The Fractal Geometry of the Brain

Front Matter....Pages i-xxii
Front Matter....Pages 1-1
The Fractal Geometry of the Brain: An Overview....Pages 3-12
Box-Counting Fractal Analysis: A Primer for the Clinician....Pages 13-43
Tenets and Methods of Fractal Analysis (1/f Noise)....Pages 45-64
Tenets, Methods, and Applications of Multifractal Analysis in Neurosciences....Pages 65-79
Front Matter....Pages 81-81
Fractals in Neuroanatomy and Basic Neurosciences: An Overview....Pages 83-89
Morphology and Fractal-Based Classifications of Neurons and Microglia....Pages 91-108
The Morphology of the Brain Neurons: Box-Counting Method in Quantitative Analysis of 2D Image....Pages 109-126
Neuronal Fractal Dynamics....Pages 127-136
Does a Self-Similarity Logic Shape the Organization of the Nervous System?....Pages 137-156
Fractality of Cranial Sutures....Pages 157-167
The Fractal Geometry of the Human Brain: An Evolutionary Perspective....Pages 169-186
Front Matter....Pages 187-187
Fractal Analysis in Clinical Neurosciences: An Overview....Pages 189-198
Fractal Analysis in Neurological Diseases....Pages 199-211
Fractal Dimension Studies of the Brain Shape in Aging and Neurodegenerative Diseases....Pages 213-232
Fractal Analysis in Neurodegenerative Diseases....Pages 233-249
Fractal Analysis of the Cerebrovascular System Physiopathology....Pages 251-262
Fractals and Chaos in the Hemodynamics of Intracranial Aneurysms....Pages 263-277
Fractal-Based Analysis of Arteriovenous Malformations (AVMs)....Pages 279-293
Fractals in Neuroimaging....Pages 295-309
Computational Fractal-Based Analysis of MR Susceptibility-Weighted Imaging (SWI) in Neuro-oncology and Neurotraumatology....Pages 311-332
Front Matter....Pages 187-187
Texture Estimation for Abnormal Tissue Segmentation in Brain MRI....Pages 333-349
Tumor Growth in the Brain: Complexity and Fractality....Pages 351-369
Histological Fractal-Based Classification of Brain Tumors....Pages 371-391
Computational Fractal-Based Analysis of Brain Tumor Microvascular Networks....Pages 393-411
Fractal Analysis of Electroencephalographic Time Series (EEG Signals)....Pages 413-429
On Multiscaling of Parkinsonian Rest Tremor Signals and Their Classification....Pages 431-443
Fractals and Electromyograms....Pages 445-455
Fractal Analysis in Neuro-ophthalmology....Pages 457-470
Fractals in Affective and Anxiety Disorders....Pages 471-483
Fractal Fluency: An Intimate Relationship Between the Brain and Processing of Fractal Stimuli....Pages 485-496
Front Matter....Pages 497-497
Computational Fractal-Based Neurosciences: An Overview....Pages 499-502
Fractal Analysis in MATLAB: A Tutorial for Neuroscientists....Pages 503-522
Methodology to Increase the Computational Speed to Obtain the Fractal Dimension Using GPU Programming....Pages 523-532
Fractal Electronics as a Generic Interface to Neurons....Pages 533-551
Fractal Geometry Meets Computational Intelligence: Future Perspectives....Pages 553-565
Erratum to: The Fractal Geometry of the Brain....Pages 567-580
Back Matter....Pages E1-E1
....Pages 581-585