Gene Coexpression Network Comparison via Persistent Homology
Persistent homology, a topological data analysis (TDA) method, is applied to microarray data sets. Although there are a few papers referring to TDA methods in microarray analysis, the usage of persistent homology in the comparison of several weighted ...
Ali Nabi Duman, Harun Pirim
doaj +1 more source
Final ...
Saugata Basu, Nathanael Cox
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Peripheral lysosomes recruit PLEKHG3 to focal adhesions and restrain protrusion dynamics
Proximity‐dependent labeling at the LAMTOR complex revealed the Rho GEF PLEKHG3 as a lysosome‐proximal protein directing the study toward the influence of lysosome positioning on actin dynamics and cell motility. We show that PLEKHG3 colocalizes with lysosomes at focal adhesion sites and observe that forced peripheral dispersion of lysosomes hinders ...
Rainer Ettelt +8 more
wiley +1 more source
Topological Regularization for Representation Learning via Persistent Homology
Generalization is challenging in small-sample-size regimes with over-parameterized deep neural networks, and a better representation is generally beneficial for generalization.
Muyi Chen +3 more
doaj +1 more source
Persistent hyperdigraph homology and persistent hyperdigraph Laplacians
Hypergraphs are useful mathematical models for describing complex relationships among members of a structured graph, while hyperdigraphs serve as a generalization that can encode asymmetric relationships in the data. However, obtaining topological information directly from hyperdigraphs remains a challenge.
Chen, Dong +3 more
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Operads and Γ-homology of commutative rings [PDF]
We introduce Γ-homology, the natural homology theory for E[infty infinity]-algebras, and a cyclic version of it. Γ-homology specializes to a new homology theory for discrete commutative rings, very different in general from André–Quillen homology.
Robinson, Alan (C. Alan) +1 more
core +1 more source
Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation
Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang +2 more
wiley +1 more source
Implementation of Persistent Homology in Survival Analysis for Correlated and Longitudinal Data: A case study of COVID-19 Spread in Indonesia [PDF]
Most survival models assume no autocorrelation between objects and time-independence. However, in many cases of disease spread, an object can potentially affect its neighbors, and the feature may change over time.
Amartiwi Utih, Kholodov Yaroslav A.
doaj +1 more source
Persistent Homology Analysis for Materials Research and Persistent Homology Software: HomCloud
This paper introduces persistent homology, which is a powerful tool to characterize the shape of data using the mathematical concept of topology. We explain the fundamental idea of persistent homology from scratch using some examples. We also review some
Obayashi, Ippei +2 more
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RNA‐related functions of BRCA2 in transcription, replication, and genome stability
Beyond its role in homologous recombination, BRCA2 regulates R‐loop homeostasis, DNA–RNA hybrid resolution, RNA polymerase II dynamics, and transcriptional activation. Disruption of any of these functions can contribute to genome instability, inflammatory signaling, and tumorigenesis. BRCA2 is a central tumor suppressor protein best known for its roles
Lucia Alvaro‐Aranda +2 more
wiley +1 more source

