Results 91 to 100 of about 1,101,646 (327)

Entire solutions originating from three fronts to a two-dimensional nonlocal periodic lattice dynamical system [PDF]

arXiv, 2019
This paper is concerned with the entire solutions of a two-dimensional nonlocal periodic lattice dynamical system. With bistable assumption, it is well known that the system has three different types of traveling fronts. The existence of merging-front entire solutions originating from two fronts for the system have been established by Dong, Li \& Zhang
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

Properties of meromorphic solutions to certain differential-difference equations

Electronic Journal of Differential Equations, 2013
We consider the properties of meromorphic solutions to certain type of non-linear difference equations. Also we show the existence of meromorphic solutions with finite order for differential-difference equations related to the Fermat type functional ...
Xiaoguang Qi, Lianzhong Yang
doaj  

Entire holomorphic curves on a Fermat surface of low degree [PDF]

arXiv, 2016
The purpose of the paper is to study some problems raised by Hayman and Gundersen about the existence of non-trivial entire and meromorphic solutions for the Fermat type functional equation $f^n+g^n+h^n=1$. Hayman showed that no non-trivial meromorphic solutions and entire solutions exist when $n \ge 9$ and $n \ge 7$ respectively.
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

Invasion entire solutions in a time periodic Lotka-Volterra competition system with diffusion

Mathematical Biosciences and Engineering, 2017
This paper is concerned with invasion entire solutions of a monostable time periodic Lotka-Volterra competition-diffusion system. We first give the asymptotic behaviors of time periodic traveling wave solutions at infinity by a dynamical approach coupled
Li-Jun Du, Wan-Tong Li, Jia-Bing Wang
doaj   +1 more source

Radial symmetry of positive entire solutions of a fourth order elliptic equation with a singular nonlinearity [PDF]

arXiv, 2018
The necessary and sufficient conditions for a regular positive entire solution $u$ of the biharmonic equation: \begin{equation} \label{0.1} -\Delta^2 u=u^{-p} \;\; \mbox{in $\R^N \; (N \geq 3)$}, \;\; p>1 \end{equation} to be a radially symmetric solution are obtained via the moving plane method (MPM) of a system of equations. It is well-known that for
arxiv  

On Delaunay solutions of a biharmonic elliptic equation with critical exponent [PDF]

arXiv, 2017
We are interested in the qualitative properties of positive entire solutions $u \in C^4 (\mathbb{R}^n \backslash \{0\})$ of the equation \begin{equation} \label{0.0} \Delta^2 u=u^{\frac{n+4}{n-4}} \;\;\mbox{in $\mathbb{R}^n \backslash \{0\}$ and 0 is a non-removable singularity of $u(x)$}. \end{equation} It is known from [Theorem 4.2] that any positive
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

Decoding the dual role of autophagy in cancer through transcriptional and epigenetic regulation

FEBS Letters, EarlyView.
Transcriptional and epigenetic regulation controls autophagy, which exerts context‐dependent effects on cancer: Autophagy suppresses tumorigenesis by maintaining cellular homeostasis or promotes tumor progression by supporting survival under stress. In this “In a Nutshell” article, we explore the intricate mechanisms of the dual function of autophagy ...
Young Suk Yu, Ik Soo Kim, Sung Hee Baek
wiley   +1 more source