Results 111 to 120 of about 51,428 (221)
The Journal of Physiology, EarlyView.Abstract figure legend Integrated multimodal platform for panoramic cardiac mapping in isolated heart experiments. On the left, an image of the experimental setup during data acquisition showing a Langendorff‐perfused rabbit heart surrounded by three optical cameras (CAM A, B and C) positioned 120° apart, each coupled with high‐power LEDs for panoramic
Jimena Siles +8 more
wiley +1 more source
Some existence and uniqueness results for infinity Laplace equations on infinite graphs
We study the Dirichlet problem of the following discrete infinity Laplace equation on unbounded subgraphs \begin{equation*} Δ_{\infty}u(x):=\inf_{y\sim x}u(y)+\sup_{y\sim x}u(y)-2u(x)=f(x). \end{equation*} For the homogeneous case ($f=0$), the existence and uniqueness of sublinear solutions are established.
Han, Fengwen, Wang, Tao
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Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2510-2531, 15 March 2026.ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin +2 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 3353-3384, 15 March 2026.ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
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Lipschitz Regularity of Viscosity Solutions to the Infinity Laplace Equation
Journal of Applied Mathematics and Physics, 2023 Xiao Han, Fang Liu
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Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 762-822, March 2026.Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
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Coherent Disaggregation and Uncertainty Quantification for Spatially Misaligned Data
Environmetrics, Volume 37, Issue 2, March 2026.ABSTRACT Spatial misalignment arises when datasets are aggregated or collected at different spatial scales, leading to information loss. We develop a Bayesian disaggregation framework that links misaligned data to a continuous‐domain model through an iteratively linearised integration scheme implemented with the Integrated Nested Laplace Approximation (
Man Ho Suen, Mark Naylor, Finn Lindgren
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On goodness‐of‐fit testing for self‐exciting point processes
Scandinavian Journal of Statistics, Volume 53, Issue 1, Page 102-139, March 2026.Abstract Despite the wide usage of parametric point processes in theory and applications, a sound goodness‐of‐fit procedure to test whether a given parametric model is appropriate for data coming from a self‐exciting point process has been missing in the literature.
José Carlos Fontanesi Kling +1 more
wiley +1 more source
Variable selection via thresholding
Scandinavian Journal of Statistics, Volume 53, Issue 1, Page 207-237, March 2026.Abstract Variable selection comprises an important step in many modern statistical inference procedures. In the regression setting, when estimators cannot shrink irrelevant signals to zero, covariates without relationships to the response often manifest small but nonzero regression coefficients.
Ka Long Keith Ho, Hien Duy Nguyen
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