The DOI matches its Crossref record; 53 of the 53 references it cites were found in a registry or an index.
Recommendations for straightforward and rigorous methods of counting neurons based on a computer simulation approach
Abstract
Any investigation of the total number of neurons in a given brain region must first address the following questions. What is the best method for estimating the total number of neurons? What are the validity and the expected precision of the obtained data? What precision must the estimates attain with respect to the scientific question? In the present study, these questions were addressed using a computer simulation. Virtual brain regions with various spatial distributions of virtual neurons were modeled. The total numbers of virtual neurons in the modeled brain regions were repeatedly estimated by simulation of modern design-based stereology, either by using the 'fractionator' method or by the established method based on the product of estimated neuron density and estimated volume of the reference space. We show that estimates of total numbers of neurons obtained using the fractionator are from a statistical and economical standpoint more efficient than corresponding estimates obtained using the density/volume procedure. Furthermore, the use of two simple prediction methods (one for homogeneous and the other for clustered neuron distributions) permits satisfactory predictions about the variation of presumably any estimates of total numbers of neurons obtained using the fractionator. Finally, we show that assessing the reliability of estimates of mean total neuronal numbers using the ratio between the mean of the squared coefficients of error of the estimates and the squared coefficient of variation of the estimated total neuronal numbers, a frequently employed method in stereological studies, is neither useful nor informative. The present results may constitute a new set of recommendations for the rigorous usage of design-based stereology. In particular, we strongly recommend counting considerably more neurons than is currently done in the literature when estimating total neuronal numbers using design-based stereology.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“On average, the coefficient of error (56) of optical disector analyses was 0.085 ± 0.018 (mean ± SD).”
From Evolution of increased glia–neuron ratios in the human frontal cortex (2006) · cites this paper as [56]
Citations
Cites
The Art of Computer Programming
Knuth, D. E. (1968) · Cited by 16,097
The Art of Computer Programming. Volume 2: Seminumerical Algorithms.
Taussky, O., & Knuth, D. E. (1970) · American Mathematical Monthly · doi:10.2307/2317055 · Cited by 3,863
The efficiency of systematic sampling in stereology and its prediction*
Gundersen, H. J. G., & Jensen, E. B. V. (1987) · Journal of Microscopy · doi:10.1111/j.1365-2818.1987.tb02837.x · Cited by 3,519
West, M. J., Slomianka, L., & Gundersen, H. J. G. (1991) · The Anatomical Record · doi:10.1002/ar.1092310411 · Cited by 2,994
Statistical analysis of spatial point patterns
(1986) · Environmental Software · doi:10.1016/0266-9838(86)90012-2 · Cited by 2,929
Gundersen, H. J. G., Bagger, P. V., Bendtsen, T. F., Evans, S. M., Korbo, L., Marcussen, N., Møller, A., Nielsen, K. N., Nyengaard, J. R., Pakkenberg, B., et al. (1988) · Apmis · doi:10.1111/j.1699-0463.1988.tb00954.x · Cited by 2,480
Ripley, B. D. (1987) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316726 · Cited by 2,241
Gundersen, H. J. G. (1986) · PubMed · Cited by 1,658
Stereology of arbitrary particles*
Gundersen, H. J. G. (1986) · Journal of Microscopy · doi:10.1111/j.1365-2818.1986.tb02764.x · Cited by 1,444
The efficiency of systematic sampling in stereology—reconsidered
GUNDERSEN, H. J. G., JENSEN, E. B. V., KIÊU, K., & NIELSEN, J. (1999) · Journal of Microscopy · doi:10.1046/j.1365-2818.1999.00457.x · Cited by 1,317
Research works printed but not linked: 2
- Buffon, G.L.L.C, 1777. In: Essai d'Arithmétique Morale. Supplément à l'Histoire Naturelle, vol. 4, Imprimerie Royale, Paris.
- Matheron, G., 1965. Les Variables Régionalisées et leur Estimation. Thesis, Masson et Cie, Paris.
