Order and hyper-order of entire solutions of linear differential equations with entire coefficients
Electronic Journal of Differential Equations, 2003 In this paper, we investigate the growth of solutions of the differential equation $$ f^{(k)}+A_{k-1}( z)f^{( k-1) }+dots+A_{1}( z) f'+A_{0}(z) f=0, $$ where $A_{0}( z) ,dots, A_{k-1}(z)$ are entire functions with $A_{0}(z) otequiv 0$. We will show that
Benharrat Belaidi, Karima Hamani
doaj
On the generalized growth and approximation of entire solutions of certain elliptic partial differential equation [PDF]
, 2022 Devendra Kumar, Azza Alghamdi
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FEBS Letters, EarlyView.This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
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Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials [PDF]
, 2012 Mousomi Bhakta, Roberta Musina
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Existence of entire radial solutions to Hessian type system [PDF]
, 2022 Cui Ji-xian
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Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer
FEBS Letters, EarlyView.Ribonucleotide reductases (RNR) synthesize DNA building blocks de novo, making them crucial in DNA replication and drug targeting. FLARE introduces the first single‐tube real‐time coupled RNR assay, which enables isothermal tracking of RNR activity at nanomolar enzyme levels and allows the reconstruction of allosteric regulatory patterns and rapid ...
Jacopo De Capitani +4 more
wiley +1 more source
Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing
FEBS Letters, EarlyView.Unstructured domains known as intrinsically disordered regions (IDRs) are present in nearly every part of the eukaryotic core circadian oscillator. IDRs enable many diverse inter‐ and intramolecular interactions that support clock function. IDR conformations are highly tunable by post‐translational modifications and environmental conditions, which ...
Emery T. Usher, Jacqueline F. Pelham
wiley +1 more source
A new proof for the existence of an equivariant entire solution connecting the minima of the potential for the system Δu - W_u (u) = 0 [PDF]
, 2011 Nicholas D. Alikakos
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Entire Solutions of Nonhomogeneous Linear Differential Equations
Journal of Mathematical Analysis and Applications, 1999 A general theorem concerning the existence of entire solutions of a type of second-order nonhomogeneous linear differential equations is established provided that its coefficients and forcing function are themselves entire functions. The proof of this theorem involves obtaining solutions to a subsidiary equation involving a change of scale of the ...
openaire +2 more sources
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 +3 more
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