Results 41 to 50 of about 19,234 (260)
Nonautonomous Dynamical Systems, 2022 In this work, we study a class of abstract non-autonomous partial functional differential equations with infinite delay. Our main results concern the local existence of the mild solution which can blow up at the finite time.
Diop Mamadou Abdoul +2 more
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Repellers in systems with infinite delay
Journal of Mathematical Analysis and Applications, 1989 A very important model for the interaction of species is a set of autonomous functional differential equations \[ (*)\quad x'(t)=f(x_ t),\quad t\geq 0, \] where x: \({\mathbb{R}}\to {\mathbb{R}}^ n\) and \(x_ t\) is defined for \(t\geq 0\) by \(x_ t(s)=x(t+s)\) for \(-\infty
Burton, T., Hutson, V.
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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
wiley +1 more source
Infinite Horizon Optimal Control of Stochastic Delay Evolution Equations in Hilbert Spaces
Abstract and Applied Analysis, 2013 The aim of the present paper is to study an infinite horizon optimal control problem in which the controlled state dynamics is governed by a stochastic delay evolution equation in Hilbert spaces.
Xueping Zhu, Jianjun Zhou
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Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
FEBS Letters, EarlyView.Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
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Molecular Oncology, EarlyView.Aptamers are used both therapeutically and as targeting agents in cancer treatment. We developed an aptamer‐targeted PLGA–TRAIL nanosystem that exhibited superior therapeutic efficacy in NOD/SCID breast cancer models. This nanosystem represents a novel biotechnological drug candidate for suppressing resistance development in breast cancer.
Gulen Melike Demirbolat +8 more
wiley +1 more source
Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay
Advances in Difference Equations, 2011 We study the existence and uniqueness of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equations with infinite delay in a Banach space .
Li Fang
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Nonuniform Stability of Difference Equations with Infinite Delay
Advanced Nonlinear Studies, 2010 Abstract In this note we consider the notion of nonuniform exponential contraction for delay difference equations with infinite delay (one can argue that the only delay difference equations are those with infinite delay, since otherwise we can always bring them to the standard recurrence form in some higher-dimensional space).
Barreira, Luis, Valls, Claudia
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Correlation of the differential expression of PIK3R1 and its spliced variant, p55α, in pan‐cancer
Molecular Oncology, EarlyView.PIK3R1 undergoes alternative splicing to generate the isoforms, p85α and p55α. By combining large patient datasets with laboratory experiments, we show that PIK3R1 spliced variants shape cancer behavior. While tumors lose the protective p85α isoform, p55α is overexpressed, changes linked to poorer survival and more pronounced in African American ...
Ishita Gupta +10 more
wiley +1 more source
Alexandria Engineering Journal, 2023 This paper discusses controllability results for active types with infinite-time delay of non-instantaneous impulsive fractional differential equations.
Ahmed Salem, Sanaa Abdullah
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