Results 51 to 60 of about 69,077 (284)
Statistical mechanics approach to some problems in conformal geometry
A weak law of large numbers is established for a sequence of systems of N classical point particles with logarithmic pair potential in $\bbR^n$, or $\bbS^n$, $n\in \bbN$, which are distributed according to the configurational microcanonical measure ...
Aubin +58 more
core +2 more sources
This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel +13 more
wiley +1 more source
Dual targeting of RET and SRC synergizes in RET fusion‐positive cancer cells
Despite the strong activity of selective RET tyrosine kinase inhibitors (TKIs), resistance of RET fusion‐positive (RET+) lung cancer and thyroid cancer frequently occurs and is mainly driven by RET‐independent bypass mechanisms. Son et al. show that SRC TKIs significantly inhibit PAK and AKT survival signaling and enhance the efficacy of RET TKIs in ...
Juhyeon Son +13 more
wiley +1 more source
$W$--geometry of the Toda systems associated with non-exceptional simple Lie algebras
The present paper describes the $W$--geometry of the Abelian finite non-periodic (conformal) Toda systems associated with the $B,C$ and $D$ series of the simple Lie algebras endowed with the canonical gradation.
A. Bilal +13 more
core +1 more source
Conformally invariant differential equations and projective geometry
AbstractWe combine harmonic analysis on certain pseudo-Riemannian symmetric spaces with results on conformally invariant linear and non-linear differential equations. This gives in many cases part of the decomposition of certain representations of the conformal group of a manifold when restricted to the isometry group.
openaire +2 more sources
A superposition free method for protein conformational ensemble analyses and local clustering based on a differential geometry representation of backbone [PDF]
Abstract Here a differential geometry (DG) representation of protein backbone is explored on the analyses of protein conformational ensembles. The protein backbone is described by curvature, κ, and torsion, τ, values per residue and we propose 1) a new dissimilarity and protein flexibility measurement and 2) a ...
Antonio Marinho da Silva Neto +4 more
openaire +2 more sources
We show that the majority of the 18 analyzed recurrent cancer‐associated ERBB4 mutations are transforming. The most potent mutations are activating, co‐operate with other ERBB receptors, and are sensitive to pan‐ERBB inhibitors. Activating ERBB4 mutations also promote therapy resistance in EGFR‐mutant lung cancer.
Veera K. Ojala +15 more
wiley +1 more source
Superconformal algebras for twisted connected sums and G 2 mirror symmetry
We realise the Shatashvili-Vafa superconformal algebra for G 2 string compactifications by combining Odake and free conformal algebras following closely the recent mathematical construction of twisted connected sum G 2 holonomy manifolds.
Marc-Antoine Fiset
doaj +1 more source
A design tool for globally developable discrete architectural surfaces using Ricci flow
This paper presents an approach for the design of discrete architectural surfaces that are globally developable; that is, having zero Gaussian curvature at every interior node.
Jingyao Zhang, Makoto Ohsaki
doaj +1 more source
Conformal de Rham Hodge theory and operators generalising the Q-curvature [PDF]
We look at several problems in even dimensional conformal geometry based around the de Rham complex. A leading and motivating problem is to find a conformally invariant replacement for the usual de Rham harmonics. An obviously related problem is to find,
Gover, A. Rod
core +3 more sources

