{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T06:56:28Z","timestamp":1790837788159,"version":"4.1.0"},"reference-count":96,"publisher":"Wiley","issue":"10","license":[{"start":{"date-parts":[[2026,9,30]],"date-time":"2026-09-30T00:00:00Z","timestamp":1790726400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2026,9,30]],"date-time":"2026-09-30T00:00:00Z","timestamp":1790726400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["J of Comparative Neurology"],"published-print":{"date-parts":[[2026,10]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>A central theme in Jon Kaas\u2019 research, celebrated in this issue, is the relationship between brain structure and function. As a tribute, we examine how certain neuroanatomical structures enable higher order (higher arity) functions whose joint effects cannot be recovered from pairwise measurements. Specifically, we argue that neurons exploit coincident input detection to realize higher order operations that cannot be derived by studying any of the pairwise combinations in isolation. Pairwise statistics can miss these irreducible higher order (more\u2010than\u2010pairwise) effects. We advocate for an extension of graph\u2010based models to hypergraphs to formally capture and analyze these irreducible higher order neural interactions. Based on several recent studies, we discuss both the applicability and benefits of higher order neural data analyses.<\/jats:p>","DOI":"10.1002\/cne.70213","type":"journal-article","created":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T06:10:37Z","timestamp":1790835037000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Structure Guides Function: Beyond Pairwise Neural Interactions"],"prefix":"10.1002","volume":"534","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7250-502X","authenticated-orcid":false,"given":"Alexander","family":"Maier","sequence":"first","affiliation":[{"name":"Department of Psychology Vanderbilt University  Nashville Tennessee USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2026,9,30]]},"reference":[{"issue":"5","key":"e_1_2_10_2_1","doi-asserted-by":"crossref","first-page":"900","DOI":"10.1152\/jn.1989.61.5.900","article-title":"Dynamics of Neuronal Firing Correlation: Modulation of \"Effective Connectivity\"","volume":"61","author":"Aertsen A. 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A.","year":"2026","journal-title":"Physics Reports"},{"issue":"2","key":"e_1_2_10_46_1","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1215\/00318108-8809919","article-title":"Modeling Mental Qualities","volume":"130","author":"Lee A. Y.","year":"2021","journal-title":"The Philosophical Review"},{"issue":"4","key":"e_1_2_10_47_1","doi-asserted-by":"crossref","first-page":"2190","DOI":"10.1016\/j.neuroimage.2011.10.059","article-title":"Ongoing Physiological Processes in the Cerebral Cortex","volume":"62","author":"Leopold D. 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P.","year":"2025","journal-title":"Nature Physics"},{"issue":"1","key":"e_1_2_10_54_1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10827-022-00839-3","article-title":"Neural Manifold Analysis of Brain Circuit Dynamics in Health and Disease","volume":"51","author":"Mitchell\u2010Heggs R.","year":"2023","journal-title":"Journal of Computational Neuroscience"},{"issue":"1","key":"e_1_2_10_55_1","doi-asserted-by":"crossref","DOI":"10.1038\/s41467-025-66577-z","article-title":"Mining Higher\u2010Order Triadic Interactions","volume":"16","author":"Niedostatek M.","year":"2025","journal-title":"Nature Communications"},{"issue":"1","key":"e_1_2_10_56_1","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1038\/s41551-023-01117-y","article-title":"Macroscopic Resting\u2010State Brain Dynamics Are Best Described by Linear Models","volume":"8","author":"Nozari E.","year":"2024","journal-title":"Nature Biomedical Engineering"},{"key":"e_1_2_10_57_1","unstructured":"Odrzywo\u0142ek A.2026. \u201cAll Elementary Functions From a Single Binary Operator.\u201d arXiv.https:\/\/arxiv.org\/abs\/2603.21852."},{"issue":"7306","key":"e_1_2_10_58_1","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1038\/nature09178","article-title":"Sparse Coding and High\u2010Order Correlations in Fine\u2010Scale Cortical Networks","volume":"466","author":"Ohiorhenuan I. 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R.","year":"2024","journal-title":"Physical Review X"},{"issue":"3","key":"e_1_2_10_90_1","first-page":"435","article-title":"The Why, How, and When of Representations for Complex Systems","volume":"63","author":"Torres L.","year":"2021","journal-title":"SIAM Review \u2010 Society for Industrial and Applied Mathematics"},{"issue":"1","key":"e_1_2_10_91_1","doi-asserted-by":"crossref","first-page":"501","DOI":"10.1146\/annurev-statistics-031017-100045","article-title":"Topological Data Analysis","volume":"5","author":"Wasserman L.","year":"2018","journal-title":"Annual Review of Statistics and Its Application"},{"issue":"117627","key":"e_1_2_10_92_1","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2025.117627","article-title":"Information Integration and the Latent Consciousness of Human Groups","volume":"203","author":"Watson J. R.","year":"2026","journal-title":"Chaos, Solitons & Fractals"},{"key":"e_1_2_10_93_1","unstructured":"Williams P. L. andR. 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