Results 11 to 20 of about 1,047,361 (285)
Homological scaffold via minimal homology bases [PDF]
Scientific Reports, 2021 AbstractThe homological scaffold leverages persistent homology to construct a topologically sound summary of a weighted network. However, its crucial dependency on the choice of representative cycles hinders the ability to trace back global features onto individual network components, unless one provides a principled way to make such a choice.
Guerra, Marco +4 more
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Homology of homologous knotted proteins
Journal of The Royal Society Interface, 2023 Quantification and classification of protein structures, such as knotted proteins, often requires noise-free and complete data. Here, we develop a mathematical pipeline that systematically analyses protein structures. We showcase this geometric framework on proteins forming open-ended trefoil knots, and we demonstrate that the mathematical tool ...
Katherine Benjamin +6 more
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Homology, Homotopy and Applications, 2017 12 pages; revised version incorporates suggestions from referee.
Nelson, Sam, Rosenfield, Jake
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Magnitude homology and path homology
Bulletin of the London Mathematical Society, 2022 version 3 (refined some proofs, added some figures, and fixed some typos. To appear in Bulletin of the London Mathematical Society)
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Canadian Journal of Mathematics, 2003 AbstractFor complex projective manifolds we introduce polar homology groups, which are holomorphic analogues of the homology groups in topology. The polar k-chains are subvarieties of complex dimension k with meromorphic forms on them, while the boundary operator is defined by taking the polar divisor and the Poincaré residue on it. One can also define
Khesin, B., Rosly, A.
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Journal of High Energy Physics, 2007 29 pages, 3 eps figures, added Report ...
Collinucci, Andrés, Evslin, JARAH J
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Vaccines, 2022 A prime–boost strategy of COVID-19 vaccines brings hope to limit the spread of SARS-CoV-2, while the immunogenicity of the vaccines is waning over time. Whether a booster dose of vaccine is needed has become a widely controversial issue.
Haoyue Cheng +8 more
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Vaccines, 2022 In response to the SARS-CoV-2 Delta variant, which partially escaped the vaccine-induced immunity provided by two doses of vaccination with CoronaVac (Sinovac), the National Vaccine Committee recommended the heterologous CoronaVac-ChAdOx1 (Oxford ...
Surakameth Mahasirimongkol +24 more
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Homologous Recombination: To Fork and Beyond [PDF]
, 2018 Accurate completion of genome duplication is threatened by multiple factors that hamper the advance and stability of the replication forks. Cells need to tolerate many of these blocking lesions to timely complete DNA replication, postponing their repair ...
Prado Velasco, José Félix
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Homology operations in symmetric homology [PDF]
Homology, Homotopy and Applications, 2014 The symmetric homology of a unital associative algebra $A$ over a commutative ground ring $k$, denoted $HS_*(A)$, is defined using derived functors and the symmetric bar construction of Fiedorowicz. In this paper we show that $HS_*(A)$ admits homology operations and a Pontryagin product structure making $HS_*(A)$ an associative commutative graded ...
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