Results 41 to 50 of about 861,879 (285)
Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer
Ribonucleotide reductases (RNR) synthesize DNA building blocks de novo, making them crucial in DNA replication and drug targeting. FLARE introduces the first single‐tube real‐time coupled RNR assay, which enables isothermal tracking of RNR activity at nanomolar enzyme levels and allows the reconstruction of allosteric regulatory patterns and rapid ...
Jacopo De Capitani +4 more
wiley +1 more source
Global asymptotic stability of solutions of cubic stochastic difference equations
Global almost sure asymptotic stability of solutions of some nonlinear stochastic difference equations with cubic-type main part in their drift and diffusive part driven by square-integrable martingale differences is proven under appropriate conditions ...
Henri Schurz, Alexandra Rodkina
doaj +2 more sources
Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
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
Strong Stability of Linear Delay-Difference Equations
This paper considers linear delay-difference equations, that is, equations relating the state at a given time with its past values over a given bounded interval. After providing a well-posedness result and recalling Hale--Silkowski Criterion for strong stability in the case of equations with finitely many pointwise delays, we propose a generalization ...
Felipe Gonçalves Netto +2 more
openaire +3 more sources
Mechanisms of parasite‐mediated disruption of brain vessels
Parasites can affect the blood vessels of the brain, often causing serious neurological problems. This review explains how different parasites interact with and disrupt these vessels, what this means for brain health, and why these processes matter. Understanding these mechanisms may help us develop better ways to prevent or treat brain infections in ...
Leonor Loira +3 more
wiley +1 more source
Stability of Solutions for a Family of Nonlinear Difference Equations
We consider the family of nonlinear difference equations: , , where for , , and the initial values . We give sufficient conditions under which the unique equilibrium of these equations is globally asymptotically stable, which extends and ...
Sun Taixiang, Xi Hongjian, Han Caihong
doaj +2 more sources
Global behavior of the solutions of some difference equations
In this article we study the difference equation x n + 1 = a x n - l x n - k b x n - p - c x n - q , n = 0 , 1 , … , where the initial conditions x-r, x-r+1, x-r+2,..., x0 are arbitrary positive real ...
El-Metwally Hamdy +2 more
doaj
Time after time – circadian clocks through the lens of oscillator theory
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
wiley +1 more source
Note on stability estimation of stochastic difference equations
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
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

