Results 31 to 40 of about 21,141 (257)

The numerical solution of the nonlinear hyperbolic-parabolic heat equation

Discrete and Continuous Models and Applied Computational Science
The article discusses a mathematical model and a finite-difference scheme for the heating process of an infinite plate. The disadvantages of using the classical parabolic heat equation for this case and the rationale for using the hyperbolic heat ...
Vladislav N. Khankhasaev, Safron A. Bairov   +1 more
doaj   +1 more source

Singular solitons in the pseudo-parabolic model arising in nonlinear surface waves

Results in Physics, 2019
This manuscript aims to construct a family of travelling wave solutions to the high nonlinearity differential equation for obtaining new hyperbolic function solutions by using an analytical method, which is based on the exponential function.
Onur Alp Ilhan, Alaattin Esen, Hasan Bulut, Haci Mehmet Baskonus   +3 more
doaj   +1 more source

Comprehensive Assessment of Arterial, Tissue, and Venous Collaterals for Evaluating the Infarct Growth Rate: The Multimodal Collateral Score

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Collaterals are crucial factors that influence the infarct growth rate (IGR). We aimed to determine whether a comprehensive multimodal collateral score (MCS), incorporating collateral assessment at the arterial, tissue, and venous levels, is associated with functional independence and provides incremental prognostic value over ...
Giorgio Busto, Umberto Pensato, Ilaria Casetta, Giorgio U. Marcello, Angelo Barra, Anna Poggesi, Edoardo Carlesi, Sara Mancini, Andrea Ginestroni, Vittorio Miele, Alessandro Padovani, Andrea Morotti, Enrico Fainardi   +12 more
wiley   +1 more source

Baseline Neuroinflammation Stratifies TSPO‐PET Response to Disease‐Modifying Therapy in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To investigate which baseline clinical and imaging characteristics best predict TSPO‐PET‐measurable reduction in glial activation following treatment of multiple sclerosis (MS), to utilize this information for designing more efficient biomarker‐based clinical trials targeting glial activation.
Marlene T. Morch, Markus Matilainen, Giulia N. Baldrighi, Marjo Nylund, Maija Saraste, Laura Airas   +5 more
wiley   +1 more source

The Boundary Value Problem with Stationary Inhomogeneities for a Hyperbolic-Type Equation with a Fractional Derivative

Axioms, 2022
The paper presents an analytical solution of a partial differential equation of hyperbolic-type, containing both second-order partial derivatives and fractional derivatives of order below the second.
Ludmila Vladimirovna Kirianova
doaj   +1 more source

Differential Item Functioning on the Patient Health Questionnaire 8 by Disease Subtype, Language, Sex, and Age Among People With Systemic Sclerosis: A Scleroderma Patient‐Centered Intervention Network Cohort Study

