Results 81 to 90 of about 480,606 (330)
, 1997 A version of the Shimura reciprocity theorem in the context of Drinfel'd modules is proved.
Lee, Seungjae, Bae, Sunghan
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Molecular Oncology, EarlyView.Development of therapies targeting cancer‐associated fibroblasts (CAFs) necessitates preclinical model systems that faithfully represent CAF–tumor biology. We established an in vitro coculture system of patient‐derived pancreatic CAFs and tumor cell lines and demonstrated its recapitulation of primary CAF–tumor biology with single‐cell transcriptomics ...
Elysia Saputra +10 more
wiley +1 more source
Modularity in d > 2 free conformal field theory
Journal of High Energy PhysicsWe 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
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Elliptic Zeta functions and equivariant functions,
, 2017 In this paper we establish a close connection between three notions at- tached to a modular subgroup. Namely the set of weight two meromorphic modular forms, the set of equivariant functions on the upper half-plane commuting with the action of the ...
Al-Shbail, Isra, Sebbar, Abdellah
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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 +13 more
wiley +1 more source
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
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Supercongruences satisfied by coefficients of 2F1 hypergeometric series [PDF]
, 2009 Recently, Chan, Cooper and Sica conjectured two congruences for coefficients of classical 2F1 hypergeometric series which also arise from power series expansions of modular forms in terms of modular functions.
Chan, Heng Huat +3 more
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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 +2 more
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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 +16 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
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