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Volumn 81, Issue 1-2, 1998, Pages 9-18

Neurons and fractals: How reliable and useful are calculations of offractal dimensions?

Author keywords

Analysis methods; Cat; Fractal dimension; Retinal ganglion cells

Indexed keywords

ALGORITHM; ANIMAL CELL; ARTICLE; CAT; COMPUTER PROGRAM; FRACTAL ANALYSIS; IMAGE ANALYSIS; NONHUMAN; PRIORITY JOURNAL; RETINA GANGLION CELL;

EID: 0032100602     PISSN: 01650270     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0270(98)00021-1     Document Type: Article
Times cited : (147)

References (62)
  • 1
    • 3142536385 scopus 로고
    • Quantitative fractal analysis of dendritic trees of identified rabbit retinal ganglion cells
    • Amthor FR. Quantitative fractal analysis of dendritic trees of identified rabbit retinal ganglion cells. Soc Neurosci 1988;14(1):602.
    • (1988) Soc Neurosci , vol.14 , Issue.1 , pp. 602
    • Amthor, F.R.1
  • 2
    • 0000498214 scopus 로고
    • Efficient box-counting determination of generalized fractal dimension
    • Block A, von Bloh W, Schellnhuber HJ. Efficient box-counting determination of generalized fractal dimension. Phys Rev A 1990;42(4):1869-74.
    • (1990) Phys Rev A , vol.42 , Issue.4 , pp. 1869-1874
    • Block, A.1    Von Bloh, W.2    Schellnhuber, H.J.3
  • 4
    • 0016196756 scopus 로고
    • The morphological types of ganglion cells of the domestic cat's retina
    • Boycott BB, Wässle H. The morphological types of ganglion cells of the domestic cat's retina. J Physiol 1974;240:397-419.
    • (1974) J Physiol , vol.240 , pp. 397-419
    • Boycott, B.B.1    Wässle, H.2
  • 6
    • 0028066430 scopus 로고
    • The application of fractal geometric analysis to microscopic images
    • Cross SS. The application of fractal geometric analysis to microscopic images. Micron 1994;25:101-13.
    • (1994) Micron , vol.25 , pp. 101-113
    • Cross, S.S.1
  • 7
    • 0024451048 scopus 로고
    • Monoamine-acumulating ganglion cell type of the cat's retina
    • Dacey DM. Monoamine-acumulating ganglion cell type of the cat's retina. J Comp Neurol 1989;288:59-80.
    • (1989) J Comp Neurol , vol.288 , pp. 59-80
    • Dacey, D.M.1
  • 9
    • 0003586464 scopus 로고    scopus 로고
    • New York: Plenum Press
    • Feder J. Fractals. New York: Plenum Press, 1998.
    • (1998) Fractals
    • Feder, J.1
  • 11
    • 0028095355 scopus 로고
    • Complexity and scaling properties of amacrine, ganglion, horizontal and bipolar cells in the turtle retina
    • Fernandez E, Eldred WD, Ammermüller J, Block A, von Bloh W, Kolb H. Complexity and scaling properties of amacrine, ganglion, horizontal and bipolar cells in the turtle retina. J Comp Neurol 1994;347:397-408.
    • (1994) J Comp Neurol , vol.347 , pp. 397-408
    • Fernandez, E.1    Eldred, W.D.2    Ammermüller, J.3    Block, A.4    Von Bloh, W.5    Kolb, H.6
  • 12
    • 49349121443 scopus 로고
    • The use of dilation logic on the Quantimet to achieve fractal dimension characterisation of textured and structured profiles
    • Flook AG. The use of dilation logic on the Quantimet to achieve fractal dimension characterisation of textured and structured profiles. Powder Techn 1978;21:295-8.
    • (1978) Powder Techn , vol.21 , pp. 295-298
    • Flook, A.G.1
  • 13
    • 0026333412 scopus 로고
    • A method for determination of fractal dimensions of sialographic images
    • Honda E, Domon M, Sasaki T. A method for determination of fractal dimensions of sialographic images. Invest Radiol 1991;26:894-901.
