Faculty Bibliography

Texas Red-labelled dextran with a mol. wt of 3000 g mol-1, a marker for the extracellular space, was injected unilaterally into the neostriatum of adult rats (0.3-30 micrograms microliter-1) and its distribution evaluated 1 min to 5 h later. Diffusion in the neuropil was observed with clearance starting after 30 min. After 10-15 min strong labelling along the myelinated fibre bundles was observed in the entire neostriatum. After about 20 min the labelling along the fibres reached into the corpus callosum and the overlaying deep layers of the cerebral cortex. A marked cellular uptake and accumulation of labelled dextran was found in putative perivascular pericytes. Thus, in the living brain preferential extracellular fluid pathways for diffusion exist, especially along fibre bundles, which allow the exchange of chemical signals between two distant regions. These may represent extracellular fluid pathways for volume transmission

The three-dimensional point spread function (3-D PSF) of an optical system in image space is distinguished from the 3-D PSF in object space and the relation between the two 3-D PSFs is derived. By using this relation one 3-D PSF can be easily obtained from the other. The 3-D PSFs are given in a single integral expression, which can be computed numerically. The results of this study can be used in 3-D image processing for microscopy and have been applied to the analysis of the diffusion of fluorescent molecules in a 3-D porous medium

1. An in vitro slice model of ischemia was used to study changes in extracellular potassium concentration and diffusion properties in the stratum pyramidale of CA1 and CA3 regions of the hippocampus and in the cortex of the rat. Slices were submerged in artificial cerebrospinal fluid, and ischemia was induced by removing oxygen and glucose until anoxic depolarization occurred. 2. Extracellular potassium concentration was measured with a valinomycin-based ion-selective microelectrode. The bathing medium contained 5 mM potassium, and in vitro ischemia caused the potassium concentration to rise to 45 mM in CA1, 12 mM in CA3, and 32 mM in cortex. 3. Extracellular volume fraction and tortuosity were determined during normoxic conditions and in vitro ischemia by measuring the diffusion of tetramethylammonium. This cation was iontophoretically released into the extracellular space and its concentration as a function of time determined with an ion-selective microelectrode approximately 100 microns away from the source. 4. During normoxia the volume fraction was 0.14, 0.20, and 0.18, and tortuosity was 1.50, 1.57, and 1.62 in CA1, CA3, and cortex, respectively. These data confirm that the volume fraction of CA1 is smaller than in the two other regions. 5. During ischemia the volume fraction decreased to 0.05, 0.17, and 0.09 in CA1, CA3, and cortex, respectively. Only in CA3 did the tortuosity change significantly by increasing to 1.75. Because of limitations in the time resolution of the diffusion method, the changes in volume fraction and tortuosity during the anoxic depolarization phase of ischemia may have been underestimated.(ABSTRACT TRUNCATED AT 250 WORDS)

A quantitative description of the behavior of a neurotransmitter in the brain extracellular microenvironment requires an understanding of the relative importance of diffusion versus uptake processes. This paper models the behavior of dopamine released from a small iontophoresis electrode and its voltammetric detection by a carbon fiber sensor 100 microns away as a basis for developing a new paradigm for measuring dopamine kinetics in intact rat neostriatum. The diffusion equation incorporating uptake, characterized by a maximum velocity Vmax and a Michaelis-Menten constant Km, was transformed to an integral equation and solved numerically for the dopamine concentration, C. Analytical solutions were derived for limiting cases of a steady-state free-boundary problem when C >> Km and the linear time-dependent problem when C << Km. These solutions were compared with complete numerical solutions, both for normal uptake (Vmax = 0.2 or 0.8 microM s-1; Km = 0.15 microM), and in the presence of the uptake blocker nomifensine (Km = 6 microM). The results suggest that an experimental strategy for the quantitative analysis of dopamine, and other compounds, in living tissue is to fit a family of concentration versus time curves generated with different iontophoretic current strengths and recorded with a microsensor, to the numerical solution of the diffusion-uptake equation

