Articles with "fractal dimension" as a keyword



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Can fractal dimensions objectivize gastropod shell morphometrics? A case study from Lake Lugu (SW China)

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Published in 2022 at "Ecology and Evolution"

DOI: 10.1002/ece3.8622

Abstract: Abstract Morphometrics are fundamental for the analysis of size and shape in fossils, particularly because soft parts or DNA are rarely preserved and hard parts such as shells are commonly the only source of information.… read more here.

Keywords: fractal dimensions; information; fractal dimension; lake lugu ... See more keywords
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Fractal dimension of antibody‐PEG precipitate: Light microscopy for the reconstruction of 3D precipitate structures

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Published in 2020 at "Engineering in Life Sciences"

DOI: 10.1002/elsc.201900110

Abstract: Protein and in particular antibody precipitation by PEG is a cost‐effective alternative for the first capture step. The 3D structure of precipitates has a large impact on the process parameters for the recovery and dissolution,… read more here.

Keywords: reconstruction; microscopy; precipitate structures; precipitate ... See more keywords
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Liver tissue classification of en face images by fractal dimension-based support vector machine.

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Published in 2020 at "Journal of biophotonics"

DOI: 10.1002/jbio.201960154

Abstract: Full-field optical coherence tomography (FF-OCT) has been reported with its label-free subcellular imaging performance. To realize quantitive cancer detection, the support vector machine (SVM) model of classifying normal and cancerous human liver tissue is proposed… read more here.

Keywords: liver tissue; support vector; tissue; fractal dimension ... See more keywords
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New chaotic attractors: Application of fractal‐fractional differentiation and integration

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Published in 2020 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.6432

Abstract: Very recently, the concept of fractal differentiation and fractional differentiation has been combined to produce new differentiation operators. The new operators were constructed using three different kernels, namely, power law, exponential decay, and the generalized… read more here.

Keywords: differentiation; new operators; fractal fractional; fractal dimension ... See more keywords
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The fractal dimension of pullback attractors for the 2D Navier–Stokes equations with delay

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Published in 2020 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.6634

Abstract: This paper is concerned with the bounded fractal and Hausdorff dimension of the pullback attractors for 2D nonautonomous incompressible Navier‐Stokes equations with constant delay terms. Using the construction of trace formula with two bases for… read more here.

Keywords: navier stokes; pullback attractors; dimension pullback; dimension ... See more keywords
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A note on the finite fractal dimension of the global attractors for dissipative nonlinear Schrödinger‐type equations

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Published in 2020 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.6709

Abstract: In this article, we present, throughout two basic models of damped nonlinear Schrödinger (NLS)–type equations, a new idea to bound from above the fractal dimension of the global attractors for NLS‐type equations. This could answer… read more here.

Keywords: schr dinger; type equations; fractal dimension; nonlinear schr ... See more keywords
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Response prediction of neoadjuvant chemoradiation therapy in locally advanced rectal cancer using CT-based fractal dimension analysis

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Published in 2021 at "European Radiology"

DOI: 10.1007/s00330-021-08303-z

Abstract: There are individual variations in neo-adjuvant chemoradiation therapy (nCRT) in patients with locally advanced rectal cancer (LARC). No reliable modality currently exists that can predict the efficacy of nCRT. The purpose of this study is… read more here.

Keywords: rectal cancer; analysis; advanced rectal; fractal dimension ... See more keywords
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A Novel Conceptual Approach to Objectively Determine JRC Using Fractal Dimension and Asperity Distribution of Mapped Fracture Traces

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Published in 2018 at "Rock Mechanics and Rock Engineering"

DOI: 10.1007/s00603-018-1651-6

Abstract: The understanding of fractures in hard rock is important for topics such as geomechanics, rock mechanics and groundwater flow and solute transport. One key aspect is the roughness of the fracture, often described as the… read more here.

Keywords: jrc; fracture; model; jrc using ... See more keywords
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Experimental investigation of fractal dimension effect on deformation modulus of an artificial bimrock

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Published in 2017 at "Bulletin of Engineering Geology and the Environment"

DOI: 10.1007/s10064-017-1074-8

Abstract: Due to urbanization, construction of civil structures and infrastructure within complex rocks such as conglomerate and mélange is inevitable. Such rocks normally represent very heterogeneous structures. Obtaining representative undisturbed sample of these rocks is cumbersome… read more here.

Keywords: deformation modulus; bimrock; block; fractal dimension ... See more keywords
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Weakening of mudstone fragments due to disintegration: an experimental investigation

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Published in 2020 at "Bulletin of Engineering Geology and the Environment"

DOI: 10.1007/s10064-020-01874-z

Abstract: Red-bed mudstone is widely distributed throughout the Three Gorges Reservoir Area, China. This geological material easily disintegrates into fragments during engineering activities. The potential factors that influence the disintegration (grain composition, slake durability index, grain… read more here.

Keywords: mudstone; disintegration; friction angle; fractal dimension ... See more keywords
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Fractal Dimension of Erythrocyte Membranes: A Highly Useful Precursor for Rapid Morphological Assay

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Published in 2018 at "Annals of Biomedical Engineering"

DOI: 10.1007/s10439-018-2050-6

Abstract: Morphology of erythrocyte membrane has been recognized as an alternative biomarker of several patho-physiological states. Numerous attempts have been made to upgrade the existing method of primitive manual counting, particularly exploring the light scattering properties… read more here.

Keywords: dimension; dimension erythrocyte; fractal dimension; erythrocyte membranes ... See more keywords