Results 91 to 100 of about 733,090 (333)

Analyticity and propagation of plurisubharmonic singularities [PDF]

Functional Analysis and Complex Analysis. Contemporary Mathematics, Vol. 481, 137-143. AMS, 2009., 2008
A variant of Siu's analyticity theorem is proved for relative types of plurisubharmonic functions. Some results on propagation of plurisubharmonic singularities and maximality of pluricomplex Green functions with analytic singularities are derived.
arxiv  

Interaction vesicles as emerging mediators of host‐pathogen molecular crosstalk and their implications for infection dynamics

FEBS Letters, EarlyView.
Interaction extracellular vesicles (iEVs) are hybrid vesicles formed through host‐pathogen communication. They facilitate immune evasion, transfer pathogens' molecules, increase host cell uptake, and enhance virulence. This Perspective article illustrates the multifunctional roles of iEVs and highlights their emerging relevance in infection dynamics ...
Bruna Sabatke, Izadora Volpato Rossi, Marcel I. Ramirez   +2 more
wiley   +1 more source

Lipschitz contact equivalence and real analytic functions [PDF]

arXiv, 2018
We study the properties of the a complete invariant of the analytic function of two variables with respect to the Lipschitz contact equivalence. This invariant is called pizza. We prove that the pizza of real analytic functions has some continuity properties.
arxiv  

STAT3 expression is reduced in cardiac pericytes in HFpEF and its loss reduces cellular adhesion and induces pericyte senescence

FEBS Letters, EarlyView.
Heart failure with preserved ejection fraction (HFpEF) accounts for half of the heart failure cases. It is characterised by microvascular dysfunction, associated with reduced pericyte coverage and diminished STAT3 expression in pericytes. Loss of STAT3 impairs pericyte adhesion, promotes senescence, and activates a pro‐fibrotic gene program.
Leah Rebecca Vanicek, Ariane Fischer, Mariano Ruz Jurado, Anita Tamiato, Tara Procida‐Kowalski, Jochen Wilhelm, Dennis Hecker, Maximilian Merten, Felicitas Escher, Badder Kattih, Valentina Puntmann, David John, Marcel H. Schulz, Eike Nagel, Stefanie Dimmeler, Guillermo Luxán   +15 more
wiley   +1 more source

Hankel determinant for certain new classes of analytic functions associated the activation functions. [PDF]

Heliyon, 2023
Sun Y, Arif M, Ullah K, Shi L, Faisal MI.   +4 more
europepmc   +1 more source

QK type spaces of analytic functions

Journal of Function Spaces and Applications, 2006
For a nondecreasing function K:[0,8)?[0,8) and ...
Hasi Wulan, Jizhen Zhou
doaj   +1 more source

On Local Behavior of Analytic Functions [PDF]

arXiv, 1999
We prove local inequalities for analytic functions defined on a convex body in $\Re^{n}$ which generalize well-known classical inequalities for polynomials.
arxiv  

Closure and Connected Component of a Planar Global Semianalytic Set Defined by Analytic Functions Definable in O-minimal Structure [PDF]

Archiv der Mathematik, vol.109 (2017), pp.529-538, 2020
We consider a global semianalytic set defined by real analytic functions definable in an o-minimal structure. When the o-minimal structure is polynomially bounded, we show that the closure of this set is a global semianalytic set defined by definable real analytic functions. We also demonstrate that a connected component of a planar global semianalytic
arxiv  

Ion channel function of polycystin‐2/polycystin‐1 heteromer revealed by structure‐guided mutagenesis

FEBS Letters, EarlyView.
Mutations in polycystin‐1 (PC1) or polycystin‐2 (PC2) cause autosomal‐dominant polycystic kidney disease (ADPKD). We generated a novel gain‐of‐function PC2/PC1 heteromeric ion channel by mutating pore‐blocking residues. Moreover, we demonstrated that PC2 will preferentially assemble with PC1 to form heteromeric complexes when PC1 is co‐expressed ...
Tobias Staudner, Juthamas Khamseekaew, M. Gregor Madej, Linda Geiges, Bardha Azemi, Christine Ziegler, Christoph Korbmacher, Alexandr V. Ilyaskin   +7 more
wiley   +1 more source

Differential inequalities for meromorphic p-valent functions associated with generalized integral operator

Le Matematiche, 2013
In this paper the author introduced a new generalized integral operator for meromorphic p-valent functions in U*={z:z in C and 0<|z|<1. The object of this paper is to give an application of this operator to the differential inequalities.
Rabha M. El-Ashwah
doaj