Cited by
Sorted by citations
Items 201–272 of 272
Figueiredo, T. H., Aroniadou‐Anderjaska, V., Pidoplichko, V. I., Apland, J. P., & Braga, M. F. M. (2022) · Toxics · doi:10.3390/toxics10080409 · Cited by 11
Cholinergic neurons in the basal forebrain of aged female mice
Kalesnykas, G., Puoliväli, J. T., Sirviö, J., & Miettinen, R. A. (2004) · Brain Research · doi:10.1016/j.brainres.2004.06.070 · Cited by 11
Raghanti, M., Edler, M., Meindl, R., Sudduth, J., Bohush, T., Erwin, J., Stimpson, C., Hof, P., & Sherwood, C. (2014) · Frontiers in Human Neuroscience · doi:10.3389/fnhum.2014.00101 · Cited by 9
Self-citationDeng, M., Kleinert, R., Huang, H., He, Q., Madrahimova, F., Dirsch, O., & Dahmen, U. (2009) · Journal of Histochemistry & Cytochemistry · doi:10.1369/jhc.2009.953869 · Cited by 10
Neocortical synaptophysin asymmetry and behavioral lateralization in chimpanzees (Pan troglodytes)
Sherwood, C. C., Duka, T., Stimpson, C. D., Schenker-Ahmed, N. M., Garrison, A. R., Schapiro, S. J., Baze, W. B., McArthur, M. J., ERWIN, J. M., Hof, P. R., et al. (2010) · European Journal of Neuroscience · doi:10.1111/j.1460-9568.2010.07168.x · Cited by 10
Self-citationDecreased Neurogenesis Increases Spatial Reversal Errors in Chickadees (Poecile atricapillus)
Guitar, N. A., & Sherry, D. F. (2018) · Developmental Neurobiology · doi:10.1002/dneu.22641 · Cited by 9
Chawana, R., Patzke, N., Bhagwandin, A., Kaswera‐Kyamakya, C., Gilissen, E., Bertelsen, M. F., Hemingway, J., & Manger, P. R. (2020) · The Journal of Comparative Neurology · doi:10.1002/cne.24895 · Cited by 9
Furtado, M. D. A., Aroniadou‐Anderjaska, V., Figueiredo, T. H., Pidoplichko, V. I., Apland, J. P., Rossetti, K., & Braga, M. F. M. (2023) · Journal of Pharmacology and Experimental Therapeutics · doi:10.1124/jpet.123.001710 · Cited by 9
Jacobs, C., Broeck, W. V. D., & Simoens, P. (2005) · Brain Research Protocols · doi:10.1016/j.brainresprot.2005.04.004 · Cited by 9
Cellular and spatial changes in the anuran superior olive across metamorphosis
Templin, T., & Simmons, A. M. (2005) · Hearing Research · doi:10.1016/j.heares.2005.04.006 · Cited by 9
Kreutz, A., & Barger, N. (2018) · Frontiers in Neuroanatomy · doi:10.3389/fnana.2018.00073 · Cited by 8
Figueiredo, T. H., Aroniadou‐Anderjaska, V., Apland, J. P., Rossetti, K., & Braga, M. F. M. (2023) · Experimental Biology and Medicine · doi:10.1177/15353702231171911 · Cited by 8
Pérez-Alcázar, M., Nicolás, M. J., Valencia, M., Alegre, M., López‐Azcárate, J., Iriarte, J., & Artieda, J. (2009) · Brain Research · doi:10.1016/j.brainres.2009.11.031 · Cited by 8
Retinal topography in two species of flamingo (Phoenicopteriformes: Phoenicopteridae)
Lisney, T. J., Potier, S., Isard, P., Mentek, M., Mitkus, M., & Collin, S. P. (2020) · The Journal of Comparative Neurology · doi:10.1002/cne.24902 · Cited by 8
Pillay, S., Bhagwandin, A., Bertelsen, M. F., Patzke, N., Engler, G., Engel, A. K., & Manger, P. R. (2020) · The Journal of Comparative Neurology · doi:10.1002/cne.25047 · Cited by 7
Qin, L., Liang, X., Qi, Y., Luo, Y., Xiao, Q., Huang, D., Zhou, C., Jiang, L. H., Zhou, M., Zhou, Y., et al. (2023) · Neuropharmacology · doi:10.1016/j.neuropharm.2023.109669 · Cited by 7
MODERN STEREOLOGICAL EVALUATION IN THE AGING HUMAN SUBSTANTIA NIGRA