1. We determined the origin of the apparent tissue conductivity (sigma 2) of the turtle cerebellum in vitro. 2. Application of a current with a known current density (J) along the longitudinal axis of a conductivity cell produced an electric field in the cerebellum suspended in the cell. The measured electric field (E) perpendicular to the cerebellar surface indicated a significant inhomogeneity in sigma a (= J/E) with a major discontinuity between the molecular layer (0.25 +/- 0.05 S/m, mean +/- SD) and granular layers (0.15 +/- 0.03 S/m) (n = 39). 3. This inhomogeneity was more pronounced after anoxic depolarization. The value of sigma a decreased to 0.11 +/- 0.03 and 0.040 +/- 0.008 S/m in the molecular and granular layers, respectively. The ratio of sigma a S in the two layers increased from 1.67 in the normoxic condition to 2.75 after anoxic depolarization. 4. This difference in sigma a across the two layers was present within the range of frequencies (DC to 10 kHz) studied where the phase of sigma a was small (less than +/- 2 degrees) and therefore sigma a was ohmic. 5. The inhomogeneity in sigma a was in part due to an inhomogeneity in the extracellular conductivity (sigma e) as determined from the extracellular diffusion of ionophoresed tetramethylammonium. Like sigma a, the value of sigma e was also higher in the molecular layer (0.165 S/m) than in the granular layer (0.097 S/m). The inhomogeneity in sigma e was due to a smaller tortuosity and a larger extracellular volume fraction in the molecular layer compared with the granular layer. 6. sigma a was, however, consistently higher, by approximately 50%, than sigma e. A core conductor model of the cerebellum indicated that these discrepancies between sigma a and sigma e were attributable to additional conductivity produced by a passage of the longitudinal applied current through the intracellular space of Purkinje cells and ependymal glial cells, with the glial compartment playing the dominant role. Cells with a long process and a short space constant such as the ependymal glia evidently enhance the effective 'extracellular' conductivity by serving as intracellular conduits for the applied current. The result implies that the effective sigma e may be larger than sigma e for neuronally generated currents in the turtle cerebellum because the space constant for Purkinje cells is several times greater than that for the ependymal glia and consequently Purkinje cell-generated currents travel over a long distance relative to the space constant of glial cells.(ABSTRACT TRUNCATED AT 400 WORDS)

Fast-scan cyclic voltammetry with carbon fibre microelectrodes was used to detect endogenous dopamine (DA) and 5-hydroxytryptamine (5-HT) release from three distinct regions of guinea-pig mid-brain in vitro: rostral and caudal substantia nigra (SN) and the ventral tegmental area (VTA). Previous electrophysiological studies have demonstrated that cells of the caudal SN and the VTA have similar characteristics, whereas cells in the rostral SN have distinctly different properties. In the present study, we confirmed that each region has tyrosine hydroxylase-positive neurons and determined, using high-performance liquid chromatography, that DA levels were similar in rostral and caudal SN, but lower in SN than in VTA. In each region, application of veratrine, which was shown by intracellular recordings to have a reversible depolarising action, evoked a signal attributable to DA and distinguishable from that of 5-HT. Release signals were monitored every 250 ms with a spatial resolution of less than 50 microns.l DA release was calcium-dependent and was not detectable in a catecholamine-poor area such as the cerebellum, or in mid-brain tissue pre-treated with reserpine. Within the normal mid-brain, the amount of DA released was correlated with tissue content in that it was higher in the VTA than in either region of SN. It is concluded that DA released from somato-dendritic parts of mid-brain neurons exhibits site-specific variation. This is the first report of direct monitoring of DA and 5-HT release from these regions with in situ electrodes and demonstrates the utility of fast-scan cyclic voltammetry to investigate the mechanisms and possible non-classical functions of somato-dendritic DA release

1. Measurements of extracellular diffusion properties were made in three orthogonal axes of the molecular and granular layers of the isolated turtle cerebellum with the use of iontophoresis of tetramethylammonium (TMA+) combined with ion-selective microelectrodes. 2. Diffusion in the extracellular space of the molecular layer was anisotropic, that is, there was a different value for the tortuosity factor, lambda i, associated with each axis of that layer. The x- and y-axes lay in the plane parallel to the pial surface of this lissencephalic cerebellum with the x-axis in the direction of the parallel fibers. The z-axis was perpendicular this plane. The tortuosity values were lambda x = 1.44 +/- 0.01, lambda y = 1.95 +/- 0.02, and lambda z = 1.58 +/- 0.01 (mean +/- SE). By contrast, the granular layer was isotropic with a single tortuosity value, lambda Gr = 1.77 +/- 0.01. 3. These data confirm the applicability of appropriately extended Fickian equations to describe diffusion in anisotropic porous media, including brain tissue. 4. Heterogeneity between the molecular and granular layer was revealed by a striking difference in extracellular volume fraction, alpha, for each layer. In the molecular layer alpha = 0.31 +/- 0.01, whereas in the granular layer alpha = 0.22 +/- 0.01. 5. Volume fraction and tortuosity affected the time course and amplitude of extracellular TMA+ concentration after iontophoresis. This was modeled by the use of the average parameters determined experimentally, and the nonspherical pattern of diffusion in the molecular layer was compared with the spherical distribution in the granular layer and agarose gel by computing isoconcentration ellipsoids. 6. One functional consequence of these results was demonstrated by measuring local changes in [K+]o and [Ca2+]o after microiontophoresis of a cerebellar transmitter, glutamate. The ratios of ion shifts in the x- and y-axes in the granular layer were close to unity, with a ratio of 1.04 +/- 0.08 for the rise in [K+]o and 1.03 +/- 0.17 for the decrease in [Ca2+]o. In contrast, ion shifts in the molecular layer had an x:y ratio of 1.44 +/- 0.14 for the rise in [K+]o and 2.10 +/- 0.42 for the decrease in [Ca2+]o. 7. These data demonstrate that the structure of cellular aggregates can channel the migration of substances in the extracellular microenvironment, and this could be a mechanism for volume transmission of chemical signals. For example, the preferred diffusion direction of glutamate along the parallel fibers would help constrain an incoming excitatory stimulus to stay 'on-beam.'