Arthritis Care &Research, EarlyView.
Objective Somatic items used in depression assessments can potentially overlap with symptoms related to physical illness, including systemic sclerosis (SSc). No studies have looked at whether somatic depression items may be influenced by diffuse versus limited SSc disease subtypes, which are associated with varying degrees of symptom presentation.
Sophie Hu, Marie‐Eve Carrier, Marie‐Claude Geoffroy, Meira Golberg, Linda Kwakkenbos, Susan J. Bartlett, Catherine Fortuné, Amy Gietzen, Karen Gottesman, Geneviève Guillot, Laura K. Hummers, Amanda Lawrie‐Jones, Vanessa L. Malcarne, Michelle Richard, Maureen Sauvé, Luc Mouthon, Andrea Benedetti, Brett D. Thombs, on behalf of the SPIN Investigators, Claire E. Adams, Marie Hudson, Maureen D. Mayes, James Stempel, Robyn K. Wojeck, Christian Agard, Laurent Alric, Marc André, Floryan Beaslay, Elana J. Bernstein, Sabine Berthier, Lyne Bissonnette, Sophie Blaise, Eva Bories, Alessandra Bruns, Carlotta Cacciatore, Patricia Carreira, Marion Casadevall, Benjamin Chaigne, Lorinda Chung, Benjamin Crichi, Thylbert Deltombe, Christopher P. Denton, Tannvir Desroche, Robyn Domsic, James V. Dunne, Bertrand Dunogue, Regina Fare, Dominique Farge‐Bancel, Paul R. Fortin, Tracy Frech, Loraine Gauzère, Anne Gerber, Jessica K. Gordon, Brigitte Granel‐Rey, Aurélien Guffroy, Geneviève Gyger, Eric Hachulla, Daphna Harel, Monique Hinchcliff, Sabrina Hoa, Michael Hugues, Alena Ikic, Sindhu R. Johnson, Nader Khalidi, Kimberly S. Lakin, Marc Lambert, Maggie Larche, David Launay, Yvonne C. Lee, Paul Legendre, Catarina Leite, Hélène Maillard, Nancy Maltez, Joanne Manning, Isabelle Marie, Maria Martin Lopez, Thierry Martin, Ariel Masetto, Arsène Mekinian, Sheila Melchor Díaz, Morgane Mourguet, Christelle Nguyen, Karen Nielsen, Mandana Nikpour, Louis Olagne, Vincent Poindron, Janet Pope, Susanna Proudman, Grégory Pugnet, Loïc Raffray, François Rannou, Alexis Régent, Frederic Renou, Sébastien Rivière, David Robinson, Esther Rodríguez Almazar, Tatiana Sofia Rodríguez‐Reyna, Sophie Roux, Perrine Smets, Vincent Sobanski, Robert F. Spiera, Virginia Steen, Evelyn Sutton, Carter Thorne, Damien Vagner, John Varga, Pearce Wilcox, Vanessa Cook, Cassidy Dal Santo, Monica D'Onofrio, Elsa‐Lynn Nassar   +110 more
wiley   +1 more source

A Note on the Second Order of Accuracy Stable Difference Schemes for the Nonlocal Boundary Value Hyperbolic Problem

Abstract and Applied Analysis, 2012
The second order of accuracy absolutely stable difference schemes are presented for the nonlocal boundary value hyperbolic problem for the differential equations in a Hilbert space H with the self-adjoint positive definite operator A.
Allaberen Ashyralyev, Ozgur Yildirim
doaj   +1 more source

Minimal Important Change and Minimal Clinically Important Difference in Pain and Function With Exercise in Hip Osteoarthritis

Arthritis Care &Research, EarlyView.
Objective The objective of this study was to estimate the minimal important change (MIC) and minimal clinically important difference (MCID) for pain and physical function in individuals with hip osteoarthritis (OA) following a physiotherapist‐guided exercise intervention.
Yareni Guerrero, Fiona Dobson, Venkatesha Venkatesha, Kim Allison, Gabrielle Knox, Libby Spiers, Travis Haber, David J Hunter, Michelle Hall   +8 more
wiley   +1 more source

A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations

Advances in Difference Equations, 2017
In this paper, we propose a new three-level implicit method based on a half-step spline in compression method of order two in time and order four in space for the solution of one-space dimensional quasi-linear hyperbolic partial differential equation of ...
RK Mohanty, Gunjan Khurana
doaj   +1 more source

High Health Care Utilization Preceding Diagnosis With Juvenile Idiopathic Arthritis

Arthritis Care &Research, EarlyView.
Objective Although early diagnosis improves long‐term outcomes, patients with juvenile idiopathic arthritis (JIA) often experience prolonged, circuitous paths to diagnosis. To inform diagnostic improvement, we sought to characterize health care utilization in the year preceding diagnosis. Methods We identified 10,021 patients with an incident diagnosis
Anna Costello, Rui Xiao, Xuemei Zhang, Jahan Jazayeri, Irit R. Rasooly, Pamela F. Weiss   +5 more
wiley   +1 more source