 2005;4:714. PubMed

Stroh M, Zipfel WR, Williams RM, Ma SC, Webb WW, Saltzman WM. Multiphoton microscopy guides neurotrophin modification with poly(ethylene glycol) to enhance interstitial diffusion. Nat Mater. 2004;3:489–494. PubMed

Stroh M, Zipfel WR, Williams RM, Webb WW, Saltzman WM. Diffusion of nerve growth factor in rat striatum as determined by multiphoton microscopy. Biophys J. 2003;85:581–588. PubMed PMC

Sturchler-Pierrat C, Abramowski D, Duke M, Wiederhold KH, Mistl C, Rothacher S, Ledermann B, Burki K, Frey P, Paganetti PA, Waridel C, Calhoun ME, Jucker M, Probst A, Staufenbiel M, Sommer B. Two amyloid precursor protein transgenic mouse models with Alzheimer disease-like pathology. Proc Natl Acad Sci USA. 1997;94:13287–13292. PubMed PMC

Svoboda J, Syková E. Extracellular space volume changes in the rat spinal cord produced by nerve stimulation and peripheral injury. Brain Res. 1991;560:216–224. PubMed

Syková E. Extracellular K+ accumulation in the central nervous system. Prog Biophys Molec Biol. 1983;42:135–189. PubMed

Syková E. Modulation of spinal cord transmission by changes in extracellular K+ activity and extracellular volume. Can J Physiol Pharmacol. 1987;65:1058–1066. PubMed

Syková E. Ion-selective electrodes. In: Stamford J, editor. Monitoring Neuronal Activity: A Practical Approach. Oxford University Press; New York: 1992. pp. 261–282.

Syková E. The extracellular space in the CNS: its regulation, volume and geometry in normal and pathological neuronal function. The Neuroscientist. 1997;3:28–41.

Syková E. Extracellular space volume and geometry of the rat brain after ischemia and central injury. Adv Neurol. 1997;73:121–135. PubMed

Syková E. Glial diffusion barriers during aging and pathological states. Prog Brain Res. 2001;132:339–363. PubMed

Syková E. Diffusion parameters of the extracellular space. Israel J Chem. 2003;43:55–69.

Syková E. Diffusion properties of the brain in health and disease. Neurochem Int. 2004;45:453–466. PubMed

Syková E. Extrasynaptic volume transmission and diffusion parameters of the extracellular space. Neurosci. 2004;129:861–876. PubMed

Syková E, Fiala J, Antonova T, Voříšek I. Extracellular space volume changes and diffusion barriers in rats with kaolin-induced and inherited hydrocephalus. Eur J Pediatr Surg. 2001;11(Suppl 1):S34–S37. PubMed

Syková E, Hník P, Vyklický L. Ion-Selective Microelectrodes and Their Use in Excitable Tissues. Plenum; New York: 1981.

Syková E, Mazel T, Hasenohrl RU, Harvey AR, Šimonová Z, Mulders WHAM, Huston JP. Learning deficits in aged rats related to decrease in extracellular volume and loss of diffusion anisotropy in hippocampus. Hippocampus. 2002;12:269–279. PubMed

Syková E, Mazel T, Šimonová Z. Diffusion constraints and neuron-glia interaction during aging. Exp Gerontol. 1998;33:837–851. PubMed

Syková E, Roitbak T, Mazel T, Šimonová Z, Harvey AR. Astrocytes, oligodendroglia, extracellular space volume and geometry in rat fetal brain grafts. Neurosci. 1999;91:783–798. PubMed

Syková E, Svoboda J. Extracellular alkaline-acid-alkaline transients in the rat spinal cord evoked by peripheral stimulation. Brain Res. 1990;512:181–189. PubMed

Syková E, Svoboda J, Polák J, Chvátal A. Extracellular volume fraction and diffusion characteristics during progressive ischemia and terminal anoxia in the spinal cord of the rat. J Cereb Blood Flow Metab. 1994;14:301–311. PubMed

