Atherosclerotic cardiovascular disease (ASCVD) is the leading cause of morbidity and
mortality among Western populations. Many risk factors have been identified for ASCVD; …

The applicability of ADER finite volume methods to solve hyperbolic balance laws with stiff
source terms in the context of well-balanced and non-conservative schemes is extended to …

We present here a mathematical model describing the primary mechanisms that drive the
early stages of atherosclerosis. This involves the interactions between modified low density …

In this paper we derive a reaction-diffusion-chemotaxis model for the dynamics of multiple
sclerosis. We focus on the early inflammatory phase of the disease characterized by …

The purpose of this paper is twofold. First, we extend the applicability of Cattaneo's
relaxation approach, one of the currently known relaxation approaches, to reformulate time …

Following Cattaneo's original idea, in this article we first present two relaxation formulations
for time-dependent, non-linear systems of advection–diffusion–reaction equations. Such …

A scale conjugate neural network learning process for the nonlinear malaria disease model
Page 1 AIMS Mathematics, 8(9): 21106–21122. DOI: 10.3934/math.20231075 Received: 15 …

Observational studies have identified angiogenesis from the adventitial vasa vasorum and
intraplaque hemorrhage (IPH) as critical factors in atherosclerotic plaque progression and …

In this paper, by employing the asymptotic expansion method, we prove the existence and
uniqueness of a smoothing solution for a time-dependent nonlinear singularly perturbed …

We propose a multiphysical mathematical model by fully coupling lipid deposition,
monocytes/macrophages recruitment and angiogenesis to investigate the …