Estimates for nonlinear parabolic equations.
Summary: We study smooth non-negative solutions of the equation \(u_t=\partial_j a_j(u,\nabla u)+a_0(u,\Delta u)\) in the strip \(S_T= \mathbb{R}^d\times (0,T)\), \(d\geq 1\). A regularizing effect, pointwise estimates and gradient estimates are obtained.
Fabricant, A., Marinov, M., Rangelov, T.
openaire +2 more sources
Generalized single-index models: The EFM approach [PDF]
Generalized single-index models are natural extensions of linear models and circumvent the so-called curse of dimensionality. They are becoming increasingly popular in many scientific fields including biostatistics, medicine, economics and finan- cial ...
Lixing Zhu +2 more
core
Real‐World Performance of CSF Kappa Free Light Chains in the 2024 McDonald Criteria
ABSTRACT Objective Kappa free light chains (KFLCs) in the cerebrospinal fluid (CSF) have a similar performance to CSF‐restricted oligoclonal bands (OCB) for multiple sclerosis (MS) diagnosis. To help with implementation, we set out to resolve several remaining uncertainties: (1) performance in a real‐world cohort and the 2024 McDonald criteria; (2 ...
Maya M. Leibowitz +11 more
wiley +1 more source
Renal function estimating equations performance during pregnancy and postpartum. [PDF]
Zaghloul DE +5 more
europepmc +1 more source
Whole‐Body Pattern of Muscle Degeneration and Progression in Sarcoglycanopathies
ABSTRACT Objective To characterize whole‐body intramuscular fat distribution pattern in patients with sarcoglycanopathies and explore correlations with disease severity, duration and age at onset. Methods Retrospective, cross‐sectional, multicentric study enrolling patients with variants in one of the four sarcoglycan genes who underwent whole‐body ...
Laura Costa‐Comellas +39 more
wiley +1 more source
ABSTRACT Objective To investigate the value of constructing models based on habitat radiomics and pathomics for predicting the risk of progression in high‐grade gliomas. Methods This study conducted a retrospective analysis of preoperative magnetic resonance (MR) images and pathological sections from 72 patients diagnosed with high‐grade gliomas (52 ...
Yuchen Zhu +14 more
wiley +1 more source
Iterative methods for nonlinear equations in a coupled system: Using modified homotopy perturbation
Nonlinear equations arise in various branches of applied sciences where the real-world problems cannot be formulated accurately in linear forms. It is a fascinating and thrilling task to develop numerical methods for estimating the roots of nonlinear ...
Muhammad Saqib +5 more
doaj +1 more source
The R Package geepack for Generalized Estimating Equations [PDF]
This paper describes the core features of the R package geepack, which implements the generalized estimating equations (GEE) approach for fitting marginal generalized linear models to clustered data.
Jun Yan +2 more
core +1 more source
Effects of Biological Sex and Age on Cerebrospinal Fluid Markers—A Retrospective Observational Study
ABSTRACT Objective Cerebrospinal fluid (CSF) analysis is a key diagnostic tool for neurological diseases. To date, only a few studies have investigated in larger cohorts the effect of age and biological sex on diagnostic markers extracted from CSF. Methods For this retrospective observational study, 4163 CSF findings (2012–2020) were evaluated.
Isabel‐Sophie Hafer +3 more
wiley +1 more source
EXPLORING ALTERNATIVES FOR ESTIMATING SYSTEMS OF EQUATIONS WITH MULTIPLE CENSORED VARIABLES: FARM OUTPUT SUPPLY AND INPUT DEMAND [PDF]
This paper explores two alternatives for estimating systems of equations with multiple censored variables: Maximum Simulated Likelihood and a two-step technique that seems to be well suited for large samples.
Arias, Carlos, Perali, Carlo Federico
core +1 more source

