Results 41 to 50 of about 51,103 (185)

Symbolic Software for the Painleve Test of Nonlinear Ordinary and Partial Differential Equations

, 2006
The automation of the traditional Painleve test in Mathematica is discussed. The package PainleveTest.m allows for the testing of polynomial systems of ordinary and partial differential equations which may be parameterized by arbitrary functions (or ...
Ablowitz M J, Clarkson P A, Conte R, Conte R, Fordy A P, Goriely A, Hereman W, Hirota R, Ince E L, Jimbo M, Johnson R S, Kruskal M D, Lamb G L, McLeod J B, Newell A C, Osgood W F, Painlevé P, Pickering A, Ramani A, Rand D W, Renner F, Scheen C, Tan Y, Ward R S, Weiss J, Weiss J, Xu G Q, Xu G Q, Xu G Q, Yoshida H, Ziglin S L, Ziglin S L, Ziglin S L   +32 more
core   +1 more source

Cilostazol in patients with heart failure and preserved ejection fraction—The CLIP‐HFpEF trial

ESC Heart Failure, Volume 12, Issue 2, Page 1437-1446, April 2025.
• Cilostazol is an oral PDE‐3 inhibitor that may have advantageous effects in heart failure with preserved ejection fraction (HFpEF). • Cilostazol significantly improved short‐term heart failure‐related health status scores (KCCQ‐12) and NT‐proBNP levels when compared to placebo.
Norman Aiad, Jeanne du Fay de Lavallaz, Michael J. Zhang, Thanat Chaikijurajai, Bo Ye, Prabhjot S. Nijjar, Julie A. Lahiri, Cindy M. Martin, Tamas Alexy, Markus Meyer   +9 more
wiley   +1 more source

Precision therapies for genetic epilepsies in 2025: Promises and pitfalls

Epilepsia Open, EarlyView.
Abstract By targeting the underlying etiology, precision therapies offer an exciting paradigm shift to improve the stagnant outcomes of drug‐resistant epilepsies, including developmental and epileptic encephalopathies. Unlike conventional antiseizure medications (ASMs) which only treat the symptoms (seizures) but have no effect on the underlying ...
Shuyu Wang, Emilio Perucca, Samuel F. Berkovic, Piero Perucca   +3 more
wiley   +1 more source

Efficient Gluing of Numerical Continuation and a Multiple Solution Method for Elliptic PDEs

, 2014
Numerical continuation calculations for ordinary differential equations (ODEs) are, by now, an established tool for bifurcation analysis in dynamical systems theory as well as across almost all natural and engineering sciences. Although several excellent
Kuehn, Christian
core   +1 more source

Stability Evaluation and Parametric Optimization of Coal‐Concrete Composite Bearing Systems Under Mine‐Water‐Induced Deterioration: Experiments and FEINN Analysis

Energy Science &Engineering, EarlyView.
Mine‐water immersion tests reveal pronounced coal weakening (vs. minor concrete degradation), identifying coal pillars as the stability‐limiting component in composite dams. A coupled FEINN framework quantifies extreme‐pressure stability and ranks multi‐parameter designs via a normalized multi‐indicator scheme, enabling optimized dam configuration for ...
He Wen, Hongchuan Dai, Guixin Zhang, Pengzhe Li, Tong Yang, Cang Gong, Renbo Gao   +6 more
wiley   +1 more source

External optimal control of fractional parabolic PDEs

, 2019
In this paper we introduce a new notion of optimal control, or source identification in inverse, problems with fractional parabolic PDEs as constraints. This new notion allows a source/control placement outside the domain where the PDE is fulfilled.
Antil, Harbir, Verma, Deepanshu, Warma, Mahamadi   +2 more
core   +1 more source

Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid

International Journal for Numerical Methods in Fluids, EarlyView.
This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
wiley   +1 more source

Intraoperative Molecular Imaging Can Detect Large Nerve Perineural Invasion: A Case Report

Head &Neck, EarlyView.
ABSTRACT Background Perineural invasion (PNI) in head and neck squamous cell carcinoma (SCC) results in worse overall survival. Diagnosis requires resection and microscopic evaluation. Methods A 63‐year‐old male with persistent cT4aN0 p16‐positive SCC of the left base of tongue following chemoradiotherapy underwent salvage total glossectomy ...
Carleigh R. Burns, Aviva S. Mattingly, Kim Ely, Andreja Radevic, Nicole Meeks, Sydea Maria Ahmad Zaidi, Brandee Brown, Georgii Vasiukov, Michael Topf, Eben Rosenthal   +9 more
wiley   +1 more source

Mapping the Global Clinical Landscape of Pharmacological Therapies for Heart Failure With Preserved Ejection Fraction: An Analysis Based on ClinicalTrials.gov (2003–2025)

iMetaMed, EarlyView.
This study analyzed 236 heart failure with preserved ejection fraction (HFpEF) pharmacological trials registered on ClinicalTrials.gov from 2003 to 2025, revealing a post‐2016 surge (76.3%), U.S. dominance (58.5%), and prominence of SGLT2 inhibitors/novel therapies (each 13.1%).
Yucheng Hou, Jingwei Zhao, Yuqian Tang, Tan Liu, Zhiao Zhang, Ziheng Wang, Han Shen   +6 more
wiley   +1 more source

Dimension of the solutions space of PDEs [PDF]

, 2006
We discuss the dimensional characterization of the solutions space of a formally integrable system of partial differential equations and provide certain formulas for calculations of these dimensional quantities.Comment: Contribution to the conference ...
Kruglikov, Boris, Lychagin, Valentin
core   +2 more sources