The Fractal Geometry of the Brain

  • Antonio Di Ieva

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

Table of contents

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

    1. Front Matter
      Pages 1-1
    2. Audrey L. Karperien, Herbert F. Jelinek
      Pages 13-43
  3. Fractals in Neuroanatomy and Basic Neurosciences

    1. Front Matter
      Pages 81-81
    2. Audrey L. Karperien, Herbert F. Jelinek
      Pages 91-108
    3. Małgorzata Kołodziej, Przemysław Waliszewski
      Pages 127-136
    4. Diego Guidolin, Cinzia Tortorella, Raffaele De Caro, Luigi F. Agnati
      Pages 137-156
    5. Takashi Miura
      Pages 157-167
  4. Fractals in Clinical Neurosciences

    1. Front Matter
      Pages 187-187
    2. Francisco J. Esteban, Leticia Díaz-Beltrán, Antonio Di Ieva
      Pages 199-211
    3. Daniel Pirici, Laurentiu Mogoanta, Daniela Adriana Ion, Samir Kumar-Singh
      Pages 233-249
    4. Gábor Závodszky, György Károlyi, István Szikora, György Paál
      Pages 263-277
    5. Antonio Di Ieva, Gernot Reishofer
      Pages 279-293
    6. Salim Lahmiri, Mounir Boukadoum, Antonio Di Ieva
      Pages 295-309
    7. Syed M. S. Reza, Atiq Islam, Khan M.
      Pages 333-349
    8. Miguel Martín-Landrove, Antonio Brú, Antonio Rueda-Toicen, Francisco Torres-Hoyos
      Pages 351-369
    9. Omar S. Al-Kadi, Antonio Di Ieva
      Pages 371-391
    10. Sridhar Poosapadi Arjunan, Dinesh Kant Kumar
      Pages 445-455
    11. Giorgio Bianciardi, Maria Eugenia Latronico, Claudio Traversi
      Pages 457-470
    12. Sergio Iglesias-Parro, Maria Felipa Soriano, Antonio José Ibáñez-Molina
      Pages 471-483
  5. Computational Fractal-Based Neurosciences

    1. Front Matter
      Pages 497-497
    2. William J. Watterson, Saba M. Moslehi, Julian H. Smith, Rick D. Montgomery, Richard P. Taylor
      Pages 553-565
    3. Lorenzo Livi, Alireza Sadeghian, Antonio Di Ieva
      Pages 567-580
  6. Antonio Di Ieva
    Pages E1-E1
  7. Back Matter
    Pages 581-585

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.


brain complexity computational neuroscience fractal analysis fractal geometry neuroscience neurology neuropathology neuroimaging neuro-oncology neuroradiology neurosurgery neuropsychology cognitive neurosciences fractal

Editors and affiliations

  • Antonio Di Ieva
    • 1
  1. 1.Department of Surgery Division of NeurosurgeryUniversity of Toronto St. Michael's HospitalTorontoCanada

Bibliographic information