Results 41 to 50 of about 5,517,155 (276)
FEBS Letters, EarlyView.Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
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Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this work we consider a partial integro-differential equation. We reformulate it a functional integro-differential equation in a suitable Hilbert space. We apply the method of lines to establish the existence and uniqueness of a strong solution.
Dhirendra Bahuguna, J. Dabas
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An epithelial GPR35 isoform supports tumor‐associated transcriptional and metabolic phenotypes
FEBS Letters, EarlyView.GPR35 generates two functionally distinct isoforms with previously unresolved roles. GPR35‐short mediates immune‐cell chemotaxis, while GPR35‐long is enriched in colorectal cancer epithelium, where it supports increased metabolism, proliferation, and tumor‐associated transcriptional programs.
Jørgen D. Rønneberg +14 more
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Existence of solutions for quasilinear random impulsive neutral differential evolution equation
Arab Journal of Mathematical Sciences, 2018 This paper deals with the existence of solutions for quasilinear random impulsive neutral functional differential evolution equation in Banach spaces and the results are derived by using the analytic semigroup theory, fractional powers of operators and ...
B. Radhakrishnan, M. Tamilarasi
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On Nonautonomous Functional Differential Equations
Journal of Mathematical Analysis and Applications, 1999 The author investigates the existence of an evolution family for the nonautonomous Cauchy problem \[ x'(t)= A(t) x(t),\quad 0\leq s\leq t\leq T,\quad x(s)= x, \] in a Banach space \(X\). Each \(A(t)\) is a linear operator on \(X\). The following result is obtained: Let \(X\), \(Y\), and \(D\) be Banach spaces, \(D\) densely and continuously imbedded in
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A STABILITY THEOREM FOR FUNCTIONAL-DIFFERENTIAL EQUATIONS [PDF]
Proceedings of the National Academy of Sciences, 1963 A sufficient condition for the asymptotic stability of the trivial solution of a functional differential system is given which generalizes a result of \textit{J. P. Lasalle} [IRE Trans. Circuit Theory 7, 520--527 (1960), \url{http://dx.doi.org/10.1109/TCT.1960.1086720}]. The result is illustrated by means of an example.
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Structure‐forward targeting of claudins with synthetic binders
FEBS Letters, EarlyView.Claudins form the paracellular barriers between epithelial and endothelial tissues at tight junctions and are targets for molecular binders with the goal of modulating barrier permeability. Claudin‐binding molecules are relevant in drug delivery or in altering claudin interactions with disease‐causing proteins.
Alex J. Vecchio
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Convex Solutions of an Iterative Functional Differential Equation
Annales Mathematicae SilesianaeIn this paper, by Schauder's fixed point theorem and the Banach contraction principle, we consider the existence, uniqueness, and stability of convex solutions of a nonhomogeneous iterative functional differential equation.
Li Lin Huang, Hou Yu Zhao
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Stability theory for functional-differential equations [PDF]
Transactions of the American Mathematical Society, 1979 We consider a system of functional differential equations x ′ (
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