Results 71 to 80 of about 5,943,505 (321)

Network divergence analysis identifies adaptive gene modules and two orthogonal vulnerability axes in pancreatic cancer

Molecular Oncology, EarlyView.
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson, Lyanne Delgado‐Coka, Natalia Marchenko, Luisa F. Escobar‐Hoyos, Kenneth R. Shroyer, Alisa Yurovsky, Trey Ideker, Gabor Balázsi, Thomas MacCarthy, Scott Powers   +9 more
wiley   +1 more source

Ekeland’s variational principle for interval-valued functions with an α-level set in Kaleva-Seikkala’s type fuzzy metric spaces

Demonstratio Mathematica
In this paper, we establish a new version of Ekeland’s variational principle in the setting of Kaleva-Seikkala’s type fuzzy metric spaces, where the objective function is an interval-valued function defined on a fuzzy metric space, and the perturbation ...
Liu Xuan, He Fei, Lu Ning
doaj   +1 more source

Maximum Caliber: a general variational principle for dynamical systems [PDF]

, 2017
We review here {\it Maximum Caliber} (Max Cal), a general variational principle for inferring distributions of paths in dynamical processes and networks.
P. Dixit, Jason A. Wagoner, Corey Weistuch, S. Press'e, K. Ghosh, K. Dill   +5 more
semanticscholar   +1 more source

From Rate Distortion Theory to Metric Mean Dimension: Variational Principle [PDF]

IEEE Transactions on Information Theory, 2017
The purpose of this paper is to point out a new connection between information theory and dynamical systems. In the information theory side, we consider rate distortion theory, which studies lossy data compression of stochastic processes under distortion
E. Lindenstrauss, M. Tsukamoto
semanticscholar   +1 more source

Proof of the Variational Principle for a Pair Hamiltonian Boson Model

, 2006
We give a two parameter variational formula for the grand-canonical pressure of the Pair Boson Hamiltonian model.
Pulé, Joseph V., Zagrebnov, Valentin
core   +3 more sources

Pre‐analytical optimization of cell‐free DNA and extracellular vesicle‐derived DNA for mutation detection in liquid biopsies

Molecular Oncology, EarlyView.
Pre‐analytical handling critically determines liquid biopsy performance. This study defines practical best‐practice conditions for cell‐free DNA (cfDNA) and extracellular vesicle–derived DNA (evDNA), showing how processing time, storage conditions, tube type, and plasma input volume affect DNA integrity and mutation detection.
Jonas Dohmen, Lucrezia De Santis, Bret M. Stephens, Vincent Bernard, Jörg C. Kalff, Lara Braun, Phillipp Leyendecker, Johannes Röttgen, Daniel Weissinger, Anirban Maitra, Paola A. Guerrero, Alexander Semaan   +11 more
wiley   +1 more source

T-entropy and Variational principle for the spectral radius of weighted shift operators

, 2008
In this paper we introduce a new functional invariant of discrete time dynamical systems -- the so-called t-entropy. The main result is that this t-entropy is the Legendre dual functional to the logarithm of the spectral radius of the weighted shift ...
Antonevich, Antonevich, Antonevich, V. I. BAKHTIN   +3 more
core   +1 more source

Somatic mutational landscape in von Hippel–Lindau familial hemangioblastoma

Molecular Oncology, EarlyView.
The causes of central nervous system (CNS) hemangioblastoma in Von Hippel–Lindau (vHL) disease are unclear. We used Whole Exome Sequencing (WES) on familial hemangioblastoma to investigate events that underlie tumor development. Our findings suggest that VHL loss creates a permissive environment for tumor formation, while additional alterations ...
Maja Dembic, Anne Nørremølle, Lilian Bomme Ousager, Lars van Brakel Andersen, Marie Louise Mølgaard Binderup, Mads Thomassen   +5 more
wiley   +1 more source

Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like Inequalities

Journal of Inequalities and Applications, 2009
We introduce and study a class of generalized strongly nonlinear mixed variational-like inequalities, which includes several classes of variational inequalities and variational-like inequalities as special cases.
Zeqing Liu, Lin Chen, Jeong Sheok Ume, Shin Min Kang   +3 more
doaj   +2 more sources

Some Aspects of Extended General Variational Inequalities

Abstract and Applied Analysis, 2012
Noor (“Extended general variational inequalities,” 2009, “Auxiliary principle technique for extended general variational inequalities,” 2008, “Sensitivity analysis of extended general variational inequalities,” 2009, “Projection iterative methods for ...
Muhammad Aslam Noor
doaj   +1 more source