Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Title
Now showing items 218237 of 263

SDEdriven modeling of phenotypically heterogeneous tumors: The influence of cancer cell stemness
(2019)We deduce cell population models describing the evolution of a tumor (possibly interacting with its environment of healthy cells) with the aid of differential equations. Thereby, different subpopulations of cancer cells ... 
Seasonally Forced SIR Systems Applied to Respiratory Infectious Diseases, Bifurcations, and Chaos
(20220303)We investigate models to describe respiratory diseases with fast mutating virus pathogens such that after some years the aquired resistance is lost and hosts can be infected with new variants of the pathogen. Such models ... 
SHAR and effective SIR models: from dengue fever toy models to a COVID19 fully parametrized SHARUCD framework
(2020)We review basic models of severe/hospitalized and mild/asymptomatic infection spreading (with classes of susceptibles S, hopsitalized H, asymptomatic A and recovered R, hence SHARmodels) and develop the notion of comparing ... 
Shoaling of nonlinear steady waves: maximum height and angle of breaking
(20151231)A Fourier approximation method is used for modeling and simu lation of fully nonlinear steady waves. The set of resulting nonlinear equations are solved by Newton’s method. The shoaling of waves is simulated based on ... 
A spacefractional bidomain framework for cardiac electrophysiology: 1D alternans dynamics
(2021)Cardiac electrophysiology modeling deals with a complex network of excitable cells forming an intricate syncytium: the heart. The electrical activity of the heart shows recurrent spatial patterns of activation, known as ... 
A spacefractional Monodomain model for cardiac electrophysiology combining anisotropy and heterogeneity on realistic geometries
(20171004)Classical models of electrophysiology do not typically account for the effects of high structural heterogeneity in the spatiotemporal description of excitation waves propagation. We consider a modification of the Monodomain ... 
Spatially Extended SHAR Epidemiological Framework of Infectious Disease Transmission
(20220213)Mathematical models play an important role in epidemiology. The inclusion of a spatial component in epidemiological models is especially important to understand and address many relevant ecological and public health ... 
Spectral analysis of a blocktriangular preconditioner for the bidomain system in electrocardiology
(20121231)In this paper we analyze in detail the spectral properties of the blocktriangular preconditioner introduced by GerardoGiorda et al. [J. Comput. Phys., 228 (2009), pp. 36253639] for the Bidomain system in nonsymmetric ... 
Spectral properties of hyperbolic nanonetworks with tunable aggregation of simplexes
(2019)Cooperative selfassembly is a ubiquitous phenomenon found in natural systems which is used for designing nanostructured materials with new functional features. Its origin and mechanisms, leading to improved functionality ... 
Spikeadding and resetinduced canard cycles in adaptive integrate and fire models
(20210503)We study a class of planar integrate and fire (IF) models called adaptive integrate and fire (AIF) models, which possesses an adaptation vari able on top of membrane potential, and whose subthreshold dynamics is piece ... 
Spinorbit interaction in threedimensionally bounded semiconductor nanostructures
(20101231)The structural inversion asymmetryinduced spinorbit interaction of conduction band electrons in zincblende and wurtzite semiconductor structures is analysed allowing for a threedimensional (3D) character of the external ... 
Stability analysis of a renewal equation for cell population dynamics with quiescence
(20141231)We propose a model to analyze the dynamics of interacting proliferating and quiescent cell populations. The model includes age dependence of cell division, transitions between the two subpopulations, and regulation of the ... 
Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates
(20121231)We analyze stability of equilibria for a delayed SIR epidemic model, in which population growth is subject to logistic growth in absence of disease, with a nonlinear incidence rate satisfying suitable monotonicity conditions. ... 
Stability analysis of multicompartment models for cell production systems
(20121231)We study twoand threecompartment models of a hierarchical cell production system with cell division regulated by the level of mature cells. We investigate the structure of equilibria with respect to parameters as well ... 
Stochastic facilitation in heteroclinic communication channels
(20210901)Biological neural systems encode and transmit information as patterns of activity tracing complex trajectories in highdimensional state spaces, inspiring alternative paradigms of information processing. Heteroclinic ... 
Stress induced polarization switching and coupled hysteretic dynamics in ferroelectric materials
(20111231)The dynamic responses of ferroelectric materials upon external mechanical and electrical stimulations are inherently nonlinear and coupled. In the current paper, a macroscopic differential model is constructed for the ... 
Structuring targeted surveillance for monitoring disease emergence by mapping observational data onto ecological process
(20131231)An efficient surveillance system is a crucial factor in identifying, monitoring and tackling outbreaks of infectious diseases. Scarcity of data and limited amounts of economic resources require a targeted effort from public ... 
'Superluminal paradox' in wave packet propagation and its quantum mechanical resolution
(20131231)We analyse in detail the reshaping mechanism leading to apparently 'superluminal' advancement of a wave packet traversing a classically forbidden region. In the coordinate representation, a barrier is shown to act as an ... 
Synthesis of Monodisperse Spherical Nanocrystals
(20160129)Nanoparticles, small units of matter with dimensions in the range 1100 nm, exhibit many advantageous sizedependent magnetic, electrical, chemical and optical prop erties, which are not observed at the microscale or ... 
Systematic Characterization of HighPower ShortDuration Ablation: Insight From an Advanced Virtual Model
(2021)Highpower shortduration (HPSD) recently emerged as a new approach to radiofrequency (RF) catheter ablation. However, basic and clinical data supporting its effectiveness and safety is still scarce