Research Center for Integrated Analysis and Territorial Management, Faculty of Geography, University of Bucharest, Bucharest, Romania.
GSRC, Division of Medical Physics and Biophysics, Medical University of Graz, Graz, Austria.
Adv Neurobiol. 2024;36:953-981. doi: 10.1007/978-3-031-47606-8_47.
The chapter presents three new fractal indices (fractal fragmentation index, fractal tentacularity index, and fractal anisotropy index) and normalized Kolmogorov complexity with proven applicability in geographic research, developed by the authors, and the possibility of their future use in neuroscience. The research demonstrates the relevance of fractal analysis in different fields and the basic concepts and principles of fractal geometry being sufficient for the development of models relevant to the studied reality. Also, the research highlighted the need to continue interdisciplinary research based on known fractal indicators, as well as the development of new analysis methods with the translational potential between fields.
本章提出了三个新的分形指数（分形碎裂指数、分形触手指数和分形各向异性指数）和归一化的 Kolmogorov 复杂度，并证明了它们在地理研究中的适用性，以及它们在神经科学中的未来应用可能性。研究表明了分形分析在不同领域的相关性，以及分形几何的基本概念和原理足以开发与所研究现实相关的模型。此外，研究还强调了需要继续基于已知分形指标进行跨学科研究，以及开发具有领域间转化潜力的新分析方法。
