Results 61 to 70 of about 31,456 (262)

Error Analysis in Numerical Algorithms

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2017
   In this paper, we applied the concept of the error analysis using the linearization method and new condition numbers constituting optimal bounds in appraisals of the possible errors.
Shawki. A. Abbas
doaj  

From tumor‐centric to ecosystem‐based hypotheses in brain tumor research and care

open access: yesMolecular Oncology, EarlyView.
Primary brain tumors, whether in adults or children, present a major challenge because of their dramatic prognosis and the ongoing lack of efficient therapeutic approaches. In recent years, a shift has occurred from tumor‐centric concepts to a more holistic view of these tumors as dynamic ecosystems.
Julie Gavard   +8 more
wiley   +1 more source

Some Studies of Terrestrial Impact Cratering Rate

open access: yesOpen Astronomy, 2011
In 1984, a 28.4 Myr periodicity was detected in the ages of terrestrial impact craters and a 26 Myr periodicity in the epochs of mass extinctions of species.
Jetsu L.
doaj   +1 more source

Exact arithmetic as a tool for convergence assessment of the IRM-CG method

open access: yesHeliyon, 2020
Using exact computer arithmetic, it is possible to determine the (exact) solution of a numerical model without any rounding error. For such purposes, a corresponding system of equations should be exactly defined, either directly or by rationalising the ...
Josip Dvornik   +3 more
doaj   +1 more source

Translating whole‐genome doubling into precision medicine in cancer

open access: yesMolecular Oncology, EarlyView.
Whole‐genome doubling creates a WGD‐positive tumor state characterized by persistent chromosomal instability, karyotypic diversification, and cellular stress. These same biological pressures drive aggressive tumor evolution while exposing therapeutic vulnerabilities, providing a rationale for WGD‐informed precision medicine. Whole‐genome doubling (WGD)
Sejung Lee, Junghyeok Lim, Jinhyuk Bhin
wiley   +1 more source

Single‐cell DNA methylation profiling: Technologies, computation, and applications in precision oncology

open access: yesMolecular Oncology, EarlyView.
Single‐cell DNA methylation (scDNAme) profiling maps epimutational clonal evolution, revealing mechanisms of malignancy and therapeutic resistance across diverse cancer types. By providing a high‐resolution landscape of intratumoral heterogeneity, these technologies empower precise patient stratification, guide the development of enhanced ...
Ik Soo Kim
wiley   +1 more source

Clock Math — a System for Solving SLEs Exactly

open access: yesActa Polytechnica, 2013
In this paper, we present a GPU-accelerated hybrid system that solves ill-conditioned systems of linear equations exactly. Exactly means without rounding errors due to using integer arithmetics. First, we scale floating-point numbers up to integers, then
Jakub Hladík   +2 more
doaj  

Revisiting LWR: A Novel Reduction Through Quantum Approximations

open access: yesIET Information Security
Pseudorandom functions (PRFs) are a very important tool in cryptography, and the learning with rounding (LWR) problem is one of the main issues in their construction.
Zhuang Shan, Leyou Zhang, Qiqi Lai
doaj   +1 more source

Spatial biology in cancer epigenetics

open access: yesMolecular Oncology, EarlyView.
Spatial epigenomics combines molecular profiling with tissue architecture to reveal how gene regulation is organized within intact tissues. In cancer, these technologies uncover the mechanisms driving tumor heterogeneity and microenvironmental interactions, opening new opportunities for biomarker discovery and precision medicine.
Eva Crespo‐García, Manel Esteller
wiley   +1 more source

Error Analysis and Model Adaptivity for Flows in Gas Networks

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In the simulation and optimization of natural gas flow in a pipeline network, a hierarchy of models is used that employs different formulations of the Euler equations. While the optimization is performed on piecewise linear models, the flow simulation is
Stolwijk Jeroen J., Mehrmann Volker
doaj   +1 more source

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