Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Title
Now showing items 248-267 of 301
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SDE-driven 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
(2022-03-03)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 COVID-19 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 SHAR-models) and develop the notion of comparing ... -
Shoaling of nonlinear steady waves: maximum height and angle of breaking
(2015-12-31)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 ... -
SilionBurmuin: A Horizon Europe propelled Neurocomputing Initiative in the Basque Country
(2023-01-01)SiliconBurmuin is aimed at creating a multi-disciplinary neurocomputing community in the Basque Country, bringing together technology and scientific research centres and industry companies. This community will: (1) identify ... -
Slow–fast dynamics in a neurotransmitter release model: Delayed response to a time-dependent input signal
(2023-12-01)We propose a generalization of the neurotransmitter release model proposed in Rodrigues et al. (2016). We increase the complexity of the underlying slow–fast system by considering a degree-four polynomial as parametrization ... -
A space-fractional 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 space-fractional Monodomain model for cardiac electrophysiology combining anisotropy and heterogeneity on realistic geometries
(2017-10-04)Classical models of electrophysiology do not typically account for the effects of high structural heterogeneity in the spatio-temporal description of excitation waves propagation. We consider a modification of the Monodomain ... -
A Spatial Kinetic Model of Crowd Evacuation Dynamics with Infectious Disease Contagion
(2023-04-01)This paper proposes a kinetic theory approach coupling together the modeling of crowd evacuation from a bounded domain with exit doors and infectious disease contagion. The spatial movement of individuals in the crowd is ... -
Spatially Extended SHAR Epidemiological Framework of Infectious Disease Transmission
(2022-02-13)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 block-triangular preconditioner for the bidomain system in electrocardiology
(2012-12-31)In this paper we analyze in detail the spectral properties of the block-triangular preconditioner introduced by Gerardo-Giorda et al. [J. Comput. Phys., 228 (2009), pp. 3625-3639] for the Bidomain system in non-symmetric ... -
Spectral properties of hyperbolic nano-networks with tunable aggregation of simplexes
(2019)Cooperative self-assembly 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 ... -
Spike-adding and reset-induced canard cycles in adaptive integrate and fire models
(2021-05-03)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- ... -
Spin-orbit interaction in three-dimensionally bounded semiconductor nanostructures
(2010-12-31)The structural inversion asymmetry-induced spin-orbit interaction of conduction band electrons in zinc-blende and wurtzite semiconductor structures is analysed allowing for a three-dimensional (3D) character of the external ... -
Stability analysis of a renewal equation for cell population dynamics with quiescence
(2014-12-31)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
(2012-12-31)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 multi-compartment models for cell production systems
(2012-12-31)We study two-and three-compartment 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
(2021-09-01)Biological neural systems encode and transmit information as patterns of activity tracing complex trajectories in high-dimensional state spaces, inspiring alternative paradigms of information processing. Heteroclinic ... -
Stress induced polarization switching and coupled hysteretic dynamics in ferroelectric materials
(2011-12-31)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
(2013-12-31)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 ...