Di Ieva Antonio, Esteban Francisco J, Grizzi Fabio, Klonowski Wlodzimierz, Martín-Landrove Miguel
Division of Neurosurgery, St. Michael's Hospital, University of Toronto, Toronto, Canada Centre for Anatomy and Cell Biology, Department of Systematic Anatomy, Medical University of Vienna, Vienna, Austria
Systems Biology Unit, Department of Experimental Biology, University of Jaén, Jaén, Spain.
Neuroscientist. 2015 Feb;21(1):30-43. doi: 10.1177/1073858413513928. Epub 2013 Dec 20.
It has been ascertained that the human brain is a complex system studied at multiple scales, from neurons and microcircuits to macronetworks. The brain is characterized by a hierarchical organization that gives rise to its highly topological and functional complexity. Over the last decades, fractal geometry has been shown as a universal tool for the analysis and quantification of the geometric complexity of natural objects, including the brain. The fractal dimension has been identified as a quantitative parameter for the evaluation of the roughness of neural structures, the estimation of time series, and the description of patterns, thus able to discriminate different states of the brain in its entire physiopathological spectrum. Fractal-based computational analyses have been applied to the neurosciences, particularly in the field of clinical neurosciences including neuroimaging and neuroradiology, neurology and neurosurgery, psychiatry and psychology, and neuro-oncology and neuropathology. After a review of the basic concepts of fractal analysis and its main applications to the basic neurosciences in part I of this series, here, we review the main applications of fractals to the clinical neurosciences for a holistic approach towards a fractal geometry model of the brain.
已经确定,人类大脑是一个在多个尺度上进行研究的复杂系统,从神经元和微电路到宏观网络。大脑的特征是具有层次组织结构,这导致了其高度的拓扑和功能复杂性。在过去几十年中,分形几何学已被证明是分析和量化包括大脑在内的自然物体几何复杂性的通用工具。分形维数已被确定为评估神经结构粗糙度、估计时间序列和描述模式的定量参数,因此能够区分大脑在其整个生理病理范围内的不同状态。基于分形的计算分析已应用于神经科学,特别是在临床神经科学领域,包括神经影像学和神经放射学、神经病学和神经外科、精神病学和心理学以及神经肿瘤学和神经病理学。在本系列第一部分回顾了分形分析的基本概念及其在基础神经科学中的主要应用之后,在此,我们回顾分形在临床神经科学中的主要应用,以全面探讨大脑的分形几何模型。