dorsal/arxiv
View SchemaGrowth-Driven Percolations: The Dynamics of Community Formation in Neuronal Systems
| Authors | Luciano da Fontoura Costa, Regina Celia Coelho |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0411009 |
| URL | https://arxiv.org/abs/q-bio/0411009 |
| DOI | 10.1140/epjb/e2005-00354-5 |
Abstract
The quintessential property of neuronal systems is their intensive patterns of selective synaptic connections. The current work describes a physics-based approach to neuronal shape modeling and synthesis and its consideration for the simulation of neuronal development and the formation of neuronal communities. Starting from images of real neurons, geometrical measurements are obtained and used to construct probabilistic models which can be subsequently sampled in order to produce morphologically realistic neuronal cells. Such cells are progressively grown while monitoring their connections along time, which are analysed in terms of percolation concepts. However, unlike traditional percolation, the critical point is verified along the growth stages, not the density of cells, which remains constant throughout the neuronal growth dynamics. It is shown, through simulations, that growing beta cells tend to reach percolation sooner than the alpha counterparts with the same diameter. Also, the percolation becomes more abrupt for higher densities of cells, being markedly sharper for the beta cells.
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"abstract": "The quintessential property of neuronal systems is their intensive patterns\nof selective synaptic connections. The current work describes a physics-based\napproach to neuronal shape modeling and synthesis and its consideration for the\nsimulation of neuronal development and the formation of neuronal communities.\nStarting from images of real neurons, geometrical measurements are obtained and\nused to construct probabilistic models which can be subsequently sampled in\norder to produce morphologically realistic neuronal cells. Such cells are\nprogressively grown while monitoring their connections along time, which are\nanalysed in terms of percolation concepts. However, unlike traditional\npercolation, the critical point is verified along the growth stages, not the\ndensity of cells, which remains constant throughout the neuronal growth\ndynamics. It is shown, through simulations, that growing beta cells tend to\nreach percolation sooner than the alpha counterparts with the same diameter.\nAlso, the percolation becomes more abrupt for higher densities of cells, being\nmarkedly sharper for the beta cells.",
"arxiv_id": "q-bio/0411009",
"authors": [
"Luciano da Fontoura Costa",
"Regina Celia Coelho"
],
"categories": [
"q-bio.NC",
"cond-mat.dis-nn",
"physics.bio-ph"
],
"doi": "10.1140/epjb/e2005-00354-5",
"title": "Growth-Driven Percolations: The Dynamics of Community Formation in Neuronal Systems",
"url": "https://arxiv.org/abs/q-bio/0411009"
},
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