    • (1991) Invest Radiol , vol.26 , pp. 894-901
    • Honda, E.1    Domon, M.2    Sasaki, T.3
  • 14
    • 0027517292 scopus 로고
    • Neuropeptide Y immunoreactivity identifies a group of gamma-type retinal ganglion cells in the cat
    • Hutsler JJ, White CA, Chalupa LM. Neuropeptide Y immunoreactivity identifies a group of gamma-type retinal ganglion cells in the cat. J Comp Neurol 1993;336:468-80.
    • (1993) J Comp Neurol , vol.336 , pp. 468-480
    • Hutsler, J.J.1    White, C.A.2    Chalupa, L.M.3
  • 16
    • 0001221686 scopus 로고    scopus 로고
    • Categorisation of physiologically and morpho-logically characterised non-α/non-β cat retinal ganglion cells using fractal geometry
    • Jelinek HF, Spence I. Categorisation of physiologically and morpho-logically characterised non-α/non-β cat retinal ganglion cells using fractal geometry. Fractal 1997;5(4):673-84.
    • (1997) Fractal , vol.5 , Issue.4 , pp. 673-684
    • Jelinek, H.F.1    Spence, I.2
  • 17
    • 0344723956 scopus 로고    scopus 로고
    • Criteria for the use of fractal analysis in neuroscience
    • submitted
    • Jelinek HF, Spence I. Criteria for the use of fractal analysis in neuroscience. J Hirnforschung 1998; (submitted).
    • (1998) J Hirnforschung
    • Jelinek, H.F.1    Spence, I.2
  • 19
    • 0343185165 scopus 로고    scopus 로고
    • Form and function of cat retinal ganglion cells: The X and Y cells revisited using fractal analyis
    • Jelinek HF, Bowdren P, Spence I. Form and function of cat retinal ganglion cells: the X and Y cells revisited using fractal analyis. Int J Neurosci 1996;89:99.
    • (1996) Int J Neurosci , vol.89 , pp. 99
    • Jelinek, H.F.1    Bowdren, P.2    Spence, I.3
  • 21
    • 0005820122 scopus 로고
    • Applications of fractal geometry in pathology
    • Iannaccone PM, Khokha M, editors. Boca Raton, FL: CRC Press
    • Landini G. Applications of fractal geometry in pathology. In: Iannaccone PM, Khokha M, editors. Fractal Geometry in Biological Sciences. Boca Raton, FL: CRC Press, 1995.
    • (1995) Fractal Geometry in Biological Sciences
    • Landini, G.1
  • 22
    • 0027369121 scopus 로고
    • Notes on the implementation of the mass-radius method of fractal dimension estimation
    • Landini G, Rippin JW. Notes on the implementation of the mass-radius method of fractal dimension estimation. Comput Appl Biosci 1993;9(5):547-50.
    • (1993) Comput Appl Biosci , vol.9 , Issue.5 , pp. 547-550
    • Landini, G.1    Rippin, J.W.2
  • 23
    • 0021795207 scopus 로고
    • Central projections of the cat retinal ganglion cells
    • Leventhal A, Rodieck RW, Dreher B. Central projections of the cat retinal ganglion cells. J Comp Neurol 1985;237:216-26.
    • (1985) J Comp Neurol , vol.237 , pp. 216-226
    • Leventhal, A.1    Rodieck, R.W.2    Dreher, B.3
  • 25
    • 0025997399 scopus 로고
    • Morpholgenesis and territorial coverage by isolated mammalian retinal ganglion cells
    • Montague PR, Friedlander MJ. Morpholgenesis and territorial coverage by isolated mammalian retinal ganglion cells. J Neurosci 1989;11(5):1440-57.
    • (1989) J Neurosci , vol.11 , Issue.5 , pp. 1440-1457
    • Montague, P.R.1    Friedlander, M.J.2
  • 26
    • 0024387083 scopus 로고
    • Fractal analysis of ganglion cell dendritic branching patterns of the rat and cat retinae
    • Morigiwa K, Tauci M, Fukuda Y. Fractal analysis of ganglion cell dendritic branching patterns of the rat and cat retinae. Neurosci Res 1989;10:S131-40.
