2nd edition. — Springer, 2024. — 999 p. — (Advances in Neurobiology 36). — ISBN 978-3-031-47605-1.
The new edition of the highly popular, The Fractal Geometry of the Brain, reviews the most intriguing applications of fractal analysis in neuroscience with a focus on current and future potential, limits, advantages, and disadvantages. It brings an understanding of fractals to clinicians and researchers even if they do not have a mathematical background, and it serves as a valuable tool for teaching the translational applications of computational fractal-based models to both students and scholars. As a consequence of the novel research developed at Professor Di Ieva's laboratory and other centers around the world, the second edition will explore the use of computational fractal-based analysis in many clinical disciplines and different fields of research, including neurology and neurosurgery, neuroanatomy and psychology, magnetoencephalography (MEG), eye-tracking devices (for the fractal computational characterization of “scanpaths”),deep learning in image analysis, radiomics for the characterization of brain MRIs, characterization of neuropsychological and psychiatric diseases and traits, signal complexity analysis in time series, and functional MRI, amongst others.
Introduction to Fractal Geometry and Its Applications to NeurosciencesThe Fractal Geometry of the Brain: AnOverview
Box-Counting Fractal Analysis: A Primer for the Clinician
Tenets and Methods of Fractal Analysis (1/f Noise)
Multifractal Analysis in Neuroimaging
Fractal Time Series: Background, Estimation Methods, and Performances
Fractals in Neuroanatomy and Basic NeurosciencesFractals in Neuroanatomy and Basic Neurosciences: An Overview
Morphology and Fractal-Based Classifications of Neurons and Microglia in Two and Three Dimensions
The Morphology of Brain Neurons: The Box-Counting Method in the Quantitative Analysis of 2D Images
Neuronal Fractal Dynamics
A Self-Similarity Logic May Shape the Organization of the Nervous System
Fractality of Cranial Sutures
The Fractal Geometry of the Human Brain: An Evolutionary Perspective
Fractals in Clinical NeurosciencesFractal Analysis in Clinical Neurosciences: An Overview
Fractals, Pattern Recognition, Memetics, and AI: A Personal Journal in the Computational Neurosurgery
Clinical Sensitivity of Fractal Neurodynamics
Fractal Dimension Analysis in Neurological Disorders: An Overview
Fractal Dimension Studies of the Brain Shape in Aging and Neurodegenerative Diseases
Fractal Analysis in Neurodegenerative Diseases
Fractal Analysis of the Cerebrovascular System Pathophysiology
Fractals and Chaos in the Hemodynamics of Intracranial Aneurysms
Fractal-Based Analysis of Arteriovenous Malformations (AVMs)
Fractals in Neuroimaging
Computational Fractal-Based Analysis of MR Susceptibility-Weighted Imaging (SWI) in Neuro-Oncology and Neurotraumatology
Texture Estimation for Abnormal Tissue Segmentation in Brain MRI
Multifractal Analysis of Brain Tumor Interface in Glioblastoma
Fractal-Based Analysis of Histological Features of Brain Tumors
Computational Fractal-Based Analysis of Brain Tumor Microvascular Networks
Fractal-Based Morphometrics of Glioblastoma
Percolation Images: Fractal Geometry Features for Brain Tumor Classification
On Multiscaling of Parkinsonian Rest Tremor Signals and Their Classification
Fractal Phototherapy in Maximizing Retina and Brain Plasticity
Fractal Similarity of Pain Brain Networks
Fractal Neurodynamics
Fractal Analysis of Electrophysiological Signals to Detect and Monitor Depression: What We Know So Far?
Point of Care Testing (POCT) in Psychopathology Using Fractal Analysis and Hilbert Huang Transform of Electroencephalogram (EEG)
Advances in Understanding Fractals in Affective and Anxiety Disorders
EEG Complexity Analysis of Brain States, Tasks and ASD Risk
Fractals in Neuropsychology and Cognitive Neuroscience
Computational and Translational Fractal-Based NeurosciencesComputational and Translational Fractal-Based Analysis in the Translational Neurosciences: An Overview
ImageJ in Computational Fractal-Based Neuroscience: Pattern Extraction and Translational Research
Fractal Analysis in MatLAB: A Tutorial for Neuroscientists
Analyzing Eye Paths Using Fractals
Fractal Electronics for Stimulating and Sensing Neural Networks: Enhanced Electrical, Optical, and Cell Interaction Properties
Fractal Resonance: Can Fractal Geometry Be Used to Optimize the Connectivity of Neurons to Artificial Implants?
Fractal Fluency: Processing of Fractal Stimuli Across Sight, Sound, and Touch
Cognitive and Neural Representations of Fractals in Vision, Music, and Action
Fractals in the Neurosciences: A Translational Geographical Approach
Fractal Geometry Meets Computational Intelligence: Future Perspectives