Results 1 to 10 of about 2,885,310 (330)
Percolation in protein sequence space. [PDF]
PLoS ONE, 2017 The currently known protein sequences are not distributed equally in sequence space, but cluster into families. Analyzing the cluster size distribution gives a glimpse of the large and unknown extant protein sequence space, which has been explored during
Patrick C F Buchholz +2 more
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The scale-free nature of protein sequence space. [PDF]
PLoS ONE, 2018 The sequence space of five protein superfamilies was investigated by constructing sequence networks. The nodes represent individual sequences, and two nodes are connected by an edge if the global sequence identity of two sequences exceeds a threshold ...
Patrick C F Buchholz +2 more
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Mathematics, 2023 In the current contribution, an appropriate quantity connected to the space of all convergent sequences is provided and shown to be a measure of noncompactness in a Banach space.
Ahmed Salem +2 more
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New Banach Sequence Spaces Defined by Jordan Totient Function
Communications in Advanced Mathematical Sciences, 2023 In this study, a special lower triangular matrix derived by combining Riesz matrix and Jordan totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators ...
Uskan Devletli, Merve Ilkhan Kara
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Applications of uniform boundedness principle to matrix transformations
Karpatsʹkì Matematičnì Publìkacìï, 2023 Using the uniform boundedness principle of Maddox, we characterize matrix transformations from the space $(\ell_{p}) _{T}$ to the spaces $m(\phi )$ and $n(\phi )$ for the case $1\leq p\leq \infty$, which correspond to bounded linear operators.
M.A. Sarıgöl
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A unified view of low complexity regions (LCRs) across species
eLife, 2022 Low complexity regions (LCRs) play a role in a variety of important biological processes, yet we lack a unified view of their sequences, features, relationships, and functions.
Byron Lee +2 more
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100th Anniversary of Macromolecular Science Viewpoint: Opportunities in the Physics of Sequence-Defined Polymers [PDF]
, 2020 Polymer science has been driven by ever-increasing molecular complexity, as polymer synthesis expands an already-vast palette of chemical and architectural parameter space.
Perry, Sarah L., Sing, Charles E.
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Population Disequilibrium as Promoter of Adaptive Explorations in Hepatitis C Virus
Viruses, 2021 Replication of RNA viruses is characterized by exploration of sequence space which facilitates their adaptation to changing environments. It is generally accepted that such exploration takes place mainly in response to positive selection, and that ...
Carlos García-Crespo +13 more
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Viruses, 2023 In the human gut, temperate bacteriophages interact with bacteria through predation and horizontal gene transfer. Relying on taxonomic data, metagenomic studies have associated shifts in phage abundance with a number of human diseases.
Ivan M. Pchelin +7 more
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Fractional Cesàro Matrix and its Associated Sequence Space
Concrete Operators, 2021 In this research, we introduce a new fractional Cesàro matrix and investigate the topological properties of the sequence space associated with this matrix.We also introduce a fractional Gamma matrix aswell and obtain some factorizations for the Hilbert ...
Roopaei H., İlkhan M.
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