Summary
Modern stereological methods have been used to make unbiased estimates of the total number of synapses in the striatum radiatum of the hippocampal CA1 region of five rabbits. The approach used involved a two stage analysis and is generally applicable to all parts of the nervous system. During the first stage of the analysis, the reference volume was estimated by point counting, at the light microscope level, according to the Cavalieri principle. During the second stage, the numerical density of synapses was estimated with disectors at the electron microscopic level. The total number of synapses was calculated as the product of the numerical density and the volume of the region. The sampling with points and disectors was carried out in all three dimensions of the entire CA1 region in a manner that ensured that all parts of the region and all synapses within it had equal probabilities of being sampled. An analysis of the precision of the estimate of total synapse number has been performed in terms of the variances of volume and synaptic numerical density at different levels of sampling, i.e. at the level of points, sections, individual animals and group of animals. Detailed descriptions of the procedures used to estimate the total number of synapses, evaluate the precision of the estimates, and optimize the sampling scheme are provided.
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References
Brændgaard, H. &Gundersen, H. J. G. (1986) The impact of recent stereological advances on quantitative studies of the nervous system.Journal of Neuroscience Methods 18, 39–57.
Brændgaard, H., Evans, S. M., Howard, C. V. &Gundersen, H. J. G. (1990) The total number of neurons in the human neocortex unbiasedly estimated using optical disectors.Journal of Microscopy 157, 285–304.
Calverley, P. K. S. &Jones, D. G. (1990) Contribution of dendritic spines and perforated synapses to synaptic plasticity.Brain Research Reviews 15, 215–49.
Calverley, P. K. S., Bedi, K. S. &Jones, D. G. (1988) Estimation of the numerical density of synapses in rat neocortex. Comparison of the ‘disector’ with an ‘unfolding’ method.Journal of Neuroscience Methods 23, 195–205.
Coggeshall, R. E. &Lekan, H. A. (1996) Methods for determining numbers of cells and synapses: a case for more uniform standards of review.Joural of Comparative Neurology 364, 6–15.
Curcio, C. A. &Hinds, J. W. (1983) Stability of synaptic density and spine volume in dentate gyrus of aged rats.Neurobiology of Aging 4, 77–87.
De Groot, D. M. G. (1986) A critical evaluation of methods for estimating the numerical density of synapses.Journal of Neuroscience Methods 18, 79–101.
De Groot, D. M. G. (1988) Comparison of methods for the estimation of the thickness of ultrathin tissue sections.Journal of Microscopy 151, 23–42.
De Groot, D. M. G. &Bierman, E. P. B. (1983) The complex-shaped ‘perforated’ synapse, a problem in quantitative stereology of the brain.Journal of Microscopy 131, 355–60.
Detoledo-Morrell, L., Geinisman, Y. &Morrell, F. (1988) Individual differences in hippocampal synaptic plasticity as a function of aging: behavioral, electrophysiological and morphological evidence. InNeural Plasticity: A Lifespan Approach (edited byPetit, T. L. &Ivy, G.) pp. 283–328, New York: Liss.
Gaarskjaer, F. B. (1978) Organization of the mossy fiber system of the rat studied in extended hippocampi. I. Terminal area related to number of granule and pyramidal cells.Journal of Comparative Neurology 178, 49–72.
Geinisman, Y., Morrell, F. &Detoledo-Morrell, L. (1987) Axospinous synapses with segmented postsynaptic densities: a morphologically distinct synaptic subtype contributing to the number of profiles of ‘perforated’ synapses visualized in random sections.Brain Research 423, 179–88.
Geinisman, Y., Detoledo-Morrell, L. &Morrell, F. (1991) Induction of long-term potentiation is associated with an increase in the number of axospinous synapses with segmented postsynaptic densities.Brain Research 566, 77–88.
Geinisman, Y., Detoledo-Morrell, L., Morrell, F. &Heller, R. E. (1995) Hippocampal markers of agerelated memory dysfunction: behavioral, electrophysiological and morphological perspectives.Progress in Neurobiology 45, 223–52.
Gundersen, H. J. G. (1977) Notes on the estimation of the numerical density of arbitrary profiles: the edge effect.Journal of Microscopy 111, 219–23.
Gundersen, H. J. G. (1986) Stereology of arbitrary particles. A review of unbiased number and size estimators and the presentation of some new ones, in memory of William R. Thompson.Journal of Microscopy 143, 3–45.
Gundersen, H. J. G. &Jensen, E. B. (1987) The efficiency of systematic sampling in stereology and its prediction.Journal of Microscopy 147, 229–63.
