Results 101 to 110 of about 26,470 (301)
Integrability and Diffeomorphisms on Target Space
, 2007 We briefly review the concepts of generalized zero curvature conditions and integrability in higher dimensions, where integrability in this context is related to the existence of infinitely many conservation laws.
Wereszczynski, A. +2 more
core
Algebraic Complete Integrability of the ⁽²⁾₄ Toda Lattice
This work aims to investigate the algebraic complete integrability of the Toda lattice associated with the twisted affine Lie algebra ⁽²⁾₄. First, we prove that the generic fiber of the momentum map for this system is an affine part of an abelian surface.
Dongho, Joseph +2 more
core +1 more source
Nonlinear Analysis, 2013 This paper studies the Zakharov equation with power law nonlinearity. The traveling wave hypothesis is applied to obtain the 1-soliton solution of this equation.
Richard Morris +2 more
doaj
Liver organoids: modelling complexity in homeostasis and disease
FEBS Letters, EarlyView.Studying liver in vitro has been challenging because simple 2D cell cultures fail to capture liver's cellular and architectural complexity. To bridge this gap, scientists increasingly use organoids, 3D liver models which better mimic liver composition and function. This review examines recent advances in liver organoid complexity and realism, discusses
Anna M. Dowbaj, Meritxell Huch
wiley +1 more source
Epigenetic reprogramming of lineage switching in cancer
FEBS Letters, EarlyView.Cancer cells rarely commit to a single identity. Epigenetic mechanisms and tumor microenvironment cues push epithelial cells toward flexible, hybrid states that can shift into mesenchymal, neuroendocrine, or stem‐like fates, driving metastasis, drug resistance, and tumor heterogeneity. Targeting the epigenetic regulators behind these transitions, using
Ezgi Boyvatlı +4 more
wiley +1 more source
Integrability of continuous bundles [PDF]
, 2016 We give new sufficient conditions for the integrability and unique integrability of continuous tangent sub-bundles on manifolds of arbitrary dimension, generalizing Frobenius' classical Theorem for C^1 sub-bundles.
Luzzatto, S, Tureli, S, War, K
core +1 more source
Bäcklund Transformation for the BC-Type Toda Lattice
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We study an integrable case of $n$-particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a Bäcklund transformation and prove its basic properties: canonicity, commutativity and spectrality.
Vadim Kuznetsov, Evgeny Sklyanin
doaj
Center problem for a class of degenerate quartic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2015 This paper, using pseudo-division algorithm, introduces a method for computing resonant focus numbers of a class of complex polynomial differential systems, establishes the necessary and sufficient conditions for existence of a center for a class of ...
Bo Sang
doaj +1 more source
The microbiome in human skin aging
FEBS Letters, EarlyView.Age‐related skin changes encompass the well‐known visible phenotypic alterations, together with microbiome dysbiosis and a series of molecular aging hallmarks. These hallmarks characterize not only a fully stablished aged phenotype but also the skin aging process itself.
Manuel Huerta Arana +3 more
wiley +1 more source
Cartan Connections on Lie Groupoids and their Integrability [PDF]
, 2016 A multiplicatively closed, horizontal n-plane field D on a Lie groupoid G over M generalizes to intransitive geometry the classical notion of a Cartan connection.
Blaom, A.D.
core +1 more source