Results 241 to 250 of about 148,680 (322)

A Model Framework for Ion Channels with Selectivity Filters Based on Non-Equilibrium Thermodynamics. [PDF]

Entropy (Basel)
Keller C, Landstorfer M, Fuhrmann J, Wagner B.   +3 more
europepmc   +1 more source

Inner‐Layer Asymptotics in Partially Perforated Domains: Coupling Across Flat and Oscillating Interfaces

Mathematical Methods in the Applied Sciences, EarlyView.
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
wiley   +1 more source

Gradient-Driven Physics Informed Neural Networks for Conduction Heat Transfer and Incompressible Laminar Flow. [PDF]

J Comput Nonlinear Dyn
Lu T, Shahadat MRB, Liu Q, He R, Jiang X, Li Z.   +5 more
europepmc   +1 more source

Hybrid Reaction–Diffusion Epidemic Models: Dynamics and Emergence of Oscillations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we construct a hybrid epidemic mathematical model based on a reaction–diffusion system of the SIR (susceptible‐infected‐recovered) type. This model integrates the impact of random factors on the transmission rate of infectious diseases, represented by a probabilistic process acting at discrete time steps.
Asmae Tajani, Cristiana J. Silva, Guillaume Cantin   +2 more
wiley   +1 more source

Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat
Zimmermann P.
europepmc   +1 more source

Duality for Evolutionary Equations With Applications to Null Controllability

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley   +1 more source

Glymphatic Clearance in the Optic Nerve: A Multidomain Electro-Osmostic Model. [PDF]

Entropy (Basel)
Xiao S, Huang H, Eisenberg R, Song Z, Xu S.   +4 more
europepmc   +1 more source

Free boundary problem governed by a non-linear diffusion-convection equation with Neumann condition [PDF]

Adriana C. Briozzo
openalex   +1 more source

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, Alexei Cheviakov, Raymond J. Spiteri   +2 more
wiley   +1 more source

Designing reaction-cross-diffusion systems with Turing and wave instabilities. [PDF]

J Math Biol
Villar-Sepúlveda E, Champneys AR, Krause AL.   +2 more
europepmc   +1 more source