Results 51 to 60 of about 1,127,182 (258)
Distributed order derivatives and relaxation patterns
We consider equations of the form $(D_{( )}u)(t)=- u(t)$, $t>0$, where $ >0$, $D_{( )}$ is a distributed order derivative, that is the Caputo-Dzhrbashyan fractional derivative of order $ $, integrated in $ \in (0,1)$ with respect to a positive measure $ $. Such equations are used for modeling anomalous, non-exponential relaxation processes.
openaire +2 more sources
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 situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
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
Oscillation of Fourth-Order Functional Differential Equations with Distributed Delay
In this paper, the authors obtain some new sufficient conditions for the oscillation of all solutions of the fourth order delay differential equations.
Clemente Cesarano, Omar Bazighifan
doaj +1 more source
A numerical method for distributed-order time fractional 2D Sobolev equation
In this work, the distributed-order time fractional 2D Sobolev equation is introduced. The orthonormal Bernoulli polynomials, as a renowned family of basis functions, are employed to solve this problem.
M.H. Heydari, S. Rashid, F. Jarad
doaj +1 more source
Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions
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
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
wiley +1 more source
We conduct a detailed study and comparison for the one-degree-of-freedom steady-state vibrations under harmonic driving with a single fractional-order derivative and a distributed-order derivative.
Duan Jun-Sheng +2 more
doaj +1 more source
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
Second-order linear recurrences with identically distributed residues modulo pᵉ [PDF]
Let p be an odd prime and let u(a,-1) and u(a',-1) be two Lucas sequences whose discriminants have the same nonzero quadratic character modulo p and whose periods modulo p are equal.
Lawrence Somer, Michal Křížek
doaj +1 more source

