메뉴 건너뛰기




Volumn 7, Issue 10, 2012, Pages

Analyzing Self-Similar and Fractal Properties of the C. elegans Neural Network

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; CAENORHABDITIS ELEGANS; CALCULATION; CELL COUNT; CLUSTER ANALYSIS; EIGENVALUE COUNTING FUNCTION; FRACTAL ANALYSIS; MATHEMATICAL PHENOMENA; NERVE CELL; NERVE CELL NETWORK; NERVOUS SYSTEM PARAMETERS; NONHUMAN; SELF SIMILARITY;

EID: 84867178252     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0040483     Document Type: Article
Times cited : (15)

References (39)
  • 1
    • 5444244687 scopus 로고
    • How long is the coast of Britain? Statistical self-similarity and fractal dimension
    • Mandelbrot BB, (1967) How long is the coast of Britain? Statistical self-similarity and fractal dimension. Science 156: 636-638.
    • (1967) Science , vol.156 , pp. 636-638
    • Mandelbrot, B.B.1
  • 4
    • 39549103666 scopus 로고    scopus 로고
    • Application of fractal theory in analysis of human elec-troencephalographic signals
    • Paramanathan P, Uthayakumar R, (2008) Application of fractal theory in analysis of human elec-troencephalographic signals. Comput Biol Med 38: 372-378.
    • (2008) Comput Biol Med , vol.38 , pp. 372-378
    • Paramanathan, P.1    Uthayakumar, R.2
  • 5
    • 0035448601 scopus 로고    scopus 로고
    • Identification of living oligodendrocyte developmental stages by fractal analysis of cell morphology
    • Bernard F, Bossu JL, Gaillard S, (2001) Identification of living oligodendrocyte developmental stages by fractal analysis of cell morphology. J Neurosci Res 65: 439-445.
    • (2001) J Neurosci Res , vol.65 , pp. 439-445
    • Bernard, F.1    Bossu, J.L.2    Gaillard, S.3
  • 6
    • 0030298487 scopus 로고    scopus 로고
    • Fractal methods and results in cellular morphology-dimensions, lacunarity and multifractals
    • Smith TG, Lange GD, Marks WB, (1996) Fractal methods and results in cellular morphology-dimensions, lacunarity and multifractals. J Neurosci Methods 69: 123-136.
    • (1996) J Neurosci Methods , vol.69 , pp. 123-136
    • Smith, T.G.1    Lange, G.D.2    Marks, W.B.3
  • 7
    • 0034839991 scopus 로고    scopus 로고
    • Use of fractal theory in neuroscience: methods, advantages, and potential problems
    • Fernandez E, Jelinek HF, (2001) Use of fractal theory in neuroscience: methods, advantages, and potential problems. Instituto de Bioingenier ia 24: 309-321.
    • (2001) Instituto De Bioingenier Ia , vol.24 , pp. 309-321
    • Fernandez, E.1    Jelinek, H.F.2
  • 9
    • 79952307818 scopus 로고    scopus 로고
    • Fractals in the nervous system: conceptual implications for theoretical neuro-science
    • Werner G, (2010) Fractals in the nervous system: conceptual implications for theoretical neuro-science. Front Physiol 1: 15.
    • (2010) Front Physiol , vol.1 , pp. 15
    • Werner, G.1
  • 10
    • 0027954682 scopus 로고
    • Comparative fractal analysis of cultured glia derived from optic nerve and brain demonstrate different rates of morphological differentiation
    • Smith TG, Behar TN, (1994) Comparative fractal analysis of cultured glia derived from optic nerve and brain demonstrate different rates of morphological differentiation. Brain Res 634: 181-190.
    • (1994) Brain Res , vol.634 , pp. 181-190
    • Smith, T.G.1    Behar, T.N.2
  • 11
    • 0026019687 scopus 로고
    • A fractal analysis of cultured rat optic nerve glial growth and differentiation
    • Smith TG, Behar TN, Lange GD, Marks WB, Sheriff WH, (1991) A fractal analysis of cultured rat optic nerve glial growth and differentiation. Neuroscience 41: 159-166.
    • (1991) Neuroscience , vol.41 , pp. 159-166
    • Smith, T.G.1    Behar, T.N.2    Lange, G.D.3    Marks, W.B.4    Sheriff, W.H.5
  • 12
    • 0026911091 scopus 로고
