Results 71 to 80 of about 1,691,019 (337)
Weak-strong uniqueness of hydrodynamic flow of nematic liquid crystals
This article concerns a simplified model for a hydrodynamic system of incompressible nematic liquid crystal materials. It is shown that the weak-strong uniqueness holds for the class of weak solutions provided that either $(mathbf{u}, ablamathbf{d ...
Ji-hong Zhao, Qiao Liu
doaj
SYMMETRY GROUP ANALYSIS OF WEAK SOLUTIONS [PDF]
Methods of Lie group analysis of differential equations are extended to weak solutions of (linear and non-linear) partial differential equations, where the term `weak solution' comprises the following settings: distributional solutions; solutions in generalized function algebras; solutions in the sense of association (corresponding to a number of weak ...
Dapic, N +2 more
openaire +3 more sources
CDK11 inhibition stabilises the tumour suppressor p53 and triggers the production of an alternative p21WAF1 splice variant p21L, through the inactivation of the spliceosomal protein SF3B1. Unlike the canonical p21WAF1 protein, p21L is localised in the cytoplasm and has reduced cell cycle‐blocking activity.
Radovan Krejcir +12 more
wiley +1 more source
Liquid biopsy epigenetics: establishing a molecular profile based on cell‐free DNA
Cell‐free DNA (cfDNA) fragments in plasma from cancer patients carry epigenetic signatures reflecting their cells of origin. These epigenetic features include DNA methylation, nucleosome modifications, and variations in fragmentation. This review describes the biological properties of each feature and explores optimal strategies for harnessing cfDNA ...
Christoffer Trier Maansson +2 more
wiley +1 more source
Intein‐based modular chimeric antigen receptor platform for specific CD19/CD20 co‐targeting
CARtein is a modular CAR platform that uses split inteins to splice antigen‐recognition modules onto a universal signaling backbone, enabling precise, scarless assembly without re‐engineering signaling domains. Deployed here against CD19 and CD20 in B‐cell malignancies, the design supports flexible multi‐antigen targeting to boost T‐cell activation and
Pablo Gonzalez‐Garcia +9 more
wiley +1 more source
HDAC4 is degraded by the E3 ligase FBXW7. In colorectal cancer, FBXW7 mutations prevent HDAC4 degradation, leading to oxaliplatin resistance. Forced degradation of HDAC4 using a PROTAC compound restores drug sensitivity by resetting the super‐enhancer landscape, reprogramming the epigenetic state of FBXW7‐mutated cells to resemble oxaliplatin ...
Vanessa Tolotto +13 more
wiley +1 more source
Weak solutions for a strongly-coupled nonlinear system
In this paper the authors study the existence of local weak solutions of the strongly nonlinear system $$displaylines{ u''+mathcal{A}u +f(u,v)u = h_1 cr v''+mathcal{A}v +g(u,v)v = h_2 }$$ where $mathcal{A}$ is the pseudo-Laplacian operator and $f$, $g$, $
Osmundo A. Lima +2 more
doaj
On a class of superlinear nonlocal fractional problems without Ambrosetti–Rabinowitz type conditions
In this note, we deal with the existence of infinitely many solutions for a problem driven by nonlocal integro-differential operators with homogeneous Dirichlet boundary conditions \begin{equation*} \begin{cases} -\mathcal{L}_{K}u=\lambda f(x,u), &
Qing-Mei Zhou
doaj +1 more source
Development of therapies targeting cancer‐associated fibroblasts (CAFs) necessitates preclinical model systems that faithfully represent CAF–tumor biology. We established an in vitro coculture system of patient‐derived pancreatic CAFs and tumor cell lines and demonstrated its recapitulation of primary CAF–tumor biology with single‐cell transcriptomics ...
Elysia Saputra +10 more
wiley +1 more source
Parabolic Harnack inequality for time-dependent non-symmetric Dirichlet forms [PDF]
In the context of a metric measure Dirichlet space satisfying volume doubling and Poincar\'e inequality, we prove the parabolic Harnack inequality for weak solutions of the heat equation associated with local nonsymmetric bilinear forms.
Lierl, Janna, Saloff-Coste, Laurent
core

