Results 101 to 110 of about 1,485 (264)

A Severity‐Agnostic Atrophy Pattern in Spinocerebellar Ataxia Type 3: Volumetrics from ENIGMA‐Ataxia

Movement Disorders, EarlyView.
Background Spinocerebellar ataxia type 3 (SCA3) is a rare, inherited neurodegenerative disease characterized by progressive loss of motor coordination. Objectives We undertook a multisite magnetic resonance imaging study to profile the spatial spread of atrophy across the brain, determine whether atrophy preferentially maps onto specific functional ...
Jason W. Robertson, Isaac Adanyeguh, David J. Arpin, Tetsuo Ashizawa, Benjamin Bender, Fernando Cendes, Xi Chen, Giulia Coarelli, Léo Coutinho, Andreas Deistung, Imis Dogan, Alexandra Durr, Jennifer Faber, for the ESMI MR Study Group, Juan Fernandez‐Ruiz, Mónica Ferreira, Marcondes C. França, Sophia L. Göricke, Shuo Han, Thomas Klockgether, Chen Liu, Jun Luo, Alberto R.M. Martinez, Sergio E. Ono, Chiadi U. Onyike, Gülin Öz, for the EUROSCA MR Study Group, Henry Paulson, Jerry L. Prince, Kathrin Reetz, Thiago J.R. Rezende, Matthis Synofzik, Hélio A. Ghizoni Teive, Sophia I. Thomopoulos, Paul M. Thompson, Dagmar Timmann, David Vaillancourt, Bart van de Warrenburg, Judith van Gaalen, Xingang Wang, Philipp Wegner, Sarah H. Ying, Ian H. Harding, Carlos R. Hernandez‐Castillo   +43 more
wiley   +1 more source

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

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

Exploring the Strengths and Limitations of Polymer Chemistry Informed Neural Networks

Macromolecular Reaction Engineering, EarlyView.
PCINNs are able to reach high levels of predictive performance utilizing imperfect kinetic models and a relatively small dataset, with reliable extrapolation at reaction temperatures significantly beyond the range of the original dataset. ABSTRACT Kinetic models are essential tools for providing a fundamental understanding of polymerization processes ...
Shaghayegh Hamzehlou, Nicholas Ballard, José M. Asua   +2 more
wiley   +1 more source

Quantifying Skin Sodium Concentration With Novel Very Rapid Biexponential T2 Relaxometry and Signal Loss Compensation Methodology

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To accurately measure skin tissue sodium concentration (TSC) through development of spin‐3/2 relaxometry methodology that also considers blood sodium. Methods Mxy generation during RF excitation is substantially reduced by very rapid T2f.
Gurparkash Singh, Christian Beaulieu, Rob Stobbe   +2 more
wiley   +1 more source

Symmetric Jacobians

Open Mathematics, 2014
Bondt Michiel
doaj   +1 more source

An Improved Air Film Model for Studying the Tilt Characteristics of Aerostatic Thrust Bearings

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT In this study, an improved mass‐spring model that treats the lubricating air film as distributed springs is proposed to calculate the static and dynamic angular stiffness of aerostatic thrust bearings. The proposed model refines the traditional mass‐spring model by introducing the spatially varying mechanical properties of the air film and the
Hui Zhuang, Jianguo Ding, Yu Chang
wiley   +1 more source

A note on the Jacobian Conjecture

Linear Algebra and its Applications, 2011
In this note, we show that, if the Druzkowski mappings $F(X)=X+(AX)^{*3}$, i.e. $F(X)=(x_1+(a_{11}x_1+...+a_{1n}x_n)^3,...,x_n+(a_{n1}x_1+...+a_{nn}x_n)^3)$, satisfies $TrJ((AX)^{*3})=0$, then $rank(A)\leq 1/2(n+δ)$ where $δ$ is the number of diagonal elements of A which are equal to zero.
openaire   +3 more sources

Inertial‐Based LQG Control: A New Look at Inverted‐Pendulum Stabilization

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Linear‐quadratic Gaussian (LQG) control is a well‐established method for optimal control through state estimation, particularly in stabilizing an inverted pendulum on a cart. In standard laboratory setups, sensor redundancy enables direct measurement of configuration variables using displacement sensors and rotary encoders. However, in outdoor
Daniel Engelsman, Itzik Klein
wiley   +1 more source

Improved Rosenbrock method with error estimator and Jacobian approximation using complex step

Results in Applied Mathematics
This paper proposes an A-stable one-stage Rosenbrock method for the solution of Ordinary Differential Equations (ODEs). In this method, Jacobians are approximated via complex step finite differences. An asymptotically accurate estimator of the truncation
Juan Diego Pulgarín Rivera, Daniel Turizo, Elias D. Nino-Ruiz, Oscar Danilo Montoya   +3 more
doaj   +1 more source