Results 41 to 50 of about 4,949,896 (284)
On the Periodicity of a Difference Equation with Maximum [PDF]
Discrete Dynamics in Nature and Society, 2008 We investigate the periodic nature of solutions of the max difference equation xn+1 = max{xn, A}/(xnxn−1), n = 0, 1, …, where A is a positive real parameter, and the initial conditions and such that r−1 and r0 are positive rational numbers. The results in this paper answer the Open Problem 6.2 posed by Grove and Ladas (2005).
Gelisken, Ali +2 more
openaire +4 more sources
FEBS Letters, EarlyView.Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura +2 more
wiley +1 more source
Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley +1 more source
On a Higher-Order Nonlinear Difference Equation
Abstract and Applied Analysis, 2010 This paper shows that all positive solutions of a higher-order nonlinear difference equation are bounded, extending some recent results in the literature.
Bratislav D. Iričanin
doaj +1 more source
A second-order difference equation with sign-alternating coefficients
Kuwait Journal of Science, 2023 We provide an explicit solution for the terms of the sequence $(x_{n,k})$ defined by $$x_{n,k}= x_{n-1,k} - (-1)^{\lfloor (n-2)/k\rfloor} x_{n-2,k}\, ,$$ for $n\geqslant 3$, setting $x_{1,k}=1$ and $x_{2,k}=0$. Several particular examples are considered.
Prof.Carlos Fonseca +2 more
doaj +1 more source
FEBS Letters, EarlyView.Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
wiley +1 more source
On the Difference Equation xn=anxn-k/(bn+cnxn-1⋯xn-k)
Abstract and Applied Analysis, 2012 The behavior of well-defined solutions of the difference equation xn=anxn-k/(bn+cnxn-1⋯xn-k), n∈ℕ0, where k∈ℕ is fixed, the sequences an, bn and cn are real, (bn,cn)≠(0,0), n∈ℕ0, and the initial values x-k,…,x-1 are real numbers, is described.
Stevo Stević +3 more
doaj +1 more source
FEBS Letters, EarlyView.This study reveals that the small GTPase Rab14 is necessary for human papillomavirus (HPV) infection and plays an essential role in the transport of virions to the trans‐Golgi network (TGN). HPV in the early endosome (EE), which harbors GTP‐bound Rab14, is transported to the TGN through the switch of Rab14 from its GTP‐bound to GDP‐bound form.
Yoshiyuki Ishii, Iwao Kukimoto
wiley +1 more source
A SHARP OSCILLATION CRITERION FOR A DIFFERENCE EQUATION WITH CONSTANT DELAY [PDF]
, 2020 It is known that all solutions of the difference equation Δx(n)+p(n)x(n−k)=0,n≥0, where {p(n)}∞n=0 is a nonnegative sequence of reals and k is a natural number, oscillate if lim infn→∞∑n−1i=n−kp(i)>(kk+1)k+1.
Benekas, Vasileios +2 more
core +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We introduce notion of a generalized invariant for difference equations, which naturally generalizes notion of an invariant for the equations. Some motivations, basic examples and methods for application of invariants in the theory of solvability of ...
Stevo Stevic
doaj +1 more source