Results 51 to 60 of about 857,676 (288)
Iterated random functions and slowly varying tails
Stochastic Processes and their Applications, 2016 Consider a sequence of i.i.d. random Lipschitz functions $\{ _n\}_{n \geq 0}$. Using this sequence we can define a Markov chain via the recursive formula $R_{n+1} = _{n+1}(R_n)$. It is a well known fact that under some mild moment assumptions this Markov chain has a unique stationary distribution.
openaire +2 more sources
The newfound relationship between extrachromosomal DNAs and excised signal circles
FEBS Letters, EarlyView.Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
The freezing method for Volterra integral equations in a Banach space
Electronic Journal of Qualitative Theory of Differential Equations, 2008 The "freezing" method for ordinary differential equations is extended to the Volterra integral equations in a Banach space of the type $$ x(t)- \int_0^t K(t, t-s)x(s)ds =f(t)\;(t\geq 0),$$ where $K(t,s)$ is an operator valued function "slowly" varying ...
Michael Gil'
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Rehabilitation treatment of multiple sclerosis
Frontiers in Immunology, 2023 Multiple sclerosis is a slowly progressive disease, immunosuppressants and other drugs can delay the progression and progression of the disease, but the most patients will be left with varying degrees of neurological deficit symptoms, such as muscle ...
Haoyang Duan +5 more
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Gravity-driven draining of a thin rivulet with constant width down a slowly varying substrate [PDF]
, 2012 The locally unidirectional gravity-driven draining of a thin rivulet with constant width but slowly varying contact angle down a slowly varying substrate is considered.
Duffy, B. R. +2 more
core
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
FEBS Letters, EarlyView.We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions
FEBS Letters, EarlyView.We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva +10 more
wiley +1 more source
On a class of functional differential equations having slowly varying solutions [PDF]
Publications de l'Institut Mathematique, 2006 Functional differential equations with deviating arguments are studied for the first time in the framework of Karamata regularly varying functions. A sharp condition is established for the existence of slowly varying solutions for a class of second order linear equations of the form x" = q(t)x(g(t)), both in the retarded and in the advanced case.
Takaŝi, Kusano, Marić, Vojislav
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FEBS Letters, EarlyView.We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source
Electronic Journal of Differential Equations, 2014 In this article, we study the asymptotic behavior of strongly decreasing solutions of the first-order nonlinear functional differential equation $$ x'(t)+p(t)| x(g(t))| ^{\alpha -1}x(g(t))=0, $$ where $\alpha $ is a positive constant such that ...
George E. Chatzarakis +2 more
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