Brain extracellular space as a diffusion barrier

The extracellular space (ECS) consists of the narrow channels between brain cells together with their geometrical configuration and contents. Despite being only 20–60 nm in width, the ECS typically occupies 20% of the brain volume. Numerous experiments over the last 50 years have established that molecules moving through the ECS obey the laws of diffusion but with an effective diffusion coefficient reduced by a factor of about 2.6 compared to free diffusion. This review considers the origins of the diffusion barrier arising from the ECS and its properties. The paper presents a brief overview of software for implementing two point-source paradigms for measurements of localized diffusion properties: the real-time iontophoresis or pressure method for small ions and the integrative optical imaging method for macromolecules. Selected results are presented. This is followed by a discussion of the application of the MCell Monte Carlo simulation program to determining the importance of geometrical constraints, especially dead-space microdomains, and the possible role of interaction with the extracellular matrix. It is concluded that we can predict the impediment to diffusion of many molecules of practical importance and also use studies of the diffusion of selected molecular probes to reveal the barrier properties of the ECS.

[1]  Karel Segeth,et al.  A model of effective diffusion and tortuosity in the extracellular space of the brain. , 2004, Biophysical journal.

[2]  C. Nicholson,et al.  Poly[N-(2-hydroxypropyl)methacrylamide] polymers diffuse in brain extracellular space with same tortuosity as small molecules. , 2001, Biophysical journal.

[3]  Joel R. Stiles,et al.  Miniature Endplate Current Rise Times <100 mu s from Improved Dual Recordings Can be Modeled with Passive Acetylcholine Diffusion from a Synaptic Vesicle , 1996 .

[4]  C. Nicholson,et al.  Diffusion of epidermal growth factor in rat brain extracellular space measured by integrative optical imaging. , 2004, Journal of neurophysiology.

[5]  C. Nicholson,et al.  Measurement of nanomolar dopamine diffusion using low-noise perfluorinated ionomer coated carbon fiber microelectrodes and high-speed cyclic voltammetry. , 1989, Analytical chemistry.

[6]  John Crank,et al.  The Mathematics Of Diffusion , 1956 .

[7]  J Fenstermacher,et al.  Drug “Diffusion” within the Brain a , 1988, Annals of the New York Academy of Sciences.

[8]  C. Nicholson,et al.  Maximum geometrical hindrance to diffusion in brain extracellular space surrounding uniformly spaced convex cells. , 2004, Journal of theoretical biology.

[9]  C. Nicholson,et al.  Extracellular space structure revealed by diffusion analysis , 1998, Trends in Neurosciences.

[10]  C. Nicholson,et al.  Ion diffusion modified by tortuosity and volume fraction in the extracellular microenvironment of the rat cerebellum. , 1981, The Journal of physiology.

[11]  C. Nicholson,et al.  The three‐dimensional point spread functions of a microscope objective in image and object space , 1995, Journal of microscopy.

[12]  C. Nicholson,et al.  Characterizing molecular probes for diffusion measurements in the brain , 2008, Journal of Neuroscience Methods.

[13]  Charles Nicholson,et al.  Ion-selective microelectrodes and diffusion measurements as tools to explore the brain cell microenvironment , 1993, Journal of Neuroscience Methods.

[14]  C. Nicholson,et al.  Changes in brain cell shape create residual extracellular space volume and explain tortuosity behavior during osmotic challenge. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[15]  C. Nicholson,et al.  Contribution of dead-space microdomains to tortuosity of brain extracellular space , 2004, Neurochemistry International.

[16]  T. Bartol,et al.  Miniature endplate current rise times less than 100 microseconds from improved dual recordings can be modeled with passive acetylcholine diffusion from a synaptic vesicle. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[17]  A. Michael,et al.  Electrochemical Methods for Neuroscience , 2006 .

[18]  P F Morrison,et al.  Convection-enhanced delivery of macromolecules in the brain. , 1994, Proceedings of the National Academy of Sciences of the United States of America.

[19]  T. Bartol,et al.  Monte Carlo Methods for Simulating Realistic Synaptic Microphysiology Using MCell , 2000 .

[20]  C. Nicholson,et al.  Biophysical Properties of Brain Extracellular Space Explored with Ion-Selective Microelectrodes, Integrative Optical Imaging and Related Techniques , 2007 .

[21]  Borland Lm,et al.  Biophysical Properties of Brain Extracellular Space Explored with Ion-Selective Microelectrodes, Integrative Optical Imaging and Related Techniques -- Electrochemical Methods for Neuroscience , 2007 .

[22]  J. D. Wells,et al.  On the transport of compact particles through solutions of chain-polymers , 1973, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[23]  T. Mazel,et al.  Effect of elevated K+, hypotonic stress, and cortical spreading depression on astrocyte swelling in GFAP‐deficient mice , 2001, Glia.

[24]  C. Nicholson,et al.  Diffusion in brain extracellular space. , 2008, Physiological reviews.

[25]  C. Nicholson,et al.  Hindered diffusion of high molecular weight compounds in brain extracellular microenvironment measured with integrative optical imaging. , 1993, Biophysical journal.

[26]  A. Imberty,et al.  Conformational behavior of chondroitin and chondroitin sulfate in relation to their physical properties as inferred by molecular modeling , 2003, Biopolymers.

[27]  C. Nicholson,et al.  Diffusion of albumins in rat cortical slices and relevance to volume transmission , 1996, Neuroscience.

[28]  C. Nicholson,et al.  Anisotropic and heterogeneous diffusion in the turtle cerebellum: implications for volume transmission. , 1993, Journal of neurophysiology.

[29]  C. Nicholson,et al.  In vivo diffusion of lactoferrin in brain extracellular space is regulated by interactions with heparan sulfate , 2008, Proceedings of the National Academy of Sciences.

[30]  G. Barton The Mathematics of Diffusion 2nd edn , 1975 .

[31]  Erik De Schutter,et al.  Computational neuroscience : realistic modeling for experimentalists , 2000 .

[32]  Charles Nicholson,et al.  Diffusion of flexible random-coil dextran polymers measured in anisotropic brain extracellular space by integrative optical imaging. , 2008, Biophysical journal.

[33]  Charles Nicholson,et al.  Calcium diffusion enhanced after cleavage of negatively charged components of brain extracellular matrix by chondroitinase ABC , 2009, The Journal of physiology.

[34]  Y. Yamaguchi,et al.  Lecticans: organizers of the brain extracellular matrix , 2000, Cellular and Molecular Life Sciences CMLS.

[35]  R. Siegel,et al.  A new Monte Carlo approach to diffusion in constricted porous geometries , 1986 .

[36]  Charles Nicholson,et al.  Diffusion and related transport mechanisms in brain tissue , 2001 .

[37]  C. Nicholson,et al.  Dead-Space Microdomains Hinder Extracellular Diffusion in Rat Neocortex during Ischemia , 2003, The Journal of Neuroscience.

[38]  C. P. Winlove,et al.  The theoretical distributions and diffusivities of small ions in chondroitin sulphate and hyaluronate. , 1988, Biophysical chemistry.

[39]  Charles Nicholson,et al.  In vivo diffusion analysis with quantum dots and dextrans predicts the width of brain extracellular space. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[40]  W. A. Klikoff,et al.  NON-STEADY-STATE FLUID FLOW AND DIFFUSION IN POROUS MEDIA CONTAINING DEAD-END PORE VOLUME1 , 1960 .

[41]  C. Nicholson,et al.  Cell cavities increase tortuosity in brain extracellular space. , 2005, Journal of theoretical biology.