Results 101 to 110 of about 4,901 (302)
ABSTRACT Objective We aim to comprehensively analyze how regional tumor and edema characteristics are associated with clinical presentations and survival outcomes in a large cohort of glioblastoma patients. Methods Patients with IDH‐wildtype glioblastoma who received brain MRI from 2010 to 2023 were included.
Daniel J. Zhou +16 more
wiley +1 more source
Generalized contraction principle under relatively weaker contraction in partial metric spaces
In this paper, we introduce the concept of a generalized weak (ϕ,R) $(\phi,\mathcal{R})$-contraction and employ this to prove some fixed point results for self-mappings in partial metric spaces endowed with a binary relation R $\mathcal{R}$.
Atiya Perveen +2 more
doaj +1 more source
ABSTRACT Objective Facioscapulohumeral muscular dystrophy (FSHD) is one of the most debilitating and common muscular dystrophies. Despite its severity, no approved therapy exists for FSHD patients. However, several therapeutic candidates are currently under development, and some have recently entered clinical trials, marking the need for reliable ...
Mustafa Bilal Bayazit +11 more
wiley +1 more source
Stability conditions for abstract functional differential equations in Hilbert space
The author studies some interesting stability properties for a class of functional differential equations of the form \[ \begin{cases} u'(t)= Au(t)+ bAu(t- h)+ \int^0_{-h} a(r) Au(t+ r)\,dr,\;t> 0,\\ u(0)= \phi^0,\quad u(r)= \Phi^1(r),\quad r\in [-h,0).\end{cases} \] Here \(A\) is the infinitesimal generator of an analytic semigroup of linear operators
openaire +3 more sources
ABSTRACT Objective Neurochemical levels measured by brain MR spectroscopy (MRS) have been proposed as endpoints for clinical trials in early‐stage spinocerebellar ataxia (SCA) trials. We tested their trial‐readiness by quantifying neurochemicals in three affected brain regions in early‐stage cohorts of SCA2 and SCA3, examining their reproducibility in ...
James M. Joers +19 more
wiley +1 more source
: There are some methods for solving integro-differential equations. In this work, we solve the general-order Feredholm integro-differential equations. The Petrov-Galerkin method by considering Chebyshev multiwavelet basis is used.
k. Maleknejad, M. Rabbani
doaj
T1 Over Squared Proton Density Ratio to Characterize Multiple Sclerosis Lesions
ABSTRACT Objective Differentiating remyelinated from demyelinated lesions in MS remains challenging without histological confirmation. This study introduces the T1‐to‐PD2 ratio (TPR) imaging approach and evaluates its ability to characterize MS lesions alongside other quantitative MRI (qMRI) metrics. Methods Thirty individuals with MS (mean age: 47.5 ±
Sarah J. Wright +10 more
wiley +1 more source
ABSTRACT Objectives Focal cortical dysplasia (FCD) is the most common etiology of drug‐resistant epilepsy in children. Focal to bilateral tonic–clonic seizures (FBTCS) mark a high risk of drug‐resistant epilepsy and involve thalamocortical circuitry in their generation and propagation.
Hua Xie +8 more
wiley +1 more source
Existence and comparison results for operator and differential equations in abstract spaces
The author proves a fixed-point theorem for increasing mappings \(G:P\to P\) (\(P\) a partially ordered set), together with monotone increasing dependence of selected fixed-points with respect to \(G\). The results are applied to discontinuous implicit functional-differential equations in ordered Banach spaces.
openaire +2 more sources
For abstract functional differential equations (FDE) and Volterra difference equations (VDE) in a Banach space, the local existence and smoothness of invariant manifolds, such as stable/unstable manifolds, center-stable/center-unstable manifolds and center manifolds, are established by means of the variation of constants formula in the phase space in ...
Murakami, Satoru, Nagabuchi, Yutaka
openaire +2 more sources

