Results 121 to 130 of about 27,852 (244)
Analytical Solutions for the Cardiac Extracellular‐Membrane‐Intracellular Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The cardiac extracellular‐membrane‐intracellular (EMI) model is a novel mathematical framework for cardiac electrophysiology simulations. The cardiac EMI model provides a more detailed description of the heart's electrical activity compared to traditional monodomain and bidomain models, potentially making it better‐suited for understanding the
Carlos Ballesteros +2 more
wiley +1 more source
Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley +1 more source
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
On Some Subspace Codiskcyclic Operators in Banach Spaces
International Journal of Mathematics and Mathematical SciencesThis paper introduces the concepts of subspace codiskcyclicity and subspace codisk transitivity, providing criteria and examples that highlight their distinct properties compared to traditional codiskcyclic operators and hypercyclic operators.
Peter Masong Slaa +2 more
doaj +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose Dynamic contrast‐enhanced MRI (DCE‐MRI) can assess tumor perfusion using pharmacokinetic models. However, poor DCE‐MRI reproducibility from reliance on conventional T1‐weighted MRI has limited clinical translation. We evaluated whether Dynamic Contrast Enhanced‐Magnetic Resonance Fingerprinting (DCE‐MRF), which directly generates ...
Christina J. MacAskill +15 more
wiley +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To improve cardiac motion representation and reduce artifacts for cardiac‐ and respiratory‐resolved imaging through a synergistic combination of retrospective cardiac phased array RF focusing and rigid respiratory motion compensation (MoCo).
Zheyuan Hu +7 more
wiley +1 more source
Inner Speech in Motor Cortex: Laying the Foundation for Privacy‐Preserving Speech Neuroprostheses
Medicine Bulletin, EarlyView.
Chenzhitong Chen +8 more
wiley +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To develop a new method for free‐running three‐dimensional (3D) extracellular volume mapping of the heart in a single scan with mid‐scan contrast injection. Methods 3D cardiac MR imaging was performed with a single scan that acquired k‐space data continuously using an inversion recovery (IR) sequence with a spoiled gradient‐echo ...
Wonil Lee +8 more
wiley +1 more source