Fractal Analysis - Applications in Health Sciences and Social Sciences

Brambila, Fernando

Fractal Analysis - Applications in Health Sciences and Social Sciences

Edited by Fernando Brambila

Abstract: Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book. Here we present the use of fractal geometry, in particular, fractal analysis in two sciences: health sciences and social sciences and humanities. Part 1 is Health Science. In it, we present the latest advances in cardiovascular signs, kidney images to determine cancer growth, EEG signals, magnetoencephalography signals, and photosensitive epilepsy. We show how it is possible to produce ultrasonic lenses or even sound focusing. In Part 2, we present the use of fractal analysis in social sciences and humanities. It includes anthropology, hierarchical scaling, human settlements, language, fractal dimension of different cultures, cultural traits, and Mesoamerican complexity. And in Part 3, we present a few useful tools for fractal analysis, such as graphs and correlation, self-affine and self-similar graphs, and correlation function. It is impossible to picture today's research without fractal geometry.

JEL-codes: I11 (search for similar items in EconPapers)
Date: 2017
ISBN: 978-953-51-3213-4
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Chapters in this book:

Characterization of Cultural Traits by Means of Fractal Analysis: Sabrina Farias
Complex Systems with Self-Elimination of Dissipation with Implication in Bio-Structural Behavior Via Nondifferentiability: Maricel Agop, Decebal Vasnicu, Daniel V. Timofte, Simona Bacaita, Andrei Agop and Stefan Andrei Irimiciuc
Fractal Analysis Based on Hierarchical Scaling in Complex Systems: Yan-Guang Chen
Fractal Analysis of Cardiovascular Signals Empowering the Bioengineering Knowledge: Ricardo Armentano, Walter Edgardo Legnani and Leandro Cymberknop
Fractal to Non-Fractal Morphological Transitions in Stochastic Growth Processes: Jose Luis Carrillo-Estrada, Jose Roberto Nicolas-Carlock and Victor Dossetti
On Self-Affine and Self-Similar Graphs of Fractal Interpolation Functions Generated from Iterated Function Systems: Vasileios Drakopoulos and Sean Dillon
Pair-Pair Angular Correlation Function: Filipe Leoncio Braga and Alexandre Barbosa de Souza
Polyadic Cantor Fractals: Characterization, Generation, and Application as Ultrasonic Lenses: Sergio Castineira-Ibanez, Fuster Jose Miguel, Pilar Candelas, Constanza Rubio and Daniel Tarrazo
The Altepetl: Fractal Modeling of a Pre-Hispanic Human Agency: Fernando Lopez Aguilar
The Fractal Analysis of the Images and Signals in Medical Diagnostics: Dmitrii Tayurskii and Inna Rusanova

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Persistent link: https://EconPapers.repec.org/RePEc:ito:pbooks:4572

DOI: 10.5772/intechopen.68898

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