Results 81 to 90 of about 1,550,178 (378)
An existence result for a class of nonlinear integral equations of fractional orders
Using a measure of non-compactness argument, we study in this paper the existence of solutions for a class of functional equations involving a fractional integral with respect to another function.
Ravi P. Agarwala, Bessem Samet
doaj +1 more source
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
wiley +1 more source
Fractional Hydrodynamic Equations for Fractal Media
We use the fractional integrals in order to describe dynamical processes in the fractal media. We consider the "fractional" continuous medium model for the fractal media and derive the fractional generalization of the equations of balance of mass density,
Adler +21 more
core +1 more source
Electron fractionalization [PDF]
A largely qualitative, and rather idiosyncratic discussion of electron fractionalization in condensed matter physics is presented, including some historical reflections and some speculations concerning future application of these ideas. Particular attention is paid to systems which exhibit spin-charge separation, i.e.
openaire +2 more sources
Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer
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
Relationship between the observability of standard and fractional linear systems
The relationship between the observability of standard and fractional discrete-time and continuous-time linear systems are addressed. It is shown that the fractional discrete-time and continuous-time linear systems are observable if and only if the ...
Kaczorek Tadeusz
doaj +1 more source
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
A Formulation of Noether's Theorem for Fractional Problems of the Calculus of Variations
Fractional (or non-integer) differentiation is an important concept both from theoretical and applicational points of view. The study of problems of the calculus of variations with fractional derivatives is a rather recent subject, the main result being ...
Agrawal +18 more
core +1 more source
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