Syková E, Svoboda J, Šimonová Z, Lehmenkühler A, Lassmann H. X-irradiation-induced changes in the diffusion parameters of the developing rat brain. Neurosci. 1996;70:597–612. PubMed

Syková E, Vargová L, Kubinová S, Jendelová P, Chvátal A. The relationship between changes in intrinsic optical signals and cell swelling in rat spinal cord slices. Neuroimage. 2003;18:214–230. PubMed

Syková E, Vargová L, Prokopová, Šimonová Z. Glial swelling and astrogliosis produce diffusion barriers in the rat spinal cord. Glia. 1999;25:56–70. PubMed

Syková E, Voříšek I, Antonova T, Mazel T, Meyer-Luehmann M, Jucker M, Hajek M, Or M, Bureš J. Changes in extracellular space size and geometry in APP23 transgenic mice: A model of Alzheimer's disease. Proc Natl Acad Sci USA. 2005;102:479–484. PubMed PMC

Syková E, Voříšek I, Mazel T, Antonova T, Schachner M. Reduced extracellular space in the brain of tenascin-R- and HNK-1-sulphotransferase deficient mice. Eur J Neurosci. 2005;22:1873–1880. PubMed

Szafer A, Zhong J, Gore JC. Theoretical model for water diffusion in tissues. Mag Res Med. 1995;33:697–712. PubMed

Szentistvanyi I, Patlak CS, Ellis RA, Cserr HF. Drainage of interstitial fluid from different regions of rat brain. Am J Physiol. 1984;246:F835–844. PubMed

Taipale J, Keski-Oja J. Growth factors in the extracellular matrix. Faseb J. 1997;11:51–59. PubMed

Tao L. Effects of osmotic stress on dextran diffusion in rat neocortex studied with integrative optical imaging. J Neurophysiol. 1999;81:2501–2507. PubMed

Tao L. Light scattering in brain slices measured with a photon counting fiber optic system. J Neurosci Meth. 2000;101:19–29. PubMed

Tao L, Masri D, Hrabětová S, Nicholson C. Light scattering in rat neocortical slices differs during spreading depression and ischemia. Brain Res. 2002;952:290–300. PubMed

Tao L, Nicholson C. The three-dimensional point spread functions of a microscope objective in image and object space. J Micros - Oxford. 1995;178:267–271. PubMed

Tao L, Nicholson C. Diffusion of albumins in rat cortical slices and relevance to volume transmission. Neurosci. 1996;75:839–847. PubMed

Tao L, Nicholson C. Maximum geometrical hindrance to diffusion in brain extracellular space surrounding uniformly spaced convex cells. J Theoret Biol. 2004;229:59–68. PubMed

Tao A, Tao L, Nicholson C. Cell cavities increase tortuosity in brain extracellular space. J Theoret Biol. 2005;234:525–536. PubMed

Theodosis DT, Pierre K, Cadoret MA, Allard M, Faissner A, Poulain DA. Expression of high levels of the extracellular matrix glycoprotein, tenascin-C, in the normal adult hypothalamoneurohypophysial system. J Comp Neurol. 1997;379:386–398. PubMed

Theodosis DT, Poulain DA. Activity-dependent neuronal-glial and synaptic plasticity in the adult mammalian hypothalamus. Neurosci. 1993;57:501–535. PubMed

Thiagarajah JR, Kim JK, Magzoub M, Verkman AS. Slowed diffusion in tumors revealed by microfiberoptic epifluorescence photobleaching. Nat Meth. 2006;3:275–280. PubMed

Thoenen H, Barde YA. Physiology of nerve growth factor. Physiol Rev. 1980;60:1284–1335. PubMed

Thomas LB, Steindler DA. Glial boundaries and scars: programs for normal development and wound healing in the brain. The Neuroscientist. 1995;1:142–154.