    • (1989) Neurosci Res , vol.10
    • Morigiwa, K.1    Tauci, M.2    Fukuda, Y.3
  • 27
    • 0028851944 scopus 로고
    • Use and abuse of fractal theory in neuroscience
    • Murray JD. Use and abuse of fractal theory in neuroscience. J Comp Neurol 1995;361:369-71.
    • (1995) J Comp Neurol , vol.361 , pp. 369-371
    • Murray, J.D.1
  • 28
    • 0027390786 scopus 로고
    • Early dendrite development in spinal cord cell cultures: A quantitative study
    • Neale EA, Bowers LM, Smith TG Jr. Early dendrite development in spinal cord cell cultures: a quantitative study. J Neurosci Res 1993;34:54-66.
    • (1993) J Neurosci Res , vol.34 , pp. 54-66
    • Neale, E.A.1    Bowers, L.M.2    Smith T.G., Jr.3
  • 30
    • 0028792437 scopus 로고
    • Retinal neurons and vessels are not fractal but space filling
    • Panico J, Sterling P. Retinal neurons and vessels are not fractal but space filling. J Comp Neurol 1995;361:479-90.
    • (1995) J Comp Neurol , vol.361 , pp. 479-490
    • Panico, J.1    Sterling, P.2
  • 33
    • 0025836039 scopus 로고
    • A fractal analysis of pyramidal neurons in mammalian motor cortex
    • Porter R, Ghosh S, Lange GD, Smith TG Jr. A fractal analysis of pyramidal neurons in mammalian motor cortex. Neurosci Lett 1991;130:112-6.
    • (1991) Neurosci Lett , vol.130 , pp. 112-116
    • Porter, R.1    Ghosh, S.2    Lange, G.D.3    Smith T.G., Jr.4
  • 34
    • 0028246082 scopus 로고
    • Structure and function of the retinal ganglion cells innervating the cat's geniculate wing: An in vitro study
    • Pu M, Berson DM, Pan T. Structure and function of the retinal ganglion cells innervating the cat's geniculate wing: An in vitro study. J Neurosci 1994;14(7):4338-58.
    • (1994) J Neurosci , vol.14 , Issue.7 , pp. 4338-4358
    • Pu, M.1    Berson, D.M.2    Pan, T.3
  • 35
    • 0024245513 scopus 로고
    • Dendritic growth and remodeling of cat retinal ganglion cells during fetal and postnatal development
    • Ramoa AF, Campbell G, Schatz CJ. Dendritic growth and remodeling of cat retinal ganglion cells during fetal and postnatal development. J Neurosci 1988;8:4239-61.
    • (1988) J Neurosci , vol.8 , pp. 4239-4261
    • Ramoa, A.F.1    Campbell, G.2    Schatz, C.J.3
  • 36
    • 0000821690 scopus 로고
    • NIH Image: A public domain image processing program for the Macintosh
    • Rasband WS, Bright DS. NIH Image: A public domain image processing program for the Macintosh. Microbeam Anal 1995;4:137-49.
    • (1995) Microbeam Anal , vol.4 , pp. 137-149
    • Rasband, W.S.1    Bright, D.S.2
  • 37
    • 0021368150 scopus 로고
    • An empirical formulation relating boundary lengths to resolution in specimens showing 'non-ideally fractal' dimensions
    • Rigaut JP. An empirical formulation relating boundary lengths to resolution in specimens showing 'non-ideally fractal' dimensions. J Microsc 1983;133(1):41-54.
    • (1983) J Microsc , vol.133 , Issue.1 , pp. 41-54
    • Rigaut, J.P.1
  • 39
    • 0021022627 scopus 로고
    • Morphology of physiologically identified X-, Y- and W-type retinal ganglion cells of the cat
    • Saito HA. Morphology of physiologically identified X-, Y- and W-type retinal ganglion cells of the cat. J Comp Neurol 1983;221:279-88.
