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Retinal vascular geometry and its association to silent brain infarction.
BMC Ophthalmol
January 2025
Department of Ophthalmology, Zhongshan Hospital, Fudan University, Shanghai, 200032, China.
Objective: To examine the relationship between retinal vascular geometry and silent brain infarction (SBI) in the Chinese population.
Methods: We conducted a cross-sectional study that retrospectively analyzed the fundus photographs, MRI and other clinical data of 227 SBIs and 227 controls who visited Shanghai Health And Medical Center for physical examination. The retinal vessel fractal dimension (FD), retinal artery fractal dimension (FDa), retinal vein fractal dimension (FDv), central retinal artery diameter in the region from 0.
Percolation for 2D Classical Heisenberg Model and Exit Sets of Vector Valued GFF.
Commun Math Phys
January 2025
Centro de Modelamiento Matemático (AFB170001), UMI-CNRS 2807, Universidad de Chile, Beauchef 851, Santiago, Chile.
Our motivation in this paper is twofold. First, we study the geometry of a class of exploration sets, called , which are naturally associated with a 2D vector-valued Gaussian Free Field : . We prove that, somewhat surprisingly, these sets are a.
View Article and Find Full Text PDFOn escape criterion of an orbit with s-convexity and illustrations of the behavior shifts in Mandelbrot and Julia set fractals.
PLoS One
January 2025
Department of Basic Sciences, Preparatory Year, King Faisal University, Al-Ahsa, Saudi Arabia.
Our study presents a novel orbit with s-convexity, for illustration of the behavior shift in the fractals. We provide a theorem to demonstrate the escape criterion for transcendental cosine functions of the type Tα,β(u) = cos(um)+αu + β, for [Formula: see text] and m ≥ 2. We also demonstrate the impact of the parameters on the formatted fractals with numerical examples and graphical illustrations using the MATHEMATICA software, algorithm, and colormap.
View Article and Find Full Text PDFUsing space-filling curves and fractals to reveal spatial and temporal patterns in neuroimaging data.
J Neural Eng
January 2025
Center for Complex Systems & Brain Sciences (CEMSC3), Escuela de Ciencia y Tecnología, Universidad Nacional de San Martín, Buenos Aires, Argentina.
. Magnetic resonance imaging (MRI), functional MRI (fMRI) and other neuroimaging techniques are routinely used in medical diagnosis, cognitive neuroscience or recently in brain decoding. They produce three- or four-dimensional scans reflecting the geometry of brain tissue or activity, which is highly correlated temporally and spatially.
View Article and Find Full Text PDFHeterogeneity and permeability estimation of pore-throat structure at different scales in deep tight sandstone reservoirs: A case study of Paleogene Hetaoyuan Formation in Anpeng area, Nanxiang Basin, China.
PLoS One
December 2024
School of Geoscience and Technology, Southwest Petroleum University, Chengdu, China.
Clarifying the pore-throat size and pore size distribution of tight sandstone reservoirs, quantitatively characterizing the heterogeneity of pore-throat structures, is crucial for evaluating reservoir effectiveness and predicting productivity. Through a series of rock physics experiments including gas measurement of porosity and permeability, casting thin sections, scanning electron microscopy, and high-pressure mercury injection, the quality of reservoir properties and microscopic pore-throat structure characteristics were systematically studied. Combined with fractal geometry theory, the effects of different pore throat types, geometric shapes and scale sizes on the fractal characteristics and heterogeneity of sandstone pore throat structure are clarified.
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