Open access peer-reviewed Edited volume

Fractal Analysis

Applications in Health Sciences and Social Sciences

Edited by Fernando Brambila

Universidad Autónoma de la Ciudad de México, Mexico

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.

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Fractal AnalysisApplications in Health Sciences and Social SciencesEdited by Fernando Brambila

Published: July 26th 2017

DOI: 10.5772/intechopen.68898

ISBN: 978-953-51-3214-1

Print ISBN: 978-953-51-3213-4

Books open for chapter submissions

2341 Total Chapter Downloads

chaptersDownloads

Open access peer-reviewed

1. Fractal Analysis of Cardiovascular Signals Empowering the Bioengineering Knowledge

By Ricardo L. Armentano, Walter Legnani and Leandro J. Cymberknop

244

Open access peer-reviewed

2. Complex Systems with Self‐Elimination of Dissipation with Implication in Bio‐Structural Behavior Via Nondifferentiability

By Maricel Agop, Decebal Vasincu, Daniel Timofte, Elena Simona Bacaita, Andrei Agop and Stefan Andrei Irimiciuc

245

Open access peer-reviewed

3. The Fractal Analysis of the Images and Signals in Medical Diagnostics

By Tayurskii Dmitrii Albertovich and Rusanova Inna Aleksandrovna

246

Open access peer-reviewed

4. Polyadic Cantor Fractals: Characterization, Generation, and Application as Ultrasonic Lenses

By Sergio Castiñeira-Ibañez, Daniel Tarrazó-Serrano, José Miguel Fuster, Pilar Candelas and Constanza Rubio

196

Open access peer-reviewed

5. Fractal to Non-Fractal Morphological Transitions in Stochastic Growth Processes

By José Roberto Nicolás-Carlock, Víctor Dossetti and José Luis Carrillo- Estrada

274

Open access peer-reviewed

6. The Altepetl: Fractal Modeling of a Pre-Hispanic Human Agency

By Fernando López Aguilar

209

Open access peer-reviewed

7. Fractal Analysis Based on Hierarchical Scaling in Complex Systems

By Yanguang Chen

254

Open access peer-reviewed

8. Characterization of Cultural Traits by Means of Fractal Analysis

By Sabrina Farías-Pelayo

217

Open access peer-reviewed

9. On Self‐Affine and Self‐Similar Graphs of Fractal Interpolation Functions Generated from Iterated Function Systems

By Sean Dillon and Vasileios Drakopoulos

239

Open access peer-reviewed

10. Pair-Pair Angular Correlation Function

By Filipe Leoncio Braga and Alexandre Barbosa de Souza

217

Edited volume and chapters are indexed in

  • Worldcat
  • OpenAIRE
  • Google Scholar
  • AZ ebsco
  • Base
  • CNKI

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