Results 21 to 30 of about 1,140 (162)

On the Stability of Volterra Difference Equations of Convolution Type

open access: yesTrends in Computational and Applied Mathematics, 2018
In \cite{Elaydi-10}, S.\ Elaydi obtained a characterization of the stability of the null solution of the Volterra difference equation \beqae x_n=\sum_{i=0}^{n-1} a_{n-i} x_i\textrm{,}\quad n\geq 1\textrm{,} \eeqae by localizing the roots of its ...
Higidio Portillo Oquendo   +2 more
doaj   +1 more source

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

open access: yesFEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe   +3 more
wiley   +1 more source

Hyers–Ulam Stability, Exponential Stability, and Relative Controllability of Non-Singular Delay Difference Equations

open access: yesComplexity, 2022
In this paper, we study the uniqueness and existence of the solutions of four types of non-singular delay difference equations by using the Banach contraction principles, fixed point theory, and Gronwall’s inequality.
Sawitree Moonsuwan   +5 more
doaj   +1 more source

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

open access: yesFEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li   +2 more
wiley   +1 more source

Hyers–Ulam stability of non-autonomous and nonsingular delay difference equations

open access: yesAdvances in Difference Equations, 2021
In this paper, we study the uniqueness and existence of the solution of a non-autonomous and nonsingular delay difference equation using the well-known principle of contraction from fixed point theory.
Gul Rahmat   +5 more
doaj   +1 more source

The (Glg)ABCs of cyanobacteria: modelling of glycogen synthesis and functional divergence of glycogen synthases in Synechocystis sp. PCC 6803

open access: yesFEBS Letters, EarlyView.
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee   +3 more
wiley   +1 more source

Global Asymptotic Stability of a Family of Nonlinear Difference Equations

open access: yesDiscrete Dynamics in Nature and Society, 2013
In this note, we consider global asymptotic stability of the following nonlinear difference equation xn=(∏i=1v(xn-kiβi+1)+∏i=1v(xn-kiβi-1))/(∏i=1v(xn-kiβi+1)-∏i=1v(xn-kiβi-1)),  n=0,1,…, where ki∈ℕ  (i=1,2,…,v),  v≥2, β1∈[-1,1], β2,β3,…,βv∈(-∞,+∞), x-m,x-
Maoxin Liao
doaj   +1 more source

Organ‐specific redox imbalances in spinal muscular atrophy mice are partially rescued by SMN antisense oligonucleotides

open access: yesFEBS Letters, EarlyView.
We identified a systemic, progressive loss of protein S‐glutathionylation—detected by nonreducing western blotting—alongside dysregulation of glutathione‐cycle enzymes in both neuronal and peripheral tissues of Taiwanese SMA mice. These alterations were partially rescued by SMN antisense oligonucleotide therapy, revealing persistent redox imbalance as ...
Sofia Vrettou, Brunhilde Wirth
wiley   +1 more source

Exponential Stability of Difference Equations with Several Delays: Recursive Approach

open access: yesAdvances in Difference Equations, 2009
We obtain new explicit exponential stability results for difference equations with several variable delays and variable coefficients. Several known results, such as Clark's asymptotic stability criterion, are generalized and extended to a new class ...
Leonid Berezansky, Elena Braverman
doaj   +2 more sources

Note on stability estimation of stochastic difference equations

open access: yesOpen Mathematics
Stability estimates are proposed for two variants of Markov processes defined by stochastic difference equations: uncontrolled and controlled. Processes of this type are widely used in applications where their “governing distributions” are known only ...
Gordienko Evgueni, Ruiz de Chavez Juan
doaj   +1 more source

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