Results 61 to 70 of about 1,407,788 (320)

The McCance Brain Care Score and Mortality: Evidence From a Large‐Scale Population‐Based Cohort

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives This study aimed to examine the relationship between the McCance Brain Care Score (BCS) and mortality in the general population. Methods We conducted a prospective, population‐based cohort study using data from the UK Biobank. Participants with complete data enabling calculation of BCS and full mortality information were included ...
Zhiqiang Xu, Xiaoxiao Wang, Nan Li
wiley   +1 more source

When Nonlinear Differential Equations are Equivalent to Linear Differential Equations [PDF]

SIAM Journal on Applied Mathematics, 1982
A necessary and sufficient condition is established for the existence of a 1-1 transformation of a system of nonlinear differential equations to a system of linear equations. The obtained theorems enable one to construct such transformations from the invariance groups of differential equations.
Kumei, Sukeyuki, Bluman, George W.
openaire   +2 more sources

Sarilumab in Polyarticular‐Course Juvenile Idiopathic Arthritis: Dose‐Finding and 1‐Year Analysis of a Phase 2b, Open‐Label, Multicenter Study

Arthritis Care &Research, EarlyView.
Objective This study assessed sarilumab in treating patients with polyarticular‐course juvenile idiopathic arthritis (pcJIA). Methods This phase 2b, open‐label study (NCT02776735) consisted of three sequential parts (each with a core‐treatment and extension phase).
Fabrizio De Benedetti, Inmaculada C. Penadés, Irina Nikishina, Ivan Foeldvari, Alberto J. Spindler, Anna Kozlova, Nadina Rubio‐Pérez, Pierre Quartier, Zbigniew Żuber, Raul Barria, Daniel Clemente, Gabriel V. Cornejo, Katherine Marzan, Nancy Liu, Christine Xu, Stephen DiMartino, Angeliki Giannelou, Fei Cao‐Ghoul, Bolanle Akinlade, Lydie Baret‐Cormel   +19 more
wiley   +1 more source

A geometric setting for systems of ordinary differential equations

, 2010
To a system of second order ordinary differential equations (SODE) one can assign a canonical nonlinear connection that describes the geometry of the system.
Bucataru, Ioan, Constantinescu, Oana, Dahl, Matias F.   +2 more
core   +1 more source

Use of a Molecular Signature Response Classifier to Inform Treatment Selection Improves Clinical Disease Activity Among Patients with Rheumatoid Arthritis Initiating a Biologic or Targeted Synthetic Disease‐Modifying Antirheumatic Drug

Arthritis Care &Research, EarlyView.
Objective We assessed the effectiveness of PrismRA to improve clinical outcomes among patients with rheumatoid arthritis (RA) initiating treatment with a biologic or targeted synthetic disease‐modifying antirheumatic drug (b/tsDMARD). Methods PrismRA incorporated 19 gene expression features and four clinical features to assess a patient's likelihood of
Fenglong Xie, Timothy Beukelman, Nicholas P. McCormick, Jeffrey R. Curtis   +3 more
wiley   +1 more source

Piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanics

MATEC Web of Conferences, 2018
This paper presents a nonlinear differential equations system piecewise continuous approximation. The piecewise continuous approximation improves piecewise linear approximation through reducing the errors at the boundaries of different linear ...
Leibov Roman
doaj   +1 more source

Fuzzy Differential Equations for Nonlinear System Modeling With Bernstein Neural Networks

IEEE Access, 2016
With the fuzzy set theory, the uncertainty of nonlinear systems can be modeled using fuzzy differential equations. The solutions of these equations are the model output, but they are very difficult to obtain.
Raheleh Jafari, Wen Yu, Xiaoou Li
doaj   +1 more source

Differential Harnack inequalities for nonlinear heat equations with potentials under the Ricci flow

, 2012
We prove several differential Harnack inequalities for positive solutions to nonlinear backward heat equations with different potentials coupled with the Ricci flow.
Aronson, Cheng, Chow, Chow, Chow, Chow, Chow, Chung, Hamilton, Hamilton, Hamilton, Hsu, Jia-Yong Wu, Ni, Yau, Yau   +15 more
core   +1 more source

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source

Existence Results for Solutions of Nonlinear Fractional Differential Equations

Abstract and Applied Analysis, 2012
This paper deals with theoretical and constructive existence results for solutions of nonlinear fractional differential equations using the method of upper and lower solutions which generate a closed set.
Ali Yakar, Mehmet Emir Koksal
doaj   +1 more source