Results 61 to 70 of about 3,865,749 (296)

The boundary behavior of Bloch functions and univalent functions. [PDF]

Michigan Mathematical Journal, 1988
Let F(t) be a real valued function on the unit circle which belongs to the Zygmund class \(\Lambda^*\), and let E, \(J_ 1\), \(J_ 2\) be the sets where respectively \(F'(t)\) exists and is finite, \(F'(t)=+\infty\), and \(F'(t)=-\infty\). The authors prove that either E has positive Lebesgue measure, or else for every interval I, \[ m_ h(I\cap J_ 1)=m_
Anderson, J. M., Pitt, L. D.
openaire   +2 more sources

ABL kinase‐dependent phosphorylation of SH proteins promotes their direct interaction with CRK family SH2 domains

FEBS Letters, EarlyView.
CT10 regulator of kinase (CRK) and CRK‐Like (CRKL) are signaling adaptors driving cell adhesion, motility, differentiation, and proliferation. SH2‐domain containing (SH) proteins are enriched in YXXP motifs which when phosphorylated create preferred binding sites for CRK family SH2 domains.
Phoebe M. Cousens, Brendan W. Chandler, Anna M. Schmoker, Jaye L. Weinert, Charlotte A. Kearns, Warren T. Yacawych, Amila Šemić, Alicia M. Ebert, Bryan A. Ballif   +8 more
wiley   +1 more source

Numerical Reconstruction of the Source in Dynamical Boundary Condition of Laplace’s Equation

Axioms
In this work, we consider Cauchy-type problems for Laplace’s equation with a dynamical boundary condition on a part of the domain boundary. We construct a discrete-in-time, meshless method for solving two inverse problems for recovering the space–time ...
Miglena N. Koleva, Lubin G. Vulkov
doaj   +1 more source

On Surface Completion and Image Inpainting by Biharmonic Functions: Numerical Aspects

International Journal of Mathematics and Mathematical Sciences, 2018
Numerical experiments with smooth surface extension and image inpainting using harmonic and biharmonic functions are carried out. The boundary data used for constructing biharmonic functions are the values of the Laplacian and normal derivatives of the ...
S. B. Damelin, N. S. Hoang
doaj   +1 more source

Investigating transcription factor dynamics in health and disease using FRAP

FEBS Letters, EarlyView.
FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj, Carolina Vazquez Garzon, Jose Joaquin Velasco, Janine N. Post   +3 more
wiley   +1 more source

Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions

FEBS Letters, EarlyView.
The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang, Hyo Been Jin, Chang Min Kim, So Yeon Lee, Hyun Ho Park   +4 more
wiley   +1 more source

Structure‐forward targeting of claudins with synthetic binders

FEBS Letters, EarlyView.
Claudins form the paracellular barriers between epithelial and endothelial tissues at tight junctions and are targets for molecular binders with the goal of modulating barrier permeability. Claudin‐binding molecules are relevant in drug delivery or in altering claudin interactions with disease‐causing proteins.
Alex J. Vecchio
wiley   +1 more source

Approach regions for the square root of the Poisson kernel and weak L^p boundary functions

, 1999
Let P 0 f(z) = P (z; fi)f(e ) dfi for f 2 L (T), where P (z; fi) is the Poisson kernel in the unit disc. In this paper we consider the convergence properties of the normalised operator P 0 f=P 0 1. We give a complete characterisation of the
Matematiskt Centrum, Boundary Functions, Martin Brundin   +2 more
core  

Evaluation of Correlation Functions in Integrable Quantum Field Theories [PDF]

, 2012
The aim of this thesis is to explore correlation functions in two dimensional quantum field theories in two distinct ways. In part I a new method for calculating the differential equations parametrising the correlation functions of twist fields ...
SILK, JAMES,BRIAN, Silk, James Brian
core  

Two-point boundary correlation functions of dense loop models

SciPost Physics, 2018
We investigate six types of two-point boundary correlation functions in the dense loop model. These are defined as ratios $Z/Z^0$ of partition functions on the $m\times n$ square lattice, with the boundary condition for $Z$ depending on two points $x$
Alexi Morin-Duchesne, Jesper Lykke Jacobsen
doaj   +1 more source