Gundersen, H. J. G., Bagger, P., Bendtsen, T. F., Evans, S. M., Korbo, L., Marcussen, N., Møller, A., Nielsen, K., Nyengaard, J. R., Pakkenberg, B., Sørensen, F. B., Vesterby, A. &West, M. J. (1988a) The new stereological tools: disector, fractionator, nucleator and point sampled intercepts and their use in pathological research and diagnosis.Acta Pathologica Microbiologica and Immunologica Scandinavica 96, 857–81.
Hjorth-Simonsen, A. (1977) Distribution of commissural afferents to the hippocampus of the rabbit.Journal of Comparative Neurology 176, 495–514.
Hjorth-Simonsen, A. &Zimmer, J. (1975) Crossed pathways from the entorhinal area to the fascia dentata. I. Normal in rabbits.Journal of Comparative Neurology 161, 57–70.
Hunter, A. &Stewart, M. G. (1989) A quantitative analysis of the synaptic development of the lobus parolfactorius of the chick (Gallus domesticus).Experimental Brain Research 78, 425–34.
Kroustrup, J. P. &Gundersen, H. J. G. (1983) Sampling problems in a heterogeneous organ: A quantitation of relative and total volume of pancreatic islets by light microscopy.Journal of Microscopy 132, 43–55.
Lorente De Nó, R. (1934) Studies on the structure of the cerebral cortex. II. Continuation of the study of the ammonic system.Journal für Psychologie und Neurologie 46, 113–77.
Mayhew, T. M. &Gundersen, H. J. G. (1996) “If you assume, you can make an ass out of u and me”: a decade of the disector for stereological counting of particles in 3D space.Journal of Anatomy 188, 1–15.
Michel, R. P. &Cruz-Orive, L. M. (1988) Application of the Cavalieri principle and vertical section method to the lung: estimation of volume and pleural surface area.Journal of Microscopy,150, 117–36.
Nadler, J. V., Perry, B. W., Gentry, C., &Cotman, C. W. (1980) Loss and reacquisition of hippocampal synapses after selective destruction of CA3–CA4 afferents with kainic acid.Brain Research 191, 387–403.
Oorschot, D. E. (1994) Are you using neuronal densities, synaptic densities or neurochemical densities as your definitive data? There is a better way to go.Progress in Neurobiology 44, 233–47.
Pakkenberg, B. &Gundersen, H. J. G. (1988) Total number of neurons and glial cells in human brain nuclei estimated by the disector and the fractionator.Journal of Microscopy,150, 1–20.
Richardson, K. C., Jarret, L. &Finke, E. H. (1960) Embedding in epoxy resins for ultrathin sectioning in electron microscopy.Stain Technology 35, 313–23.
Royet, J.-P. (1991) Stereology: a method for analyzing images.Progress in Neurobiology 37, 433–474.
Saper, C. B. (1966) Any way you cut it: a new Journal policy for the use of unbiased counting methods.Journal of Comparative Neurology,364, 5.
Small, J. D. (1968) Measurement of section thickness.Abstracts of the Fourth European Regional Conference on Electron Microscopy (Rome) 1, 609–10.
Sterio, D. C. (1984) The unbiased estimation of the number and sizes of arbitrary particles using the disector.Journal of Microscopy 134, 127–36.
Swaab, D. F. &Uylings, H. B. M. (1987) Density measures: parameters to avoid.Neurobiology of Aging 8, 574–6.
Weibel, E. R. (1979)Stereological Methods. Vol. 1. Practical Methods for Biological Morphometry, New York: Academic Press.
West, M. J. (1993) New stereological methods for counting neurons.Neurobiology of Aging 14, 275–85.
West, M. J. &Gundersen, H. J. G. (1990) Unbiased stereological estimation of the number of neurons in the human hippocampal formation.Journal of Comparative Neurology 296, 1–22.
West, M. J., Slomianka, L. &Gundersen, H. J. G. (1991) Unbiased stereological estimation of the total number of neurons in the subdivisions of the rat hippocampus using the optical fractionator.Anatomical Record 231, 482–97.
Westrum, L. E. &Blackstad, T. W. (1962) An electron microscopic study of the stratum radiatum of the rat hippocampus (regio superior, CA1) with particular emphasis on synaptology.Journal of Comparative Neurology 119, 281–309.
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Geinisman, Y., Gundersen, H.J.G., Van Der Zee, E. et al. Unbiased stereological estimation of the total number of synapses in a brain region. J Neurocytol 25, 805–819 (1996). https://doi.org/10.1007/BF02284843
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DOI: https://doi.org/10.1007/BF02284843