Results 91 to 100 of about 4,634,933 (288)

A convergence theory for probabilistic metric spaces

, 2016
We develop a theory of probabilistic convergence spaces based on Tardiff’s neighbourhood systems for probabilistic metric spaces. We show that the resulting category is a topological universe and we characterize a subcategory that is isomorphic to the ...
Jäger, G
core  

Diabetes‐Associated Cognitive Impairment: Pathophysiology and Emerging Therapies

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Diabetes‐associated cognitive impairment (DACI) is a common yet underrecognized condition, manifesting along a spectrum from mild cognitive impairment to dementia. DACI encompasses patients who develop vascular dementia (VaD) or Alzheimer's disease (AD) with diabetes as a risk factor; however, in certain patients, particularly those lacking ...
Osman Corbali, Priyanka Menon, Halil I. Corbali, Ram Jagannathan, Allan I. Levey   +4 more
wiley   +1 more source

Stage‐Dependent β‐Synuclein Links MRI and Cognitive Decline in Alzheimer's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Synaptic degeneration drives cognitive decline in Alzheimer's disease (AD), but synaptic biomarkers are scarce. Brain‐enriched β‐synuclein emerged as a synaptic damage marker. We investigated its diagnostic, prognostic, and structural correlates across the AD continuum.
Ulaş Ay, Merve Alaylioglu, Erdi Sahin, Sanem Sultan Yoruk Oner, Gulce Iskan, Gulce Cosku Yilmaz Cakan, Gozde Kizilates‐Evin, Emre Hari, Elif Kurt, Erdinc Dursun, Basar Bilgic, Hasmet Hanagasi, Hakan Gurvit, Tamer Demiralp, Duygu Gezen‐Ak, Bedia Samanci   +15 more
wiley   +1 more source

ON PROBABILISTIC (\epsilon,\lambda)-LOCAL CONTRACTION MAPPINGS AND A SYSTEM OF INTEGRAL EQUATIONS

, 2021
In this paper, we consider the concept of probabilistic $(\epsilon,\lambda)$-local contraction which is a generalization of probabilistic contraction of Sehgal type, and the concept of probabilistic G-metric space, which is a generalization of the Menger
Soleimani Rad, Ghasem, Lotfali Ghasab, Ehsan, Majani, Hamid   +2 more
core   +1 more source

Anti‐CD20 Discontinuation Versus Continuation in People Aged Over 50 With Non‐Active Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To determine whether discontinuing anti‐CD20 therapy in people with relapsing‐onset MS aged over 50 is associated with an increased risk of relapse, inflammatory activity, confirmed disability accrual, and serious infection compared with continuing therapy.
Alexia Moukhine, Fabien Rollot, Romain Casey, Nicolas Collongues, Sandra Vukusic, Guillaume Mathey, Anne Laure Dubessy, Jonathan Ciron, Jérôme De Seze, Aurélie Ruet, Pierre Labauge, Arnaud Kwiatkowski, Hélène Zephir, Caroline Papeix, Gilles Defer, Christine Lebrun‐Frenay, David Axel Laplaud, Eric Berger, Eric Thouvenot, Jean Pelletier, Abdullatif Al Khedr, Olivier Casez, Bertrand Bourre, Abir Wahab, Laurent Magy, Jean‐Philippe Camdessanché, Ines Doghri, Solène Moulin, Mariana Sarov Rivière, Karolina Hankiewicz, Amélie Dos Santos, Corinne Pottier, Eric Manchon, Jennifer Aboab, Maia Tchikviladze, Thomas David, Gilles Edan, Emmanuelle Le Page, Laure Michel, Anne Kerbrat, OFSEP Investigators   +40 more
wiley   +1 more source

Arterial Spin‐Labeling MRI at the Cortical‐CSF Interface: A Novel Biomarker in Alzheimer Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background/Objective Arterial spin‐labeling (ASL) MRI can measure perfusion signal adjacent to CSF spaces and may provide information regarding CSF‐adjacent water transport physiology. We developed an automated pipeline to extract cortical‐CSF interface (IF) perfusion for comparison between Alzheimer disease (AD) and cognitively normal ...
Mona Asghariahmadabad, Pouya Metanat, Michael Thomas, Luke W. Bonham, Tyson Lam, Mehmet Kurt, Hong Nguyen, Tara Ellingson, Mauro Zucchelli, Stefano Casagranda, Quin Lu, Andreas M. Rauschecker, Leo Sugrue, Luis E. Savastano, Christopher P. Hess, Kamalini Ranasinghe, S. Andrew Josephson, Bruce L. Miller, Jennifer S. Yokoyama, Gil D. Rabinovici, Peter A. Ljubenkov, Lawren VandeVrede, Kambiz Nael   +22 more
wiley   +1 more source

On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals

Abstract and Applied Analysis, 2013
Following the line of (Das et al., 2011, Savas and Das, 2011), we make a new approach in this paper to extend the notion of strong convergence and more general strong statistical convergence (Şençimen and Pehlivan, 2008) using ideals and introduce the ...
Pratulananda Das, Kaustubh Dutta, Vatan Karakaya, Sanjoy Ghosal   +3 more
doaj   +1 more source

White Matter and Perivascular Imaging Changes in Alzheimer's Disease and Cerebral Amyloid Angiopathy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Peak‐width of skeletonized mean diffusivity (PSMD) and diffusion tensor imaging–analysis along the perivascular space (DTI‐ALPS), reflecting white matter integrity and glymphatic function, are altered in Alzheimer's disease (AD).
Debina Laishram, Guangwei Du, Sangam Kanekar, Nandakumar Nagaraja   +3 more
wiley   +1 more source

A CONTRACTION THEOREM IN MENGER PROBABILISTIC METRIC SPACES

Journal of Nonlinear Sciences and Applications, 2008
Summary: We consider complete Menger probabilistic quasimetric spaces and prove a common fixed point theorem for commuting maps in these spaces.
openaire   +2 more sources

Some Fixed Point Theorems in Menger Probabilistic Partial Metric Spaces with Application to Volterra Type Integral Equation

International Journal of Analysis and Applications, 2019
In this paper, we introduce the notion of Menger probabilistic partial metric space and prove some fixed point theorems in the framework of such spaces. Some examples and an application to Volterra type integral equation are given to support the obtained
Amir ‎Ghanenia, Mahnaz khanehgir, Reza Allahyari, Mohammad ‎Mehrabinezhad   +3 more
doaj   +2 more sources