Ma, S. Y., Longo, F. M., Röyttä, M., & Collan, Y. U. (2011) · Image Analysis & Stereology · doi:10.5566/ias.v22.p73-80 · Cited by 7
High-Resolution Estimation of Multiple Cell Populations in Tissue Using Confocal Stereology
Peterson, D. A. (2014) · Elsevier eBooks · doi:10.1016/b978-0-12-409513-7.00012-9 · Cited by 6
Melvin, N. R., PODA, D., & Sutherland, R. J. (2007) · Journal of Microscopy · doi:10.1111/j.1365-2818.2007.01828.x · Cited by 6
Unchanged expression of the ceramide transfer protein in the acute 6-OHDA neurodegenerative model
Mencarelli, C., Bode, G. H., Vlamings, R., Janssen, M. L. F., Losen, M. H., Baets, M. H. D., Steinbusch, H. W. M., Temel, Y., & Martínez‐Martínez, P. (2011) · Neuroscience Letters · doi:10.1016/j.neulet.2011.10.044 · Cited by 6
Jacobs, C., Broeck, W. V. D., & Simoens, P. (2006) · Brain Research · doi:10.1016/j.brainres.2006.04.099 · Cited by 6
Chu, Y., Harms, A. S., Boehringer, A. V., & Kordower, J. H. (2025) · Frontiers in Cellular Neuroscience · doi:10.3389/fncel.2025.1557645 · Cited by 5
Hamodeh, S., Baizer, J. S., Sugihara, I., & Sultan, F. R. (2014) · The Journal of Comparative Neurology · doi:10.1002/cne.23545 · Cited by 6
Turgut, M., Kaplan, S., ÜNAL, Z. B., Altunkaynak, B. Z., ÜNAL, D., Şahin, B., BOZKURT, M., & Yurtseven, M. (2009) · Journal of Experimental and Clinical Medicine · doi:10.5835/jecm.omu.26.03.003 · Cited by 5
Hidden brain atrophy in ultra-high field MR images in a transgenic rat model of Huntington's disease
Jahanshahi, A., Boonstra, J. T., Alosaimi, F., Özsoy, Ö., Michielse, S., & Temel, Y. (2022) · Brain Disorders · doi:10.1016/j.dscb.2022.100039 · Cited by 6
Turgut, M., Kaplan, S., Metin, K., Koca, Y. B., Soylu, E., Şahin, B., Ateşlier, Z. B. B., & Başaloğlu, H. (2006) · Anatomia Histologia Embryologia · doi:10.1111/j.1439-0264.2005.00653.x · Cited by 5
Prenatal Programming of Depression and Schizophrenia?
Dafotakis, M., Vehoff, J., Korr, H., & Schmitz, C. (2002) · Neuroembryology and Aging · doi:10.1159/000063531 · Cited by 5
Self-citationFigueiredo, T. H., Aroniadou‐Anderjaska, V., Pidoplichko, V. I., Furtado, M. D. A., Rossetti, K., Lumley, L. A., & Braga, M. F. M. (2025) · Experimental Neurology · doi:10.1016/j.expneurol.2025.115412 · Cited by 4
Ekici, F., Keskin, İ., Aslan, H., Erişgin, Z., Altunkaynak, B. Z., Gökçımen, A., Odacı, E., & Kaplan, S. (2012) · Journal of Experimental and Clinical Medicine · doi:10.5835/jecm.omu.29.01.013 · Cited by 4
The density of calretinin striatal interneurons is decreased in 6-OHDA-lesioned mice
Petryszyn, S., Saidi, L., Gagnon, D., Parent, A., & Parent, M. (2021) · Brain Structure and Function · doi:10.1007/s00429-021-02298-5 · Cited by 4
3D segmentation of neuronal nuclei and cell-type identification using multi-channel information
LaTorre, A., Alonso‐Nanclares, L., Peña, J. M., & DeFelipe, J. (2021) · Expert Systems with Applications · doi:10.1016/j.eswa.2021.115443 · Cited by 4
Olesen, M. V., Needham, E. K., & Pakkenberg, B. (2017) · Journal of Visualized Experiments · doi:10.3791/55737-v · Cited by 4
Joint immobilization increases reactive oxygen species: an experimental study
Erdem, M. N., Gunes, T., Sen, C., Bostan, B., Aslan, H., Ozyurt, H., & Koseoglu, R. D. (2009) · Acta Orthopaedica et Traumatologica Turcica · doi:10.3944/aott.2009.436 · Cited by 4
Wadhwa, S. (2003) · PubMed · Cited by 3
