Results 91 to 100 of about 84,144,549 (259)

The scanning normal form of linear dynamical systems with variable coefficients

Mathematical and Computer Modelling, 1990
Consider the system \(\dot x=A(t)x,\quad x\in {\mathbb{R}}^ n.\) In the neighbourhood of some \(\tau_ 0\) this system can be written as \(\dot x=(A(\tau_ 0)+\epsilon \gamma (\tau_ 0,\tau))x.\) A change of variables is found in order to give this system the form \(\dot y=B(\tau_ 0,\tau,\epsilon)y,\) where only certain items of B depend on \(\tau\). This
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

In vitro and in silico modelling of ROS1‐positive non‐small cell lung cancer reveals fusion‐dependent tyrosine kinase inhibitor responses

Molecular Oncology, EarlyView.
Drug resistance limits treatment success in a subset of lung cancers driven by ROS1 gene alterations. Using patient‐derived cells and computer simulations, we studied three key mutations and how they affect five targeted drugs. The mutations reduced drug effectiveness in different ways by altering protein structure and behavior.
Farhan Ul Haq, Marc Terrones, Felicia Rodrigues Fortes, Anne Schepers, Alessia Denis, Christophe Deben, Ken Op de Beeck, Guy Van Camp, Geert Vandeweyer   +8 more
wiley   +1 more source

Cancer‐associated mutations in endometriosis reframe a benign disease through molecular oncology

Molecular Oncology, EarlyView.
This review aims to comprehensively analyse cancer‐associated somatic mutations (CAMs) present in endometriotic lesions, emphasizing their biological roles, spatial distribution and implications for translational applications in medicine. By contextualizing a benign state within a genomic framework, this analysis seeks to establish its value as a ...
Clarissa Mujacic, Maria Concetta Vitale, Rita Siino, Emilia Di Giovanni, Carla Ferrante Bannera, Enrico Di Marco, Andrea Gottardo, Tancredi Didier Bazan Russo, Nadia Barraco, Alessandro Perez, Valerio Gristina, Antonio Galvano, Giuseppe Badalamenti, Antonio Russo, Viviana Bazan, Lorena Incorvaia   +15 more
wiley   +1 more source

Preoperative circulating tumor cells integrated with imaging analysis for prognostic evaluation in head and neck squamous cell carcinoma

Molecular Oncology, EarlyView.
Detecting circulating tumor cells (CTCs) in blood before surgery may help predict outcomes in patients with head and neck squamous cell carcinoma (HNSCC). Here, we show when combined with tumor size and lymph node involvement from routine imaging, CTC status identifies high‐risk patients with poorer survival—offering a simple, minimally invasive tool ...
Susanne Flach, Gizem Abaci, Tom Huberty, Axel Lechner, Lukas Käsmann, Jens Ricke, Sophia Stöcklein, Martin Canis, Philipp Baumeister, Marianna Alunni‐Fabbroni   +9 more
wiley   +1 more source

Applications of dynamical systems with symmetry [PDF]

This thesis examines the application of symmetric dynamical systems theory to two areas in applied mathematics: weakly coupled oscillators with symmetry, and bifurcations in flame front equations.
Ashwin, Peter Brian
core  

Advances in Dynamical Systems and Control

This reprint compiles frontier research in dynamical systems and control, both in theoretical and application advancements. The study of dynamical systems and control is fundamental to promoting progress in engineering, and in this reprint, the topics of

core   +1 more source

A Closed Form Solution for the Normal Form and Zero Dynamics of a Class of Nonlinear Systems

, 2018
The normal form and zero dynamics are powerful tools useful in analysis and control of both linear and nonlinear systems. There are no simple closed form solutions to the general zero dynamics problem for nonlinear systems. A few algorithms exist for determining the zero dynamics, but none is straightforward and all are difficult to apply to large ...
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Kowalevskaya exponents and normal forms of planar dynamical systems. Application to integrability problem

Communications in Contemporary Mathematics
In this work, dynamical properties of the solutions of differential systems in the plane are provided using certain constants related with the Kowalevskaya exponents. An orbital normal form that allows to study the existence of analytic and non-analytic first integrals is given.
Antonio Algaba, Cristóbal García, Manuel Reyes, Jaume Giné   +3 more
openaire   +2 more sources

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