Results 131 to 140 of about 1,083,140 (374)

A partial factorization of the powersum formula

International Journal of Mathematics and Mathematical Sciences, 2004
For any univariate polynomial P whose coefficients lie in an ordinary differential field 𝔽 of characteristic zero, and for any constant indeterminate α, there exists a nonunique nonzero linear ordinary differential operator ℜ of finite order such that ...
John Michael Nahay
doaj   +1 more source

Computing the resolvent of composite operators [PDF]

Cubo (Temuco), 2014
Summary: Based in a very recent paper by \textit{C. A. Micchelli} et al. [Adv. Comput. Math. 38, No. 2, 401--426 (2013; Zbl 1275.65014)], we present an algorithmic approach for computing the resolvent of composite operators: the composition of a monotone operator and a continuous linear mapping.
openaire   +5 more sources

Recurrent cancer‐associated ERBB4 mutations are transforming and confer resistance to targeted therapies

Molecular Oncology, EarlyView.
We show that the majority of the 18 analyzed recurrent cancer‐associated ERBB4 mutations are transforming. The most potent mutations are activating, co‐operate with other ERBB receptors, and are sensitive to pan‐ERBB inhibitors. Activating ERBB4 mutations also promote therapy resistance in EGFR‐mutant lung cancer.
Veera K. Ojala, Sini Ahonen, Sara Peltola, Aura Tuohisto‐Kokko, Olaya Esparta, Peppi Suominen, Anne Jokilammi, Iman Farahani, Deepankar Chakroborty, Nikol Dibus, Steffen Boettcher, Tomi T. Airenne, Mark S. Johnson, Lisa D. Eli, Klaus Elenius, Kari J. Kurppa   +15 more
wiley   +1 more source

Hill's equation for a homogeneous tree

Electronic Journal of Differential Equations, 1997
The analysis of Hill's operator $-D^2 + q(x)$ for $q$ even and periodic is extended from the real line to homogeneous trees ${cal T}$. Generalizing the classical problem, a detailed analysis of Hill's equation and its related operator theory on $L^2({cal
Robert Carlson
doaj  

New Discussion on Approximate Controllability for Semilinear Fractional Evolution Systems with Finite Delay Effects in Banach Spaces via Differentiable Resolvent Operators [PDF]

, 2022
Daliang Zhao, Yongyang Liu
openalex   +1 more source

Dammarenediol II enhances etoposide‐induced apoptosis by targeting O‐GlcNAc transferase and Akt/GSK3β/mTOR signaling in liver cancer

Molecular Oncology, EarlyView.
Etoposide induces DNA damage, activating p53‐dependent apoptosis via caspase‐3/7, which cleaves PARP1. Dammarenediol II enhances this apoptotic pathway by suppressing O‐GlcNAc transferase activity, further decreasing O‐GlcNAcylation. The reduction in O‐GlcNAc levels boosts p53‐driven apoptosis and influences the Akt/GSK3β/mTOR signaling pathway ...
Jaehoon Lee, Byung‐Cheol Han, Gi‐Bang Koo, Jihye Park, Mijin Kwon, Young Bin Park, Jae‐Mun Choi, Seung‐Ho Lee, Sangho Roh   +8 more
wiley   +1 more source

Regularity of mild solutions to fractional Cauchy problems with Riemann-Liouville fractional derivative

Electronic Journal of Differential Equations, 2014
As an extension of the fact that a sectorial operator can determine an analytic semigroup, we first show that a sectorial operator can determine a real analytic alpha-order fractional resolvent which is defined in terms of Mittag-Leffler function and ...
Ya-Ning Li, Hong-Rui Sun
doaj  

The Classical Geometry of Chaotic Green Functions and Wigner Functions

Physics
Semiclassical (SC) approximations for various representations of a quantum state are constructed on a single (Lagrangian) surface in the phase space but such surface is not available for chaotic systems.
Alfredo M. Ozorio de Almeida
doaj   +1 more source

Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment

Molecular Oncology, EarlyView.
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley   +1 more source

Microfluidic electro‐viscoelastic manipulation of extracellular vesicles

FEBS Open Bio, EarlyView.
The electro‐viscoelastic manipulation as a potential method for separation of particles based on size. The particles introduced as a sheath flow migrate to the channel center under the influence of simultaneously applied electric field and pressure driven flow.
Seyedamirhosein Abdorahimzadeh, Éva Bozó, Zikrullah Bölükkaya, Artem Zhyvolozhnyi, Anatoliy Samoylenko, Henrikki Liimatainen, Seppo J. Vainio, Caglar Elbuken   +7 more
wiley   +1 more source