Results 121 to 130 of about 3,674,543 (358)

Numerical treatment of the fractional Rayleigh-Stokes problem using some orthogonal combinations of Chebyshev polynomials

AIMS Mathematics
This work aims to provide a new Galerkin algorithm for solving the fractional Rayleigh-Stokes equation (FRSE). We select the basis functions for the Galerkin technique to be appropriate orthogonal combinations of the second kind of Chebyshev polynomials (
Waleed Mohamed Abd-Elhameed, Ahad M. Al-Sady , Omar Mazen Alqubori, Ahmed Gamal Atta   +3 more
doaj   +1 more source

THE OPTIMAL PRINCIPLE OF BELLMAN IN THE PROBLEM OF OPTIMAL MEANS DISTRIBUTION BETWEEN ENTERPRISES FOR THE EXPANSION OF PRODUCTION

Вестник университета, 2019
The method of dynamic programming has been considered, which is used in solving multiple problems in economics, on the example of using Bellman’s optimality principle for solving nonlinear programming problems.
A. Tarasenko, I. Egorova
doaj   +1 more source

A recurrence relation for the square root

Journal of Approximation Theory, 1973
AbstractThe behavior of the sequence xn + 1 = xn(3N − xn2)2N is studied for N > 0 and varying real x0. When 0 < x0 < (3N)12 the sequence converges quadratically to N12. When x0 > (5N)12 the sequence oscillates infinitely. There is an increasing sequence βr, with β−1 = (3N)12 which converges to (5N)12 and is such that when βr < x0 < βr + 1 the sequence {
John Todd, W.G Hwang
openaire   +2 more sources

Comprehensive omics‐based classification system in adult patients with B‐cell acute lymphoblastic leukemia

Molecular Oncology, EarlyView.
The COMBAT classification system, developed through multi‐omics integration, stratifies adult patients with B‐cell acute lymphoblastic leukemia(B‐ALL) into three molecular subtypes with distinct surface antigen patterns, immune landscape, methylation patterns, biological pathways and prognosis.
Yang Song, Ting Liu, Qishan Hao, Qiuyun Fang, Xiaoyuan Gong, Yan Li, Zheng Tian, Hui Wei, Min Wang, Jianxiang Wang, Tao Cheng, Yingchang Mi   +11 more
wiley   +1 more source

Circulating tumor DNA monitoring and blood tumor mutational burden in patients with metastatic solid tumors treated with atezolizumab

Molecular Oncology, EarlyView.
In patients treated with atezolizumab as a part of the MyPathway (NCT02091141) trial, pre‐treatment ctDNA tumor fraction at high levels was associated with poor outcomes (radiographic response, progression‐free survival, and overall survival) but better sensitivity for blood tumor mutational burden (bTMB).
Charles Swanton, Russell W. Madison, Candice Francheska B. Tambaoan, Funda Meric‐Bernstam, Christopher J. Sweeney, Razelle Kurzrock, Howard A. Burris III, David R. Spigel, Hanna Tukachinsky, Jason Hughes, Julia Malato, Bongin Yoo, Tania Szado, Cheryl Schwab, Lincoln W. Pasquina, Amaya Gasco, Katja Schulze, Claire F. Friedman   +17 more
wiley   +1 more source

Molecular imaging predicts trastuzumab‐deruxtecan (T‐DXd) response in head and neck cancer xenograft models

Molecular Oncology, EarlyView.
Trastuzumab‐deruxtecan, a HER2‐targeting antibody‐drug conjugate, shows promising antitumor activity in head and neck squamous cell carcinoma with low HER2 expression. In vitro and in vivo studies demonstrated dose‐dependent cell death and tumor growth reduction in low HER2‐expressing cell lines, which correlated with drug accumulation measured using a
Abdullah Bin Naveed, Lucas Mani, Muhammad Bilal Mirza, Ashtyn McAdoo, Takahito Kondo, Hidenori Tanaka, Nicole Meeks, Eben Rosenthal, Marisa Hom   +8 more
wiley   +1 more source

Sequences of twice-iterated Δw-Gould–Hopper Appell polynomials

Journal of Taibah University for Science
In this paper, we introduce general sequence of twice-iterated [Formula: see text]-(degenerate) Gould–Hopper Appell polynomials (TI-DGHAP) via discrete [Formula: see text]-Gould–Hopper Appell convolution. We obtain some of their characteristic properties
Neslihan Biricik, Bayram Çekim, Mehmet Ali Özarslan   +2 more
doaj   +1 more source

Recurrence relations for the super-Halley method

Computers & Mathematics with Applications, 1998
In this paper we give sufficient conditions in order to assure the convergence of the super-Halley method in Banach spaces. We use a system of recurrence relations analogous to those given in the classical Newton-Kantorovich theorem, or those given for Chebyshev and Halley methods by different authors. © 1998 Elsevier Science Ltd. All rights reserved.
Gutiérrez, J.M., Hernández, M.A.
openaire   +3 more sources

Loss of primary cilia promotes EphA2‐mediated endothelial‐to‐mesenchymal transition in the ovarian tumor microenvironment

Molecular Oncology, EarlyView.
Loss of primary cilia in endothelial cells promotes EndMT and vascular abnormalities in the ovarian tumor microenvironment through EphA2 activation. Using human samples, in vitro models, and endothelial‐specific Kif3a‐knockout mice, we show that primary cilia loss drives the acquisition of cancer‐associated fibroblast‐like phenotypes, thereby ...
Jin Gu Cho, Yubin Hah, Eunsik Yun, Hye In Ka, Aram Lee, Sora Han, Dawn Lee, Sung Wook Kim, Jong Hoon Park, Byung Su Kwon, Young Yang, Jongmin Kim   +11 more
wiley   +1 more source

An Orthogonal Polynomial Solution to the Confluent-Type Heun’s Differential Equation

Mathematics
In this work, we present both analytical and numerical solutions to a seven-parameter confluent Heun-type differential equation. This second-order linear differential equation features three singularities: two regular singularities and one irregular ...
Saiful R. Mondal, Varun Kumar
doaj   +1 more source