Results 161 to 170 of about 3,411,820 (225)

Kinetic and Mean‐Field Modeling of Muscular Dystrophies

open access: yesStudies in Applied Mathematics, Volume 157, Issue 4, October 2026.
ABSTRACT We present a new class of models for assessing the cell dynamics characterizing muscular dystrophies. The proposed approach comprises a system of integro‐differential equations for the statistical distributions, over a large patient cohort, of the densities of muscle fibers and immune cells implicated in muscle inflammation, degeneration, and ...
Tommaso Lorenzi   +2 more
wiley   +1 more source

On the Numerical Solution of the Poisson Equation in the Smoothed Particle Hydrodynamics

open access: yesStudies in Applied Mathematics, Volume 157, Issue 4, October 2026.
ABSTRACT In the present work, we address some aspects related to the numerical solution of the Poisson equation within the framework of the Smoothed Particle Hydrodynamics (SPH). In this case, the Poisson equation is solved using nonlocal, kernel‐based discretizations of the differential operators (i.e., gradient, divergence, and Laplacian operators ...
Matteo Antuono   +2 more
wiley   +1 more source

Solvability and Boundedness in Chemotaxis‐Consumption Models With Oppositely Acting Nonlocal Sources

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 14, Page 16146-16162, 30 September 2026.
ABSTRACT In this paper, we investigate a chemotaxis system featuring a class of external source terms that incorporate both local and nonlocal growth as well as dampening effects. The model describes the evolution of a cell density u$$ u $$, which migrates in response to a chemical signal v$$ v $$, within an impermeable habitat.
Rafael Díaz Fuentes   +3 more
wiley   +1 more source

Multiphysics Simulation of Positive Streamer Discharge in Air Using Finite Element Method

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 18, 30 September 2026.
ABSTRACT Streamer discharge modeling by means of the Finite Element Method (FEM) presents a formidable challenge in computational physics due to its nonlinear and convection‐dominated characteristics that cause numerical instabilities, including negative densities of charged particles.
Hasupama Jayasinghe   +3 more
wiley   +1 more source

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