    • (1983) J Comp Neurol , vol.221 , pp. 279-288
    • Saito, H.A.1
  • 40
    • 0345849958 scopus 로고
    • Scale-invariant diffusive growth: A dissipative principle relating neuronal form to function
    • Maynard-Smith J, Vida G, editors. Manchester: Manchester University Press
    • Schierwagen A. Scale-invariant diffusive growth: a dissipative principle relating neuronal form to function. In: Maynard-Smith J, Vida G, editors. Organisational Constraints on the Dynamics of Evolution. Manchester: Manchester University Press, 1990.
    • (1990) Organisational Constraints on the Dynamics of Evolution
    • Schierwagen, A.1
  • 43
    • 0027954682 scopus 로고
    • Comparative fractal analysis of cultured glia derived from optic nerve and brain demonstrate different rates of morphological differentiation
    • Smith TG Jr, Behar TN. Comparative fractal analysis of cultured glia derived from optic nerve and brain demonstrate different rates of morphological differentiation. Brain Res 1994;634:181-90.
    • (1994) Brain Res , vol.634 , pp. 181-190
    • Smith T.G., Jr.1    Behar, T.N.2
  • 44
    • 0000768739 scopus 로고
    • Fractal studies of neuronal and glial cellular morphology
    • Iannacconne PM, Khokha M, editors. New York: CRC Press
    • Smith TG Jr, Lange GD. Fractal studies of neuronal and glial cellular morphology. In: Iannacconne PM, Khokha M, editors. Fractal Geometry in Biological Systems. New York: CRC Press, 1995:173-88.
    • (1995) Fractal Geometry in Biological Systems , pp. 173-188
    • Smith T.G., Jr.1    Lange, G.D.2
  • 47
    • 0027273255 scopus 로고
    • Quantitative phylogenetic constancy of cerebellar Purkinje cell morphological complexity
    • Smith TG Jr, Brauer K, Reichenbach A. Quantitative phylogenetic constancy of cerebellar Purkinje cell morphological complexity. J Comp Neurol 1993;331:402-6.
    • (1993) J Comp Neurol , vol.331 , pp. 402-406
    • Smith T.G., Jr.1    Brauer, K.2    Reichenbach, A.3
  • 48
    • 0030298487 scopus 로고    scopus 로고
    • Fractal methods in cellular morphology - Dimensions, lacunarity and multifractals
    • Smith TG Jr, Lange GD, Marks WB. Fractal methods in cellular morphology - dimensions, lacunarity and multifractals. J Neurosci Methods 1996;69:123-36.
    • (1996) J Neurosci Methods , vol.69 , pp. 123-136
    • Smith T.G., Jr.1    Lange, G.D.2    Marks, W.B.3
  • 49
    • 0023109932 scopus 로고
    • W-cells in the cat retina: Correlated morphological and physiological evidence for two distinct classes
    • Stanford LR. W-cells in the cat retina: Correlated morphological and physiological evidence for two distinct classes. J Neurophysiol 1987a;57(1):218-244.
    • (1987) J Neurophysiol , vol.57 , Issue.1 , pp. 218-244
    • Stanford, L.R.1
  • 50
    • 0023594982 scopus 로고
    • X-cells in the cat retina: Relationships between morphology and physiology of a class of cat retinal ganglion cells
    • Stanford LR. X-cells in the cat retina: relationships between morphology and physiology of a class of cat retinal ganglion cells. J Neurophysiol 1987b;58(5):940-963.
    • (1987) J Neurophysiol , vol.58 , Issue.5 , pp. 940-963
    • Stanford, L.R.1
  • 51
    • 0021262254 scopus 로고
    • Structure/function relationships of retinal ganglion cells in the cat
    • Stanford LR, Sherman MS. Structure/function relationships of retinal ganglion cells in the cat. Brain Res 1984;297:381-6.
    • (1984) Brain Res , vol.297 , pp. 381-386
    • Stanford, L.R.1    Sherman, M.S.2
  • 52
    • 0015595767 scopus 로고
    • Retinal structure in smooth dogfish, mustellus canis: General description and light microscopy of giant ganglion cells
    • Stell WK, Witkovsky P. Retinal structure in smooth dogfish, mustellus canis: General description and light microscopy of giant ganglion cells. J Comp Neurol 1973;148:1-32.
