dorsal/arxiv
View SchemaHierarchy, Fractality, Small-World and Resilience of Haversian Bone Structure: A Complex Network Study
| Authors | Luciano da Fontoura Costa, Matheus Palhares Viana, Marcelo Emilio Beletti |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0506019 |
| URL | https://arxiv.org/abs/q-bio/0506019 |
Abstract
This article describes the application of recently introduced complex networks concepts and methods to the characterization and analysis of cortical bone structure. Three-dimensional reconstructions of the system of channels underlying bone structure are obtained by using histological and computer graphics methods and then represented in terms of complex networks. Confluences of two or more channels are represented as nodes, while the interconnecting channels are expressed as edges. The hierarchical backbone (the tree with maximum depth) of such a network is obtained and understood to correspond to the main structure underlying the channel system. The remainder of the network is shown to correspond to geographical communities, suggesting that the bone channel structure involves a number of regular communities appended along the hierarchical backbone. It is shown that such additional edges play a crucial role in enhancing the network resilience and in reducing the shortest paths in both topology and geometry.The recently introduced concept of fractal dimension of a network (cond-mat/0503078) is then correlated with the resilience of the several components of the bone channel structure to obstruction and failure, with important implications for the understanding of the organization and robustness of cortical bone structure.
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"abstract": "This article describes the application of recently introduced complex\nnetworks concepts and methods to the characterization and analysis of cortical\nbone structure. Three-dimensional reconstructions of the system of channels\nunderlying bone structure are obtained by using histological and computer\ngraphics methods and then represented in terms of complex networks.\nCon\u0026#64258;uences of two or more channels are represented as nodes, while the\ninterconnecting channels are expressed as edges. The hierarchical backbone (the\ntree with maximum depth) of such a network is obtained and understood to\ncorrespond to the main structure underlying the channel system. The remainder\nof the network is shown to correspond to geographical communities, suggesting\nthat the bone channel structure involves a number of regular communities\nappended along the hierarchical backbone. It is shown that such additional\nedges play a crucial role in enhancing the network resilience and in reducing\nthe shortest paths in both topology and geometry.The recently introduced\nconcept of fractal dimension of a network (cond-mat/0503078) is then correlated\nwith the resilience of the several components of the bone channel structure to\nobstruction and failure, with important implications for the understanding of\nthe organization and robustness of cortical bone structure.",
"arxiv_id": "q-bio/0506019",
"authors": [
"Luciano da Fontoura Costa",
"Matheus Palhares Viana",
"Marcelo Emilio Beletti"
],
"categories": [
"q-bio.TO",
"cond-mat.dis-nn",
"physics.bio-ph"
],
"title": "Hierarchy, Fractality, Small-World and Resilience of Haversian Bone Structure: A Complex Network Study",
"url": "https://arxiv.org/abs/q-bio/0506019"
},
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