Results 151 to 160 of about 31,990 (181)
Estrogen modulates β‐AR signaling in a context‐dependent manner influenced by species, sex, age, tissue, and vascular health, highlighting challenges in translating findings from experimental models to human cardiovascular physiology. ABSTRACT Cardiovascular diseases remain the leading global cause of morbidity and mortality, with notable sex‐specific ...
Basant Elsaid +5 more
wiley +1 more source
Intraoperative Molecular Imaging Can Detect Large Nerve Perineural Invasion: A Case Report
ABSTRACT Background Perineural invasion (PNI) in head and neck squamous cell carcinoma (SCC) results in worse overall survival. Diagnosis requires resection and microscopic evaluation. Methods A 63‐year‐old male with persistent cT4aN0 p16‐positive SCC of the left base of tongue following chemoradiotherapy underwent salvage total glossectomy ...
Carleigh R. Burns +9 more
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From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
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
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ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
wiley +1 more source
The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity
ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos +1 more
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Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation
ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin +5 more
wiley +1 more source
A Novel Mixed‐Hybrid, Higher‐Order Accurate Formulation for Kirchhoff–Love Shells
ABSTRACT This paper presents a novel mixed‐hybrid finite element formulation for Kirchhoff–Love shells, designed to enable the use of standard C0$C^0$‐continuous higher‐order Lagrange elements. This is possible by introducing the components of the moment tensor as a primary unknown alongside the displacement vector, circumventing the need for C1$C^1 ...
Jonas Neumeyer, Thomas‐Peter Fries
wiley +1 more source
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Stochastic Boundary Methods of Fundamental Solutions for solving PDEs
Engineering Analysis With Boundary Elements, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karl K Sabelfeld
exaly +2 more sources
Corrected fundamental solution for numerical solution of elliptic PDEs
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehrzad Ghorbani, Ali Reza Soheili
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Stochastic variational formula for fundamental solutions of parabolic PDE
Applied Mathematics & Optimization, 1985Let us consider a solution of the parabolic PDE \[ \partial g/\partial t=\Delta g+b(x)\nabla g,\quad t>0,\quad g(x,0)=g^ 0(x)>0. \] Under suitable hypotheses it is known [\textit{W. H. Fleming}, Appl. Math. Optimization 4, 329-346 (1978; Zbl 0398.93068)] that \(I(T,x)=-\log g(T,x)\) is the optimal cost of the stochastic control problem: \[ \min imize ...
Fleming, Wendell H., Sheu, Sheunnjyi
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