The fractal brain: scale-invariance in structure and dynamics
WEBApr 4, 2023 · The past 40 years have witnessed extensive research on fractal structure and scale-free dynamics in the brain. Although considerable progress has been made, a comprehensive picture has yet to emerge, and needs further linking to a mechanistic account of brain function.
How neurons exploit fractal geometry to optimize their network
WEBJan 27, 2021 · We investigate the degree to which neurons are fractal, the origin of this fractality, and its impact on functionality.
Fractals in the Nervous System: Conceptual Implications for …
WEBJul 6, 2010 · Fractals, introduced by Mandelbrot in 1977, are signals which display scale-invariant, self-similar behavior. Their signature is power-law scaling. In the spatial domain, fractals are self-similar geometric objects with features on an infinite number of scales.
Fractals in Neuropsychology and Cognitive Neuroscience
WEBMar 10, 2024 · Fractals are self-similar geometric objects with properties on an unlimited number of scales in the space realm. They can form a hierarchy of temporal and geographical scales in the study of time series, covering a large range between coarse-scale long-term and high-frequency fine-scale variations.
Fractals in the Neurosciences, Part I: General Principles and Basic ...
WEBFor a holistic view of fractal geometry of the brain, we review here the basic concepts of fractal analysis and its main applications to the basic neurosciences.
The Fractal Geometry of the Brain | SpringerLink
WEBThe 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.
The Fractal Geometry of the Brain: AnOverview | SpringerLink
WEBMar 10, 2024 · In particular, Chaps. 2, 3, 4, and 5 explain the basic concepts of fractal geometry (e.g., fractal dimension, self-similarity, and scaling) and introduce specific methods and examples of the practical applications of fractal analysis to neuroscience.
Toward a more reliable characterization of fractal properties of …
WEBOct 12, 2020 · The cerebral cortex manifests an inherent structural complexity of folding. The fractal geometry describes the complexity of structures which show self-similarity in a proper interval of...
Fractals in Neuroanatomy and Basic Neurosciences: An Overview
WEBFractal geometry allows for quantitative analysis and description of the geometric complexity of the brain, from its single units to the neuronal networks.As illustrated in the second section of this book, fractal analysis provides a quantitative tool for the study of the morphology of brain cells (i.e., neurons and microglia) and its components...
Frontiers | Book review: The fractal geometry of the brain
WEBNov 22, 2022 · The book elegantly summarizes and gradually unveils the fractal geometry approach to investigate the brain, from principle to clinical application and computational analysis, and finally sketches future perspectives toward fractal electronics and computational intelligence.