    • A comparative fractal analysis of various mammalian astroglial cell types
    • Reichenbach A, Siegel A, Senitz D, Smith TG, (1992) A comparative fractal analysis of various mammalian astroglial cell types. Neuroimage 1: 69-77.
    • (1992) Neuroimage , vol.1 , pp. 69-77
    • Reichenbach, A.1    Siegel, A.2    Senitz, D.3    Smith, T.G.4
  • 13
    • 0002959051 scopus 로고
    • Physical mechanisms underlying neurite outgrowth: A quantitative analysis of neuronal shape
    • Caserta F, Stanley HE, Eldred WD, Daccord G, Hausman RE, et al. (1990) Physical mechanisms underlying neurite outgrowth: A quantitative analysis of neuronal shape. Phys Rev Lett 64: 95-98.
    • (1990) Phys Rev Lett , vol.64 , pp. 95-98
    • Caserta, F.1    Stanley, H.E.2    Eldred, W.D.3    Daccord, G.4    Hausman, R.E.5
  • 14
    • 0036706607 scopus 로고    scopus 로고
    • Recurrent fractal neural networks: a strategy for the exchange of local and global information processing in the brain
    • Bieberich E, (2002) Recurrent fractal neural networks: a strategy for the exchange of local and global information processing in the brain. BioSystems 66: 145-164.
    • (2002) BioSystems , vol.66 , pp. 145-164
    • Bieberich, E.1
  • 15
    • 0029853936 scopus 로고    scopus 로고
    • Three-dimensional fractal analysis of the white matter surface from magnetic resonance images of the human brain
    • Free SL, Sisodiya SM, Cook MJ, Fish DR, Shorvon SD, (1996) Three-dimensional fractal analysis of the white matter surface from magnetic resonance images of the human brain. Cereb Cortex 6: 830-836.
    • (1996) Cereb Cortex , vol.6 , pp. 830-836
    • Free, S.L.1    Sisodiya, S.M.2    Cook, M.J.3    Fish, D.R.4    Shorvon, S.D.5
  • 16
    • 0032100602 scopus 로고    scopus 로고
    • Neurons and fractals: how reliable and useful are calculations of fractal dimensions?
    • Jelinek HF, Fernández E, (1998) Neurons and fractals: how reliable and useful are calculations of fractal dimensions? J Neurosci Methods 81: 9-18.
    • (1998) J Neurosci Methods , vol.81 , pp. 9-18
    • Jelinek, H.F.1    Fernández, E.2
  • 17
    • 0028851944 scopus 로고
    • Use and Abuse of Fractal Theory in Neuroscience
    • Murray J, (1995) Use and Abuse of Fractal Theory in Neuroscience. The Journal of Comparative Neurology 361: 369-371.
    • (1995) The Journal of Comparative Neurology , vol.361 , pp. 369-371
    • Murray, J.1
  • 18
    • 33744924504 scopus 로고    scopus 로고
    • Small-world connectivity, motif composition, and complexity of fractal neuronal connections
    • Sporns O, (2006) Small-world connectivity, motif composition, and complexity of fractal neuronal connections. BioSystems 85: 55-64.
    • (2006) BioSystems , vol.85 , pp. 55-64
    • Sporns, O.1
  • 19
    • 60549103853 scopus 로고    scopus 로고
    • Complex brain networks: graph theoretical analysis of structural and functional systems
    • Bullmore E, Sporns O, (2009) Complex brain networks: graph theoretical analysis of structural and functional systems. Nat Rev Neurosci 10: 186-198.
    • (2009) Nat Rev Neurosci , vol.10 , pp. 186-198
    • Bullmore, E.1    Sporns, O.2
  • 20
    • 35148879706 scopus 로고    scopus 로고
    • Graph theoretical analysis of complex networks in the brain
    • Stam CJ, Reijneveld JC, (2007) Graph theoretical analysis of complex networks in the brain. Non-linear Biomed Phys 1: 3.
    • (2007) Non-Linear Biomed Phys , vol.1 , pp. 3
    • Stam, C.J.1    Reijneveld, J.C.2
  • 21
    • 77954137264 scopus 로고    scopus 로고
    • A graph-theoretical approach in brain functional networks. Possible implications in EEG studies
    • Fallani FV, Costa LF, Rodriguez FA, Astolfi L, Vecchiato G, et al. (2010) A graph-theoretical approach in brain functional networks. Possible implications in EEG studies. Nonlinear Biomed Phys 4 Suppl 1: S8.
