Results 51 to 60 of about 108,033 (290)
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
Lie symmetry reductions and conservation laws for fractional order coupled KdV system
Lie symmetry analysis is achieved on a new system of coupled KdV equations with fractional order, which arise in the analysis of several problems in theoretical physics and numerous scientific phenomena.
Hossein Jafari +2 more
doaj +1 more source
This paper employs the Lie symmetry analysis to investigate novel closed-form solutions to a (2+1)-dimensional Bogoyavlenskii’s breaking soliton equation.
Sachin Kumar +4 more
doaj +1 more source
Invariant character varieties of hyperbolic knots with symmetries
We study character varieties of symmetric knots and their reductions mod p. We observe that the varieties present a different behaviour according to whether the knots admit a free or periodic ...
Paoluzzi, Luisa, Porti, Joan
core +3 more sources
The newfound relationship between extrachromosomal DNAs and excised signal circles
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
Invariant solutions and conservation laws of time-dependent negative-order (vnCBS) equation [PDF]
We apply the basic Lie symmetry method to investigate the time-dependent negative-order Calogero-Bogoyavlenskii-Schiff (vnCBS) equation. In this case, the symmetry classification problem is answered.
Yadollah AryaNejad, Asma Khalili
doaj +1 more source
New Reductions of the Unsteady Axisymmetric Boundary Layer Equation to ODEs and Simpler PDEs
Reductions make it possible to reduce the solution of a PDE to solving an ODE. The best known are the traveling wave, self-similar and symmetry reductions.
Alexander V. Aksenov, Anatoly A. Kozyrev
doaj +1 more source
Structural biology of ferritin nanocages
Ferritin is a conserved iron‐storage protein that sequesters iron as a ferric mineral core within a nanocage, protecting cells from oxidative damage and maintaining iron homeostasis. This review discusses ferritin biology, structure, and function, and highlights recent cryo‐EM studies revealing mechanisms of ferritinophagy, cellular iron uptake, and ...
Eloise Mastrangelo, Flavio Di Pisa
wiley +1 more source
We consider the nonlinear reaction–diffusion equation on the unit sphere ut=ΔS2u+f(u), fuu≠0, and carry out a complete Lie point symmetry analysis. Solving the associated determining system yields a rigidity theorem: for every genuinely nonlinear f(u ...
Khalid Ali Alanezy
doaj +1 more source
In this paper, the time-fractional Fujimoto–Watanabe equation is investigated using the Riemann–Liouville fractional derivative. Symmetry groups and similarity reductions are obtained by virtue of the Lie symmetry analysis approach.
Baoyong Guo, Huanhe Dong, Yong Fang
doaj +1 more source

