Extracellular sheets and tunnels modulate glutamate diffusion in hippocampal neuropil

Although the extracellular space in the neuropil of the brain is an important channel for volume communication between cells and has other important functions, its morphology on the micron scale has not been analyzed quantitatively owing to experimental limitations. We used manual and computational techniques to reconstruct the 3D geometry of 180 μm3 of rat CA1 hippocampal neuropil from serial electron microscopy and corrected for tissue shrinkage to reflect the in vivo state. The reconstruction revealed an interconnected network of 40–80 nm diameter tunnels, formed at the junction of three or more cellular processes, spanned by sheets between pairs of cell surfaces with 10–40 nm width. The tunnels tended to occur around synapses and axons, and the sheets were enriched around astrocytes. Monte Carlo simulations of diffusion within the reconstructed neuropil demonstrate that the rate of diffusion of neurotransmitter and other small molecules was slower in sheets than in tunnels. Thus, the non‐uniformity found in the extracellular space may have specialized functions for signaling (sheets) and volume transmission (tunnels). J. Comp. Neurol. 521:448–464, 2013. © 2012 Wiley Periodicals, Inc.

[1]  Tosiyasu L. Kunii,et al.  Shape Modeling and Shape Analysis Based on Singularities , 1996, Int. J. Shape Model..

[2]  L. M. Wahl,et al.  Monte Carlo simulation of fast excitatory synaptic transmission at a hippocampal synapse. , 1996, Journal of neurophysiology.

[3]  D. Rusakov,et al.  Receptor actions of synaptically released glutamate: the role of transporters on the scale from nanometers to microns. , 2008, Biophysical journal.

[4]  D. Prince,et al.  Extracellular potassium activity during epileptogenesis. , 1974, Experimental neurology.

[5]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.

[6]  L. G. Longsworth,et al.  Diffusion Measurements, at 25°, of Aqueous Solutions of Amino Acids, Peptides and Sugars , 1952 .

[7]  H. Hillman,et al.  Area changes in slices of rat brain during preparation for histology or electron microscopy , 1978, Journal of microscopy.

[8]  P N Steinmetz,et al.  Submyelin potassium accumulation may functionally block subsets of local axons during deep brain stimulation: a modeling study , 2008, Journal of neural engineering.

[9]  A. Sik,et al.  Activity-dependent layer-specific changes in the extracellular chloride concentration and chloride driving force in the rat hippocampus. , 2010, Journal of neurophysiology.

[10]  Harvey T. McMahon,et al.  Membrane curvature and mechanisms of dynamic cell membrane remodelling , 2005, Nature.

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

[12]  Peter Huang,et al.  Direct measurement of anisotropic near-wall hindered diffusion using total internal reflection velocimetry. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  B. Cragg,et al.  Preservation of extracellular space during fixation of the brain for electron microscopy. , 1980, Tissue & cell.

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

[15]  N. H. Diemer,et al.  Quantitative morphological studies of neuropathological changes. Part 1. , 1982, Critical reviews in toxicology.

[16]  D. Souvaine,et al.  An intuitive approach to measuring protein surface curvature , 2005, Proteins.

[17]  A. Lehninger The neuronal membrane. , 1968, Proceedings of the National Academy of Sciences of the United States of America.

[18]  D. Rusakov,et al.  Synapses in hippocampus occupy only 1–2% of cell membranes and are spaced less than half-micron apart: a quantitative ultrastructural analysis with discussion of physiological implications , 1998, Neuropharmacology.

[19]  J C Fiala,et al.  Reconstruct: a free editor for serial section microscopy , 2005, Journal of microscopy.

[20]  Scott B. Baden,et al.  Fast Monte Carlo Simulation Methods for Biological Reaction-Diffusion Systems in Solution and on Surfaces , 2008, SIAM J. Sci. Comput..

[21]  J. Diamond,et al.  Synaptically Released Glutamate Activates Extrasynaptic NMDA Receptors on Cells in the Ganglion Cell Layer of Rat Retina , 2002, The Journal of Neuroscience.

[22]  Terrence J Sejnowski,et al.  A Monte Carlo model reveals independent signaling at central glutamatergic synapses. , 2002, Biophysical journal.

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

[24]  K. Harris,et al.  Ultrastructural Analysis of Hippocampal Neuropil from the Connectomics Perspective , 2010, Neuron.

[25]  R. Quester,et al.  The shrinkage of the human brain stem during formalin fixation and embedding in paraffin , 1997, Journal of Neuroscience Methods.

[26]  Edward J. Coyle,et al.  Arbitrary Topology Shape Reconstruction from Planar Cross Sections , 1996, CVGIP Graph. Model. Image Process..

[27]  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.

[28]  A. Verkman,et al.  Extracellular space volume measured by two-color pulsed dye infusion with microfiberoptic fluorescence photodetection. , 2009, Biophysical journal.

[29]  A. van Harreveld,et al.  A STUDY OF EXTRACELLULAR SPACE IN CENTRAL NERVOUS TISSUE BY FREEZE-SUBSTITUTION , 1965, The Journal of cell biology.

[30]  J. Fiala,et al.  Synaptogenesis Via Dendritic Filopodia in Developing Hippocampal Area CA1 , 1998, The Journal of Neuroscience.

[31]  J. Rosenbluth SUBSURFACE CISTERNS AND THEIR RELATIONSHIP TO THE NEURONAL PLASMA MEMBRANE , 1962, The Journal of cell biology.

