Results 41 to 50 of about 45,664 (293)

Analysis of attractor distances in Random Boolean Networks

, 2010
We study the properties of the distance between attractors in Random Boolean Networks, a prominent model of genetic regulatory networks. We define three distance measures, upon which attractor distance matrices are constructed and their main statistic ...
Benedettini, Stefano, Roli, Andrea, Serra, Roberto, Villani, Marco   +3 more
core   +1 more source

A large‐scale retrospective study in metastatic breast cancer patients using circulating tumour DNA and machine learning to predict treatment outcome and progression‐free survival

Molecular Oncology, EarlyView.
There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes, Mario Ortega Duran, Solon Karapanagiotis, Alistair Martin, Meiling Gao, Riccardo Masina, Ramona Woitek, James Tanner, Fleur Tippin, Justine Kane, Jonathan Lay, Anja Brouwer, Stephen‐John Sammut, Suet‐Feung Chin, Davina Gale, Dana W. Y. Tsui, Sarah‐Jane Dawson, Nitzan Rosenfeld, Maurizio Callari, Oscar M. Rueda, Carlos Caldas   +20 more
wiley   +1 more source

Characterizing the salivary RNA landscape to identify potential diagnostic, prognostic, and follow‐up biomarkers for breast cancer

Molecular Oncology, EarlyView.
This study explores salivary RNA for breast cancer (BC) diagnosis, prognosis, and follow‐up. High‐throughput RNA sequencing identified distinct salivary RNA signatures, including novel transcripts, that differentiate BC from healthy controls, characterize histological and molecular subtypes, and indicate lymph node involvement.
Nicholas Rajan, Irina Primac, Emre Etlioglu, Laurens Debruyne, Ann Janssen, Magy Sallam, Kevin Tabury, Roel Quintens, Wiebren Tjalma, Mohammed Abderrafi Benotmane   +9 more
wiley   +1 more source

Random Attractors for Stochastic Three-Component Reversible Gray-Scott System with Multiplicative White Noise

Journal of Applied Mathematics, 2012
The paper is devoted to proving the existence of a compact random attractor for the random dynamical system generated by stochastic three-component reversible Gray-Scott system with multiplicative white noise.
Anhui Gu
doaj   +1 more source

Dynamics of stochastic 3D Brinkman-Forchheimer equations on unbounded domains

Electronic Research Archive, 2023
This paper is concerned with the asymptotic behavior of the stochastic three dimensional Brinkman-Forchheimer equations in some unbounded domains. We first define a continuous random dynamical system for the equations. Then by J.
Shu Wang, Mengmeng Si , Rong Yang
doaj   +1 more source

The random case of Conley's theorem: III. Random semiflow case and Morse decomposition

, 2007
In the first part of this paper, we generalize the results of the author \cite{Liu,Liu2} from the random flow case to the random semiflow case, i.e. we obtain Conley decomposition theorem for infinite dimensional random dynamical systems.
Arnold L, Arnold L, Caraballo T, Caraballo T Langa J A, Castaing C, Conley C, Crauel H, Crauel H, Flandoli F, Franks J, Hale J K, Henry D, Hurley M, Keller H Ochs G, Liu Z, Liu Z, Liu Z, Liu Z Ji S Su M, Ochs G, Rudin W, Rybakowski K P, Schenk-Hoppé K R, Schmalfuss B Reitmann V, Temam R, Wang W Duan J, Zhenxin Liu   +25 more
core   +2 more sources

Spin-Glass Attractor on Tridimensional Hierarchical Lattices in the Presence of an External Magnetic Field [PDF]

, 2009
A nearest-neighbor-interaction Ising spin glass, in the presence of an external magnetic field, is studied on different hierarchical lattices that approach the cubic lattice.
A. J. Bray, E. Marinari, Fernando D. Nobre, H. Nishimori, K. H. Fischer, Octavio R. Salmon, V. Dotsenko   +6 more
core   +1 more source

Tumor‐agnostic detection of circulating tumor DNA in patients with advanced pancreatic cancer using targeted DNA methylation sequencing and cell‐free DNA fragmentomics

Molecular Oncology, EarlyView.
We evaluated circulating tumor DNA (ctDNA) detection in advanced pancreatic cancer using DNA methylation, cell‐free DNA fragment lengths, and 5′ end motifs. Machine learning models were trained to estimate ctDNA levels from each feature and their combination.
Morten Lapin, Kjersti Tjensvoll, Karin Hestnes Edland, Satu Oltedal, Herish Garresori, Bjørnar Gilje, Saga Ekedal, Trygve Eftestøl, Jan Terje Kvaløy, Filip Janku, Oddmund Nordgård   +10 more
wiley   +1 more source

Random Attractors for Stochastic Three-Component Reversible Gray-Scott System on Infinite Lattices

Discrete Dynamics in Nature and Society, 2012
We prove the existence of a compact random attractor for the random dynamical system generated by stochastic three-component reversible Gray-Scott system with a multiplicative white noise on infinite lattices.
Anhui Gu, Zhaojuan Wang, Shengfan Zhou
doaj   +1 more source

Random uniform exponential attractors for non-autonomous stochastic Schrödinger lattice systems in weighted space

AIMS Mathematics, 2023
We mainly study the existence of random uniform exponential attractors for non-autonomous stochastic Schrödinger lattice system with multiplicative white noise and quasi-periodic forces in weighted spaces.
Rou Lin, Min Zhao, Jinlu Zhang
doaj   +1 more source