Results 81 to 90 of about 2,566,738 (350)

Hip morphology‐based osteoarthritis risk prediction models: development and external validation using individual participant data from the World COACH Consortium

Arthritis Care &Research, Accepted Article.
Objectives This study aims to develop hip morphology‐based radiographic hip osteoarthritis (RHOA) risk prediction models and investigates the added predictive value of hip morphology measurements and the generalizability to different populations. Methods We combined data from nine prospective cohort studies participating in the World COACH consortium ...
Myrthe A. van den Berg, Fleur Boel, Michiel M.A. van Buuren, Noortje S. Riedstra, Jinchi Tang, Harbeer Ahedi, Nigel K. Arden, Sita M.A. Bierma‐Zeinstra, Cindy G. Boer, Flavia M. Cicuttini, Timothy F. Cootes, David T. Felson, Willem Paul Gielis, Joshua Heerey, Graeme Jones, Stefan Kluzek, Nancy E. Lane, Claudia Lindner, Joyce B.J. van Meurs, Andrea Mosler, Amanda E. Nelson, Michael C. Nevitt, Edwin H. Oei, Jos Runhaar, Harrie Weinans, Jesse H. Krijthe, Rintje Agricola   +26 more
wiley   +1 more source

Convolutions with probability densities and applications to PDEs

Electronic Journal of Differential Equations, 2017
In this article we introduce several new convolution operators, generated by some known probability densities. By using the inverse Fourier transform and taking inverse steps (in the analogues of the classical procedures used for example in the heat ...
Sorin G. Gal
doaj  

Identifying High‐Impact Solutions to Address Racial and Ethnic Health Disparities in Lupus: A Consensus‐Based Approach

Arthritis Care &Research, Accepted Article.
Objective We conducted formative research aimed at identifying solutions that address inequitable health outcomes in lupus due to adverse social determinants of health. Methods We conducted a search for keywords which provided insights into potential solutions and initiatives underway. An advisory panel of lupus experts iteratively reviewed the list of
Joy Buie, Michael P. Fisher, Kristen Backor, Hannah Tyldsley, Ashira Blazer, Candace Feldman, Andrea Knight, S. Sam Lim, Barbara Ann Polk, Ed Yelin, Edith Williams, Karen H. Costenbader   +11 more
wiley   +1 more source

A Singular Initial-Value Problem for Second-Order Differential Equations

Abstract and Applied Analysis, 2014
We are interested in the existence of solutions to initial-value problems for second-order nonlinear singular differential equations. We show that the existence of a solution can be explained in terms of a more simple initial-value problem.
Afgan Aslanov
doaj   +1 more source

On theoretical upper limits for valid timesteps of implicit ODE methods

AIMS Mathematics, 2019
Implicit methods for the numerical solution of initial-value problems may admit multiple solutions at any given time step. Accordingly, their nonlinear solvers may converge to any of these solutions.
Kevin R. Green, George W. Patrick, Raymond J. Spiteri   +2 more
doaj   +1 more source

Stiffness in numerical initial-value problems

Journal of Computational and Applied Mathematics, 1996
This paper reviews various aspects of stiffness and attempts to give a clear definition of this concept. It is shown by a number of examples and analysis that classical results derived without taking stiffness into account can be relevant for certain nonlinear stiff problems but inappropriate for others.
openaire   +2 more sources

Recent Modifications of Adomian Decomposition Method for Initial Value Problem in Ordinary Differential Equations

, 2012
In this paper, some modifications of Adomian decomposition method are presented for solving initial value problems in ordinary differential equations. Also, the restarted and two-step methods are applied to the problem.
M. Almazmumy, F. A. Hendi, H. Bakodah, H. Alzumi   +3 more
semanticscholar   +1 more source

Considerations for Issues of Regression to the Mean and Contextual Effects in Clinical Trials for Pain in Rheumatic Diseases

Arthritis Care &Research, Accepted Article.
Recently, there has been growing discussion about how to best assess pain in clinical trials in rheumatic diseases. Reliable measurement of pain outcomes is essential for accurately determining the effectiveness of treatments. While pain intensity is the most common measure of change in pain trials, other pain‐related measures, such as pain ...
Yen T. Chen, Guohao Zhu, Afton L. Hassett, Daniel Clauw, Susan L. Murphy   +4 more
wiley   +1 more source

Initial boundary value problem for a system in elastodynamics with viscosity

Electronic Journal of Differential Equations, 2005
In this paper we prove existence of global solutions to boundary-value problems for two systems with a small viscosity coefficient and derive estimates uniform in the viscosity parameter. We do not assume any smallness conditions on the data.
Kayyunnapara Thomas Joseph
doaj  

A Two-Dimensional Nonlocal Fractional Parabolic Initial Boundary Value Problem

Axioms
In this paper, we investigate a two-dimensional singular fractional-order parabolic partial differential equation in the Caputo sense. The partial differential equation is supplemented with Dirichlet and weighted integral boundary conditions.
Said Mesloub, Eman Alhazzani, Hassan Eltayeb Gadain   +2 more
doaj   +1 more source