Results 71 to 80 of about 728 (254)
Gauss Quadrature for Refinable Weight Functions
A refineable function \(\phi\) is a solution of a two-scale difference equation \[ \phi(x)= \sum_{j\in\mathbb{Z}} a_j\phi(2x- j), \] where \(a_j\) are real numbers satisfying \[ \sum_{j\in\mathbb{Z}} a_{k+ 2j}= 1,\quad\text{all }k\in\mathbb{Z}. \] The authors study Gaussian quadrature rules having refineable functions as weight functions.
Gautschi, Walter +2 more
openaire +1 more source
Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim +3 more
wiley +1 more source
Projectable Multivariate Refinable Functions and
A biorthogonal wavelet is derived from a pair of biorthogonal refinable functions using the standard technique in multiresolution analysis. In this paper, we introduce the concept of projectable refinable functions and demonstrate that many multivariate ...
Biorthogonal Wavelets, Bin Han
core
Exact and Soft Successive Refinement of the Information Bottleneck. [PDF]
Charvin H, Catenacci Volpi N, Polani D.
europepmc +1 more source
BCL9 and BCL9L drive bladder cancer progression by enhancing β‐catenin signaling, promoting proliferation, migration, invasion, and organoid growth. Genetic depletion of BCL9(L) suppresses malignant phenotypes, while pharmacological disruption of the β‐catenin/BCL9(L) complex with ZW4864 inhibits canonical Wnt signaling and tumor‐associated cellular ...
Roland Kotolloshi +11 more
wiley +1 more source
Refinable subspaces of a refinable space
Local refinable finitely generated shift-invariant spaces play a significant role in many areas of approximation theory and geometric design. In this paper we present a new approach to the construction of such spaces. We begin with a refinable function ψ:
Thomas A. Hogan, Douglas P. Hardin
core
RoboMic is an automated confocal microscopy pipeline for high‐throughput functional imaging in living cells. Demonstrated with fluorescence recovery after photobleaching (FRAP), it integrates AI‐driven nuclear segmentation, ROI selection, bleaching, and analysis.
Selçuk Yavuz +6 more
wiley +1 more source
Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley +1 more source
Regularity of anisotropic refinable functions
This paper presents a detailed regularity analysis of multivariate refinable functions with general dilation matrices, with emphasis on the anisotropic case.
Charina, Maria +3 more
core +1 more source
Nuclear pore links Fob1‐dependent rDNA damage relocation to lifespan control
Damaged rDNA accumulates at a specific perinuclear interface that couples nucleolar escape with nuclear envelope association. Nuclear pores at this site help inhibit Fob1‐induced rDNA instability. This spatial organization of damage handling supports a functional link between nuclear architecture, rDNA stability, and replicative lifespan in yeast.
Yamato Okada +5 more
wiley +1 more source

