Results 81 to 90 of about 546,512 (289)

Supersymmetric version of a Gaussian irrotational compressible fluid flow

, 2007
The Lie point symmetries and corresponding invariant solutions are obtained for a Gaussian, irrotational, compressible fluid flow. A supersymmetric extension of this model is then formulated through the use of a superspace and superfield formalism.
A J Hariton, A M Grundland, Abramowitz M, Chandrasekhar S, Chen F, Clarkson P A, Hariton A J, Hussin V, Jackiw R, Jackiw R, Kac V, Lamb H, Loewner C, Luban M, Mokhov O I, Olver P J, Plateau J, Roelofs G H M, Sommerfeld A, Spivak M, Winternitz P   +20 more
core   +1 more source

Phenotypic and genotypic characterization of single circulating tumor cells in the follow‐up of high‐grade serous ovarian cancer

Molecular Oncology, EarlyView.
Single circulating tumor cells (sCTCs) from high‐grade serous ovarian cancer patients were enriched, imaged, and genomically profiled using WGA and NGS at different time points during treatment. sCTCs revealed enrichment of alterations in Chromosomes 2, 7, and 12 as well as persistent or emerging oncogenic CNAs, supporting sCTC identity.
Carolin Salmon, Rui P. L. Neves, Nikolas H. Stoecklein, Sven‐Thorsten Liffers, Jens Siveke, Jan D. Kuhlmann, Pauline Wimberger, Paul Buderath, Rainer Kimmig, Sabine Kasimir‐Bauer   +9 more
wiley   +1 more source

New solutions to the $s\ell_q(2)$-invariant Yang-Baxter equations at roots of unity: cyclic representations

, 2012
We find the all solutions to the $sl_q(2)$-invariant multi-parametric Yang-Baxter equations (YBE) at $q=i$ defined on the cyclic (semi-cyclic, nilpotent) representations of the algebra.
Karakhanyan, D., Khachatryan, Sh.
core   +1 more source

Hippo pathway at the crossroads of stemness and therapeutic resistance in breast cancer

Molecular Oncology, EarlyView.
Dysregulation of the Hippo pathway drives nuclear accumulation of YAP/TAZ, activating stemness‐related transcriptional programs that sustain breast cancer stemness and fuel therapeutic resistance across subtypes, underscoring Hippo signaling as a targetable vulnerability. Figure created and edited with BioRender.com.
Giulia Schiavoni, Antonella Palmese, Stefano Scalera, Laura Cipriani, Davide Mascolo, Patrizia Vici, Teresa Arcuri, Lorena Filomeno, Eriseld Krasniqi, Giovanni Blandino, Giulia Bon, Marcello Maugeri‐Saccà   +11 more
wiley   +1 more source

From very-extended to overextended gravity and M-theories

, 2004
The formulation of gravity and M-theories as very-extended Kac-Moody invariant theories encompasses, for each very-extended algebra G+++, two distinct actions invariant under the overextended Kac-Moody subalgebra G++.
Englert, Francois, Henneaux, Marc, Houart, Laurent   +2 more
core   +1 more source

Cell‐cycle‐specific lesion evolution rather than inhibition of double‐strand‐break repair underpins cisplatin radiosensitization

Molecular Oncology, EarlyView.
We analyze cisplatin–DNA adducts (CDAs) and double‐strand breaks (DSBs) in a cell‐cycle‐dependent manner. We find that CDAs form similarly across all cell cycle phases. DSBs arise only in S‐phase. CDAs might not directly impair DSB repair, but S‐phase DSB lesions evolve in the presence of CDAs and disrupt repair in G2, also causing radiosensitization ...
Ye Qiu, Xixi Lin, Emil Mladenov, Veronika Mladenova, Jürgen Thomale, Ali Sak, Yao Wang, Yunxuan Deng, Eleni Gkika, Martin Stuschke, George Iliakis   +10 more
wiley   +1 more source

Group Classification and Symmetry Reduction of a (1+1)-Dimensional Porous Medium Equation

AppliedMath
In this paper, we present Lie symmetry analysis of a generalized (1+1)-dimensional porous medium equation characterized by parameters m and d. Through group classification, we examine how these parameters influence the Lie symmetry structure of the ...
Polokwane Charles Makibelo, Winter Sinkala, Lazarus Rundora   +2 more
doaj   +1 more source

On the invariant symmetries of the $\mathcal{D}$-metrics

, 2008
We analyze the symmetries and other invariant qualities of the $\mathcal{D}$-metrics (type D aligned Einstein Maxwell solutions with cosmological constant whose Debever null principal directions determine shear-free geodesic null congruences). We recover
Coll B., Debever R., Joan Josep Ferrando, Juan Antonio Sáez, Papapetrou A.   +4 more
core   +1 more source

Polarization‐resolved femtosecond Vis/IR spectroscopy tailored for resolving weak signals in biological samples using minimal sample volume

FEBS Open Bio, EarlyView.
Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley   +1 more source

Reaction–Diffusion on the Sphere with a Nonlinear Source Term: Symmetry Analysis, Group Classification, and Similarity Solutions

Mathematics
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