Results 51 to 60 of about 231,371 (258)

General Solution of Linear Fractional Neutral Differential Difference Equations

Discrete Dynamics in Nature and Society, 2013
This paper is concerned with the general solution of linear fractional neutral differential difference equations. The exponential estimates of the solution and the variation of constant formula for linear fractional neutral differential difference ...
Hai Zhang, Jinde Cao, Wei Jiang
doaj   +1 more source

Existence of $\Psi$-bounded solutions for linear difference equations on $\mathbb{Z}$

Electronic Journal of Qualitative Theory of Differential Equations, 2008
In this paper, we give a necessary and sufficient condition for the existence of $\Psi$-bounded solutions for the nonhomogeneous linear difference equation x(n + 1) = A(n)x(n) + f(n) on $\mathbb{Z}$.
Aurel Diamandescu
doaj   +1 more source

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

FEBS 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, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source

The planar cell polarity protein Vangl2 interacts with the PDZ‐domains of Scribble but not with a unique PDZ‐like domain in Inturned

FEBS Letters, EarlyView.
Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes, Jan Brysch, Carmen Gelze, Lilli Meier, Daniel Kümmel   +4 more
wiley   +1 more source

Structural insights into an engineered feruloyl esterase with improved MHET degrading properties

FEBS Letters, EarlyView.
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa, Konstantinos Makryniotis, Theofani‐Iosifina Sousani, Evangelos Topakas, Vangelis Daskalakis, Maria Dimarogona   +5 more
wiley   +1 more source

Valosin‐containing protein counteracts ATP‐driven dissolution of FUS condensates through its ATPase activity in vitro

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, Shin‐ichi Tate, Kyota Yasuda   +2 more
wiley   +1 more source

Linear Difference Equations and their Analytic Solutions [PDF]

Transactions of the American Mathematical Society, 1911
Reprinted from "Trans. Am. math. soc. January 1911." ; Thesis (PH.D.)--Princeton university. ; Mode of access: Internet.
openaire   +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

Linear difference equations, frieze patterns, and the combinatorial Gale transform

Forum of Mathematics, Sigma, 2014
We study the space of linear difference equations with periodic coefficients and (anti)periodic solutions. We show that this space is isomorphic to the space of tame frieze patterns and closely related to the moduli space of configurations of points in ...
SOPHIE MORIER-GENOUD, VALENTIN OVSIENKO, RICHARD EVAN SCHWARTZ, SERGE TABACHNIKOV   +3 more
doaj   +1 more source

Linearization for Difference Equations with Infinite Delay

, 2023
In this article, we construct a conjugacy map for a linear difference equation with infinite delay and corresponding nonlinear perturbation. We also prove that the conjugacy map is one-one with some additional conditions. As an application of our result, we show that the cases of (uniform) exponential dichotomy follow from our result.
openaire   +3 more sources