Results 51 to 60 of about 766,070 (327)
The Lagrangian Conley Conjecture
, 2010 We prove a Lagrangian analogue of the Conley conjecture: given a 1-periodic Tonelli Lagrangian with global flow on a closed configuration space, the associated Euler-Lagrange system has infinitely many periodic solutions.
Mazzucchelli, Marco
core +3 more sources
From omics to AI—mapping the pathogenic pathways in type 2 diabetes
FEBS Letters, EarlyView.Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan +2 more
wiley +1 more source
Some Further Results on Traveling Wave Solutions for the ZK-BBM() Equations
Journal of Applied Mathematics, 2013 We investigate the traveling wave solutions for the ZK-BBM() equations by using bifurcation method of dynamical systems. Firstly, for ZK-BBM(2, 2) equation, we obtain peakon wave, periodic peakon wave, and smooth periodic wave solutions and point out ...
Shaoyong Li, Zhengrong Liu
doaj +1 more source
Rectangular p-periodicity and pq-periodicity of a rational difference system
Examples and Counterexamples, 2021 In this paper, we classify periodic characters of the positive solutions of the difference system (1) xn+1=αe−(yn+xn−1)β+yn+xn−1,yn+1=γe−(xn+yn−1)δ+xn+yn−1as rectangular p-periodic and pq-periodic solutions, where the constants α,β,γ,δ,x−1,x0,y−1,y0>0 ...
D.S. Dilip, Sibi C. Babu
doaj +1 more source
ERBIN limits epithelial cell plasticity via suppression of TGF‐β signaling
FEBS Letters, EarlyView.In breast and lung cancer patients, low ERBIN expression correlates with poor clinical outcomes. Here, we show that ERBIN inhibits TGF‐β‐induced epithelial‐to‐mesenchymal transition in NMuMG breast and A549 lung adenocarcinoma cell lines. ERBIN suppresses TGF‐β/SMAD signaling and reduces TGF‐β‐induced ERK phosphorylation.
Chao Li +3 more
wiley +1 more source
Periodic solutions of periodic difference equations
Advanced Studies in Pure Mathematics, 2019 In this paper, we discuss the existence of periodic solutions of the periodic difference equation $$ x(n + 1) = f(n, x(n)),\ \ n \in \mathbf{Z} $$ and the periodic difference equation with finite delay $$ x(n + 1) = f(n, x_n),\ \ n \in \mathbf{Z}, $$ where $x$ and $f$ are $d$-vectors, and $\mathbf{Z}$ denotes the set of integers.
Furumochi, Tetsuo, Muraoka, Masato
openaire +2 more sources
FEBS Letters, EarlyView.Spinal muscular atrophy (SMA) is a genetic disease affecting motor neurons. Individuals with SMA experience mitochondrial dysfunction and oxidative stress. The aim of the study was to investigate the effect of an antioxidant and neuroprotective substance, ergothioneine (ERGO), on an SMNΔ7 mouse model of SMA.
Francesca Cadile +8 more
wiley +1 more source
Almost periodic solutions of periodic linear partial functional differential equations
, 2018 We study conditions for the abstract periodic linear functional differential equation $\dot{x}=Ax+F(t)x_t+f(t)$ to have almost periodic with the same structure of frequencies as $f$.
Luong, Vu Trong, Van Minh, Nguyen
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Periodic solutions of autonomous equations
Journal of Mathematical Analysis and Applications, 1978 The purpose of this chapter is to give a procedure for determining periodic solutions of some classes of autonomous RFDEs.
Shui-Nee Chow, Jack K. Hale
openaire +3 more sources
Microbial exopolysaccharide production by polyextremophiles in the adaptation to multiple extremes
FEBS Letters, EarlyView.Polyextremophiles are microorganisms that endure multiple extreme conditions by various adaptation strategies that also include the production of exopolysaccharides (EPSs). This review provides an integrated perspective on EPS biosynthesis, function, and regulation in these organisms, emphasizing their critical role in survival and highlighting their ...
Tracey M Gloster, Ebru Toksoy Öner
wiley +1 more source