Results 91 to 100 of about 7,693,267 (324)
Quantum solutions of a nonlinear Schrödinger equation [PDF]
In the present paper, we precisely conduct a quantum calculus method for the numerical solutions of PDEs. A nonlinear Schrödinger equation is considered. Instead of the known classical discretization methods based on the finite difference scheme, Adomian
S. Arfaoui, Ben Mabrouk
doaj +1 more source
Metric number theory, lacunary series and systems of dilated functions [PDF]
Christoph Aistleitner
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Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing
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
L-function and rational points on an elliptic curve via the classical number theory [PDF]
Kazuma Morita
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Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
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
wiley +1 more source
<title>Seeing the forest in the tree: applying VRML to mathematical problems in number theory</title> [PDF]
Neil J. Gunther
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The role of histone modifications in transcription regulation upon DNA damage
This review discusses the critical role of histone modifications in regulating gene expression during the DNA damage response (DDR). By modulating chromatin structure and recruiting repair factors, these post‐translational modifications fine‐tune transcriptional programmes to maintain genomic stability.
Angelina Job Kolady, Siyao Wang
wiley +1 more source
Time after time – circadian clocks through the lens of oscillator theory
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
wiley +1 more source
In this paper, the fourth power mean values of the generalized quadratic Gauss sums associated with the $ 3 $-order and $ 4 $-order Dirichlet characters are given by using the properties of the Dirichlet characters and Gauss sums.
Xuan Wang, Li Wang , Guohui Chen
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Bounds on integrals with respect to multivariate copulas
In this paper, we present a method to obtain upper and lower bounds on integrals with respect to copulas by solving the corresponding assignment problems (AP’s). In their 2014 paper, Hofer and Iacó proposed this approach for two dimensions and stated the
Preischl Michael
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