Fetal inflammatory injury as origin of long term disease : lessons from animal models
Gantert, M. (2014) · doi:10.26481/dis.20140131mg · Cited by 3
Kulkarni, V., & Ramesh, B. (2018) · MOJ Anatomy & Physiology · doi:10.15406/mojap.2018.05.00201 · Cited by 2
REVIEW DESIGN-BASED STEREOLOGY IN NEUROSCIENCE
Schmitz, C., & Hof, P. R. (2005) · Cited by 2
Self-citationTurgut, M., Koca, Y. B., Kaplan, S., Metin, K., Üzüm, N., Soylu, E., Avcı, A., Rağbetli̇, M. Ç., Beytaş, E. P., & Olgun, K. (2007) · Amphibia-Reptilia · doi:10.1163/156853807779798992 · Cited by 1
ImageJ-FIJI-Assisted Estimation of Intestinal Layers’ Volume: Study in Jejunum–Ileum of Rats
Wicaksono, S. A., Sumiwi, Y. A. A., Paramita, D. K., & Susilowati, R. (2022) · Journal of Microscopy and Ultrastructure · doi:10.4103/jmau.jmau_53_22 · Cited by 1
Structural plasticity of the serotonergic and dopaminergic systems : a multidisciplinary approach
Jahanshahi, A. (2012) · Research Publications (Maastricht University) · doi:10.26481/dis.20120523aj
Role of the N-methyl-D-aspartate receptor (NMDAR)-NR2b subunit in female reproductive aging
Maffucci, J. A. (2008) · Texas ScholarWorks (Texas Digital Library)
Novel insights towards memory restoration
Hescham, S.-A. (2015) · Research Publications (Maastricht University) · doi:10.26481/dis.20151215sh
Jain, S. (2010) · NORA - Norwegian Open Research Archives
Schmitz, C. (2013)
Self-citationNeurostimulation to treat brain injury?
Schönfeldt, L. (2016) · doi:10.26481/dis.20160610ls
The link between ceramide transporters, innate immunity and Alzheimer’s disease
Bode, G. H. (2016) · Research Publications (Maastricht University) · doi:10.26481/dis.20161014gb
Pathophysiological Roles of Brain Aquaporins in Parkinson’s Disease and Aging
Stahl, K. (2018) · NORA - Norwegian Open Research Archives
Deep brain stimulation and memory functions
Aldehri, M. (2020) · doi:10.26481/dis.20200710ma
Alosaimi, F., Temel, Y., Hescham, S., Witzig, V. S., Almasabi, F., Tan, S. K. H., & Jahanshahi, A. (2022) · Research Square · doi:10.21203/rs.3.rs-1227919/v1
MacNeilage, P. F. (2007) · Faculty Opinions – Post-Publication Peer Review of the Biomedical Literature · doi:10.3410/f.1086989.539946
The Tangled Principle of the Democratic Peace
Cartwright, N. D., Hardie, J. M., Montuschi, E., Soleiman, M. T., & Thresher, A. C. (2022) · Oxford University Press eBooks · doi:10.1093/oso/9780198866343.003.0007
Cartwright, N. D., Hardie, J. M., Montuschi, E., Soleiman, M., & Thresher, A. C. (2022) · Oxford University Press eBooks · doi:10.1093/oso/9780198866343.002.0003
Cartwright, N. D., Hardie, J. M., Montuschi, E., Soleiman, M. T., & Thresher, A. C. (2022) · Oxford University Press eBooks · doi:10.1093/oso/9780198866343.003.0006
Cartwright, N. D., Hardie, J. M., Montuschi, E., Soleiman, M., & Thresher, A. C. (2022) · Oxford University Press eBooks · doi:10.1093/oso/9780198866343.002.0007
Cartwright, N. D., Hardie, J. M., Montuschi, E., Soleiman, M. T., & Thresher, A. C. (2022) · Oxford University Press eBooks · doi:10.1093/oso/9780198866343.003.0004
Cartwright, N. D., Hardie, J. M., Montuschi, E., Soleiman, M. T., & Thresher, A. C. (2022) · Oxford University Press eBooks · doi:10.1093/oso/9780198866343.003.0003
Cartwright, N. D., Hardie, J. M., Montuschi, E., Soleiman, M., & Thresher, A. C. (2022) · Oxford University Press eBooks · doi:10.1093/oso/9780198866343.002.0004