Thorne RG, Frey WH., 2nd Delivery of neurotrophic factors to the central nervous system: pharmacokinetic considerations. Clin Pharmacokinet. 2001;40:907–946. PubMed

Thorne RG, Hrabětová S, Nicholson C. Diffusion of epidermal growth factor in rat brain extracellular space measured by integrative optical imaging. J Neurophysiol. 2004;92:3471–3481. PubMed

Thorne RG, Hrabětová S, Nicholson C. Diffusion measurements for drug design. Correspondance. Nat Mater. 2005;4:713. PubMed

Thorne RG, Nicholson C. Transferrin diffusion in brain extracellular space measured by in vivo integrative optical imaging.. 2007 Neuroscience Meeting Planner.; San Diego, CA: Society for Neuroscience. 2007. Online. Program No. 200.7.

Thorne RG, Nicholson C. In vivo diffusion analysis with quantum dots and dextrans predicts the width of brain extracellular space. Proc Natl Acad Sci USA. 2006;103:5567–5572. PubMed PMC

Torquato S. Random Heterogeneous Material. Microstructure and Macroscopic Properties. Springer; New York: 2002.

Traynelis SF, Dingledine R. Role of extracellular space in hyperosmotic suppression of potassium-induced electrographic seizures. J Neurophysiol. 1989;61:927–938. PubMed

Tuch DS, Wedeen VJ, Dale AM, George JS, Belliveau JW. Conductivity tensor mapping of the human brain using diffusion tensor MRI. Proc Natl Acad Sci USA. 2001;98:11697–11701. PubMed PMC

Ulbrich K, Pechar M, Strohalm J, Šubr V, Říhová B. Synthesis of biodegradable polymers for controlled drug release. Ann NY Acad Sci. 1997;831:47–56. PubMed

Ungerstedt U. 6-Hydroxy-dopamine induced degeneration of central monoamine neurons. Eur J Pharmacol. 1968;5:107–110. PubMed

van der Toorn A, Syková E, Dijkhuisen RM, Voříšek I, Vargová L, Škobisová E, van Lookeren Campagne M, Reese T, Nicolay K. Dynamic changes in water ADC, energy metabolism, extracellular space volume, and tortuosity in neonatal rat brain during global ischemia. Mag Res Med. 1996;36:52–60. PubMed

Van Harreveld A. The extracellular space in the vertebrate central nervous system. In: Bourne GH, editor. The Structure and Function of Nervous Tissue. IV. Academic Press; New York: 1972. pp. 447–511.

Van Harreveld A, Crowell J, Malhotra SK. A study of extracellular space in central nervous tissue by freeze-substitution. J Cell Biol. 1965;25:117–137. PubMed PMC

van Horne C, Hoffer BJ, Strömberg I, Gerhardt GA. Clearance and diffusion of locally applied dopamine in normal and 6-hydroxydopamine-lesioned rat striatum. J Pharmacol Exp Therapeut. 1992;263:1285–1292. PubMed

Vargová L, Chvátal A, Anděrová M, Kubinová S, Žiak D, Syková E. Effect of osmotic stress on potassium accumulation around glial cells and extracellular space volume in rat spinal cord slices. J Neurosci Res. 2001;65:129–138. PubMed

Vargová L, Homola A, Zámečník J, Tichý M, Beneš V, Syková E. Diffusion parameters of the extracellular space in human gliomas. Glia. 2003;42:77–88. PubMed

Vargová L, Jendelová P, Chvátal A, Syková E. Glutamate, NMDA, and AMPA induced changes in extracellular space volume and tortuosity in the rat spinal cord. J Cereb Blood Flow Metab. 2001;21:1077–1089. PubMed

Villegas GM, Fernández J. Permeability to thorium dioxide of the intercellular spaces of the frog cerebral hemisphere. Exp Neurol. 1966;15:18–36. PubMed

Vizi ES. Role of high-affinity receptors and membrane transporters in nonsynaptic communication and drug action in the central nervous system. Pharmacol Rev. 2000;52:63–89. PubMed

