Results 131 to 140 of about 8,147,434 (373)

Boundedness and stabilization in a quasilinear chemotaxis model with nonlocal growth term and indirect signal production

Communications in Analysis and Mechanics
In this paper, we study the following fully parabolic chemotaxis system with nonlocal growth and indirect signal production: \begin{document}$ \begin{equation*} \left\{ \begin{array}{@{}l@{\quad}l} u_{t} = \nabla\cdot( D(u)\nabla u)-\nabla\cdot(u ...
Min Jiang, Dandan Liu, Rengang Huang
doaj   +1 more source

Local and global existence theorems for the Einstein equations [PDF]

Living Reviews in Relativity, 1998
This article is a guide to the literature on existence theorems for the Einstein equations which also draws attention to open problems in the field. The local in time Cauchy problem, which is relatively well understood, is treated first. Next global results for solutions with symmetry are discussed.
openaire   +10 more sources

Cytomegalovirus infection is common in prostate cancer and antiviral therapies inhibit progression in disease models

Molecular Oncology, EarlyView.
Human cytomegalovirus infection is common in normal prostate epithelium, prostate tumor tissue, and prostate cancer cell lines. CMV promotes cell survival, proliferation, and androgen receptor signaling. Anti‐CMV pharmaceutical compounds in clinical use inhibited cell expansion in prostate cancer models in vitro and in vivo, motivating investigation ...
Johanna Classon, Moa Stenudd, Margherita Zamboni, Kanar Alkass, Carl‐Johan Eriksson, Lars Pedersen, Alrik Schörling, Anna Thoss, Anders Bergh, Pernilla Wikström, Hans‐Olov Adami, Henrik Toft Sørensen, Henrik Druid, Jonas Frisén   +13 more
wiley   +1 more source

Research on the Properties of Solutions to Fourth-Order Pseudo-Parabolic Equations with Nonlocal Sources

Mathematics
This paper investigates the initial-boundary value problem for a fourth-order pseudo-parabolic equation with a nonlocal source: ut+Δ2u−Δut=uq−1u−1Ω∫Ωuq−1udx.
Chunxiao Yang, Wanqing Li
doaj   +1 more source

A Global Existence Theorem for Autonomous Differential Equations in a Banach Space [PDF]

, 1970
R. H. Martin
openalex   +1 more source

Association of high‐dose radioactive iodine therapy with PPM1D‐mutated clonal hematopoiesis in older individuals

Molecular Oncology, EarlyView.
In thyroid cancer patients, high‐dose (≥7.4 GBq) radioactive iodine therapy (RAIT) was associated with a higher prevalence of clonal hematopoiesis (variant allele frequency >2%) in individuals aged ≥50 years (OR = 2.44). In silico analyses showed that truncating PPM1D mutations conferred a selective advantage under these conditions.
Jaeryuk Kim, Sungwoo Bae, Jaeyong Choi, Sun‐Wha Im, Bukyoung Cha, Gyeongseo Jung, Sun Wook Cho, Eul‐Ju Seo, Young Ah Lee, Jin Chul Paeng, Young Joo Park, Jong‐Il Kim   +11 more
wiley   +1 more source

The existence of global solutions of a functional-differential equation [PDF]

, 1976
Stefan Czerwik
openalex   +1 more source

Machine learning for identifying liver and pancreas cancers through comprehensive serum glycopeptide spectra analysis: a case‐control study

Molecular Oncology, EarlyView.
This study presents a novel AI‐based diagnostic approach—comprehensive serum glycopeptide spectra analysis (CSGSA)—that integrates tumor markers and enriched glycopeptides from serum. Using a neural network model, this method accurately distinguishes liver and pancreatic cancers from healthy individuals.
Motoyuki Kohjima, Yuko Takami, Ken Kawabe, Kazuhiro Tanabe, Chihiro Hayashi, Mikio Mikami, Tetsuya Kusumoto   +6 more
wiley   +1 more source

Global Existence, General Decay, and Blow Up of the Solution to the Coupled p-Biharmonic Equation of Hyperbolic Type with Degenerate Damping Terms

Mathematics
In this work, we study a nonlinear system of p-Biharmonic hyperbolic equations with degenerate damping and source terms in a bounded domain. Under appropriate assumptions on the initial data and the damping terms, we establish the global existence of ...
Nouri Boumaza, Billel Gheraibia, Hongwei Zhang, Zayd Hajjej   +3 more
doaj   +1 more source

On the global existence of real analytic solutions of linear differential equations, I [PDF]

, 1971
Takahiro Kawai
openalex   +1 more source