Results 91 to 100 of about 60,168 (264)

ON THE DIRICHLET PROBLEMS FOR SYMMETRIC FUNCTION EQUATIONS OF THE EIGENVALUES OF THE COMPLEX HESSIAN [PDF]

Asian Journal of Mathematics, 2004
Let \( D\) be a smoothly bounded domain in \( {\mathbb C}^n \). The author investigates the existence and uniqueness of solutions \( u\) for Dirichlet problems \( f(\lambda(H(u)))=\psi \) in \( \overline{D} \), \( u=\phi \) on \( \partial D \), where \( \lambda(H(u)) \) denotes the eigenvalues of the complex Hessian of \( u \) and \( f \) is a ...
openaire   +2 more sources

Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment

Molecular Oncology, EarlyView.
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley   +1 more source

Targeted modulation of IGFL2‐AS1 reveals its translational potential in cervical adenocarcinoma

Molecular Oncology, EarlyView.
Cervical adenocarcinoma patients face worse outcomes than squamous cell carcinoma counterparts despite similar treatment. The identification of IGFL2‐AS1's differential expression provides a molecular basis for distinguishing these histotypes, paving the way for personalized therapies and improved survival in vulnerable populations globally.
Ricardo Cesar Cintra, Lucca Paolo Hsu Helmich, Daniel Rodrigues de Bastos, Laura Sichero, Patrícia Savio de Araujo‐Souza, Fabio Passetti, Luisa Lina Villa   +6 more
wiley   +1 more source

The description of entire solutions for some class of complex nonlinear partial differential equation (systems) in C2 ${\mathbb{C}}^{2}$

Demonstratio Mathematica
This article focuses on describing the entire solutions of complex nonlinear partial differential equation (systems) with two variables. Utilizing Nevanlinna theory along with the Hadamard factorization theory of meromorphic functions, we derive several ...
Chen Yu Bin, Jiao Xin, Xu Hong Yan
doaj   +1 more source

RIPK4 function interferes with melanoma cell adhesion and metastasis

Molecular Oncology, EarlyView.
RIPK4 promotes melanoma growth and spread. RIPK4 levels increase as skin lesions progress to melanoma. CRISPR/Cas9‐mediated deletion of RIPK4 causes melanoma cells to form less compact spheroids, reduces their migratory and invasive abilities and limits tumour growth and dissemination in mouse models.
Norbert Wronski, Sławomir Lasota, Ewelina Madej, Anna A. Brożyna, Małgorzata Szczygieł, Agnieszka Harazin‐Lechowska, Jan Czerbniak, Janusz Rys, Jaroslaw Czyz, Agnieszka Wolnicka‐Glubisz   +9 more
wiley   +1 more source

Extended non-Markovian stochastic Schrödinger equation with complex frequency modes for general basis functions

The Journal of Chemical Physics
We introduce an extended formulation of the non-Markovian stochastic Schrödinger equation with complex frequency modes (extended cNMSSE), designed for simulating open quantum system dynamics under arbitrary spectral densities. This extension employs non-exponential basis sets to expand the bath correlation functions, overcoming the reliance of the ...
Yukai Guo, Zeyu Huang, Xing Gao
openaire   +2 more sources

COMP–PMEPA1 axis promotes epithelial‐to‐mesenchymal transition in breast cancer cells

Molecular Oncology, EarlyView.
This study reveals that cartilage oligomeric matrix protein (COMP) promotes epithelial‐to‐mesenchymal transition (EMT) in breast cancer. We identify PMEPA1 (protein TMEPAI) as a novel COMP‐binding partner that mediates EMT via binding to the TSP domains of COMP, establishing the COMP–PMEPA1 axis as a key EMT driver in breast cancer.
Konstantinos S. Papadakos, Gilar Gorji‐bahri, Lejla Gradjan, Julia Zajac, Kacper Gil, Yvonne Thokozile Nduku, Anna M. Blom   +6 more
wiley   +1 more source

Domain associated with zinc fingers‐containing NF90‐NF45 complex inhibits m6A modification of primary microRNA by suppressing METTL3/14 activity

FEBS Open Bio, EarlyView.
NF90–NF45 functions as a negative regulator of methyltransferase‐like 3/14 (METTL3/14)‐mediated N6‐methyladenosine (m6A) modification on primary microRNAs (pri‐miRNAs). NF90–NF45 binds to anti‐oncogenic pri‐miRNAs and inhibits their m6A modification, thereby suppressing the biogenesis of anti‐oncogenic miRNAs.
Takuma Higuchi, Shunsuke Morioka, Keiko Morisawa, Kazutsugu Matsukawa, Shingo Ashida, Takeshi Suzuki, Shuji Sakamoto   +6 more
wiley   +1 more source

Understanding bio‐based polymers: A study of origins, properties, biodegradation and their impact on health and the environment

FEBS Open Bio, EarlyView.
This review provides an overview of bio‐based polymer sources, their unique functional properties and their environmental impact, and addresses their role as sustainable alternatives. It discusses end‐of‐life options, including composting and anaerobic digestion for renewable energy.
Sabina Kolbl Repinc, Blaž Stres, Mirica Karlovits, Igor Karlovits, Petra Jerič, Ondrej Panák, Anja Verbič, Blaž Likozar, Uroš Novak   +8 more
wiley   +1 more source

Geophysical Monge–Ampère-Type Equation: Symmetries and Exact Solutions

Mathematics
This paper studies a mixed PDE containing the second time derivative and a quadratic nonlinearity of the Monge–Ampère type in two spatial variables, which is encountered in geophysical fluid dynamics.
Andrei D. Polyanin, Alexander V. Aksenov
doaj   +1 more source