The Sholl analysis of neuronal cell images: Semi-log or log-log method?

Journal of Theoretical Biology

Volumn 245, Issue 1, 2007, Pages 130-140

  Milošević, Nebojša T ^a   Ristanović, Dušan ^a  

^a UNIVERSITY OF BELGRADE   (Serbia)

Author keywords

Fractal analysis; Inverse power laws; Morphometric parameters; Sholl analysis; Topological trees

Indexed keywords

FRACTAL ANALYSIS; MORPHOMETRY; NERVOUS SYSTEM; NUMERICAL METHOD; TOPOLOGY;

ANALYTIC METHOD; ARTICLE; CORRELATION COEFFICIENT; DENDRITE; FRACTAL ANALYSIS; INTERMETHOD COMPARISON; LOGLINEAR MODEL; MATHEMATICAL MODEL; NERVE CELL; PRIORITY JOURNAL; SHOLL ANALYSIS;

DENDRITES; FRACTALS; HUMANS; MATHEMATICS; MODELS, NEUROLOGICAL; NEURONS; PYRAMIDAL CELLS;

EID: 33846880671     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2006.09.022     Document Type: Article

References (38)

1. Bassingthwaighte J.B., Liebovitch L.S., and West B.J. Fractal Physiology (1994), Oxford University Press, New York, Oxford
2. Caserta F., Eldred W.D., Fernández E., Hausman R.E., Stanford L.R., Bulderev S.V., et al. Determination of fractal dimension of physiologically characterized neurons in two and three dimensions. J. Neurosci. Meth. 56 (1995) 133-144
3. Cohen D.H., and Sherman S.M. The nervous system. In: Berne R.M., and Levy M.N. (Eds). Physiology. second ed (1988), The C.V. Mosby Co., St. Louis, Washington DC, Toronto 69-311
4. Cook S.C., and Wellman C.L. Chronic stress alters dendritic morphology in rat medial prefrontal cortex. J. Neurobiol. (2004) 236-248
5. Duan H., Wearne S.L., Rocher A.B., Macedo A., Morrison J.H., and Hof P.R. Age-related dendritic and spine changes in corticocortically projecting neurons in macaque monkeys. Cereb. Cortex 13 (2003) 950-961
6. Elston G.N. Interlaminar differences in the pyramidal cell phenotype in cortical areas 7m and STP (the superior temporal polysensory area) of the macaque monkey. Exp. Brain Res. 138 (2001) 141-152
7. Elston G.N., and Zietsch B. Fractal analysis as a tool for studying specialization in neuronal structure: the study of the evolution of the primate cerebral cortex and human intellect. Adv. Complex Syst. 8 (2005) 217-227
8. Fernández E., Bolea J.A., Ortega G., and Louis E. Are neurons multifractals?. J. Neurosci. Meth. 89 (1999) 151-157
9. Fernández E., and Jelinek F. Use of fractal theory in neuroscience: mathods, advantages and potintialproblems. Methods 24 (2001) 309-321
10. Fiala J.C., and Harris K.M. Dendrite structure. In: Stuart G., Spruston N., and Häusser M. (Eds). Dendrites (2001), Oxford University Press, Oxford, New York 1-34
11. Galhardo V., and Lima D. Structural characteristics of marginal (lamina I) spinal cord neurons in the cat: a Golgi study. J. Comp. Neurol. 414 (1999) 315-333
12. Gao W.J., and Zheng Z.H. Target-specific differences in somatodendritic morphology of Layer V pyramidal neurons in rat motor cortex. J. Comp. Neurol. 476 (2004) 174-175
13. Gobel S. Golgi studies of the neurons in layer II of the dorsal horn of the medulla (trigeminal nucleus caudalis). J. Comp. Neurol. 180 (1978) 395-413
14. Jelinek H.F., Elston G.N., and Zietsch B. Fractal analysis: pitfalls and revelations in neuroscience. In: Losa G.A., Merlini D., Nonnenmacher T.F., and Weibel E.R. (Eds). Fractals in Biology and Medicine IV (2005), Birkhäuser Verlag, Basel, Boston, Berlin 85-94
15. Jelinek H.F., and Fernández E. Neurons and fractals: how reliable and useful are calculations of fractal dimensions?. J. Neurosci. Meth. 81 (1998) 9-18
