Modular and hierarchically modular organization of brain networks
Open accessAbstract
Brain networks are increasingly understood as one of a large class of information processing systems that share important organizational principles in common, including the property of a modular community structure. A module is topologically defined as a subset of highly inter-connected nodes which are relatively sparsely connected to nodes in other modules. In brain networks, topological modules are often made up of anatomically neighboring and/or functionally related cortical regions, and inter-modular connections tend to be relatively long distance. Moreover, brain networks and many other complex systems demonstrate the property of hierarchical modularity, or modularity on several topological scales: within each module there will be a set of sub-modules, and within each sub-module a set of sub-sub-modules, etc. There are several general advantages to modular and hierarchically modular network organization, including greater robustness, adaptivity, and evolvability of network function. In this context, we review some of the mathematical concepts available for quantitative analysis of (hierarchical) modularity in brain networks and we summarize some of the recent work investigating modularity of structural and functional brain networks derived from analysis of human neuroimaging data.
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Free energy may be most effectively minimized-and integrated information maximized-if synchronized couplings take the form of hierarchically organized modules, thus affording robustness, separable optimization, balanced integration and differentiation, evolvability via degeneracy, efficient communication via small-world connectivity, and flexible multi-scale responsivity via critical dynamics.
“Free energy may be most effectively minimized—and integrated information maximized (Marshall et al., 2016)—if synchronized couplings take the form of hierarchically organized modules, thus affording robustness, separable optimization, balanced integration and differentiation, evolvability via degeneracy, efficient communication via small-world connectivity, and flexible multi-scale responsivity”
From An Integrated World Modeling Theory (IWMT) of Consciousness (2020) · cites this paper as Meunier et al., 2010
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Sun, Y., Yin, Q., Fang, R., Yan, X., Wang, Y., Bezerianos, A., Tang, H., Miao, F., & Sun, J. (2014) · PLoS ONE · doi:10.1371/journal.pone.0096505 · Cited by 122 · see citing works
Brain Network Modularity Predicts Exercise-Related Executive Function Gains in Older Adults
Baniqued, P. L., Gallen, C. L., Voss, M. W., Burzynska, A. Z., Wong, C. N., Cooke, G. E., Duffy, K., Fanning, J., Ehlers, D. K., Salerno, E. A., et al. (2018) · Frontiers in Aging Neuroscience · doi:10.3389/fnagi.2017.00426 · Cited by 112 · see citing works
When pumpkin is closer to onion than to squash: the structure of the second language lexicon
Borodkin, K., Kenett, Y. N., Faust, M., & Mashal, N. (2016) · Cognition · doi:10.1016/j.cognition.2016.07.014 · Cited by 112 · see citing works
Modular gateway-ness connectivity and structural core organization in maritime network science
Xu, M., Pan, Q., Muscoloni, A., Xia, H., & Cannistraci, C. V. (2020) · Nature Communications · doi:10.1038/s41467-020-16619-5 · Cited by 103 · see citing works
Panigrahy, A., Schmithorst, V. J., Wisnowski, J. L., Watson, C. G., Bellinger, D. C., Newburger, J. W., & Rivkin, M. J. (2015) · NeuroImage: Clinical · doi:10.1016/j.nicl.2015.01.013 · Cited by 86 · see citing works
Hipólito, I., Ramstead, M. J. D., Convertino, L., Bhat, A., Friston, K., & Parr, T. (2021) · Neuroscience & Biobehavioral Reviews · doi:10.1016/j.neubiorev.2021.02.003 · Cited by 79 · see citing works
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A Healthy Brain in a Healthy Body: Brain Network Correlates of Physical and Mental Fitness
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Cluster-based statistics for brain connectivity in correlation with behavioral measures.
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Modeling somatic computation with non-neural bioelectric networks
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The broad edge of synchronization: Griffiths effects and collective phenomena in brain networks
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Cortico-spinal modularity in the parieto-frontal system: A new perspective on action control
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- Authors
- Meunier, D., Lambiotte, R., & Bullmore, E. T.
- Affiliations
- Imperial College London (GB)
- University of Cambridge (GB)
- Corresponding author
- Bullmore, Edward T.
- Venue
- Frontiers in Neuroscience
- Publisher
- Frontiers Media SA
- Published
- 2010
- Volume
- 4
- Pages
- 200-200
- ISSN
- 1662-453X (ISSN-L)
- 1662-4548
- PMC
- PMC3000003
- OpenAlex
- W2021947606
- Cited by
- 1,156
- References
- 6
- Citations by year
- 2026: 50 · 2025: 75 · 2024: 81 · 2023: 88 · 2022: 79 · 2021: 99 · 2020: 92 · 2019: 78 · 2018: 86 · 2017: 70 · 2016: 86 · 2015: 70 · 2014: 68 · 2013: 65 · 2012: 39
- FWCI
- 25.99
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- cc-by
- Locations
- Frontiers in Neuroscience (publishedVersion, cc-by)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Repository of the University of Namur (submittedVersion)
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Functional Brain Connectivity Studies
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Complex Network Analysis Techniques
- Health Sciences › Medicine › Radiology, Nuclear Medicine and Imaging › Advanced Neuroimaging Techniques and Applications
- Keywords
- brain networks, hierarchical modularity, modular organization, community structure, structural brain networks, functional brain networks, network topology, network robustness, cortical regions, complex networks
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 ›
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