Results 101 to 110 of about 7,793,267 (329)

Group Classification and Symmetry Reduction of a (1+1)-Dimensional Porous Medium Equation

AppliedMath
In this paper, we present Lie symmetry analysis of a generalized (1+1)-dimensional porous medium equation characterized by parameters m and d. Through group classification, we examine how these parameters influence the Lie symmetry structure of the ...
Polokwane Charles Makibelo, Winter Sinkala, Lazarus Rundora   +2 more
doaj   +1 more source

Survivin and Aurora Kinase A control cell fate decisions during mitosis

Molecular Oncology, EarlyView.
Aurora A interacts with survivin during mitosis and regulates its centromeric role. Loss of Aurora A activity mislocalises survivin, the CPC and BubR1, leading to disruption of the spindle checkpoint and triggering premature mitotic exit, which we refer to as ‘mitotic slippage’.
Hana Abdelkabir, Shalitha Wickrama Arachchige, Sally P. Wheatley   +2 more
wiley   +1 more source

Reaction–Diffusion on the Sphere with a Nonlinear Source Term: Symmetry Analysis, Group Classification, and Similarity Solutions

Mathematics
We consider the nonlinear reaction–diffusion equation on the unit sphere ut=ΔS2u+f(u), fuu≠0, and carry out a complete Lie point symmetry analysis. Solving the associated determining system yields a rigidity theorem: for every genuinely nonlinear f(u ...
Khalid Ali Alanezy
doaj   +1 more source

Exact solutions ofG-invariant chiral equations

Mathematical Notes, 1995
8 TeX pages.
openaire   +3 more sources

Entire invariant solutions to Monge-Ampère equations [PDF]

Proceedings of the American Mathematical Society, 2004
We prove existence and regularity of entire solutions to Monge-Ampère equations invariant under an irreducible action of a compact Lie group.
openaire   +2 more sources

Cytoplasmic p21 promotes stemness of colon cancer cells via activation of the NFκB pathway

Molecular Oncology, EarlyView.
Cytoplasmic p21 promotes colorectal cancer stem cell (CSC) features by destabilizing the NFκB–IκB complex, activating NFκB signaling, and upregulating BCL‐xL and COX2. In contrast to nuclear p21, cytoplasmic p21 enhances spheroid formation and stemness transcription factor CD133.
Arnatchai Maiuthed, Kerstin Huebner, Katharina Erlenbach‐Wuensch, Chuanpit Hampel, Daniela Thalheim, Adriana Vial‐Roehe, Bodee Nutho, Susanne Merkel, Arndt Hartmann, Pithi Chanvorachote, Regine Schneider‐Stock   +10 more
wiley   +1 more source

Molecular characterisation of human penile carcinoma and generation of paired epithelial primary cell lines

Molecular Oncology, EarlyView.
Generation of two normal and tumour (cancerous) paired human cell lines using an established tissue culture technique and their characterisation is described. Cell lines were characterised at cellular, protein, chromosome and gene expression levels and for HPV status.
Simon Broad, Mahmood Hachim, Tom Bertin, Karolina Penderecka, Rifat Hamoudi, Saif Khan, Rui Henrique, Natalie Bergmoser, Manit Arya, Kalle Sipila, Matteo Vietri Rudan, Asif Muneer, Aamir Ahmed   +12 more
wiley   +1 more source

Solutions of Abreu's Equation with Rotation Invariance [PDF]

Methods and Applications of Analysis, 2004
In the paper under review some fourth order nonlinear partial differential equation in an \(n\)-dimensional Cartesian space \({\mathbb R}^{n}\) named Abreu's equation [see \textit{S. K. Donaldson}, J. Differ. Geom., 62, No. 2, 289--349 (2002; Zbl 1074.53059)], in the context of Kähler metrics on tori varietes, are considered.
openaire   +2 more sources

Detection of circulating tumor DNA in colorectal cancer patients using a methylation‐specific droplet digital PCR multiplex

Molecular Oncology, EarlyView.
We developed a cost‐effective methylation‐specific droplet digital PCR multiplex assay containing tissue‐conserved and tumor‐specific methylation markers. The assay can detect circulating tumor DNA with high accuracy in patients with localized and metastatic colorectal cancer.
Luisa Matos do Canto, Louise Raunkilde, Jan Lindebjerg, Mads Malik Aagaard, Christina Therkildsen, Jakob Kleif, Lars Henrik Jensen, Torben Frøstrup Hansen, Rikke Fredslund Andersen   +8 more
wiley   +1 more source

ON SYMMETRY REDUCTIONS AND INVARIANT SOLUTIONS OF THE k-ε TURBULENCE MODEL

Научный вестник МГТУ ГА, 2016
Methods of theoretical group analysis of differential equations are applied to the k -ε turbulence model. Symmetry reductions of the k -ε turbulence model with respect to some three-dimensional symmetry subalgebras are considered.
N. G. Khor'kova
doaj