    • (2010) Nonlinear Biomed Phys , vol.4 , Issue.SUPPL.
    • Fallani, F.V.1    Costa, L.F.2    Rodriguez, F.A.3    Astolfi, L.4    Vecchiato, G.5
  • 22
    • 13844284450 scopus 로고    scopus 로고
    • Motifs in brain networks
    • Sporns O, Kotter R, (2004) Motifs in brain networks. PLoS Biol 2: 1910-1918.
    • (2004) PLoS Biol , vol.2 , pp. 1910-1918
    • Sporns, O.1    Kotter, R.2
  • 24
    • 0035884790 scopus 로고    scopus 로고
    • Geometrical structure of the neuronal network of Caenorhabditis elegans
    • Morita S, Oshio Ki, Osana Y, Funabashi Y, Oka K, et al. (2001) Geometrical structure of the neuronal network of Caenorhabditis elegans. Physica A 298: 553-561.
    • (2001) Physica A , vol.298 , pp. 553-561
    • Morita, S.1    Oshio, K.2    Osana, Y.3    Funabashi, Y.4    Oka, K.5
  • 26
    • 14744269887 scopus 로고    scopus 로고
    • The Laplacian spectrum of a graph
    • Das KC, (2004) The Laplacian spectrum of a graph. Comput Math Appl 48: 715-724.
    • (2004) Comput Math Appl , vol.48 , pp. 715-724
    • Das, K.C.1
  • 27
    • 84867185670 scopus 로고    scopus 로고
    • ProQuest LLC, Ann Arbor, MI, Thesis (Ph.D.)-University of Waterloo (Canada)
    • Zhou D (2008) Spectral analysis of Laplacians on certain fractals. ProQuest LLC, Ann Arbor, MI, 109 pp. Thesis (Ph.D.)-University of Waterloo (Canada).
    • (2008) Spectral analysis of Laplacians on certain fractals , pp. 109
    • Zhou, D.1
  • 29
    • 73649136155 scopus 로고    scopus 로고
    • Outer approximation of the spectrum of a fractal Laplacian
    • Berry T, Heilman SM, Strichartz RS, (2009) Outer approximation of the spectrum of a fractal Laplacian. Experiment Math 18: 449-480.
    • (2009) Experiment Math , vol.18 , pp. 449-480
    • Berry, T.1    Heilman, S.M.2    Strichartz, R.S.3
  • 30
    • 27544467094 scopus 로고    scopus 로고
    • Drawing graphs by eigenvectors: theory and practice
    • Koren Y, (2005) Drawing graphs by eigenvectors: theory and practice. Comput Math Appl 49: 1867-1888.
    • (2005) Comput Math Appl , vol.49 , pp. 1867-1888
    • Koren, Y.1
  • 31
    • 0001216057 scopus 로고
    • The Laplacian spectrum of graphs
    • (Kalamazoo, MI, 1988), New York: Wiley, Wiley-Intersci. Publ
    • Mohar B (1991) The Laplacian spectrum of graphs. In: Graph theory, combinatorics, and applications. Vol. 2 (Kalamazoo, MI, 1988), New York: Wiley, Wiley-Intersci. Publ. pp. 871-898.
    • (1991) Graph theory, combinatorics, and applications , vol.2 , pp. 871-898
    • Mohar, B.1
  • 32
    • 0001581522 scopus 로고    scopus 로고
    • Characterizing Graph Drawing with Eigenvectors
    • Pisanki T, Shawe-Taylor J, (2000) Characterizing Graph Drawing with Eigenvectors. J Chem Inf Comput Sci 40: 567-571.
    • (2000) J Chem Inf Comput Sci , vol.40 , pp. 567-571
    • Pisanki, T.1    Shawe-Taylor, J.2
  • 34
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • Watts DJ, Stogatz SH, (1998) Collective dynamics of 'small-world' networks. Nature 393: 440-442.
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Stogatz, S.H.2
  • 36
    • 33845909323 scopus 로고    scopus 로고
    • Small worlds inside big brains
    • Sporns O, Honey CJ, (2006) Small worlds inside big brains. Proc Natl Acad Sci 103: 19219-19220.
    • (2006) Proc Natl Acad Sci , vol.103 , pp. 19219-19220
    • Sporns, O.1    Honey, C.J.2
  • 38
    • 77951167813 scopus 로고    scopus 로고
    • Weak uncertainty principle for fractals, graphs and metric measure spaces
    • Okoudjou KA, Saloff-Coste L, Teplyaev A, (2008) Weak uncertainty principle for fractals, graphs and metric measure spaces. Trans Amer Math Soc 360: 3857-3873.
    • (2008) Trans Amer Math Soc , vol.360 , pp. 3857-3873
    • Okoudjou, K.A.1    Saloff-Coste, L.2    Teplyaev, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.