Results 31 to 40 of about 1,140 (162)
The Robustness of Strong Stability of Positive Homogeneous Difference Equations
Journal of Applied Mathematics, 2008 We study the robustness of strong stability of the homogeneous difference equation via the concept of strong stability radii: complex, real and positive radii in this paper. We also show that in the case of positive systems, these radii coincide. Finally,
The Anh Bui, Dang Xuan Thanh Duong
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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 +4 more
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Global behavior of the solutions of some difference equations
Advances in Difference Equations, 2011 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
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On the global stability of some k-order difference equations [PDF]
Results in Nonlinear Analysis, 2018 We use two different techniques, one of them including fixed point tools, i.e., the Prešić type fixed point theorem, in order to study the asymptotic stability of some k-order difference equations for k = 1 and k = 2. In this way, we can study the global
Vasile Berinde , Hafiz Fukhar-ud-din , Mădălina Păcurar
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Tau acetylation at K331 has limited impact on tau pathology in vivo
FEBS Letters, EarlyView.We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto +3 more
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Reducibility and Stability Results for Linear System of Difference Equations
Advances in Difference Equations, 2008 We first give a theorem on the reducibility of linear system of difference equations of the form x(n+1)=A(n)x(n). Next, by the means of Floquet theory, we obtain some stability results.
Adil Misir, Aydin Tiryaki
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Stability Analysis of a Class of Higher Order Difference Equations
Abstract and Applied Analysis, 2014 We consider the sufficient conditions for asymptotic stability and instability of certain higher order nonlinear difference equations with infinite delays in finite-dimensional spaces.
Yuanyuan Liu, Fanwei Meng
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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 +5 more
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Difference inequality for stability of impulsive difference equations with distributed delays
Journal of Inequalities and Applications, 2011 In this paper, we consider a class of impulsive difference equations with distributed delays. By establishing an impulsive delay difference inequality and using the properties of "ρ-cone" and eigenspace of the spectral radius of non-negative ...
Long Shujun, Li Dingshi, Wang Xiaohu
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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
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