    • (1973) J Comp Neurol , vol.148 , pp. 1-32
    • Stell, W.K.1    Witkovsky, P.2
  • 53
    • 0018956747 scopus 로고
    • Correlation between soma size and dendritic morphology in cat retinal ganglion cells: Evidence of further variation in the gamma cell class
    • Stone J, Clarke R. Correlation between soma size and dendritic morphology in cat retinal ganglion cells: Evidence of further variation in the gamma cell class. J Comp Neurol 1980;192:122-217.
    • (1980) J Comp Neurol , vol.192 , pp. 122-217
    • Stone, J.1    Clarke, R.2
  • 55
    • 0026570356 scopus 로고
    • Fractal dimension of the dendritic tree of cerebellar Purkinje cell during onto- and phylogenetic development
    • Takeda T, Ishikawa A, Ohtomo K, Kobayashi Y, Matsuoka T. Fractal dimension of the dendritic tree of cerebellar Purkinje cell during onto- and phylogenetic development. Neurosci Res 1992;13:19-31.
    • (1992) Neurosci Res , vol.13 , pp. 19-31
    • Takeda, T.1    Ishikawa, A.2    Ohtomo, K.3    Kobayashi, Y.4    Matsuoka, T.5
  • 56
    • 0344291922 scopus 로고
    • Fractal geometry
    • Iannacconne PM, Khokha M, editors. New York: CRC Press
    • Viscek, T. Fractal geometry. In: Iannacconne PM, Khokha M, editors. Fractal Geometry in Biological Systems. New York: CRC Press, 1995:317-46.
    • (1995) Fractal Geometry in Biological Systems , pp. 317-346
    • Viscek, T.1
  • 57
    • 0025822368 scopus 로고
    • Functional architecture of the mammalian retina
    • Wässle H, Boycott BB. Functional architecture of the mammalian retina. Physiol Rev 1991;71(2):447-80.
    • (1991) Physiol Rev , vol.71 , Issue.2 , pp. 447-480
    • Wässle, H.1    Boycott, B.B.2
  • 58
    • 0019829753 scopus 로고
    • Morphology and mosaic of on- and off-beta cells in the cat retina and some functional considerations
    • Wässle H, Boycott BB, Illing RB. Morphology and mosaic of on- and off-beta cells in the cat retina and some functional considerations. Proc R Soc London B Biol Sci 1981a;212:177-197.
    • (1981) Proc R Soc London B Biol Sci , vol.212 , pp. 177-197
    • Wässle, H.1    Boycott, B.B.2    Illing, R.B.3
  • 59
    • 0019481023 scopus 로고
    • Morphology and topography of on- and off-alpha cells in cat retina
    • Wässle H, Peichl L, Boycott BB. Morphology and topography of on- and off-alpha cells in cat retina. Proc R Soc London B Biol Sci 1981b;212:157-175.
    • (1981) Proc R Soc London B Biol Sci , vol.212 , pp. 157-175
    • Wässle, H.1    Peichl, L.2    Boycott, B.B.3
  • 60
    • 0023340405 scopus 로고
    • Morphological and immunocytochemical identification of indoleamine-accumulating neurons in the cat retina
    • Wässle H, Voigt T, Patel B. Morphological and immunocytochemical identification of indoleamine-accumulating neurons in the cat retina. J Neurosci 1987;7(5):1574-87.
    • (1987) J Neurosci , vol.7 , Issue.5 , pp. 1574-1587
    • Wässle, H.1    Voigt, T.2    Patel, B.3
  • 62
    • 0026722551 scopus 로고
    • Lucifer yellow, retrograde tracers and fractal analysis characterise ferret retinal ganglion cells
    • Wingate RJT, Fitzgibbon T, Webb EI, Thompson ID. Lucifer yellow, retrograde tracers and fractal analysis characterise ferret retinal ganglion cells. J Comp Neurol 1992;323:449-74.
    • (1992) J Comp Neurol , vol.323 , pp. 449-474
    • Wingate, R.J.T.1    Fitzgibbon, T.2    Webb, E.I.3    Thompson, I.D.4


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