Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Title
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Radiation of water waves by a submerged nearly circular plate
(20160101)A thin nearly circular plate is submerged below the free surface of deep water. The problem is reduced to a hypersingular integral equation over the surface of the plate which is conformally mapped onto the unit disc. The ... 
Radiofrequency Ablation for Treating Chronic Pain of Bones: Effects of Nerve Locations
(201905)The present study aims at evaluating the effects of target nerve location from the bone tissue during continuous radiofrequency ablation (RFA) for chronic pain relief. A generalized threedimensional heterogeneous computational ... 
An RBFFD closest point method for solving PDEs on surfaces
(2018)Partial differential equations (PDEs) on surfaces appear in many applications throughout the natural and applied sciences. The classical closest point method (Ruuth and Merriman, J. Comput. Phys. 227(3):19431961, ... 
Reexamination of continuous fuzzy measurement on twolevel systems
(20170410)Imposing restrictions on the Feynman paths of the monitored system has in the past been proposed as a universal modelfree approach to continuous quantum measurements. Here we revisit this proposition and demonstrate that ... 
Relative frequencies of constrained events in stochastic processes: An analytical approach
(20151231)The stochastic simulation algorithm (SSA) and the corresponding Monte Carlo (MC) method are among the most common approaches for studying stochastic processes. They relies on knowledge of interevent probability density ... 
Reproduction ratio and growth rates: Measures for an unfolding pandemic
(202005)The initial exponential growth rate of an epidemic is an important measure that follows directly from data at hand, commonly used to infer the basic reproduction number. As the growth rates λ(t) of tested positive COVID19 ... 
Revealing the Mechanism of Sodium Diffusion in NaxFePO4 Using an Improved Force Field
(20180402)Olivine NaFePO4 is a promising cathode material for Naion batteries. Intermediate phases such as Na0.66FePO4 govern phase stability during intercalationdeintercalation processes, yet little is known about Na+ diffusion ... 
A roadmap to integrate astrocytes into Systems Neuroscience
(20190506)Systems Neuroscience is still mainly a neuronal field, despite the plethora of evidence supporting the fact that astrocytes modulate local neural circuits, networks, and complex behaviors. In this article, we sought to ... 
The role of mild and asymptomatic infections on COVID19 vaccines performance: A modeling study
(20211116)Introduction: Different COVID19 vaccine efficacies are reported, with remarkable effectiveness against severe disease. The so called sterilizing immunity, occurring when vaccinated individuals cannot transmit the virus, ... 
Runaway electrification of friable selfreplicating granular matter
(20131231)We establish that the nonlinear dynamics of collisions between particles favors the charging of an insulating, friable, selfreplicating granular material that undergoes nucleation, growth, and fission processes; we ... 
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 ...