Results 21 to 30 of about 3,006 (218)

A Group Theory Approach towards Some Rational Difference Equations

Journal of Mathematics, 2019
A full Lie point symmetry analysis of rational difference equations is performed. Nontrivial symmetries are derived, and exact solutions using these symmetries are obtained.
Mensah Folly-Gbetoula, Nkosingiphile Mnguni, A. H. Kara   +2 more
doaj   +1 more source

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

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

Hyperactive ice‐binding proteins stabilize cell membranes and improve resistance to dehydration stress in Caenorhabditis elegans

FEBS Open Bio, EarlyView.
TisIBP8, a fungal‐derived hyperactive ice‐binding protein, helps Caenorhabditis elegans survive dehydration. It localizes near cell membranes, reduces cell damage, and helps maintain membrane structure during drying. These results suggest that ice‐binding proteins can protect cells from dehydration stress as well as freezing stress.
Daiki Shimose, Kotaro Ozaki, Ryohei Kuriyama, Yuka Ikemoto, Kazuhiro Mio, Yuji C. Sasaki, Tatsuya Arai, Sakae Tsuda, Yoichi Shinkai, Masahiro Kuramochi   +9 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

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

SPG4 and Dementia: Expanding the Clinical Spectrum

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Hereditary spastic paraplegia (HSP) is a group of disorders characterized by progressive spasticity and lower limb weakness, with mutations in SPG4/SPAST being the most common cause. Detailed studies and clinical and molecular comparisons across different populations are missing.
Emanuele Panza, Arun Meyyazhagan, Eliseo Picchi, Gustavo Ribas, Ingrid Faber, Ryosuke Miyamoto, Preethi Basavaraju, Paolo Eusebi, Haripriya Kuchi Bhotla, Mario Stasi, Fabrizio Gaudiello, Francesco Patti, Filippo Maria Santorelli, Marcondes Cavalcante França Jr, José Luiz Pedroso, Orlando Graziani Povoas Barsottini, Hélio Afonso Ghizoni Teive, Peter Henry St George‐Hyslop, Toshitaka Kawarai, Antonio Orlacchio   +19 more
wiley   +1 more source

Group Analysis Explicit Power Series Solutions and Conservation Laws of the Time-Fractional Generalized Foam Drainage Equation

International Journal of Differential Equations, 2023
In this study, the classical Lie symmetry method is successfully applied to investigate the symmetries of the time-fractional generalized foam drainage equation with the Riemann–Liouville derivative.
Maria Ihsane El Bahi, Khalid Hilal
doaj   +1 more source

CAR T‐Cell Therapy in Neurology: A Scoping Review of Neuro‐Oncology, Autoimmune Diseases & Neurotoxicity

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Chimeric antigen receptor (CAR) T‐cell therapy has been investigated in neurological diseases, encompassing both central nervous system malignancies and autoimmune disorders, thereby extending its application beyond hematological cancers.
Omar Alqaisi, Mohammed Dibas, Patricia Tai, Ala Dibas, Osama Souied, Suhair Al‐Ghabeesh   +5 more
wiley   +1 more source

Invariant analysis and explicit solutions of the time fractional nonlinear perturbed Burgers equation

Nonlinear Analysis, 2015
The Lie group analysis method is performed for the nonlinear perturbed Burgers equation and the time fractional nonlinear perturbed Burgers equation. All of the point symmetries of the equations are constructed.
Gangwei Wang, Tianzhou Xu
doaj   +1 more source