Results 81 to 90 of about 477,721 (333)

Drinfeld modular functions.

, 1997
A version of the Shimura reciprocity theorem in the context of Drinfel'd modules is proved.
Lee, Seungjae, Bae, Sunghan
openaire   +3 more sources

Perspectives in educating molecular pathologists on liquid biopsy: Toward integrative, equitable, and decentralized precision oncology

Molecular Oncology, EarlyView.
Liquid biopsy enables minimally invasive, real‐time molecular profiling through analysis of circulating biomarkers in biological fluids. This Perspective highlights the importance of training pathologists through integrative educational programs, such as the European Masters in Molecular Pathology, to ensure effective and equitable implementation of ...
Marius Ilié, Umberto Malapelle, Catherine Alix‐Panabières, Claus Lindbjerg Andersen, Sandra Chlebowski, Vivien Lake, Caroline Lacoux, Virginie Lespinet‐Fabre, Olivier Bordone, Simon Heeke, Christophe Bontoux, Ellen Heitzer, Klaus Pantel, Paul Hofman   +13 more
wiley   +1 more source

Modularity in d > 2 free conformal field theory

Journal of High Energy Physics
We derive new closed form expressions for the partition functions of free conformally-coupled scalars on S 2D−1 × S 1 which resum the exact high-temperature expansion.
Yang Lei, Sam van Leuven
doaj   +1 more source

On Elliptic and Hyperbolic Modular Functions and the Corresponding Gudermann Peeta Functions

Axioms, 2015
In this article, we move back almost 200 years to Christoph Gudermann, the great expert on elliptic functions, who successfully put the twelve Jacobi functions in a didactic setting. We prove the second hyperbolic series expansions for elliptic functions
Thomas Ernst
doaj   +1 more source

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

Molecular Oncology, EarlyView.
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice, Jose I. Lopez, Aitziber Ugalde‐Olano, Maite Zufiaurre, Ianire Astobiza, Natalia Martin‐Martin, Laura Bozal‐Basterra, Saioa Garcia‐Longarte, Amaia Zabala‐Letona, Sofia Rey, Aida Santos‐Martin, Miguel Unda, Ana Loizaga‐Iriarte, Mariona Graupera, Paolo Nuciforo, Arkaitz Carracedo, Isabel Mendizabal   +16 more
wiley   +1 more source

Functional Annotation of Hierarchical Modularity

PLoS ONE, 2012
In biological networks of molecular interactions in a cell, network motifs that are biologically relevant are also functionally coherent, or form functional modules. These functionally coherent modules combine in a hierarchical manner into larger, less cohesive subsystems, thus revealing one of the essential design principles of system-level cellular ...
Kanchana Padmanabhan, Kuangyu Wang, Nagiza F Samatova   +2 more
openaire   +4 more sources

LINC01116, a hypoxia‐lncRNA marker of pathological lymphangiogenesis and poor prognosis in lung adenocarcinoma

Molecular Oncology, EarlyView.
The LINC01116 long noncoding RNA is induced by hypoxia and associated with poor prognosis and high recurrence rates in two cohorts of lung adenocarcinoma patients. Here, we demonstrate that besides its expression in cancer cells, LINC01116 is markedly expressed in lymphatic endothelial cells of the tumor stroma in which it participates in hypoxia ...
Marine Gautier‐Isola, Rafael Lopes Goncalves, Marin Truchi, Caroline Lacoux, Célia Scribe, Hugo Cadis, Laetitia Guardini, Sophie Bekisz, Marius Ilié, Paul Hofman, Georges Vassaux, Bernard Mari, Roger Rezzonico   +12 more
wiley   +1 more source

Theory of multivariable Bessel functions and elliptic modular functions

Le Matematiche, 1998
The theory of multivariable Bessel functions is exploited to establish further links with the elliptic functions. The starting point of the present investigations is the Fourier expansion of the theta functions, which is used to derive an analogous ...
G. Dattoli, A. Torre, S. Lorenzutta
doaj  

Constraining quantum fields using modular theory

Journal of High Energy Physics, 2019
Tomita-Takesaki modular theory provides a set of algebraic tools in quantum field theory that is suitable for the study of the information-theoretic properties of states.
Nima Lashkari
doaj   +1 more source

KdV charges and the generalized torus partition sum in TT‾ deformation

Nuclear Physics B, 2020
We consider KdV currents in a quantum field theory obtained by deforming a two dimensional conformal field theory via the irrelevant operator TT‾. In this paper we determine their torus one–point functions modular properties.
Meseret Asrat
doaj   +1 more source