Results 61 to 70 of about 12,514,312 (273)

The Relationship Between Semiclassical Laguerre Polynomials and the Fourth Painlevé Equation [PDF]

, 2013
We discuss the relationship between the recurrence coefficients of orthogonal polynomials with respect to a semiclassical Laguerre weight and classical solutions of the fourth Painlevé equation. We show that the coefficients in these recurrence relations
Clarkson, Peter, Jordaan, Kerstin, Clarkson, P.A., Jordaan, Kerstin Heidrun   +3 more
core   +1 more source

A Two‐Stage Plasma Biomarker Algorithm Reduces Amyloid PET Use and the p‐Tau217 Gray Zone

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Plasma p‐Tau217 leaves 30%–50% of patients in an indeterminate “gray zone” often requiring Aβ‐PET. We developed GRAD (Gatekeeper‐Reflex for Alzheimer's Disease), a two‐stage Aβ‐positivity prediction model to improve classification while reserving Aβ‐PET for residual uncertainty.
Harthik Parankusham, Casey Vanderlip, Colin Birkenbihl, Eashwar Krishna, Chizobam Ugboaja, Andrew E. Budson, Brandon Frank, for the Alzheimer's Disease Neuroimaging Initiative   +7 more
wiley   +1 more source

A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation

Abstract and Applied Analysis, 2015
The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly ...
Wenyuan Liao
doaj   +1 more source

Health Care Use Among Patients Presenting to Emergency Department for Gout Flares in Ontario, Canada: A Population‐Based Health Systems Analysis

Arthritis Care &Research, EarlyView.
Objective We characterized emergency department (ED) gout visits and identified patient characteristics and health services patterns contributing to ED presentations. Methods We conducted a population‐based study of ED gout visits in Ontario, Canada, between 2014 and 2023.
Timothy S. H. Kwok, Samantha Morais, William K. Silverstein, Clare L. Atzema, Gregory Choy, Priyanka Chandratre, Ping Li, Jessica Widdifield   +7 more
wiley   +1 more source

Sharp oscillation theorem for fourth-order linear delay differential equations

Journal of Inequalities and Applications, 2022
In this paper, we present a single-condition sharp criterion for the oscillation of the fourth-order linear delay differential equation x ( 4 ) ( t ) + p ( t ) x ( τ ( t ) ) = 0 $$ x^{(4)}(t) + p(t)x\bigl(\tau (t)\bigr) = 0 $$ by employing a novel method
Irena Jadlovská, Jozef Džurina, John R. Graef, Said R. Grace   +3 more
doaj   +1 more source

Immunosuppressive Drug Use in Limited Systemic Sclerosis: An International Survey

Arthritis Care &Research, EarlyView.
Objective Current guidelines recommend immunosuppressive treatment for diffuse cutaneous systemic sclerosis but are less clear on their use in limited cutaneous systemic sclerosis (lcSSc) in the absence of internal organ complications. We conducted an international survey to understand current immunosuppressive drug prescribing patterns in lcSSc ...
Sabrina Hoa, Yicheng Mu, Marie Hudson, Janet Pope   +3 more
wiley   +1 more source

A comparison between the fourth order linear differential equation with its boundary value problem

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
In this paper, we study a fourth order linear differential equation. We found an upper bound for the solutions of this differential equation and also, we prove that all the solutions are in L4(0, ∞).
Karwan H.F. Jwamer, Rando R. Q. Rasul
doaj   +1 more source

Impact of Six‐Month Monitoring Compared to Three‐Month Monitoring of Laboratories During Methotrexate Therapy

Arthritis Care &Research, EarlyView.
Objective To evaluate whether extending the American College of Rheumatology–recommended monitoring interval for complete blood count and liver function tests in patients receiving methotrexate (MTX) affects timely detection of medication‐related toxicity.
Spencer Simko, Ray Zhang, Sohini Mukherjee, Puneet Bajaj, Bonnie L. Bermas   +4 more
wiley   +1 more source

Oscillation of fourth order sub-linear differential equations

Applied Mathematics Letters, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miroslav Bartusek, Zuzana Doslá
openaire   +3 more sources

Unsupervised Machine Learning Identifies Shared Biomechanical and Clinical Variation in Individuals with Knee Osteoarthritis and High Body Mass Index

Arthritis Care &Research, EarlyView.
Objective High body mass index (BMI ≥ 27 kg/m2) and aberrant gait biomechanics are primary risk factors for knee osteoarthritis (KOA), yet the specific loading patterns linked to clinical disease features remain unclear. Unsupervised machine learning (ML) was used to identify vertical ground reaction force (vGRF) waveform modes of variation and ...
Ashley N. Buck, J. Elyse Borgert, Hyeon Lee, Liubov Arbeeva, Yvonne M. Golightly, Richard F. Loeser, Leigh F. Callahan, Stephen P. Messier, Brian Pietrosimone, Amanda E. Nelson, James S. Marron   +10 more
wiley   +1 more source