Results 71 to 80 of about 5,252,215 (280)

A FLOQUET THEORY FOR FUNCTIONAL DIFFERENTIAL EQUATION [PDF]

Proceedings of the National Academy of Sciences, 1962
Introduction.-Let C denote the space of continuous functions from [-h, 01 into Rm, m-dimensional Euclidean spa.ce, h > 0, with the norm in C given by 111\ = max 1{(u) l, -h s, by x,(u) = x(t + u), -h s u s 0. With this notation (due to Hale4) and the above definitions, we may write the linear functional differential equation with periodic ...
openaire   +2 more sources

Autophagy and mitophagy in pancreatic β‐cell homeostasis and their involvement in diabetes pathophysiology

FEBS Letters, EarlyView.
This review focuses on the role of autophagy and mitophagy in maintaining pancreatic β‐cell function and homeostasis. We discuss how genetic defects affecting these pathways contribute to the development of type 1, type 2, monogenic, and gestational diabetes. We further explore their potential as therapeutic targets. Created in BioRender.
Yunkyeong Lee, Mingming Tong, Anna L. Gloyn   +2 more
wiley   +1 more source

Convergence rate of numerical solutions to SFDEs with jumps [PDF]

, 2011
In this paper, we are interested in numerical solutions of stochastic functional differential equations with jumps. Under a global Lipschitz condition, we show that the pth-moment convergence of Euler–Maruyama numerical solutions to stochastic functional
Yuan, Chenggui, Bottcher, Bjorn, Mao, Xuerong, Bao, Jianhai   +3 more
core   +4 more sources

Time averaging for ordinary differential equations and retarded functional differential equations

Electronic Journal of Differential Equations, 2010
We prove averaging theorems for non-autonomous ordinary differential equations and retarded functional differential equations in the case where the vector fields are continuous in the spatial variable uniformly with respect to the time and the ...
Mustapha Lakrib, Tewfik Sari
doaj  

Functional Solutions of Stochastic Differential Equations

Mathematics
We present an integration condition ensuring that a stochastic differential equation dXt=μ(t,Xt)dt+σ(t,Xt)dBt, where μ and σ are sufficiently regular, has a solution of the form Xt=Z(t,Bt).
Imme van den Berg
doaj   +1 more source

Emerging experimental and computational methods for studying redox‐regulated structural transitions

FEBS Letters, EarlyView.
Redox reactions can reshape proteins and alter how they behave in cells, with important consequences for health and disease. This review explores emerging experimental and computational approaches for discovering these redox‐sensitive protein switches, revealing their structural effects, and predicting their behavior, opening new opportunities to ...
Tasneem Rass, Dana Reichmann, Gábor Erdős   +2 more
wiley   +1 more source

A Partial Functional Differential Equation

Journal of Mathematical Analysis and Applications, 2001
The author of this interesting paper investigates the partial functional differential equation \[ \partial u(x,t)\partial t =k \partial^2 u(x,t)\partial x^2+ru(x,t-T)[1-u(x,t)], \;\;t\geq 0, \;\;x\in [{}0,\pi ]{} \] under the boundary condition \(u(0,t)=u(\pi ,t)=0\) (\(t>0\)) and \(u(x,s)=\phi (x,s)\), \(-T\leq s\leq 0\), \(0\leq x\leq \pi \).
openaire   +2 more sources

Functional comparison of EncB and EncC cargo proteins in iron storage within the Myxococcus xanthus encapsulin

FEBS Letters, EarlyView.
Encapsulins are protein nanocompartments that play an important role in iron storage. In the Myxococcus xanthus encapsulin system, two cargo proteins called EncB and EncC contribute to iron mineralization. Here, we show that EncB and EncC generate iron‐containing minerals with distinct chemical compositions, suggesting that the composition of stored ...
Harry B. McDowell, Thomas Walther, Egbert Hoiczyk   +2 more
wiley   +1 more source

Asymptotic Comparison of the Solutions of Linear Time-Delay Systems with Point and Distributed Lags with Those of Their Limiting Equations

Abstract and Applied Analysis, 2009
This paper investigates the relations between the particular eigensolutions of a limiting functional differential equation of any order, which is the nominal (unperturbed) linear autonomous differential equations, and the associate ones of the ...
M. De la Sen
doaj   +1 more source

From junk to function — How weak selection in eukaryotes builds new parts and drives genomic complexity

FEBS Letters, EarlyView.
How do genomes gain new functional parts? In eukaryotes, which tend to evolve under weak selection, much of the genome is junk. Palazzo and Qiu borrow the logic of Markov chains to show how non‐functional DNA becomes functional through the appearance of intermediate states, which arise due to epistasis, buffering, and biochemical messiness, allowing ...
Alexander F. Palazzo, Yi Qiu
wiley   +1 more source