Contents

Part I Introduction to Fractal Geometry and Its Applications to Neurosciences

1 The Fractal Geometry of the Brain: An Overview. Antonio Di Ieva

2 Box-Counting Fractal Analysis: A Primer for the Clinician. Audrey L. Karperien and Herbert F. Jelinek

3 Tenets and Methods of Fractal Analysis (1/ f Noise). Tatjana Stadnitski

4 Multifractal Analysis in Neuroimaging. Renaud Lopes

5 Fractal time series: Background, estimation methods and performances. Camillo Porcaro, Sadaf Moaveninejad, Valentina D'Onofrio, Antonio Di Ieva

Part II Fractals in Neuroanatomy and Basic Neurosciences

6 Fractals in Neuroanatomy and Basic Neurosciences: An Overview. Antonio Di Ieva

7 Morphology and Fractal-Based Classifications of Neurons and Microglia. Audrey L. Karperien and Herbert F. Jelinek

8 The Morphology of the Brain Neurons: Box-Counting Method in Quantitative Analysis of 2D Image. Nebojša Miloševi¿

9 Neuronal Fractal Dynamics. Mägorzata Köodziej and Przemys¿aw Waliszewski

10 A Self-Similarity Logic Shape the Organization of the Nervous System? Diego Guidolin, Cinzia Tortorella, Raffaele De Caro, and Luigi F. Agnati

11 Fractality of Cranial Sutures. Takashi Miura

12 The Fractal Geometry of the Human Brain: An Evolutionary Perspective. Michel A. Hofman

Part III Fractals in Clinical Neurosciences

13 Fractal Analysis in Clinical Neurosciences: An Overview. Antonio Di Ieva

14 Fractal, pattern recognition, and AI: A personal journey in the Computational Neurosurgery. Antonio Di Ieva

15 Clinical sensitivity of fractal dynamics. Elzbieta Olejarczyk, Milena Cukic, Camillo Porcaro, Filippo Zappasodi, and Franca Tecchio

16 Tracking changes of brain morphology with fractal dimensionality. Leticia Díaz Beltrán, Christopher R. Madan, Carsten Finke, Stephan Krohn, Antonio Di Ieva, Francisco J. Esteban

17 Fractal Dimension Studies of the Brain Shape in Aging and Neurodegenerative Diseases. Jennilee M. Davidson, Luduan Zhang, Guang H. Yue, and Antonio Di Ieva

18 Fractal Analysis in Neurodegenerative Diseases. Daniel Pirici, Laurentiu Mogoanta, Daniela Adriana Ion, and Samir Kumar-Singh

19 Fractal Analysis of the Cerebrovascular System Physiopathology. Martin Soehle

20 Fractals and Chaos in the Hemodynamics of Intracranial Aneurysms. Gábor Závodszky, Dániel Gyürki, György Károlyi, István Szikora, and György Paál

22 Fractals in Neuroimaging. Salim Lahmiri, Mounir Boukadoum, and Antonio Di Ieva

23 Computational Fractal-Based Analysis of MR Susceptibility-Weighted Imaging (SWI) in Neuro-oncology and Neurotraumatology. Antonio Di Ieva

24 Texture Estimation for Abnormal Tissue Segmentation in Brain MRI. Syed M. S. Reza, Atiq Islam, and Khan M. Iftekharuddin

25 Multifractal analysis of brain tumor interface in glioblastoma. Jacksson S and Miguel Martín-Landrove

26 Fractal-Based analysis of histological features of Brain Tumors. Omar S. Al-Kadi and Antonio Di Ieva

27 Computational Fractal-Based Analysis of Brain Tumor Microvascular Networks. Antonio Di Ieva and Omar S. Al-Kadi

29 Percolation images: Fractal geometry features for brain tumor classification. Alessandra Lumini, Guilherme Freire Roberto, Leandro Alves Neves, Alessandro Santana Martins, Marcelo Zanchetta do Nascimento

30 On Multiscaling of Parkinsonian Rest Tremor Signals and Their Classification. Lorenzo Livi

31 Fractal phototherapy in maximixing retina and brain plasticity. Marina V Zueva, Natalia V Neroeva, Anastasia N Zhuravleva, Anna N Bogolepova, Vladislav V Kotelin, Denis V Fadeev, and Irina V Tsapenko

32 Fractal similarity of pain brain networks. Camille Fauchon, Hélène Bastuji, Roland Peyron, and Luis Garcia-Larrea

33 Fractal neurodynamics. Karolina Armonaite, Livio Conti, and Franca Tecchio

34 Fractal analysis of electrophysiological signals to detect and monitor depression: What we know so far? Milena ¿uki¿, Elzbieta Olejarzcyk, and Maie Bachmann

35 Point of Care Testing (POCT) in Psychopathology using Fractal Analysis and Hilbert Huang Transform of Electroencephalogram (EEG). Mohammed Khan, and Herbert Jelinek

36 Fractals in Affective and Anxiety Disorders. Sergio Iglesias-Parro, Maria Felipa Soriano, and Antonio José Ibáñez-Molina

37 EEG complexity analysis of brain states, tasks and ASD risk. Stephen S Wolfson, Ian Kirk, Karen Waldie, Chris King

38 Fractals in neuropsychology and cognitive neuroscience. Antonio Cerasa

Part IV Computational and Translational Fractal-Based Neurosciences

39 Computational and Translational Fractal-Based Neurosciences: An Overview. Antonio Di Ieva

40 ImageJ in Computational Fractal-Based Neuroscience: Pattern Extraction and Translational Research. Audrey L. Karperien and Herbert F. Jelinek

41 Fractal Analysis in MATLAB: A Tutorial for Neuroscientists. Juan Ruiz de Miras

42 Fractal Analysis in eye-tracking. Robert Newport, Sidong Liu, and Antonio Di Ieva

43Fractal Electronics for Stimulating and Sensing Neural Networks: Enhanced Electrical, Optical, and Cell Interaction Properties. S. Moslehi, C. Rowland, J.H. Smith, W.J. Watterson, Willem Griffiths, R.D. Montgomery, S. Philliber, C.A. Marlow, Maria-Thereza Perez, R.P. Taylor

44Fractal Resonance: Can Fractal Geometry be used to Optimize the Connectivity of Neurons to Artificial Implants? C. Rowland, S. Moslehi, J.H. Smith, B. Harland, J. Dalrymple-Alford, andR.P. Taylor

45 Fractal Fluency: Processing of Fractal Stimuli Across Sight, Sound, and Touch. Richard P. Taylor, Catherine Viengkham, Julian H. Smith, Conor Rowland, Saba Moslehi, Sabrina Stadlober, Anastasija Lesjak, Martin Lesjak, and Branka Spehar

46 Cognitive and neural representations of fractals in vision, music and action. Mauricio de Jesus Dias Martins

47 Fractals in the neurosciences: A translational geographical approach. Ion Andronache, Daniel Peptenatu, Helmut Ahammer, Marko Radulovic, Goran J. Djuri¿i¿, Herbert F. Jelinek, Carlo Russo, and Antonio Di Ieva

48 Fractal Geometry Meets Computational Intelligence: Future Perspectives. Lorenzo Livi, Alireza Sadeghian, and Antonio Di Ieva