Results 51 to 60 of about 137,094 (294)

Tau-functions and generalized integrable hierarchies

, 1992
The tau-function formalism for a class of generalized ``zero-curvature'' integrable hierarchies of partial differential equations, is constructed. The class includes the Drinfel'd-Sokolov hierarchies.
Hollowood, Timothy J., Miramontes, J.Luis, Timothy Hollowood   +2 more
core   +1 more source

Genus expansion of matrix models and ћ expansion of KP hierarchy

Journal of High Energy Physics, 2020
We study ћ expansion of the KP hierarchy following Takasaki-Takebe [1] considering several examples of matrix model τ-functions with natural genus expansion.
A. Andreev, A. Popolitov, A. Sleptsov, A. Zhabin   +3 more
doaj   +1 more source

Solution of tetrahedron equation and cluster algebras

Journal of High Energy Physics, 2021
We notice a remarkable connection between the Bazhanov-Sergeev solution of Zamolodchikov tetrahedron equation and certain well-known cluster algebra expression. The tetrahedron transformation is then identified with a sequence of four mutations.
P. Gavrylenko, M. Semenyakin, Y. Zenkevich   +2 more
doaj   +1 more source

Comparative Drug Response Profiling in Neuroblastoma Cell Lines and Patient‐Derived Tumor Organoids

Pediatric Blood &Cancer, EarlyView.
ABSTRACT High‐risk neuroblastoma remains a leading cause of pediatric cancer mortality, and improved preclinical models are needed to guide therapeutic developments. We screened seven high‐risk neuroblastoma cell lines and three patient‐derived tumor organoids with 528 compounds alongside bone marrow controls, and compared them with external datasets ...
Krzysztof Wierbiłowicz, Se Whee Sammy Park, Aironas Los, Ernest Liu, Nona Struyf, Tom Erkers, Sören Lehmann, Jan J. Molenaar, Jakob Stenman, Olli Kallioniemi, Päivi Östling, Brinton Seashore‐Ludlow, Kasper Karlsson   +12 more
wiley   +1 more source

SKdV, SmKdV flows and their supersymmetric gauge-Miura transformations [PDF]

Open Communications in Nonlinear Mathematical Physics
The construction of Integrable Hierarchies in terms of zero curvature representation provides a systematic construction for a series of integrable non-linear evolution equations (flows) which shares a common affine Lie algebraic structure. The integrable
Y. F. Adans, A. R. Aguirre, J. F. Gomes, G. V. Lobo, A. H. Zimerman   +4 more
doaj   +1 more source

Comparative Evaluation of Hemodiafiltration, Hemoperfusion, and Standard Hemodialysis on Efficacy, Inflammatory Control, Dialysis Adequacy, and Safety in End‐Stage Renal Disease: A Prospective Observational Study

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo, Weisi Dai, Jie Mao, Mei Ye, Xingshan Lu, Xiaocui Zhang   +5 more
wiley   +1 more source

On Cherednik and Nazarov-Sklyanin large N limit construction for integrable many-body systems with elliptic dependence on momenta

Journal of High Energy Physics, 2021
The infinite number of particles limit in the dual to elliptic Ruijsenaars model (coordinate trigonometric degeneration of quantum double elliptic model) is proposed using the Nazarov-Sklyanin approach.
A. Grekov, A. Zotov
doaj   +1 more source

From mice to humans—divergent strategies for intestinal homeostasis and regeneration

FEBS Letters, EarlyView.
Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa, Shinya Sugimoto, Toshiro Sato   +2 more
wiley   +1 more source

A Few Integrable Couplings of Some Integrable Systems and (2+1)-Dimensional Integrable Hierarchies

Abstract and Applied Analysis, 2014
Two high-dimensional Lie algebras are presented for which four (1+1)-dimensional expanding integrable couplings of the D-AKNS hierarchy are obtained by using the Tu scheme; one of them is a united integrable coupling model of the D-AKNS hierarchy and the
Binlu Feng, Yufeng Zhang, Huanhe Dong
doaj   +1 more source

Integrable operators and squares of Hankel operators. [PDF]

, 2008
Integrable operators arise in random matrix teory, where they describe the asymptotic distributions of large self-adjoint random matrices from the generalized unitary ensembles.
Blower, Gordon
core   +4 more sources