Journal ArticleDOI
Use of fractal theory in neuroscience: methods, advantages, and potential problems.
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TLDR
Practical methods that are now available to allow the determination of the complexity and scaling relationships of anatomical and physiological patterns, including fractal dimensionality are reviewed.About:
This article is published in Methods.The article was published on 2001-08-01. It has received 194 citations till now. The article focuses on the topics: Fractal dimension on networks & Fractal analysis.read more
Citations
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Journal ArticleDOI
Dynamics of Forest Fragmentation and Connectivity Using Particle and Fractal Analysis
Ion Andronache,Marian Marin,Rico Fischer,Helmut Ahammer,Marko Radulovic,Ana-Maria Ciobotaru,Herbert F. Jelinek,Antonio Di Ieva,Radu-Daniel Pintilii,Cristian Constantin Drăghici,Grigore Vasile Herman,Alexandru-Sabin Nicula,Alexandru-Sabin Nicula,Adrian Gabriel Simion,Ioan Vlad Loghin,Daniel Constantin Diaconu,Daniel Peptenatu +16 more
TL;DR: The fractal and particle analysis provide a relevant methodological framework to further the understanding of the spatial effects of economic pressure on forestry.
Journal ArticleDOI
Quantitating the subtleties of microglial morphology with fractal analysis.
TL;DR: Current trends and methods of fractal analysis are reviewed, focusing on box counting analysis, including lacunarity and multifractal analysis, as applied to microglial morphology.
Journal ArticleDOI
Chronic Stress Induced Remodeling of the Prefrontal Cortex: Structural Re-Organization of Microglia and the Inhibitory Effect of Minocycline
Madeleine Hinwood,Ross J. Tynan,Janine L. Charnley,Sarah B. Beynon,Trevor A. Day,F. Rohan Walker +5 more
TL;DR: Stress increased the internal complexity of microglia, enhancing ramification without altering the overall area occupied by the cell and that this effect was more pronounced in larger cells, highlighting that increased ramification ofmicroglia may represent an important neurobiological mechanism through which microglial mediate the behavioral effects of chronic psychological stress.
Journal ArticleDOI
Microglia Morphological Categorization in a Rat Model of Neuroinflammation by Hierarchical Cluster and Principal Components Analysis.
María del Mar Fernández-Arjona,Jesús M. Grondona,Pablo Granados-Durán,Pedro Fernández-Llebrez,M. D. López-Avalos +4 more
TL;DR: Microglia undergo a quantifiable morphological change upon neuraminidase induced inflammation and an objective method for microglia classification based on morphological parameters is proposed.
Journal ArticleDOI
Fractal intermediates in the self-assembly of silicatein filaments
Meredith M. Murr,Daniel E. Morse +1 more
TL;DR: The results represent a potentially general mechanism for protein fiber self-assembly and are consistent with a model in which silicatein monomers associate into oligomers that are stabilized by intermolecular disulfide bonds.
References
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Journal ArticleDOI
The Fractal Geometry of Nature
TL;DR: A blend of erudition (fascinating and sometimes obscure historical minutiae abound), popularization (mathematical rigor is relegated to appendices) and exposition (the reader need have little knowledge of the fields involved) is presented in this article.
Journal Article
Dendritic organization in the neurons of the visual and motor cortices of the cat.
Book
Fractal Growth Phenomena
Tamás Vicsek,Harvey Gould +1 more
TL;DR: In this paper, B. Mandelbrot introduced fractal geometry fractal measures methods for determining fractal dimensions local growth models diffusion-limited growth growing self-affine surfaces cluster-cluster aggregation (CCA) computer simulations experiments on Laplacian growth new developments.
Book
The geometry of fractal sets
TL;DR: In this paper, a rigorous mathematical treatment of the geometrical aspects of sets of both integral and fractional Hausdorff dimension is presented, including questions of local density and the existence of tangents of such sets, and the dimensional properties of their projections in various directions.
Book
The science of fractal images
Michael F. Barnsley,Robert L. Devaney,Benoit B. Mandelbrot,Heinz-Otto Peitgen,Dietmar Saupe,Richard F. Voss,Yuval Fisher,Michael McGuire +7 more
TL;DR: Fractal Modelling of Real World Images and a Unified Approach to Fractal Curves and Plants are studied.