Results 61 to 70 of about 132,792 (288)
Negative flows of generalized KdV and mKdV hierarchies and their gauge-Miura transformations
Journal of High Energy Physics, 2023 The KdV hierarchy is a paradigmatic example of the rich mathematical structure underlying integrable systems and has far-reaching connections in several areas of theoretical physics.
Ysla F. Adans +4 more
doaj +1 more source
The twistor description of integrable systems [PDF]
, 1991 The theory of twistors and the theory of integrable models have, for many years, developed independently of each other. However, in recent years it has been shown that there is considerable overlap between these two apparently disparate areas of ...
Strachan, Ian Alexander Becket
core
Oncogenic DMTF1β promotes cancer cell motility by regulating autophagy through ULK1 stabilization
Molecular Oncology, EarlyView.In the current study, we demonstrate that the oncogene DMTF1β regulates ULK1 stability by reducing its proteasomal degradation in cancer cells. This stabilization enables ULK1 to induce autophagy, which in turn facilitates cancer cell migration. Consequently, reduced DMTF1β levels lead to decreased autophagy and impaired cancer cell migration.
Jun Xu +13 more
wiley +1 more source
Journal of High Energy Physics, 2019 We construct N = 4 D 2 , 1 ; α $$ \mathcal{N}=4D\left(2,1;\ \alpha \right) $$ superconformal quantum mechanical system for any configuration of vectors forming a ∨-system.
Georgios Antoniou, Misha Feigin
doaj +1 more source
Liouville Correspondences between Integrable Hierarchies [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2017 In this paper, we study explicit correspondences between the integrable Novikov and Sawada-Kotera hierarchies, and between the Degasperis-Procesi and Kaup-Kupershmidt hierarchies. We show how a pair of Liouville transformations between the isospectral problems of the Novikov and Sawada-Kotera equations, and the isospectral problems of the Degasperis ...
Kang, J., Liu, X., Olver, P.J., Qu, C.
openaire +4 more sources
A List of 1 + 1 Dimensional Integrable Equations and Their Properties [PDF]
, 2001 This paper contains a list of known integrable systems. It gives their recursion-, Hamiltonian-, symplectic- and cosymplectic operator, roots of their symmetries and their scaling ...
Jing Ping Wang, Wang, Jing Ping
core +1 more source
Molecular Oncology, EarlyView.Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur +11 more
wiley +1 more source
Field analogue of the Ruijsenaars-Schneider model
Journal of High Energy Physics, 2022 We suggest a field extension of the classical elliptic Ruijsenaars-Schneider model. The model is defined in two different ways which lead to the same result.
A. Zabrodin, A. Zotov
doaj +1 more source
On Classification of Integrable Davey-Stewartson Type Equations [PDF]
, 2013 This paper is devoted to the classification of integrable Davey-Stewartson type equations. A list of potentially deformable dispersionless systems is obtained through the requirement that such systems must be generated by a polynomial dispersionless Lax ...
Novikov, Vladimir, Huard, Benoit
core +1 more source
Molecular Oncology, EarlyView.Single‐cell DNA methylation (scDNAme) profiling maps epimutational clonal evolution, revealing mechanisms of malignancy and therapeutic resistance across diverse cancer types. By providing a high‐resolution landscape of intratumoral heterogeneity, these technologies empower precise patient stratification, guide the development of enhanced ...
Ik Soo Kim
wiley +1 more source