{"status":"public","acknowledgement":"We thank the IST Austria Electron Microscopy Facility for technical support, and Diccon Coyle, Andrea Lőrincz and Zoltan Nusser for their helpful comments and discussions.\r\nFunding for JSR and RAS was from the Wellcome Trust (203048; 224499; https://\r\nwellcome.org/). RAS is in receipt of a Wellcome Trust Principal Research Fellowship (224499).\r\nFunding for CBM and PJ was from Fond zur Förderung der Wissenschaftlichen Forschung (V\r\n739-B27 Elise-Richter Programme to CBM, Z 312-B27 Wittgenstein Award to PJ; \r\nhttps://www.fwf.ac.at). PJ received funding from the European Research Council (ERC; https://erc.europa.eu) under the European Union’s Horizon 2020 research and innovation programme (grant agreement no. 692692). NH was supported by a European\r\nResearch Council Advanced Grant (ERC-AG787157).","isi":1,"publication_status":"published","volume":18,"ddc":["570"],"scopus_import":"1","publication":"PLoS ONE","month":"03","citation":{"ista":"Rothman JS, Borges Merjane C, Holderith N, Jonas PM, Angus Silver R. 2023. Validation of a stereological method for estimating particle size and density from 2D projections with high accuracy. PLoS ONE. 18(3 March), e0277148.","mla":"Rothman, Jason Seth, et al. “Validation of a Stereological Method for Estimating Particle Size and Density from 2D Projections with High Accuracy.” PLoS ONE, vol. 18, no. 3 March, e0277148, Public Library of Science, 2023, doi:10.1371/journal.pone.0277148.","apa":"Rothman, J. S., Borges Merjane, C., Holderith, N., Jonas, P. M., & Angus Silver, R. (2023). Validation of a stereological method for estimating particle size and density from 2D projections with high accuracy. PLoS ONE. Public Library of Science. https://doi.org/10.1371/journal.pone.0277148","ama":"Rothman JS, Borges Merjane C, Holderith N, Jonas PM, Angus Silver R. Validation of a stereological method for estimating particle size and density from 2D projections with high accuracy. PLoS ONE. 2023;18(3 March). doi:10.1371/journal.pone.0277148","chicago":"Rothman, Jason Seth, Carolina Borges Merjane, Noemi Holderith, Peter M Jonas, and R. Angus Silver. “Validation of a Stereological Method for Estimating Particle Size and Density from 2D Projections with High Accuracy.” PLoS ONE. Public Library of Science, 2023. https://doi.org/10.1371/journal.pone.0277148.","short":"J.S. Rothman, C. Borges Merjane, N. Holderith, P.M. Jonas, R. Angus Silver, PLoS ONE 18 (2023).","ieee":"J. S. Rothman, C. Borges Merjane, N. Holderith, P. M. Jonas, and R. Angus Silver, “Validation of a stereological method for estimating particle size and density from 2D projections with high accuracy,” PLoS ONE, vol. 18, no. 3 March. Public Library of Science, 2023."},"year":"2023","_id":"12759","doi":"10.1371/journal.pone.0277148","quality_controlled":"1","external_id":{"isi":["001024737400001"]},"author":[{"full_name":"Rothman, Jason Seth","last_name":"Rothman","first_name":"Jason Seth"},{"full_name":"Borges Merjane, Carolina","orcid":"0000-0003-0005-401X","last_name":"Borges Merjane","id":"4305C450-F248-11E8-B48F-1D18A9856A87","first_name":"Carolina"},{"full_name":"Holderith, Noemi","first_name":"Noemi","last_name":"Holderith"},{"first_name":"Peter M","id":"353C1B58-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5001-4804","last_name":"Jonas","full_name":"Jonas, Peter M"},{"first_name":"R.","last_name":"Angus Silver","full_name":"Angus Silver, R."}],"has_accepted_license":"1","date_updated":"2023-08-01T13:46:39Z","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","department":[{"_id":"PeJo"}],"oa":1,"abstract":[{"lang":"eng","text":"Stereological methods for estimating the 3D particle size and density from 2D projections are essential to many research fields. These methods are, however, prone to errors arising from undetected particle profiles due to sectioning and limited resolution, known as ‘lost caps’. A potential solution developed by Keiding, Jensen, and Ranek in 1972, which we refer to as the Keiding model, accounts for lost caps by quantifying the smallest detectable profile in terms of its limiting ‘cap angle’ (ϕ), a size-independent measure of a particle’s distance from the section surface. However, this simple solution has not been widely adopted nor tested. Rather, model-independent design-based stereological methods, which do not explicitly account for lost caps, have come to the fore. Here, we provide the first experimental validation of the Keiding model by comparing the size and density of particles estimated from 2D projections with direct measurement from 3D EM reconstructions of the same tissue. We applied the Keiding model to estimate the size and density of somata, nuclei and vesicles in the cerebellum of mice and rats, where high packing density can be problematic for design-based methods. Our analysis reveals a Gaussian distribution for ϕ rather than a single value. Nevertheless, curve fits of the Keiding model to the 2D diameter distribution accurately estimate the mean ϕ and 3D diameter distribution. While systematic testing using simulations revealed an upper limit to determining ϕ, our analysis shows that estimated ϕ can be used to determine the 3D particle density from the 2D density under a wide range of conditions, and this method is potentially more accurate than minimum-size-based lost-cap corrections and disector methods. Our results show the Keiding model provides an efficient means of accurately estimating the size and density of particles from 2D projections even under conditions of a high density."}],"ec_funded":1,"date_published":"2023-03-17T00:00:00Z","oa_version":"Published Version","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"file":[{"date_updated":"2023-03-27T06:51:09Z","file_size":7290413,"date_created":"2023-03-27T06:51:09Z","creator":"dernst","checksum":"2380331ec27cc87808826fc64419ac1c","file_name":"2023_PLoSOne_Rothman.pdf","relation":"main_file","content_type":"application/pdf","file_id":"12770","success":1,"access_level":"open_access"}],"article_number":"e0277148","article_type":"original","publisher":"Public Library of Science","issue":"3 March","day":"17","project":[{"name":"Biophysics and circuit function of a giant cortical glumatergic synapse","grant_number":"692692","_id":"25B7EB9E-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"grant_number":"Z00312","_id":"25C5A090-B435-11E9-9278-68D0E5697425","name":"The Wittgenstein Prize","call_identifier":"FWF"},{"name":"Structural plasticity at mossy fiber-CA3 synapses","grant_number":"V00739","_id":"2696E7FE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"acknowledged_ssus":[{"_id":"EM-Fac"}],"intvolume":" 18","file_date_updated":"2023-03-27T06:51:09Z","publication_identifier":{"eissn":["1932-6203"]},"date_created":"2023-03-26T22:01:07Z","language":[{"iso":"eng"}],"article_processing_charge":"No","title":"Validation of a stereological method for estimating particle size and density from 2D projections with high accuracy"}