Vizi ES, Kiss JP, Lendvai B. Nonsynaptic communication in the central nervous system. Neurochem Int. 2004;45:443–451. PubMed

Volterra A, Meldolesi J. Astrocytes, from brain glue to communication elements: the revolution continues. Nat Rev Neurosci. 2005;6:626–640. PubMed

Voříšek I, Hájek M, Tintěra J, Nicolay K, Syková E. Water ADC, extracellular space volume, and tortuosity in the rat cortex after traumatic injury. Mag Res Med. 2002;48:994–1003. PubMed

Voříšek I, Syková E. Ischemia-induced changes in the extracellular space diffusion parameters, K+, and pH in the developing rat cortex and corpus callosum. J Cereb Blood Flow Metab. 1997;17:191–203. PubMed

Voříšek I, Syková E. Evolution of anisotropic diffusion in the developing rat corpus callosum. J Neurophysiol. 1997;78:912–919. PubMed

Weissberg HL. Effective diffusion coefficient in porous media. J App Phys. 1963;14:2636–2639.

Weller RO, Kida S, Zhang E-N. Pathways of fluid drainage from the brain - morphological aspects and immunological significance in rat and man. Brain Pathol. 1992;2:277–284. PubMed

Wightman RM, Zimmerman JB. Control of dopamine extracellular concentration in rat striatum by impulse flow and uptake. Brain Res Rev. 1990;15:135–144. PubMed

Witkovsky P, Nicholson C, Rice ME, Bohmaker K, Meller E. Extracellular dopamine concentration in the retina of the clawed frog, xenopus-laevis. Proc Natl Acad Sci USA. 1993;90:5667–5671. PubMed PMC

Wright JW, Kramar EA, Meighan SE, Harding JW. Extracellular matrix molecules, long-term potentiation, memory consolidation and the brain angiotensin system. Peptides. 2002;23:221–246. PubMed

Wykoff RWG, Young JZ. The motor-neuron surface. Proc Royal Soc London B. 1956;144:440–450. PubMed

Xiao F, Nicholson C, Hrabětová S. Anisotropic diffusion of flexible random-coil polymers measured in brain extracellular space by integrative optical imaging. Diffusion Fundamentals. 2007. pp. 83.1–83.2. ( www.diffusion-online.org) PubMed PMC

Xin Q, Wightman RM. Transport of choline in rat brain slices. Brain Res. 1997;776:126–132. PubMed

Yamada S, DePasquale M, Patlak CS, Cserr HF. Albumin outflow into deep cervical lymph from different regions of rabbit brain. Am J Physiol. 1991;261:H1197–1204. PubMed

Yamada M, Ikeuchi T, Hatanaka H. The neurotrophic action and signalling of epidermal growth factor. Prog Neurobiol. 1997;51:19–37. PubMed

Yamaguchi Y. Lecticans: organizers of the brain extracellular matrix. Cell Mol Life Sci. 2000;57:276–289. PubMed PMC

Yang P, Yin X, Rutishauser U. Intercellular space is affected by the polysialic acid content of NCAM. J Cell Biol. 1992;116:1487–1496. PubMed PMC

Young JZ. The Anatomy of the Nervous System of Octopus vulgaris. Clarendon Press; Oxford: 1971.

Zacharia IG, Deen WM. Diffusivity and solubility of nitric oxide in water and saline. Ann Biomed Eng. 2005;33:214–222. PubMed

Zador Z, Magzoub M, Jin S, Manley GT, Papadopoulos MC, Verkman AS. Microfiberoptic fluorescence photobleaching reveals size-dependent macromolecule diffusion in extracellular space deep in brain. Faseb J. 2008;22:870–879. PubMed

Zámečník J. The extracellular space and matrix of gliomas. Acta Neuropathol. 2005;110:435–442. PubMed

Zámečník J, Vargová L, Homola A, Kodet R, Syková E. Extracellular matrix glycoproteins and diffusion barriers in human astrocytic tumours. Neuropathol App Neurobiol. 2004;30:338–350. PubMed

