Results 31 to 40 of about 102,332 (240)

A comparison theorem for the isoperimetric profile under curve shortening flow

, 2011
We prove a comparison theorem for the isoperimetric profiles of simple closed curves evolving by the normalized curve shortening flow: If the isoperimetric profile of the region enclosed by the initial curve is greater than that of some `model' convex ...
Andrews, Ben, Bryan, Paul
core   +1 more source

Identifying gene expression signatures for risk stratification of postoperative adjuvant chemotherapy in colorectal cancer

FEBS Open Bio, EarlyView.
A novel signature integrating genome‐wide analysis with clinical factors predicts recurrence in stage II colorectal cancer and enables a new risk stratification to guide postoperative adjuvant chemotherapy. Clinical risk stratification for postoperative recurrence in patients with pathological stage II (pStage II) colorectal cancer (CRC) is essential ...
Mayuko Otomo, Keisuke Okuno, Shuichi Watanabe, Sakiko Oba, Hiroyasu Kagawa, Masanori Tokunaga, Daisuke Ban, Yusuke Kinugasa   +7 more
wiley   +1 more source

Vestibular Patient Journey: Insights From Vestibular Disorders Association (VeDA) Registry

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Vestibular symptoms impose a high burden of disability. Understanding real‐world diagnostic and treatment pathways can identify care gaps and guide interventions. We aimed to characterize symptom profiles, diagnostic trends, provider involvement, and treatment patterns in vestibular disorders.
Ali Rafati, Sami I. Nassar, Shaun A. Nguyen, Patricia L. Gerend, Michael C. Schubert, Michael T. Teixido, Frederick A. Godley, Joel A. Goebel, Cynthia A. Ryan, Habib G. Rizk, Amir Kheradmand   +10 more
wiley   +1 more source

Iterated logarithms and gradient flows

, 2018
We consider applications of the theory of balanced weight filtrations and iterated logarithms, initiated in arXiv:1706.01073, to PDEs. The main result is a complete description of the asymptotics of the Yang--Mills flow on the space of metrics on a ...
Haiden, Fabian, Katzarkov, Ludmil, Kontsevich, Maxim, Pandit, Pranav   +3 more
core   +1 more source

[18F]Fluorodeprenyl‐D2 PET as a Tool to Monitor Disease Activity in GAD65‐Ab Autoimmune Encephalitis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To evaluate [18F]fluorodeprenyl‐D2 ([18F]F‐DED) positron‐emission tomography (PET) imaging as a biomarker of disease activity in autoimmune encephalitis (AIE) associated with glutamic acid decarboxylase 65 (GAD65) antibodies. Methods [18F]F‐DED PET was performed in 25 GAD65‐AIE patients and 8 controls using dynamic (0–60 min) and ...
Julia S. Dorneich, Jonathan A. Gernert, Hanna Zimmermann, Lisa Tagnin, Marianthi Zeinaki, Laura Sanzo, Letizia Vogler, Elisabeth Kaufmann, Justina Dargvainiene, Frank Leypoldt, Gérard N. Bischof, Robert Perneczky, Boris‐Stephan Rauchmann, Simon Lindner, Günter U. Höglinger, Rudolf A. Werner, Martin Kerschensteiner, Tania Kümpfel, Matthias Brendel, Franziska S. Thaler   +19 more
wiley   +1 more source

Non-uniqueness of curve shortening flow

, 2022
We formulate a uniqueness conjecture for curve shortening flow of proper curves on certain symmetric surfaces and give an example of a non-flat metric on the plane with respect to which curve shortening flow is not unique. That is, with respect to a suitably chosen metric, we construct a non-static solution to curve shortening flow starting from a ...
openaire   +2 more sources

Estimates for the ergodic measure and polynomial stability of plane stochastic curve shortening flow

, 2010
We establish moment estimates for the invariant measure of a stochastic partial differential equation describing motion by mean curvature flow in (1+1) dimension, leading to polynomial stability of the associated Markov semigroup.
A. Es-Sarhir, Abdelhadi Es-Sarhir, C. Prévôt, F. Andreu, G. Da Prato, Max-K. von Renesse, V. Barbu, W. Stannat, Wilhelm Stannat   +8 more
core   +1 more source

A Systematic Comparison of Alpha‐Synuclein Seed Amplification Assays for Increasing Reproducibility

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Seed amplification assays (SAAs) enable ultrasensitive detection of misfolded α‐synuclein across biofluids and tissues. Yet, heterogeneity in protocols limits cross‐study comparability and clinical translation. Here, we review α‐synuclein SAA methods and their performance across various biological matrices.
Manuela Amaral‐do‐Nascimento, Daniela F. Santos, Tuane C. R. G. Vieira, Tiago F. Outeiro   +3 more
wiley   +1 more source

Three-component contour dynamics model to simulate and analyze amoeboid cell motility in two dimensions.

PLoS ONE
Amoeboid cell motility is relevant in a wide variety of biomedical processes such as wound healing, cancer metastasis, and embryonic morphogenesis. It is characterized by pronounced changes of the cell shape associated with expansions and retractions of ...
Daniel Schindler, Ted Moldenhawer, Carsten Beta, Wilhelm Huisinga, Matthias Holschneider   +4 more
doaj   +1 more source

Is Young's Modulus a Critical Coating Property Determining Fouling‐Release Performance of Marine Coatings?

Advanced Engineering Materials, EarlyView.
The release of foulers from protective marine coatings is determined by several interrelated material properties, including the strength of Young's modulus, the flexibility of chain segments, the surface free energy, and the magnitude of hydrodynamic stress.
Johann C. Schaal, Andreas Brinkmann, Andreas Hartwig   +2 more
wiley   +1 more source