Results 71 to 80 of about 11,838,591 (211)

On strongly ?-e-continuous functions

, 2010
A new class of generalized open sets in a topological space, called e-open sets, is introduced and some properties are obtained by Ekici [6]. This class is contained in the class of ?-semi-preopen (or ?-ß-open) sets and weaker than both ?-semiopen sets ...
Gulhan Aslim, Murad Ozkoc, Ozkoc, Murad, Aslim G., Özkoç M., Aslim, Gulhan   +5 more
core   +1 more source

Translating whole‐genome doubling into precision medicine in cancer

Molecular 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

Nabla Fractional Distributed Nash Seeking for Non-Cooperative Games

Fractal and Fractional
This paper pioneers the introduction of nabla fractional calculus into distributed Nash equilibrium (NE) seeking for non-cooperative games (NGs), proposing several novel discrete-time fractional-order algorithms.
Yao Xiao, Sunming Ge, Yihao Qiao, Tieqiang Gang, Lijie Chen   +4 more
doaj   +1 more source

Implicit Iterative Scheme for a Countable Family of Nonexpansive Mappings in 2-Uniformly Smooth Banach Spaces

Abstract and Applied Analysis, 2013
Implicit Mann process and Halpern-type iteration have been extensively studied by many others. In this paper, in order to find a common fixed point of a countable family of nonexpansive mappings in the framework of Banach spaces, we propose a new ...
Ming Tian, Xin Jin
doaj   +1 more source

Subordination Principle for a Class of Fractional Order Differential Equations

Mathematics, 2015
The fractional order differential equation \(u'(t)=Au(t)+\gamma D_t^{\alpha} Au(t)+f(t), \ t>0\), \(u(0)=a\in X\) is studied, where \(A\) is an operator generating a strongly continuous one-parameter semigroup on a Banach space \(X\), \(D_t^{\alpha}\)
Emilia Bazhlekova
doaj   +1 more source

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

Molecular 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

An exponential continuous time GARCH process [PDF]

, 2006
In this paper we introduce an exponential continuous time GARCH(p,q) process. It is defined in such a way that it is a continuous time extension of the discrete time EGARCH(p,q) process. We investigate stationarity and moment properties of the new model.
Haug, Stephan, Stephan Haug, Claudia Czado, Czado, Claudia   +3 more
core   +1 more source

Local solutions for a hyperbolic equation

Electronic Journal of Qualitative Theory of Differential Equations, 2015
Let $\Omega$ be an open bounded set of $\mathbb{R}^n$ with its boundary $\Gamma$ constituted of two disjoint parts $\Gamma_0$ and $\Gamma_1$ with $\overline{\Gamma}_0 \cap \overline{\Gamma}_1=\emptyset.$ This paper deals with the existence of local ...
Aldo Trajano Lourêdo, Haroldo Rodrigues Clark, Manuel Milla Miranda, Marcondes Rodrigues Clark   +3 more
doaj   +1 more source

Spatial biology in cancer epigenetics

Molecular 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

Contrast with the Hille-Yosida's Theorem and the Strongly Continuous Semigroup of Contraction for a Third-order Differential Operator

European Journal of Applied Sciences
In this work, we prove that the closed right half-plane is contained in the resolvent set of odd-order differential operator A and that the norm of the resolvent operator of A on z with positive real part is bounded by the inverse of the real part of z, which connects us to the Hille-Yosida’s Theorem.
openaire   +1 more source