Zhang J, van Zijl PC, Mori S. Three-dimensional diffusion tensor magnetic resonance microimaging of adult mouse brain and hippocampus. Neuroimage. 2002;15:892–901. PubMed

Zigmond MJ, Hastings TG, Abercrombie ED. Neurochemical responses to 6-hydroxydopamine and L-dopa therapy: Implications for Parkinson's disease. Ann NY Acad Sci. 1992;648:71–86. PubMed

Zoli M, Jansson A, Syková E, Agnati LF, Fuxe K. Volume transmission in the CNS and its relevance for neuropsychopharmacology. Trends Pharmacol Sci. 1999;20:142–150. PubMed

Zoremba N, Homola A, Rossaint R, Syková E. Brain metabolism and extracellular space diffusion parameters during and after transient global hypoxia in the rat cortex. Exp Neurol. 2007;203:34–41. PubMed

Zuber B, Nikonenko I, Klauser P, Muller D, Dubochet J. The mammalian central nervous synaptic cleft contains a high density of periodically organized complexes. Proc Natl Acad Sci USA. 2005;102:19192–19197. PubMed PMC

Nejnovějších 20 citací...

Zobrazit více v
Medvik | PubMed

Disruption of Extracellular Matrix and Perineuronal Nets Modulates Extracellular Space Volume and Geometry

. 2025 Feb 19 ; 45 (8) : . [epub] 20250219

ALS-like pathology diminishes swelling of spinal astrocytes in the SOD1 animal model

. 2024 ; 18 () : 1472374. [epub] 20241010

Evaluation of blood-brain barrier integrity by the analysis of dynamic contrast-enhanced MRI - a comparison of quantitative and semi-quantitative methods

. 2022 Dec 31 ; 71 (S2) : S259-S275.

The absence of AQP4/TRPV4 complex substantially reduces acute cytotoxic edema following ischemic injury

. 2022 ; 16 () : 1054919. [epub] 20221208

Exploring the role of nanomedicines for the therapeutic approach of central nervous system dysfunction: At a glance

. 2022 ; 10 () : 989471. [epub] 20220902

Brain Fluid Channels for Metabolite Removal

. 2022 Apr 30 ; 71 (2) : 199-208. [epub] 20220328

Compromised Astrocyte Swelling/Volume Regulation in the Hippocampus of the Triple Transgenic Mouse Model of Alzheimer's Disease

. 2021 ; 13 () : 783120. [epub] 20220127

Chronic alcohol consumption alters extracellular space geometry and transmitter diffusion in the brain

. 2020 Jun ; 6 (26) : eaba0154. [epub] 20200624

The Effect of Hapln4 Link Protein Deficiency on Extracellular Space Diffusion Parameters and Perineuronal Nets in the Auditory System During Aging

. 2020 Jan ; 45 (1) : 68-82. [epub] 20191029

Diffusion tensor and restriction spectrum imaging reflect different aspects of neurodegeneration in Parkinson's disease

. 2019 ; 14 (5) : e0217922. [epub] 20190531

The Effect of iPS-Derived Neural Progenitors Seeded on Laminin-Coated pHEMA-MOETACl Hydrogel with Dual Porosity in a Rat Model of Chronic Spinal Cord Injury

. 2019 Apr ; 28 (4) : 400-412. [epub] 20190118

Astrocytes and extracellular matrix in extrasynaptic volume transmission

The impact of alpha-syntrophin deletion on the changes in tissue structure and extracellular diffusion associated with cell swelling under physiological and pathological conditions

. 2013 ; 8 (7) : e68044. [epub] 20130705

Cell death/proliferation and alterations in glial morphology contribute to changes in diffusivity in the rat hippocampus after hypoxia-ischemia

. 2011 Mar ; 31 (3) : 894-907. [epub] 20100929

Najít záznam

Citační ukazatele

Nahrávání dat ...

Možnosti archivace

Nahrávání dat ...