[32]  Paul Antoine Salin,et al.  Use-dependent increases in glutamate concentration activate presynaptic metabotropic glutamate receptors , 1997, Nature.

[33]  S. Saitoh,et al.  Extracellular space in mouse cerebellar cortex revealed by in vivo cryotechnique , 2007, The Journal of comparative neurology.

[34]  B. Barbour An Evaluation of Synapse Independence , 2001, The Journal of Neuroscience.

[35]  P. Roller,et al.  Formaldehyde fixation. , 1985, The journal of histochemistry and cytochemistry : official journal of the Histochemistry Society.

[36]  B W Connors,et al.  Activity-dependent shrinkage of extracellular space in rat optic nerve: a developmental study , 1985, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[37]  D. Colman,et al.  The CNS Synapse Revisited: Gaps, Adhesive Welds, and Borders , 2007, Neurochemical Research.

[38]  Chandrajit L. Bajaj,et al.  Topologically correct reconstruction of tortuous contour forests , 2010, SPM '10.

[39]  R. Llinás,et al.  Morphological artifacts induced in intracellularly stained neurons by dehydration: Circumvention using rapid dimethyl sulfoxide clearing , 1985, Neuroscience.

[40]  D. Kullmann,et al.  Extrasynaptic Glutamate Diffusion in the Hippocampus: Ultrastructural Constraints, Uptake, and Receptor Activation , 1998, The Journal of Neuroscience.

[41]  Chandrajit L. Bajaj,et al.  Identifying flat and tubular regions of a shape by unstable manifolds , 2006, SPM '06.

[42]  Peter M Haggie,et al.  In Vivo Measurement of Brain Extracellular Space Diffusion by Cortical Surface Photobleaching , 2004, The Journal of Neuroscience.

[43]  J. Bourne,et al.  Uniform Serial Sectioning for Transmission Electron Microscopy , 2006, The Journal of Neuroscience.

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

[45]  KM Harris,et al.  Dendritic spines of CA 1 pyramidal cells in the rat hippocampus: serial electron microscopy with reference to their biophysical characteristics , 1989, The Journal of neuroscience : the official journal of the Society for Neuroscience.

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

[47]  G. Palm,et al.  Density of neurons and synapses in the cerebral cortex of the mouse , 1989, The Journal of comparative neurology.

[48]  O. Castejón The Extracellular Space in the Edematous Human Cerebral Cortex: An Electron Microscopic Study Using Cortical Biopsies , 2009, Ultrastructural pathology.

[49]  G. Manley,et al.  Microfiberoptic fluorescence photobleaching reveals size‐dependent macromolecule diffusion in extracellular space deep in brain , 2008, FASEB journal : official publication of the Federation of American Societies for Experimental Biology.

[50]  A. van Harreveld,et al.  Changes in cortical extracellular space during spreading depression investigated with the electron microscope. , 1967, Journal of neurophysiology.

[51]  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.

[52]  G. Hofmeier,et al.  Transient changes in the size of the extracellular space in the sensorimotor cortex of cats in relation to stimulus-induced changes in potassium concentration , 2004, Experimental Brain Research.

[53]  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.

[54]  Thomas A. Nielsen,et al.  Modulation of Glutamate Mobility Reveals the Mechanism Underlying Slow-Rising AMPAR EPSCs and the Diffusion Coefficient in the Synaptic Cleft , 2004, Neuron.

[55]  R. Dingledine,et al.  Regional variation of extracellular space in the hippocampus. , 1990, Science.

[56]  J. Fiala,et al.  Cylindrical diameters method for calibrating section thickness in serial electron microscopy , 2001, Journal of microscopy.

[57]  J. Schultz,et al.  Hindered Diffusion in Microporous Membranes with Known Pore Geometry , 1970, Science.

[58]  F. Chazal,et al.  Stability and homotopy of a subset of the medial axis , 2004, SM '04.

[59]  K. Harris,et al.  Slices Have More Synapses than Perfusion-Fixed Hippocampus from both Young and Mature Rats , 1999, The Journal of Neuroscience.

[60]  S. Cragg,et al.  Dopamine spillover after quantal release: Rethinking dopamine transmission in the nigrostriatal pathway , 2008, Brain Research Reviews.

[61]  Justin P. Kinney,et al.  Investigation of neurotransmitter diffusion in three- dimensional reconstructions of hippocampal neuropil , 2009 .

[62]  Maryann E Martone,et al.  The combination of chemical fixation procedures with high pressure freezing and freeze substitution preserves highly labile tissue ultrastructure for electron tomography applications. , 2008, Journal of structural biology.

[63]  L. Savtchenko,et al.  Glutamate escape from a tortuous synaptic cleft of the hippocampal mossy fibre synapse , 2004, Neurochemistry International.

[64]  Edward J. Coyle,et al.  Tetrahedral meshes from planar cross-sections , 1999 .

[65]  L. Savtchenko,et al.  The optimal height of the synaptic cleft , 2007, Proceedings of the National Academy of Sciences.

[66]  K. Harris,et al.  Three-Dimensional Relationships between Hippocampal Synapses and Astrocytes , 1999, The Journal of Neuroscience.

[67]  D. Kullmann,et al.  Geometric and viscous components of the tortuosity of the extracellular space in the brain. , 1998, Proceedings of the National Academy of Sciences of the United States of America.