Developmental, Neuroanatomical and Cellular Expression of Genes Causing Dystonia
ABSTRACT Objective Dystonia is one of the most common movement disorders, with variants in multiple genes identified as causative. However, an understanding of which developmental stages, brain regions, and cell types are most relevant is crucial for developing relevant disease models and therapeutics.
Darren Cameron +5 more
wiley +1 more source
Dynamics of a state-dependent delay-differential equation
We present a detailed study of a scalar differential equation with threshold state-dependent delayed feedback. This equation arises as a simplification of a gene regulatory model.
Tomas Gedeon +4 more
doaj +1 more source
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
Periodic Solutions in a Simple Delay Differential Equation
A simple-form scalar differential equation with delay and nonlinear negative periodic feedback is considered. The existence of several types of slowly oscillating periodic solutions is shown with the same and double periods of the feedback coefficient ...
Anatoli Ivanov, Sergiy Shelyag
doaj +1 more source
Asymptotic Stability of Differential Equations with Infinite Delay
A theorem on asymptotic stability is obtained for a differential equation with an infinite delay in a function space which is suitable for the numerical computation of the solution to the infinite delay equation.
D. Piriadarshani, T. Sengadir
doaj +1 more source
Stability of delay differential equations via delayed matrix sine and cosine of polynomial degrees
In this paper, we study the finite time stability of delay differential equations via a delayed matrix cosine and sine of polynomial degrees. Firstly, we give two alternative formulas of the solutions for a delay linear differential equation.
Chengbin Liang, Wei Wei, JinRong Wang
doaj +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
On the stability of the third order partial differential equation with time delay
In this paper, the initial value problem for a third-order partial differential equation with time delay within a Hilbert space was analyzed. We establish a key theorem regarding the stability of this problem.
A. Ashyralyev, S. Ibrahim, E. Hincal
doaj +1 more source
An optimal stopping problem in a diffusion-type model with delay [PDF]
We present an explicit solution to an optimal stopping problem in a model described by a stochastic delay differential equation with an exponential delay measure. The method of proof is based on reducing the initial problem to a free-boundary problem and
Markus Reiß, Pavel V. Gapeev
core
Clustering Algorithm Reveals Dopamine‐Motor Mismatch in Cognitively Preserved Parkinson's Disease
ABSTRACT Objective To explore the relationship between dopaminergic denervation and motor impairment in two de novo Parkinson's disease (PD) cohorts. Methods n = 249 PD patients from Parkinson's Progression Markers Initiative (PPMI) and n = 84 from an external clinical cohort.
Rachele Malito +14 more
wiley +1 more source