Extracellular space volume fraction, tortuosity and nonspecific uptake of tetramethylammonium--three diffusion parameters of brain tissue--were measured in gray matter of the somatosensory neocortex and subcortical white matter of the rat during postnatal development. The three parameters were determined from concentration-time profiles of tetramethylammonium in postnatal days 2-120 in vivo. Tetramethylammonium concentration was measured with ion-selective microelectrodes positioned 130-200 microns from an iontophoretic source. Data were correlated with cytoarchitectonic structure and average thickness of the regions in 0-90-day-old rats using rapidly frozen tissue. Extracellular space volume fraction was largest in the newborn rats and diminished with age. In two-to three-day-old animals, volume fraction (mean +/- S.E.) was 0.36 +/- 0.04 in layers III and IV, 0.38 +/- 0.02 in layer V, 0.41 +/- 0.01 in layer VI and 0.46 +/- 0.01 in white matter. The earliest decrease in volume fraction was found in layers V and VI at postnatal days 6-7 followed by a decrease in layer III and IV at postnatal days 8-9 and in white matter at postnatal days 10-11. A further dramatic reduction in volume fraction occurred in all cortical layers and especially in the white matter between postnatal days 10 and 21. There was no further decrease in volume fraction between postnatal day 21 and adults (90-120 days old). The adult volume fraction values were: layer II, 0.19 +/- 0.002; III, 0.20 +/- 0.004; IV, 0.21 +/- 0.003; V, 0.22 +/- 0.003; VI, 0.23 +/- 0.007; white matter, 0.20 +/- 0.008. Values of tortuosity ranged between 1.51 and 1.65, nonspecific cellular uptake varied from 3.3 x 10(-3)/s to 6.3 x 10(-3)/s. The variations in each parameter were not statistically significant at any age. These data represent the first characterization of diffusion parameters in a developing brain. They confirm previous histological indications of a relatively large extracellular volume fraction during early postnatal development. The constancy of the tortuosity shows that diffusion of small molecules is no more hindered in the developing brain than in the adult. The large extracellular space volume fraction of the neonatal brain could significantly dilute ions, metabolites and neuroactive substances released from cells, relative to release in adults, and may be a factor in preventing anoxia, seizure and spreading depression in young animals. The diffusion characteristics could also play an important role in the developmental process itself

This paper describes the theory of an integrative optical imaging system and its application to the analysis of the diffusion of 3-, 10-, 40-, and 70-kDa fluorescent dextran molecules in agarose gel and brain extracellular microenvironment. The method uses a precisely defined source of fluorescent molecules pressure ejected from a micropipette, and a detailed theory of the intensity contributions from out-of-focus molecules in a three-dimensional medium to a two-dimensional image. Dextrans tagged with either tetramethylrhodamine or Texas Red were ejected into 0.3% agarose gel or rat cortical slices maintained in a perfused chamber at 34 degrees C and imaged using a compound epifluorescent microscope with a 10 x water-immersion objective. About 20 images were taken at 2-10-s intervals, recorded with a cooled CCD camera, then transferred to a 486 PC for quantitative analysis. The diffusion coefficient in agarose gel, D, and the apparent diffusion coefficient, D*, in brain tissue were determined by fitting an integral expression relating the measured two-dimensional image intensity to the theoretical three-dimensional dextran concentration. The measurements in dilute agarose gel provided a reference value of D and validated the method. Values of the tortuosity, lambda = (D/D*)1/2, for the 3- and 10-kDa dextrans were 1.70 and 1.63, respectively, which were consistent with previous values derived from tetramethylammonium measurements in cortex. Tortuosities for the 40- and 70-kDa dextrans had significantly larger values of 2.16 and 2.25, respectively. This suggests that the extracellular space may have local constrictions that hinder the diffusion of molecules above a critical size that lies in the range of many neurotrophic compounds

The organic calcium channel blocker verapamil has been demonstrated to block epileptic activity in various experimental models both in vitro and in vivo. The drug, however, does not pass the blood-brain barrier, so that both the oral route and intravenous administration of the drug are ruled out for antiepileptic treatment. The present investigations analyzed the effects of verapamil applied epicortically in experimental models of interictal penicillin-induced and ictal pentylenetetrazol-induced epileptic activity in rats. Such epicortical application of verapamil was ineffective in suppressing either interictal or ictal epileptic activity. To test whether this lack of effect was due to poor penetration of the substance into the cortical tissue, the diffusion characteristics of verapamil were studied in agar and in gray matter by pressure microejection and an appropriate verapamil-selective microelectrode. The diffusion could be described fully by a diffusion coefficient D (5.08 x 10(-6) cm2 x s-1), tortuosity lambda (1.51) and concentration-dependent uptake, k' (2.23 x 10(-3) s-1). Using these values, the depth-dependent concentration gradient resulting from superfusion of the substance was calculated for agar and brain. In concentration measurements done in brain tissue, however, verapamil could not be detected in cortical layers deeper than 150 microns, which did not agree with the theoretical prediction. This observation may indicate a diffusion barrier at the interface between superfusing fluid and tissue. The results indicate that epicortical administration of verapamil is not efficacious in treatment of epilepsy