Stability analysis of a system of second order rational difference equations [PDF]
In this paper we consider a system of second order rational difference equations. We mainly discuss the boundedness and persistence, existence of fixed point, and uniqueness of positive fixed point, local and global behavior of positive fixed point and ...
Muhammad Salman Khan +3 more
doaj
The McCance Brain Care Score and Mortality: Evidence From a Large‐Scale Population‐Based Cohort
ABSTRACT Objectives This study aimed to examine the relationship between the McCance Brain Care Score (BCS) and mortality in the general population. Methods We conducted a prospective, population‐based cohort study using data from the UK Biobank. Participants with complete data enabling calculation of BCS and full mortality information were included ...
Zhiqiang Xu, Xiaoxiao Wang, Nan Li
wiley +1 more source
Normal forms for rational difference equations with applications to the global periodicity problem [PDF]
We propose a classification and derive the associated normal forms for rational difference equations with complex coefficients. As an application, we study the global periodicity problem for second order rational difference equations with complex ...
Mañosa, Víctor +2 more
core
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
We consider the class of biorthogonal polynomials that are used to solve the inverse spectral problem associated to elementary co-adjoint orbits of the Borel group of upper triangular matrices; these orbits are the phase space of generalized integrable ...
Bertola, M., Gekhtman, M.
core +1 more source
Impact of Asymptomatic Intracranial Hemorrhage on Outcome After Endovascular Stroke Treatment
ABSTRACT Background Endovascular treatment (EVT) achieves high rates of recanalization in acute large‐vessel occlusion (LVO) stroke, but functional recovery remains heterogeneous. While symptomatic intracranial hemorrhage (sICH) has been well studied, the prognostic impact of asymptomatic intracranial hemorrhage (aICH) after EVT is less certain ...
Shihai Yang +22 more
wiley +1 more source
Asymptotic Behavior of Equilibrium Point for a Family of Rational Difference Equations
This paper is concerned with the following nonlinear difference equation where the initial data , , are nonnegative integers, and , B, C, and D are arbitrary positive real numbers.
Chang-you Wang, Qi-hong Shi, Shu Wang
doaj +2 more sources
Three-Dimensional Second-Order Rational Difference Equations: Explicit Formulas and Simulations
This paper studies a three-dimensional second-order rational difference system, which generalizes earlier scalar and bidimensional models. We derive explicit closed-form solutions for general initial conditions and identify special cases that simplify ...
Ahmed Ghezal +2 more
doaj +1 more source
DYNAMICS OF A HIGHER-ORDER RATIONAL DIFFERENCE EQUATION
Summary: We consider a higher order rational difference equation. Firstly, we skillfully give a sufficient and necessary condition for the existence and uniqueness of the initial value problem. And then we investigate the local stability, asymptotic behavior, periodicity and oscillation of solutions for the difference equation.
Wang, Qi, Zhang, Qinqin
openaire +2 more sources
Epilepsy‐Associated Variants of a Single SCN1A Codon Exhibit Divergent Functional Properties
ABSTRACT Objective Pathogenic variants in SCN1A, which encodes the voltage‐gated sodium channel NaV1.1, are associated with multiple epilepsy syndromes exhibiting a range of clinical severity. SCN1A variants are reported in different syndromes, including Dravet syndrome, which is associated with loss‐of‐function, whereas neonatal/infantile‐onset ...
Lanie N. Liebovitz +3 more
wiley +1 more source

