Open Access
Fractals in the Biological Sciences
N. C. Kenkel,D. J. Walker +1 more
TLDR
In this paper, the authors demonstrate that concepts derived from fractal and chaos theory are fundamental to the description and modelling of scalerelated phenomena in biology, from the molecular to ecosystem levels of organization.Abstract:
The importance of spatial and temporal scaling to the study of biological systems and processes has long been recognized. We demonstrate that concepts derived from fractal and chaos theory are fundamental to the description and modelling of scalerelated phenomena in biology, from the molecular to ecosystem levels of organization. Algorithms for estimating the fractal dimension are described, and numerous applications of fractal theory in the biological sciences are summarized.read more
Citations
More filters
Journal ArticleDOI
Fractal and multifractal analysis: a review.
TL;DR: The aim of this review is to explain and to categorize the various algorithms into groups and their application in the field of medical signal analysis.
Journal ArticleDOI
Assessing and analyzing 3D architecture of woody root systems, a review of methods and applications in tree and soil stability, resource acquisition and allocation
Frédéric Danjon,Bert Reubens +1 more
TL;DR: The objective of this paper is to give a detailed overview of the state of the art techniques for 3D root system architecture measurement and analysis and to give examples of applications in this field and to be used as a sort of manual for people who want to improve their practice or to enter this quite new research field.
Journal ArticleDOI
Comparison of ecological communities: the problem of sample representativeness
TL;DR: In this paper, the authors measured the average similarity among replicate samples randomly drawn from a community, i.e., autosimilarity, which is measured with Jaccard Coefficient in this study.
Journal ArticleDOI
Fractal Dimension in Human Cerebellum Measured by Magnetic Resonance Imaging
TL;DR: Fractal dimension of human cerebellum (CB) was measured in magnetic resonance images of 24 healthy young subjects using the box-counting method and indicated that the CB skeleton is a highly fractal structure.
Journal ArticleDOI
Rényi dimensions analysis of soil particle-size distributions
TL;DR: In this paper, the Renyi dimension analysis was used to detect scaling properties in soil particle distributions obtained by laser diffractometry, and the results suggest the applicability of Renyi dimensions spectra to soil characterization for modeling empirical data and generating synthetic data by using algorithms capable of generating such kind of measures.
References
More filters
Book
The Fractal Geometry of Nature
TL;DR: This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.
Book
Fractal Geometry: Mathematical Foundations and Applications
TL;DR: In this article, a mathematical background of Hausdorff measure and dimension alternative definitions of dimension techniques for calculating dimensions local structure of fractals projections of fractality products of fractal intersections of fractalities.
Journal ArticleDOI
Long-Term Storage Capacity of Reservoirs
TL;DR: In this paper, a solution of the problem of determining the reservoir storage required on a given stream, to guarantee a given draft, is presented, where a long-time record of annual total...