Results 41 to 50 of about 111,630 (280)

Conservation laws, symmetry reductions, and exact solutions of some Keller–Segel models

Advances in Difference Equations, 2018
In this paper, three Keller–Segel models are considered from the point of Lie symmetry analysis, conservation laws, symmetry reduction, and exact solutions. By means of Lie symmetry analysis, we first obtain all the symmetries for the three models. Based
Lihua Zhang, Fengsheng Xu
doaj   +1 more source

A Group Theoretical Identification of Integrable Equations in the Li\'enard Type Equation $\ddot{x}+f(x)\dot{x}+g(x) = 0$ : Part II: Equations having Maximal Lie Point Symmetries

, 2009
In this second of the set of two papers on Lie symmetry analysis of a class of Li\'enard type equation of the form $\ddot {x} + f(x)\dot {x} + g(x)= 0$, where over dot denotes differentiation with respect to time and $f(x)$ and $g(x)$ are smooth ...
Ibragimov N. H., Korn F. A., Lie S., M. Lakshmanan, M. Senthilvelan, P. S. Bindu, Prince G. E., S. N. Pandey   +7 more
core   +1 more source

Lie analysis, conserved quantities and solitonic structures of Calogero-Degasperis-Fokas equation

Alexandria Engineering Journal, 2021
The paper investigates Calogero-Degasperis-Fokas (CDF) equation, an exactly solvable third order nonlinear evolution equation (Fokas, 1980). All possible functions for the unknown function F(ν) in the considered equation are listed that contains the ...
Adil Jhangeer, Hadi Rezazadeh, Reza Abazari, Kenan Yildirim, Sumaira Sharif, Farheen Ibraheem   +5 more
doaj   +1 more source

Lie-point symmetries and nonlinear dynamical systems

Mathematical and Computer Modelling, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cicogna, G., Gaeta, G.
openaire   +1 more source

Multiple Hamiltonian structure of Bogoyavlensky-Toda lattices

, 2006
This paper is mainly a review of the multi--Hamiltonian nature of Toda and generalized Toda lattices corresponding to the classical simple Lie groups but it includes also some new results.
Collingwood D. H., Damianou P. A., Ibragimov N. H., Koszul J. L., Kupershmidt B., Lichnerowicz A., Manakov S., Moser J., Oevel W., Ovsiannikov L. V., PANTELIS A. DAMIANOU, Smirnov R. G., Weinstein A.   +12 more
core   +1 more source

Structural biology of ferritin nanocages

FEBS Letters, EarlyView.
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

Lie symmetry analysis, Lie-Bäcklund symmetries, explicit solutions, and conservation laws of Drinfeld-Sokolov-Wilson system

Boundary Value Problems, 2017
The symmetry analysis method is used to study the Drinfeld-Sokolov-Wilson system. The Lie point symmetries of this system are obtained. An optimal system of one-dimensional subalgebras is derived by using Ibragimov’s method.
Yufeng Zhang, Zhonglong Zhao
doaj   +1 more source

Lie algebroid morphisms, Poisson Sigma Models, and off-shell closed gauge symmetries [PDF]

, 2004
Chern-Simons gauge theories in 3 dimensions and the Poisson Sigma Model (PSM) in 2 dimensions are examples of the same theory, if their field equations are interpreted as morphisms of Lie algebroids and their symmetries (on-shell) as homotopies of such ...
Alexandrov, Alexei Kotov, Ashtekar, Ashtekar, Bojowald, Cattaneo, Cattaneo, Crainic, Grumiller, Henneaux, Higgins, Ikeda, Klösch, Kosmann-Schwarzbach, Mackenzie, Martin Bojowald, Schaller, Schoutens, Strobl, Thomas Strobl   +19 more
core   +7 more sources

UiO‐66 metal–organic frameworks in biomedicine: From structural tunability to bioimaging, photodiagnostics, and photodynamic cancer therapy

FEBS Open Bio, EarlyView.
UiO‐66(Zr) metal–organic frameworks are chemically stable, biocompatible, and highly tunable nanomaterials. Their modular structure enables controlled drug delivery, multimodal bioimaging, and light‐activated photodynamic therapy, supporting integrated diagnostic and therapeutic (theranostic) applications in cancer and biomedical research.
Veronika Huntošová, Grigorii Rakhalskii, Miroslav Almáši   +2 more
wiley   +1 more source

Multidimensional Profiling of MRI‐Negative Temporal Lobe Epilepsy Uncovers Distinct Phenotypes

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Although hippocampal sclerosis (TLE‐HS) represents the most frequent cause of temporal lobe epilepsy (TLE), up to 30% of patients show no lesion on visual MRI inspection (TLE‐MRIneg). These cases pose diagnostic and therapeutic challenges and are underrepresented in surgical series.
Alice Ballerini, Alessia Casarini, Niccolò Biagioli, Laura Mirandola, Daniela Ballotta, Paul Summers, Simona Scolastico, Laura Madrassi, Maurilio Genovese, Marcella Malagoli, Gaetano Cantalupo, Giada Giovannini, Matteo Pugnaghi, Niccolò Orlandi, Laura Tassi, Valeria Cuccarini, Domenico Aquino, Elena Tartara, Fulvia Palesi, Giuseppe Didato, Paolo Vitali, the 3TLE Study Group, Roberta Di Giacomo, Fabio Doniselli, Federica Mazzi, Carlo Andrea Galimberti, Claudia A. M. Gandini Wheeler‐Kingshott, Stefano Meletti, Anna Elisabetta Vaudano   +28 more
wiley   +1 more source