Results 81 to 90 of about 306,199 (304)

Centers on center manifolds in a quadratic system obtained froma scalar third-order differential equation

Electronic Journal of Differential Equations, 2011
We give affirmative answers to two questions concerning the existence of centers on local center manifolds at equilibria of a quadratic system in the three dimensional space.
Warley Ferreira da Cunha, Fabio Scalco Dias, Luis Fernando Mello   +2 more
doaj  

Reduced vascular leakage correlates with breast carcinoma T regulatory cell infiltration but not with metastatic propensity

Molecular Oncology, EarlyView.
A mouse model for vascular normalization and a human breast cancer cohort were studied to understand the relationship between vascular leakage and tumor immune suppression. For this, endothelial and immune cell RNAseq, staining for vascular function, and immune cell profiling were employed.
Liqun He, Chiara Testini, Neda Hekmati, Altea Bonello, Aglaia Schiza, Emmanuel Nwadozi, Mia Phillipson, Carina Strell, Michael Welsh   +8 more
wiley   +1 more source

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

Bogdanov-Takens bifurcation for neutral functional differential equations

Electronic Journal of Differential Equations, 2013
In this article, we consider a class of neutral functional differential equations (NFDEs). First, some feasible assumptions and algorithms are given for the determination of Bogdanov-Takens (B-T) singularity.
Jianzhi Cao, Rong Yuan
doaj  

Information Geometry of Positive Measures and Positive-Definite Matrices: Decomposable Dually Flat Structure

Entropy, 2014
Information geometry studies the dually flat structure of a manifold, highlighted by the generalized Pythagorean theorem. The present paper studies a class of Bregman divergences called the (ρ,τ)-divergence.
Shun-ichi Amari
doaj   +1 more source

Kernel methods for center manifold approximation and a weak data-based version of the Center Manifold Theorem [PDF]

, 2021
Bernard Haasdonk, Boumediene Hamzi, Gabriele Santin, Dominik Wittwar   +3 more
openalex   +1 more source

In vitro models of cancer‐associated fibroblast heterogeneity uncover subtype‐specific effects of CRISPR perturbations

Molecular Oncology, EarlyView.
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, Shamsudheen Karuthedath Vellarikkal, Lixia Li, Hong Sun, Khoa Nguyen, Amber Montano, Suchitra Natarajan, Federica Piccioni, Alex Michael Tamburino, Xin Yu, Aleksandra Katarzyna Olow   +10 more
wiley   +1 more source

Partially hyperbolic diffeomorphisms with one-dimensional neutral center on 3-manifolds

, 2017
We prove that for any partially hyperbolic diffeomorphism with one dimensional neutral center on a 3-manifold, the center stable and center unstable foliations are complete; moreover, each leaf of center stable and center unstable foliations is a ...
Zhang, Jinhua
core  

Stability and Hopf Bifurcation Analysis of a Predator–Prey Model with Weak Allee Effect Delay and Competition Delay

Mathematics
The purpose of this paper is to study a predator–prey model with Allee effect and double time delays. This research examines the dynamics of the model, with a focus on positivity, existence, stability and Hopf bifurcations.
Yurong Dong, Hua Liu, Yumei Wei, Qibin Zhang, Gang Ma   +4 more
doaj   +1 more source

Reduction and normal forms for a delayed reaction–diffusion differential system with B–T singularity

Advances in Difference Equations, 2019
In this paper, we expanded our computation to obtain a simpler and detailed reduction and normal form of a delayed reaction–diffusion differential system with Bogdanov–Takens (B–T) singularity.
Longyue Li, Jianzhi Cao, Yingying Mei
doaj   +1 more source