Journal ArticleDOI
Fractal dimensions and multifractility in vascular branching.
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TLDR
The presence of multifractility is confirmed, the legitimacy of the defined dimension is affirmed in the sense of the theoretical Hausdorff limit in as much as this limit can be reached with experimental data.About:
This article is published in Journal of Theoretical Biology.The article was published on 2001-09-21. It has received 110 citations till now. The article focuses on the topics: Fractal dimension on networks & Multifractal system.read more
Citations
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Journal ArticleDOI
Uses and abuses of fractal methodology in ecology
John M. Halley,Stephen Hartley,Athanasios S. Kallimanis,William E. Kunin,Jack J. Lennon,Stefanos P. Sgardelis +5 more
TL;DR: The value of fractal methods, in particular for applications to spatial ecology, is reviewed, and potential pitfalls are outlined.
Journal ArticleDOI
Fractal Analysis of the Vascular Tree in the Human Retina
TL;DR: The methods of determining the fractal dimension for branching trees are reviewed together with proposed models for the optimal formation (Murray Principle) of the branching vascular tree in the human retina and the branching pattern of the human bronchial tree.
Journal ArticleDOI
Sizing up allometric scaling theory.
TL;DR: This work illustrates the utility of the WBE framework in reasoning about allometric scaling, while at the same time suggesting that the current canonical model may need amendments to bring its predictions fully in line with available datasets.
Journal ArticleDOI
Quantifying optical microangiography images obtained from a spectral domain optical coherence tomography system
TL;DR: This study proposes to quantify OMAG images obtained with a spectral domain optical coherence tomography system, and a technique for determining three measureable parameters (the fractal dimension, the vessel length fraction, and the vessel area density) is proposed and validated.
Journal ArticleDOI
Functional Anatomy and Hemodynamic Characteristics of Vasa Vasorum in the Walls of Porcine Coronary Arteries
Mario Gössl,Michael Rosol,Nasser M. Malyar,Lorraine A. Fitzpatrick,Patricia E. Beighley,Mair Zamir,Erik L. Ritman +6 more
TL;DR: The results indicate that despite the restrictive topology of the space in which they are present, the branching architecture of the vasa vasorum trees, which the authors surveyed, is surprisingly similar to that of vasculature in general.
References
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Journal ArticleDOI
A general model for the origin of allometric scaling laws in biology
TL;DR: The model provides a complete analysis of scaling relations for mammalian circulatory systems that are in agreement with data and predicts structural and functional properties of vertebrate cardiovascular and respiratory systems, plant vascular systems, insect tracheal tubes, and other distribution networks.
Book
Fractals: Form, Chance and Dimension
TL;DR: Fractals as mentioned in this paper is a new field of mathematics that models the most interdisciplinary grab-bag of naturally occurring forms, such as coastlines and clouds, crystals, snowflakes and cosmological structures.
Book
Chaos and Fractals: New Frontiers of Science
TL;DR: This book discusses Fractal Image Compression, the Causality Principle, Deterministic Laws and Chaos, and the Backbone of Fractals.
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