Results 51 to 60 of about 17,677 (248)
Overview Combinatorial design theory is the study of arranging elements of a finite set into patterns (subsets, words, arrays) according to specified rules.
Peter Dukes
core
Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley +1 more source
Fuglede's conjecture on cyclic groups of order $p^nq$
Fuglede's conjecture on cyclic groups of order $p^nq$, Discrete Analysis 2017:12, 16 pp. A conjecture of Fuglede from 1974 states that a measurable set $E\subset \mathbb R^n$ of positive Lebesgue measure tiles $\mathbb R^n$ by translations if and only ...
Romanos Diogenes Malikiosis +1 more
doaj +1 more source
From mice to humans—divergent strategies for intestinal homeostasis and regeneration
Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
wiley +1 more source
Interactions between Ergodic Theory and Combinatorial Number Theory [PDF]
The seminal work of Furstenberg on his ergodic proof of Szemerédi’s Theorem gave rise to a very rich connection between Ergodic Theory and Combinatorial Number Theory (Additive Combinatorics).
Bulinski, Kamil
core
CT10 regulator of kinase (CRK) and CRK‐Like (CRKL) are signaling adaptors driving cell adhesion, motility, differentiation, and proliferation. SH2‐domain containing (SH) proteins are enriched in YXXP motifs which when phosphorylated create preferred binding sites for CRK family SH2 domains.
Phoebe M. Cousens +8 more
wiley +1 more source
Lower bounds for incidences with hypersurfaces
Lower bounds for incidences with hypersurfaces, Discrete Analysis 2016:16, 14pp. A fundamental result in combinatorial geometry, the Szemerédi-Trotter theorem, states that among any $n$ points and $m$ lines in $\mathbb R^2$ there can be at most $O((mn)^{
Adam Sheffer
doaj +1 more source
Reconstructing enzyme evolution by protein engineering
Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
Set theory has experienced rapid development in the recent years, both in pure set theory and in its applications to other fields of mathematics. We have seen breakthroughs in combinatorial set theory, forcing, inner models, descriptive set theory, Borel
core +1 more source
The role of miR‐335‐5p in the redifferentiation of BRAF p.V600E thyroid cancers
The BRAF p.V600E mutation promotes thyroid cancer dedifferentiation and radioiodine resistance. Using a network approach, we identified miR‐335‐5p as a key regulator of BRAF‐mutated thyroid tumors. Restoring miR‐335‐5p increased thyroid‐specific gene expression and iodine uptake in cells and organoids.
Valeria Pecce +11 more
wiley +1 more source

