Results 71 to 80 of about 634,419 (341)

Weak Solutions for a Simple Hyperbolic System [PDF]

Electronic Journal of Probability, 2001
The model studied concerns a simple first-order hyperbolic system. The solutions in which one is most interested have discontinuities which persist for all time, and therefore need to be interpreted as weak solutions. We demonstrate existence and uniqueness for such weak solutions, identifying a canonical ` exact' solution which is everywhere defined ...
Lyne, Owen, Williams, David
openaire   +3 more sources

Targeted metabolomics reveals novel diagnostic biomarkers for colorectal cancer

Molecular Oncology, EarlyView.
This study employed targeted metabolomic profiling to identify 302 distinct metabolites present in platelet‐rich plasma (PRP), revealing aberrant metabolic profiles amongst individuals diagnosed with colorectal cancer (CRC). Compared to carcinoembryonic antigen (CEA) and cancer antigen 19‐9 (CA199), our metabolite panel showed improved sensitivity ...
Zuojian Hu, Fenglin Shen, Yang Liu, Ziqing Zhong, Yongling Chen, Zhiyuan Xia, Cuiju Mo, Hongxiu Yu   +7 more
wiley   +1 more source

Harmonizing results of ataxia rating scales: mFARS, SARA, and ICARS

Annals of Clinical and Translational Neurology, Volume 9, Issue 12, Page 2041-2046, December 2022., 2022
Abstract The ever‐increasing body of ataxia research provides opportunities for large‐scale meta‐analyses, systematic reviews, and data aggregation. Because multiple standardized scales are used to quantify ataxia severity, harmonization of these measures is necessary for quantitative data pooling. We applied the modified Friedreich Ataxia Rating Scale
Christian Rummey, Ian H. Harding, Martin B. Delatycki, Geneieve Tai, Thiago Rezende, Louise A. Corben   +5 more
wiley   +1 more source

Weak solutions for diffusion-convection equations

Applied Mathematics Letters, 2000
AbstractWeak solutions to diffusion-convection equations with less regular convective field and boundary data are shown to exist as limits of solutions to problems with mixed boundary conditions.
Fang, Weifu, Ito, Kazufumi
openaire   +2 more sources

Weak Solutions of the Porous Medium Equation [PDF]

Transactions of the American Mathematical Society, 1993
We show that if u ≥ 0 u \geq 0 , u ∈ L loc m ( Ω ) u \in L_{{\text {loc}}}^m(\Omega ) , Ω ⊂ R
Björn E. J. Dahlberg, Carlos E. Kenig
openaire   +2 more sources

Cell‐free DNA aneuploidy score as a dynamic early response marker in prostate cancer

Molecular Oncology, EarlyView.
mFast‐SeqS‐based genome‐wide aneuploidy scores are concordant with aneuploidy scores obtained by whole genome sequencing from tumor tissue and can predict response to ARSI treatment at baseline and, at an early time point, to ARSI and taxanes. This assay can be easily performed at low cost and requires little input of cfDNA. Cell‐free circulating tumor
Khrystany T. Isebia, Anouk C. de Jong, Lisanne F. van Dessel, Vanja de Weerd, Corine Beaufort, Jean Helmijr, José Alberto Nakauma‐González, Job van Riet, Paul Hamberg, Daniel Vis, Michiel S. van der Heijden, Nick Beije, Martijn P. Lolkema, Teoman Deger, Saskia M. Wilting, Ronald de Wit, Maurice P. H. M. Jansen, John W. M. Martens   +17 more
wiley   +1 more source

The clinical spectrum of SMA‐PME and in vitro normalization of its cellular ceramide profile

Annals of Clinical and Translational Neurology, Volume 9, Issue 12, Page 1941-1952, December 2022., 2022
Abstract Objective The objectives of this study were to define the clinical and biochemical spectrum of spinal muscular atrophy with progressive myoclonic epilepsy (SMA‐PME) and to determine if aberrant cellular ceramide accumulation could be normalized by enzyme replacement.
Michelle M. Lee, Graeme S. V. McDowell, Darryl C. De Vivo, Daniel Friedman, Samuel F. Berkovic, Maria Spanou, Argirios Dinopoulos, Katheryn Grand, Pedro A. Sanchez‐Lara, Michelle Allen‐Sharpley, Jodi Warman‐Chardon, Alexander Solyom, Thierry Levade, Edward H. Schuchman, Steffany A. L. Bennett, David A. Dyment, Toni S. Pearson   +16 more
wiley   +1 more source

Weak-strong uniqueness of hydrodynamic flow of nematic liquid crystals

Electronic Journal of Differential Equations, 2012
This article concerns a simplified model for a hydrodynamic system of incompressible nematic liquid crystal materials. It is shown that the weak-strong uniqueness holds for the class of weak solutions provided that either $(mathbf{u}, ablamathbf{d ...
Ji-hong Zhao, Qiao Liu
doaj  

Clinical significance of stratifying prostate cancer patients through specific circulating genes

Molecular Oncology, EarlyView.
We tested a specific panel of genes representative of luminal, neuroendocrine and stem‐like cells in the blood of prostate cancer patients, showing predictive value from diagnosis to late stages of disease. This approach allows monitoring of treatment responses and outcomes at specific time points in trajectories.
Seta Derderian, Edouard Jarry, Arynne Santos, Quentin Vesval, Lucie Hamel, Rafael Sanchez‐Salas, Alexis Rompré‐Brodeur, Wassim Kassouf, Raghu Rajan, Fadi Brimo, Marie Duclos, Armen Aprikian, Simone Chevalier   +12 more
wiley   +1 more source

COVID‐19 and the risk of Alzheimer's disease, amyotrophic lateral sclerosis, and multiple sclerosis

Annals of Clinical and Translational Neurology, Volume 9, Issue 12, Page 1953-1961, December 2022., 2022
Abstract Background The coronavirus disease 2019 (COVID‐19) pandemic has had an unprecedented impact on the healthcare system, economy, and society. Studies have reported that COVID‐19 may cause various neurologic symptoms, including cognitive impairment.
Hanyu Zhang, Zengyuan Zhou
wiley   +1 more source