dorsal/arxiv
View SchemaGeneral representation of collective neural dynamics with columnar modularity
| Authors | Myoung Won Cho, Seunghwan Kim |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0405027 |
| URL | https://arxiv.org/abs/q-bio/0405027 |
Abstract
We exhibit a mathematical framework to represent the neural dynamics at cortical level. Our description of neural dynamics with columnar and functional modularity, named fibre bundle representation (FBM) method, is based both on neuroscience and informatics, whereas they correspond with the conventional formulas in statistical physics. In spite of complex interactions in neural circuitry and various cortical modification rules per models, some significant factors determine the typical phenomena in cortical dynamics. The FBM representation method reveals them plainly and gives profit in building or analyzing the cortical dynamic models. Not only the similarity in formulas, the cortical dynamics can share the statistical properties with other physical systems, which validated in primary visual maps. We apply our method to proposed models in visual map formations, in addition our suggestion using the lateral interaction scheme. In this paper, we will show that the neural dynamic procedures can be treated through conventional physics expressions and theories.
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"abstract": "We exhibit a mathematical framework to represent the neural dynamics at\ncortical level. Our description of neural dynamics with columnar and functional\nmodularity, named fibre bundle representation (FBM) method, is based both on\nneuroscience and informatics, whereas they correspond with the conventional\nformulas in statistical physics. In spite of complex interactions in neural\ncircuitry and various cortical modification rules per models, some significant\nfactors determine the typical phenomena in cortical dynamics. The FBM\nrepresentation method reveals them plainly and gives profit in building or\nanalyzing the cortical dynamic models. Not only the similarity in formulas, the\ncortical dynamics can share the statistical properties with other physical\nsystems, which validated in primary visual maps. We apply our method to\nproposed models in visual map formations, in addition our suggestion using the\nlateral interaction scheme. In this paper, we will show that the neural dynamic\nprocedures can be treated through conventional physics expressions and\ntheories.",
"arxiv_id": "q-bio/0405027",
"authors": [
"Myoung Won Cho",
"Seunghwan Kim"
],
"categories": [
"q-bio.NC"
],
"title": "General representation of collective neural dynamics with columnar modularity",
"url": "https://arxiv.org/abs/q-bio/0405027"
},
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