Results 101 to 110 of about 4,153,672 (273)

Inversive Difference Modules and Solvability of Systems of Linear Difference Equations

Rocky Mountain Journal of Mathematics, 2007
The author studies homological properties of inversive difference modules and applies them to the problem of solvability of a system of linear difference equations over a difference field. He proves the existence of Grothendieck's spectral sequence for the functor Ext in the category of inversive difference modules.
openaire   +2 more sources

PAK1 activation drives divergent resistance mechanisms to aromatase inhibition and tamoxifen in a luminal: A breast cancer model

Molecular Oncology, EarlyView.
Breast cancer remains a major cause of cancer death in women, frequently developing endocrine therapy resistance. This study demonstrates that upregulated p21‐activated kinase 1 (PAK1) activity drives resistance to tamoxifen and long‐term estrogen deprivation in ER+ breast cancer models.
Luisa Schwarzmüller, Janina Müller, Efstathios‐Iason Vlachavas, Lukas Beumers, Lena Fleischhacker, Sara Burmester, Angelika Wörner, Sabine Karolus, Dominic Helm, Cindy Körner, Stefan Wiemann   +10 more
wiley   +1 more source

Theoretical Solvability of a Three-Dimensional Cyclic Delayed Rational Difference System

Journal of Mathematics
This paper introduces a new three-dimensional cyclic rational difference system with mixed delays and establishes its theoretical solvability under suitable nondegeneracy and well-definedness assumptions.
Hashem Althagafi
doaj   +1 more source

Spatial and single‐nuclei transcriptomics reveals idiosyncratic and generic patterns in papillary and anaplastic thyroid cancers

Molecular Oncology, EarlyView.
Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur, Joel Rodrigues Vitória, Manuel Saiselet, Ligia Craciun, Denis Larsimont, Anne Lefort, Frédérick Libert, Carine Maenhaut, Sabine Costagliola, Maxime Tarabichi, Mirian Romitti, Vincent Detours   +11 more
wiley   +1 more source

On the Solvability of Some Systems of Nonlinear Difference Equations

Symmetry
The aim of this paper is to find formulas for the solutions of the nonlinear system of difference equations related to symmetry Pn+1=TnTn−2−Pn−3−Tn,Tn+1=PnPn−2±Tn−3±Pn, where the initial conditions P−3,P−2,P−1,P0,T−3,T−2,T−1, and T0 are arbitrary real numbers.
openaire   +1 more source

Epigenetic silencing of the liver‐specific lncRNA LUNAR promotes liver cancer progression via NOTCH activation

Molecular Oncology, EarlyView.
LUNAR is a liver‐specific long noncoding RNA (lncRNA) that is highly expressed in normal liver but becomes epigenetically silenced in hepatocellular carcinoma through promoter hypermethylation. Loss of LUNAR is associated with NOTCH activation, epithelial–mesenchymal transition, and metastasis, whereas restoring LUNAR restrains metastatic progression ...
Se Ha Jang, Hyung Seok Kim, Geum Ok Baek, Moon Gyeong Yoon, Su In Lee, Jee‐Yeong Jeong, Ji Eun Han, Soon Sun Kim, Jae Youn Cheong, Jung Woo Eun   +9 more
wiley   +1 more source

A local meshless technique for recovering dual forms of time-varying sources in the nonlocal inverse heat equation

Results in Applied Mathematics
This study focuses on retrieving a time-dependent source term in the heat equation governed by two distinct nonlocal boundary conditions. The inverse problem is structured with an interior energy over-specification constraint.
Elyas Shivanian, Ahmad Jafarabadi, Mousa J. Huntul   +2 more
doaj   +1 more source

Targeting transcription factors associated with hemoglobinopathies: Lessons from successful interventions and implications for cancer

Molecular Oncology, EarlyView.
This review summarizes the transcription factors, repressive chromatin‐modifying complexes, and epigenetic mechanisms that control fetal hemoglobin repression. Notably, many regulators of γ‐globin silencing also function in transcriptional and epigenetic networks that drive cancer, highlighting opportunities to translate advances in hemoglobinopathy ...
Meigen Yu, Puspa Das, Xing Zhang, Xiaodong Cheng   +3 more
wiley   +1 more source

A Eulerian Numerical Model to Predict the Enhancement Effect of the Gravity-Driven Motion Melting Process for Latent Thermal Energy Storage

Entropy
Latent thermal energy storage (LTES) devices can efficiently store renewable energy in thermal form and guarantee a stable-temperature thermal energy supply.
Shen Tian, Bolun Tan, Yuchen Lin, Tieying Wang, Kaiyong Hu   +4 more
doaj   +1 more source

CEACAM1 participation in breast cancer progression

Molecular Oncology, EarlyView.
In invasive breast cancer (BC), CEACAM1 shifts from an apical to a uniform membranous/cytoplasmic pattern, or is lost, as tumors dedifferentiate, inversely tracking the Ki‐67 proliferative index. In MCF‐7 cells, only CEACAM1‐4L suppresses proliferation, repressing cell cycle and growth factor genes.
Mykola Lyndin, Irina Kube‐Golovin, Anatolii Romaniuk, Gunther Wennemuth   +3 more
wiley   +1 more source