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The Fractal Geometry of the Brain

  • Book
  • © 2016

Overview

Editors:
  1. Antonio Di Ieva

    1. Department of Surgery Division of Neurosurgery, University of Toronto St. Michael's Hospital, Toronto, Canada

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  • Provides a thorough overview of fractal analysis that is accessible to clinicians and non-mathematicians
  • Only book to provide information on fractal analysis specifically for the neurosciences
  • Provides information on webpages and software that can be used for fractal analysis

Part of the book series: Springer Series in Computational Neuroscience (NEUROSCI)

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Table of contents (37 chapters)

  1. Front Matter

    Pages i-xxii
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  2. Introduction to Fractal Geometry and Its Applications to Neurosciences

    1. Front Matter

      Pages 1-1
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    2. The Fractal Geometry of the Brain: An Overview

      • Antonio Di Ieva
      Pages 3-12

    3. Box-Counting Fractal Analysis: A Primer for the Clinician

      • Audrey L. Karperien, Herbert F. Jelinek
      Pages 13-43

    4. Tenets and Methods of Fractal Analysis (1/f Noise)

      • Tatjana Stadnitski
      Pages 45-64

    5. Tenets, Methods, and Applications of Multifractal Analysis in Neurosciences

      • Renaud Lopes, Antoine Ayache
      Pages 65-79

  3. Fractals in Neuroanatomy and Basic Neurosciences

    1. Front Matter

      Pages 81-81
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    2. Fractals in Neuroanatomy and Basic Neurosciences: An Overview

      • Antonio Di Ieva
      Pages 83-89

    3. Morphology and Fractal-Based Classifications of Neurons and Microglia

      • Audrey L. Karperien, Herbert F. Jelinek
      Pages 91-108

    4. The Morphology of the Brain Neurons: Box-Counting Method in Quantitative Analysis of 2D Image

      • Nebojša Milošević
      Pages 109-126

    5. Neuronal Fractal Dynamics

      • Małgorzata Kołodziej, Przemysław Waliszewski
      Pages 127-136

    6. Does a Self-Similarity Logic Shape the Organization of the Nervous System?

      • Diego Guidolin, Cinzia Tortorella, Raffaele De Caro, Luigi F. Agnati
      Pages 137-156

    7. Fractality of Cranial Sutures

      • Takashi Miura
      Pages 157-167

    8. The Fractal Geometry of the Human Brain: An Evolutionary Perspective

      • Michel A. Hofman
      Pages 169-186

  4. Fractals in Clinical Neurosciences

    1. Front Matter

      Pages 187-187
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    2. Fractal Analysis in Clinical Neurosciences: An Overview

      • Antonio Di Ieva
      Pages 189-198

    3. Fractal Analysis in Neurological Diseases

      • Francisco J. Esteban, Leticia Díaz-Beltrán, Antonio Di Ieva
      Pages 199-211

    4. Fractal Dimension Studies of the Brain Shape in Aging and Neurodegenerative Diseases

      • Luduan Zhang, Guang H. Yue
      Pages 213-232

    5. Fractal Analysis in Neurodegenerative Diseases

      • Daniel Pirici, Laurentiu Mogoanta, Daniela Adriana Ion, Samir Kumar-Singh
      Pages 233-249

    6. Fractal Analysis of the Cerebrovascular System Physiopathology

      • Martin Soehle
      Pages 251-262
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Keywords

About this book

Reviews the most intriguing applications of fractal analysis in neuroscience with a focus on current and future potential, limits, advantages, and disadvantages. Will bring an understanding of fractals to clinicians and researchers also if they do not have a mathematical background, and will serve as a good tool for teaching the translational applications of computational models to students and scholars of different disciplines. This comprehensive collection is organized in four parts: (1) Basics of fractal analysis; (2) Applications of fractals to the basic neurosciences; (3) Applications of fractals to the clinical neurosciences; (4) Analysis software, modeling and methodology.

Reviews

“This is a text about computer and mathematical modeling of basic and clinical Neurological Sciences. … Brain modelers would be interested in this book.” (Joseph Grenier, Amazon.com, June, 2018)

Editors and Affiliations

  • Department of Surgery Division of Neurosurgery, University of Toronto St. Michael's Hospital, Toronto, Canada

    Antonio Di Ieva

Bibliographic Information

  • Book Title: The Fractal Geometry of the Brain

  • Editors: Antonio Di Ieva

  • Series Title: Springer Series in Computational Neuroscience

  • DOI: https://doi.org/10.1007/978-1-4939-3995-4

  • Publisher: Springer New York, NY

  • eBook Packages: Biomedical and Life Sciences, Biomedical and Life Sciences (R0)

  • Copyright Information: Springer Science+Business Media New York 2016

  • Softcover ISBN: 978-1-4939-8148-9Published: 20 June 2018

  • eBook ISBN: 978-1-4939-3995-4Published: 03 August 2016

  • Series ISSN: 2197-1900

  • Series E-ISSN: 2197-1919

  • Edition Number: 1

  • Number of Pages: XXII, 585

  • Number of Illustrations: 89 b/w illustrations, 86 illustrations in colour

  • Topics: Neurosciences, Neurology

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