Results 101 to 110 of about 87,914,593 (210)

Incretin‐Based Medications in Women and Reproduction: A Systematic Scoping Review and Consensus Guidelines for Clinical Practice

Obesity Reviews, EarlyView.
ABSTRACT Introduction Pregnancy concurrent with incretin‐based medications is contraindicated due to unknown risk of teratogenicity, as is breastfeeding. The aim of this systematic scoping review was to investigate potential risks and benefits of incretin‐based medications in relation to preconception, pregnancy, and postnatal health, and to propose ...
Kate Maslin, Jill Shawe, Sinead Blowers, Michael Ceulemans, Kathryn Hart, Sam Schoenmakers, Amihai Rottenstreich, Heather Hopper, Mojca Jensterle, Angela C. Flynn, Sarah Siegelaar, Annick Bogaerts, Isy Douek, Nicola Heslehurst, Dries Ceulemans, Tricia Tan, Johnathan Pinkney, Martin Whyte, Shahrad Taheri, Roland Devlieger   +19 more
wiley   +1 more source

A Minimalist Model for the Capture and Investigation of Solitary Waves in Gravity–Driven Liquid Films

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT A potential–based, first–integral formulation of the Navier–Stokes equations is used as a platform for modelling solitary waves in gravity‐driven film flow, giving rise to a nonlinear partial differential equation in complex form. Its subsequent modal decomposition—leading to an infinite set of ordinary differential equations (ODEs), followed ...
Markus Scholle, Meriem Al Ahmadi Hammou, Philip H. Gaskell   +2 more
wiley   +1 more source

Partial Observation of Linear Systems With the Mori–Zwanzig Formalism

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The Mori–Zwanzig (MZ) formalism provides a systematic framework for deriving reduced‐order model of dynamical systems when only part of the state is observed, but its practical use is often limited by the complexity of the resulting computations.
Fan Wang, Peter Benner, Jan Heiland
wiley   +1 more source

Improving Realism of Facial Interpolation and Blendshapes with Analytical Partial Differential Equation-Represented Physics

Axioms
How to create realistic shapes by interpolating two known shapes for facial blendshapes has not been investigated in the existing literature. In this paper, we propose a physics-based mathematical model and its analytical solutions to obtain more ...
Sydney Day, Zhidong Xiao, Ehtzaz Chaudhry, Matthew Hooker, Xiaoqiang Zhu, Jian Chang, Andrés Iglesias, Lihua You, Jianjun Zhang   +8 more
doaj   +1 more source

Sparsity‐Driven Source Localization in Tomographic Sensing Applications

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Hyperspectral standoff detection systems such as Focal Plane Array (FPA) Fourier Transform Infrared (FTIR) spectrometers provide high spatial resolution in detecting airborne chemical contaminants that are invisible to the human eye but potentially hazardous. When two such systems are operated simultaneously with a suitable opening angle, they
Marco Mattuschka, Noah An der Lan, Stefanie Schröder, Arne Ficks, Max von Danwitz, Alexander Popp   +5 more
wiley   +1 more source

Finite Difference Approximation for Linear Stochastic Partial Differential Equations with Method of Lines [PDF]

A stochastic partial differential equation, or SPDE, describes the dynamics of a stochastic process defined on a space-time continuum. This paper provides a new method for solving SPDEs based on the method of lines (MOL).
McDonald, Stuart
core  

Caputo fractional derivative in the solution of Kolmogorov equations: a new numerical approach

Boundary Value Problems
Fractional-order partial differential equations (PDEs) have become an essential tool in modeling complex phenomena across various scientific disciplines due to their ability to describe processes involving memory and hereditary effects.
Mohammad Alshammari, Saleh Alshammari, Manoj Singh, Yousef Jawarneh, Nedal M. Mohammed, Khalid M. K. Alshammari   +5 more
doaj   +1 more source

Four Decades of Research at the MADE Site and Beyond: Advancing the Understanding and Modeling of Solute Transport in Heterogeneous Media

Reviews of Geophysics, Volume 64, Issue 4, December 2026.
Abstract Spatial heterogeneity, manifested as strong variability in hydraulic conductivity (K) within geological formations, exerts a fundamental control on groundwater flow and solute transport. Because K can vary over multiple orders of magnitude in complex three‐dimensional patterns, predicting contaminant plume migration remains a long‐standing ...
Zhilin Guo, Maosheng Yin, Peiyao Dong, Yong Zhang, Kewei Chen, Graham Fogg, Brian Berkowitz, Marco Dentz, Chunmiao Zheng   +8 more
wiley   +1 more source

Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson, Janne Nurminen, Mikko Salo   +2 more
wiley   +1 more source

cGMP Signaling in Arterioles Revealed by FRET‐Based Real‐Time Measurement in Mice In Vivo

Acta Physiologica, Volume 242, Issue 11, November 2026.
ABSTRACT cGMP evokes arteriolar vasorelaxation and is generated in smooth muscle by the soluble guanylyl cyclase (sGC) stimulated by endothelial NO. Phosphodiesterases (PDEs) degrade cGMP and may contribute in diameter regulation. We examined arteriolar cGMP levels in real‐time in vivo upon NO and acetylcholine (ACh) and effects of PDE inhibition ...
Lukas Thiele, Kjestine Schmidt, Martin Thunemann, Andreas Friebe, Susanne Feil, Robert Feil, Cor de Wit   +6 more
wiley   +1 more source