Fractional calculus can provide a concise model for the description of the physical events
that occur in inflammatory process. This work aims to investigate and construct a …

This paper deals with the mathematical modeling of atherosclerosis based on a novel
hypothesis proposed by a surgeon, Prof. Dr. Axel Haverich (Circulation 135 (3): 205–207 …

In this article, a partial differential equation (PDE) model for atherosclerosis disease is
presented that analyzes the anti-oxidative activity of high-density lipoprotein (HDL) during …

This work deals with the study and implementation of a Local Space-Time DG ADER
approach, in the finite volume framework with Weighted Essentially Non-Oscillatory (WENO) …

In this article, we developed a fractional-order atherosclerosis disease model and discussed
the inflammatory and control criteria during inflation of the disease. Here, we also discuss …

In general, high density lipoprotein is considered one of the anti-plaque acellular organisms
that can reduce atherosclerotic risk by reverse cholesterol transport property. This study …

BACKGROUND: The incidence rate of pulmonary artery stenosis is increasing year by year
and its numerical simulation has become a key project of biomedical engineering …

We deal in this work with the implementation of a local space-time DG ADER approach
(ADER-LSTDG), under a finite volume scheme, to solve a reaction-diffusion model …

This work concerns a mathematical model given by a system of two-dimensional nonlinear
reaction-diffusion equations with a nonlinear source term in one of the equations, which …

Neste trabalho estudamos a equação de Landau-Levich, no caso estacionário. Aequação
modela espessura de filme finos sob superfícies em movimento e pode ser considerada …