Cartwright, N. D., Hardie, J. M., Montuschi, E., Soleiman, M. T., & Thresher, A. C. (2022) · Oxford University Press eBooks · doi:10.1093/oso/9780198866343.003.0002
Cartwright, N. D., Hardie, J. M., Montuschi, E., Soleiman, M. T., & Thresher, A. C. (2022) · Oxford University Press eBooks · doi:10.1093/oso/9780198866343.003.0008
Cartwright, N. D., Hardie, J. M., Montuschi, E., Soleiman, M. T., & Thresher, A. C. (2022) · Oxford University Press eBooks · doi:10.1093/oso/9780198866343.003.0005
Cartwright, N. D., Hardie, J. M., Montuschi, E., Soleiman, M. T., & Thresher, A. C. (2022) · Oxford University Press eBooks · doi:10.1093/oso/9780198866343.003.0001
Zhou, K., Zisiadis, G. A., Havermans, M., Dominguez, C. A., Ohshima, M., Rodrigues, C. F. D., & Blomgren, K. (2023) · Research Square · doi:10.21203/rs.3.rs-2681591/v1
Roach, C., Rios, R., Pearson, J., & Disney, A. A. (2025) · The Journal of Comparative Neurology · doi:10.1002/cne.70110
Figueiredo, T. H., Aroniadou‐Anderjaska, V., Furtado, M. D. A., Pidoplichko, V. I., Rossetti, K., Lumley, L. A., & Braga, M. F. M. (2025) · Toxics · doi:10.3390/toxics14010022
Moore, S., Eng, M. L., Pereira, P. D. C., Wein, J., Bottini, C., Morrissey, C. A., & Guigueno, M. F. (2026) · Ecotoxicology and Environmental Safety · doi:10.1016/j.ecoenv.2026.120769
Ceramide transporters in neuroinflammation and neurodegenerative diseases
Mencarelli, C. (2012) · Research Publications (Maastricht University) · doi:10.26481/dis.20120627cm
Impact of stress exposure and pharmacological intervention on a mouse model of Alzheimer’s disease
Sierksma, S. R. (2012) · Research Publications (Maastricht University) · doi:10.26481/dis.20121220ss
Metadata
- Authors
- Schmitz, C., & Hof, P. R.
- Affiliations
- RWTH Aachen University (DE)
- Icahn School of Medicine at Mount Sinai (US)
- Corresponding author
- Schmitz, Christoph
- Venue
- Journal of Chemical Neuroanatomy
- Publisher
- Elsevier BV
- Published
- 2000-10
- Volume
- 20
- Issue
- 1
- Pages
- 93-114
- ISSN
- 0891-0618 (ISSN-L)
- OpenAlex
- W2168092251
- Cited by
- 272
- References
- 53
- Citations by year
- 2026: 1 · 2025: 4 · 2024: 1 · 2023: 5 · 2022: 22 · 2021: 6 · 2020: 8 · 2019: 4 · 2018: 12 · 2017: 6 · 2016: 10 · 2015: 11 · 2014: 11 · 2013: 11 · 2012: 16
- FWCI
- 23.64
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Chemical Neuroanatomy (publishedVersion)
- PubMed (publishedVersion)
- RWTH Publications (RWTH Aachen) (submittedVersion)
- Funders
- National Institutes of Health
- National Institute on Aging (AG-02219, AG 05138, P50AG005138, P01AG002219)
- National Institute of Mental Health (MH-58911, P50MH058911)
- Topics
- Physical Sciences › Mathematics › Applied Mathematics › Point processes and geometric inequalities
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Biophysics › Cell Image Analysis Techniques
- Physical Sciences › Mathematics › Statistics and Probability › Census and Population Estimation
- Keywords
- neuron counting, design-based stereology, neuronal density, coefficient of variation, estimation precision
- MeSH terms
- Algorithms, Brain, Cell Count, Computer Simulation, Image Interpretation, Computer-Assisted, Models, Neurological, Terminology as Topic, Random Allocation
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review