16. Jelinek H.F., and Spence I.. Categorization of physiologiucally and morphologically characterized non-α/non-β cat retinal ganglion cells using fractal geometry. Fractals 5 (1997) 673-684
17. Kheirandish L., Gozal D., Pequignot J.M., Pequignot J., and Row B.W. Intermittent hypoxia during development induces long-term alterations in spatial working memory, monoamines, and dendritic branching in rat frontal cortex. Pediatr. Res. 58 (2005) 594-549
18. Lima D., and Coimbra A. A Golgi study of the neuronal population of the marginal zone (lamina I) of the rat spinal cord. J. Comp. Neurol. 244 (1986) 53-71
19. Lowndes M., Stanford D., and Stewart M.G. A system for the reconstruction and analysis of dendritic fields. J. Neurosci. Meth. 31 (1990) 235-245
20. Mandelbrot B.B. The Fractal Geometry of Nature (1982), WN Freeman, New York
21. Mandelbrot B.B. The Fractal Geometry of Nature. 20th ed (2004), NW Freeman and Co., New York
22. Martinez-Tellez R., Gomez-Villalobos Med.J., and Flores G. Alteration in dendritic morphology of cortical neurons in rats with diabetes mellitus induced by streptozotocin. Brain Res. 1048 (2005) 108-115
23. Milošević N.T., and Ristanović D. Fractality of dendritic arborization of spinal cord neurons. Neurosci. Lett. 396 (2006) 172-176 10.1016/j.neulet.2005.11.031
24. Milošević N.T., Ristanović D., and Stanković J.B. Fractal analysis of the laminar organization of spinal cord neurons. J. Neurosci. Meth. 146 (2005) 198-204 10.1016/j.jneumeth.2005.02.009
25. Murray J.D. Use and abuse of fractal theory in neuroscience. J. Comp. Neurol. 361 (1995) 369-371
26. Neale E.A., Bowers L.M., and Smith Jr. T.G. Early dendrite development in spinal cord cell cultures: a quantitative study. J. Neurosci. Res. 34 (1993) 54-66
27. Nelson A.J., Juraska J.M., Musch T.I., and Iwamoto G.A. Neuroplastic adaptations to exercise: neuronal remodeling in cardiorespiratory and locomotor areas. J. Appl. Physiol. 99 (2005) 2312-2322
28. Peichl L. Alpha and delta ganglion cells in the rat retina. J. Comp. Neurol. 286 (1989) 120-139
29. Richardson L.F. The problem contiguity, an appendix to Statistics of Deadly Quarrels. Gen. Sys. 6 (1961) 139-187
30. Ristanović D., Nedeljkov V., Stefanović B.D., Milošević N.T., Grgurević M., and Štulić V. Fractal and nonfractal analysis of cell images: comparison and application to neuronal dendritic arborization. Biol. Cybern. 87 (2002) 278-288
31. Schoenen J. The dendritic organization of the human spinal cord: the dorsal horn. Neuroscience 7 (1982) 2057-2087
32. Sholl D.A. Dendritic organization in the neurons of the visual and motor cortices of the cat. J. Anat. 87 (1953) 387-406
33. Smith Jr. T.G., Lange G.D., and Marks W.B. Fractal metods and results in cellular morphology: dimensions, lacunarity and multifractals. J. Neurosci. Meth. 69 (1996) 123-136
34. Takeda T., Ishikawa A., Ohtomo K., Kobayashi Y., and Matsuoka T. Fractal dimension of dendritic tree of cerebellar Purkinje cell during onto- and phylogenetic development. Neurosci. Res. 13 (1992) 19-31
35. Uylings H.B.M., and van Pelt J. Measures for quantifying dendritic arborizations. Network: Comput. Neural Syst. 13 (2002) 397-414
36. van Pelt J. Effect of pruning on dendritic tree topology. J. Theor. Biol. 186 (1997) 17-31
37. Vega E., Gomez-Villalobos MdeJ., and Flores G. Alteration in dendritic morphology of pyramidal neurons from the prefrontal cortex of rats with renovascular hypertension. Brain Res. 1021 (2004) 112-118
38. Wässle H., Voigt T., and Patel B. Morphological and immunosythochemical identification of indoleamine-accumulating neurons in the cat retina. J. Neurosci. 7 (1987) 1574-1585