Results 51 to 60 of about 1,003,949 (307)
Box-counting dimensions of generalised fractal nests [PDF]
Chaos, Solitons & Fractals, 2018 Fractal nests are sets defined as unions of unit $n$-spheres scaled by a sequence of $k^{-α}$ for some $α>0$. In this article we generalise the concept to subsets of such spheres and find the formulas for their box counting dimensions. We introduce some novel classes of parameterised fractal nests and apply these results to compute the dimensions ...
openaire +3 more sources
Multiple ETS family transcription factors bind mutant p53 via distinct interaction regions
FEBS Letters, EarlyView.Mutant p53 gain‐of‐function is thought to be mediated by interaction with other transcription factors. We identify multiple ETS transcription factors that can bind mutant p53 and found that this interaction can be promoted by a PXXPP motif. ETS proteins that strongly bound mutant p53 were upregulated in ovarian cancer compared to ETS proteins that ...
Stephanie A. Metcalf +6 more
wiley +1 more source
Pracì Mìžnarodnogo Geometričnogo Centru, 2018 In the following, bypassing dynamical systems tools, we propose a simple means of computing the box dimension of the graph of the classical Weierstrass function defined, for any real number~$x$, by \[{\mathcal W}(x)= \sum_{n=0}^{+\infty} \lambda^n\,\cos \
Claire David
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Optimal box-covering algorithm for fractal dimension of complex networks
, 2012 The self-similarity of complex networks is typically investigated through computational algorithms the primary task of which is to cover the structure with a minimal number of boxes.
Christian M. Schneider +8 more
core +2 more sources
Box-Counting Dimension Using Triangles
, 2016 An alternate definition of the box-counting dimension is proposed, to provide a better approximation for fractals involving rotation such as the 'Bradley Spiral' structure. A curve fitting comparison of this definition with the box-counting dimension is also presented.
Athar, Tazeen +2 more
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Persistent Homology and the Upper Box Dimension [PDF]
Discrete & Computational Geometry, 2019 39 pages, 8 ...
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The newfound relationship between extrachromosomal DNAs and excised signal circles
FEBS Letters, EarlyView.Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
An Improve Differential Box Counting Method to Estimate Fractal Dimension [PDF]
Engineering and Technology Journal, 2015 The mathematical concept that used to measure the complexity of the fractal sets is known as fractal dimension. It is considered as a global feature for fractal images.
N.M.G. Alsaidi, W.J. Abdulaal
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Mathematics, 2023 This research aimed to estimate the length of the Citarum watershed boundary because the data are still unknown. We used the concept of fractal’s power law and its relation to the length of an object, which is still not described in other research.
Michael Lim +2 more
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FEBS Letters, EarlyView.The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
wiley +1 more source