Results 71 to 80 of about 25,672 (245)

Clinical and Imaging Characteristics of Parkinson's Disease with Negative Alpha‐Synuclein Seed Amplification Assay

Movement Disorders, EarlyView.
Abstract Background The cerebrospinal fluid alpha‐synuclein seed amplification assay (CSFasynSAA) detects alpha‐synuclein aggregation in over 90% of individuals with sporadic PD (sPD). However, the clinical characteristics of sPD with negative CSFasynSAA remain undefined.
Sarah M. Brooker, Jacopo Pasquini, Seung Ho Choi, David‐Erick Lafontant, Seyed‐Mohammad Fereshtehnejad, Yashar Zeighami, Piergiorgio Grillo, Giulietta M. Riboldi, Houman Azizi, Roqaie Moqadam, Un Jung Kang, Kelly N.H. Nudelman, Andrew Siderowf, Caroline M. Tanner, Thomas F. Tropea, Tatiana Foroud, Lana M. Chahine, Brit Mollenhauer, Kalpana M. Merchant, Douglas Galasko, Christopher S. Coffey, Roseanne D. Dobkin, Ethan G. Brown, Roy N. Alcalay, Daniel Weintraub, Kenneth Marek, Tanya Simuni, Paulina Gonzalez‐Latapi, Nicola Pavese, Kathleen L. Poston, the Parkinson's Progression Markers Initiative   +30 more
wiley   +1 more source

On polynomial submersions of degree $4$ and the real Jacobian conjecture in $\R^2$

, 2014
The main result of this paper is the following version of the real Jacobian conjecture: "Let $F=(p,q):\R^2\to\R^2$ be a polynomial map with nowhere zero Jacobian determinant.
Braun, F., Oréfice-Okamoto, B.
core  

Extending the hyper‐logistic model to the random setting: New theoretical results with real‐world applications

Mathematical Methods in the Applied Sciences, EarlyView.
We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés, Ana Navarro‐Quiles, Sorina Madalina Sferle   +2 more
wiley   +1 more source

The Similarity Between Epidemiologic Strains, Minimal Self-Replicable Siphons, and Autocatalytic Cores in (Chemical) Reaction Networks: Towards a Unifying Framework

Mathematics
Motivation: We aim to study the boundary stability and persistence of positive odes in mathematical epidemiology models by importing structural tools from chemical reaction networks.
Florin Avram, Rim Adenane, Lasko Basnarkov, Andras Horvath   +3 more
doaj   +1 more source

A system of polynomial equations related to the Jacobian Conjecture

, 2014
We prove that the Jacobian conjecture is false if and only if there exists a solution to a certain system of polynomial equations. We analyse the solution set of this system.
Guccione, Jorge A., Guccione, Juan José, Valqui, Christian   +2 more
core  

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

On the tame authomorphism approximation, augmentation Topology of Automorphism Groups and $Ind$-schemes, and authomorphisms of tame automorphism groups

, 2017
We study authomorphisms of $Ind$-groups of polynomial automorphisms (wich are singular) via tame approximations. Such objects were pioneeered in research by B.I.Plotkin We obtain a number of properties of $Aut(Aut(A))$, where $A$ is the polynomial or ...
Elishev, A., Kanel-Belov, A., Yu, J. -T.
core  

Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

A Novel Optimized Local Linearization Hybrid Block Method for Chaotic Systems: Applications to Stretch‐Twist‐Fold Flow and Bond Orbital Chaotic Attractors

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
wiley   +1 more source

A note on sufficient conditions for the real Jacobian conjecture in R^2

Electronic Journal of Differential Equations
The real Jacobian conjecture in $\mathbb{R}^2$ claims that if $F=(f,g):\mathbb{R}^2 \to \mathbb{R}^2$ is a polynomial map such that $ \det DF(x,y)\neq 0 $ for all $(x,y)\in \mathbb{R}^2$, then $F$ is globally injective.
Xiuli Cen, Kangnong Hu, Yuzhou Tian
doaj