Results 81 to 90 of about 64,085 (304)

Computing dynamics of copper-based SMA via center manifold reduction of 3D models

, 2000
In this work, we present a reduction procedure for 3D models describing phase transformations in copper-based shape memory alloys (SMAs) and develop a robust numerical algorithm for the computational analysis of thin single-crystal slabs of these alloys.
Thomas, K. A., Roberts, A. J., Melnik, R. V. N.   +2 more
core  

The semistable-center-unstable manifold near a critical element

, 1984
In applications of the Internal Model Principle of control theory to nonlinear differential systems, a semistable-center-unstable invariant manifold plays an important role.
Hepburn, J.S.A, Wonham, W.M
core   +1 more source

Longitudinal genome‐wide aneuploidy measurements in circulating cell‐free DNA to predict lack of benefit from pembrolizumab in patients with metastatic urothelial cancer

Molecular Oncology, EarlyView.
Many patients with urothelial cancer do not benefit from treatment with pembrolizumab, while at risk of severe side effects. Changes in the levels of circulating tumor DNA early during treatment, measured by a simple and affordable assay that can be easily implemented in the clinic, can be used as a prognostic tool to identify these patients.
Youssra Salhi, Stavros Makrodimitris, Sandra van Wilpe, Iris te Paske, Vanja de Weerd, Corine M. Beaufort, Hans M. Westgeest, Jens Voortman, Maureen J. B. Aarts, Maud Rijnders, Astrid A. M. van der Veldt, Ronald de Wit, Niven Mehra, Saskia M. Wilting, Debbie G. J. Robbrecht   +14 more
wiley   +1 more source

On the Significance of Center Manifold Reduction: Data-Driven Dynamics at a Hopf Bifurcation [PDF]

, 2023
The Hartman-Grobman theorem has significance in extending a local linearization to global dynamics given the existence of a hyperbolic equilibrium point.
Bennett, Justin Klark
core   +1 more source

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

Tumor B‐cell infiltration in platinum‐treated advanced muscle‐invasive urothelial carcinoma

Molecular Oncology, EarlyView.
Bladder tumors with higher pretreatment memory B‐cell infiltration were linked to longer survival after cisplatin chemotherapy, but not carboplatin. These tumors also showed more organized immune structures (tertiary lymphoid structures) and a shared pro‐inflammatory B‐cell‐rich community, suggesting that memory B cells may help identify patients most ...
Konrad Stawiski, Júlia Perera‐Bel, Alejo Rodriguez‐Vida, Nuria Juanpere, Jihyun Lee, Daniel E. Michaud, Jennifer L. Guerriero, Kent W. Mouw, Aristotelis Bamias, Filipe L. F. Carvalho, Joaquim Bellmunt   +10 more
wiley   +1 more source

Synchronized Hopf Bifurcation Analysis in a Delay-Coupled Semiconductor Lasers System

Journal of Applied Mathematics, 2012
The dynamics of a system of two semiconductor lasers, which are delay coupled via a passive relay within the synchronization manifold, are investigated.
Gang Zhu, Junjie Wei
doaj   +1 more source

An algorithm for symbolic computation of center manifolds [PDF]

, 1989
A useful technique for the study of local bifurcations is the center manifold theory because a dimensional reduction is achieved. The computation of Taylor series approximations of center manifolds gives rise to several difficulties regarding the operational complexity and the computational effort.
Emilio Freire, Estanislao Gamero, Enrique Ponce, Leopoldo García Franquelo   +3 more
openaire   +2 more sources

The Center Manifold

, 2007
After receiving a UM forestry degree in 1955, Al Kelley earned a doctoral degree in mathematics at the University of California, Berkeley in 1963. He joined the mathematics department at UC-Santa Cruz in 1966.
Kelley, Al
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