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Author |
Duarte-Neto, P.; Stosic, B.; Stosic, T.; Lessa, R.; Milošević, M.V.; Stanley, H.E. |
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Title |
Multifractal properties of a closed contour : a peek beyond the shape analysis |
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A1 Journal article |
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Year  |
2014 |
Publication |
PLoS ONE |
Abbreviated Journal |
Plos One |
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Volume |
9 |
Issue |
12 |
Pages |
e115262 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Condensed Matter Theory (CMT) |
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Abstract |
In recent decades multifractal analysis has been successfully applied to characterize the complex temporal and spatial organization of such diverse natural phenomena as heartbeat dynamics, the dendritic shape of neurons, retinal vessels, rock fractures, and intricately shaped volcanic ash particles. The characterization of multifractal properties of closed contours has remained elusive because applying traditional methods to their quasi-one-dimensional nature yields ambiguous answers. Here we show that multifractal analysis can reveal meaningful and sometimes unexpected information about natural structures with a perimeter well-defined by a closed contour. To this end, we demonstrate how to apply multifractal detrended fluctuation analysis, originally developed for the analysis of time series, to an arbitrary shape of a given study object. In particular, we show the application of the method to fish otoliths, calcareous concretions located in fish's inner ear. Frequently referred to as the fish's “black box”, they contain a wealth of information about the fish's life history and thus have recently attracted increasing attention. As an illustrative example, we show that a multifractal approach can uncover unexpected relationships between otolith contours and size and age of fish at maturity. |
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Wos |
000347239900030 |
Publication Date |
2014-12-26 |
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ISSN |
1932-6203; |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
2.806 |
Times cited |
6 |
Open Access |
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Notes |
; Funding: This work was supported by CNPq, Brazil (Projects No. 201506/2011-4, No. 303251/2010-7, and No. 306719/2012-6). MVM acknowledges support from Flemish Science Foundation (FWO-Vlaanderen) and CAPES PVE action No. BEX1392/ 11-5. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript. ; |
Approved |
Most recent IF: 2.806; 2014 IF: 3.234 |
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Call Number |
UA @ lucian @ c:irua:123770 |
Serial |
2218 |
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Author |
Duarte-Neto, P.; Stosic, T.; Stosic, B.; Lessa, R.; Milošević, M.V. |
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Title |
Interplay of model ingredients affecting aggregate shape plasticity in diffusion-limited aggregation |
Type |
A1 Journal article |
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Year |
2014 |
Publication |
Physical review : E : statistical, nonlinear, and soft matter physics |
Abbreviated Journal |
Phys Rev E |
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Volume |
90 |
Issue |
1 |
Pages |
012312 |
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Keywords |
A1 Journal article; Condensed Matter Theory (CMT) |
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Abstract |
We analyze the combined effect of three ingredients of an aggregation model-surface tension, particle flow and particle source-representing typical characteristics of many aggregation growth processes in nature. Through extensive numerical experiments and for different underlying lattice structures we demonstrate that the location of incoming particles and their preferential direction of flow can significantly affect the resulting general shape of the aggregate, while the surface tension controls the surface roughness. Combining all three ingredients increases the aggregate shape plasticity, yielding a wider spectrum of shapes as compared to earlier works that analyzed these ingredients separately. Our results indicate that the considered combination of effects is fundamental for modeling the polymorphic growth of a wide variety of structures in confined geometries and/or in the presence of external fields, such as rocks, crystals, corals, and biominerals. |
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Publisher |
American Institute of Physics |
Place of Publication |
Woodbury (NY) |
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Wos |
000341245400009 |
Publication Date |
2014-07-31 |
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ISSN |
1539-3755;1550-2376; |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
2.366 |
Times cited |
3 |
Open Access |
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Notes |
; This work was supported by CNPq, Brazil (Projects No. 201506/2011-4, No. 303251 /2010-7, and No. 306719/2012-6). M.V.M. acknowledges support from Flemish Science Foundation (FWO-Vlaanderen) and CAPES PVE action No. BEX1392/11-5. The crystal structure appearing in Fig. 11 was provided courtesy of L. dos Santos, UFPE, Brazil. ; |
Approved |
Most recent IF: 2.366; 2014 IF: 2.288 |
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Call Number |
UA @ lucian @ c:irua:119267 |
Serial |
1708 |
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