Results 131 to 140 of about 846,626 (359)
On the Jacobian Conjecture [PDF]
Proceedings of the American Mathematical Society, 1993 We show that the Jacobian conjecture can be reduced to a weaker conjecture in which all fibers of coordinate functions are irreducible.
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Single‐cell insights into the role of T cells in B‐cell malignancies
FEBS Letters, EarlyView.Single‐cell technologies have transformed our understanding of T cell–tumor cell interactions in B‐cell malignancies, revealing new T‐cell subsets, functional states, and immune evasion mechanisms. This Review synthesizes these findings, highlighting the roles of T cells in pathogenesis, progression, and therapy response, and underscoring their ...
Laura Llaó‐Cid
wiley +1 more source
The Proof of the Fermat’s Conjecture in the Correct Domain
Ratio Mathematica, 2018 The distinction between the Domain of Natural Numbers and the Domain of Line gets highlighted. This division provides the new perception to the Fermat’s Conjecture, where to place it and how to prove it.
Saimir A. Lolja
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On a conjecture of Balog [PDF]
Proceedings of the American Mathematical Society, 1985 A conjecture of A. Balog is proved which gives a sufficient condition on a set A A of positive integers such that A ∩ ( A + 1 ) A \cap (A + 1) is infinite. A consequence of this result is that, for every ε > 0 \varepsilon > 0
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Cyclic nucleotide signaling as a drug target in retinitis pigmentosa
FEBS Letters, EarlyView.Disruptions in cGMP and cAMP signaling can contribute to retinal dysfunction and photoreceptor loss in retinitis pigmentosa. This perspective examines the mechanisms and evaluates emerging evidence on targeting these pathways as a potential therapeutic strategy to slow or prevent retinal degeneration.
Katri Vainionpää +2 more
wiley +1 more source
, 2012 Fr\'ed\'eric Meunier's question about a multicolored Sperner lemma is addressed, leaving the question of connectivity for the color hypergraphs of such a multicolored simplex.
Babson, Eric
core
TRAF2 binds to TIFA via a novel motif and contributes to its autophagic degradation
FEBS Letters, EarlyView.TRAF family members couple receptor signalling complexes to downstream outputs, but how they interact with these complexes is not always clear. Here, we show that during ADP‐heptose signalling, TRAF2 binding to TIFA requires two short sequence motifs in the C‐terminal tail of TIFA, which are distinct from the TRAF6 binding motif.
Tom Snelling +4 more
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FEBS Letters, EarlyView.Exposure to common noxious agents (1), including allergens, pollutants, and micro‐nanoplastics, can cause epithelial barrier damage (2) in our body's protective linings. This may trigger an immune response to our microbiome (3). The epithelial barrier theory explains how this process can lead to chronic noncommunicable diseases (4) affecting organs ...
Can Zeyneloglu +17 more
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Global attractivity of a rational difference equation with higher order and its applications
Mathematical Modelling and ControlWe study in this paper the global attractivity for a higher order rational difference equation. As application, our results not only include and generalize many known ones, but also formulate some new results for several conjectures presented by Camouzis
Xianyi Li, Luyao Lv
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The Honeycomb Conjecture [PDF]
Discrete & Computational Geometry, 2001 The classical honeycomb conjecture asserts that any partition of the plane into regions of equal area has perimeter at least that of the regular hexagonal honeycomb tiling. Pappus discusses this problem in his preface to Book V. This paper gives the first general proof of the conjecture.
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