Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Title
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Qualitative analysis of kineticbased models for tumorimmune system interaction
(Discrete and Continuous Dynamical Systems  Series B, 201808)A mathematical model, based on a mesoscopic approach, describing the competition between tumor cells and immune system in terms of kinetic integrodifferential equations is presented. Four interacting populations are ... 
Quiescence: A mechanism for escaping the effects of drug on cell populations
(Journal of the Royal Society Interface, 20111231)We point out that a simple and generic strategy in order to lower the risk for extinction consists in developing a dormant stage in which the organism is unable to multiply but may die. The dormant organism is protected ... 
Radiation of water waves by a submerged nearly circular plate
(Journal of Computational and Applied Mathematics, 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
(Bioinformatics and Biomedical Engineering, Springer, 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
(Journal of Computational Physics, 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
(PHYSICAL REVIEW A, 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
(Physical Review E  Statistical, Nonlinear, and Soft Matter Physics, 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 ... 
Revealing the Mechanism of Sodium Diffusion in NaxFePO4 Using an Improved Force Field
(Journal of Physical Chemistry C, 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
(Glia, 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 ... 
Runaway electrification of friable selfreplicating granular matter
(Langmuir, 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
(Discrete and Continuous Dynamical Systems  Series B, 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 ... 
Shoaling of nonlinear steady waves: maximum height and angle of breaking
(Conference Applications of Mathematics 2015, in honor of the birthday anniversaries of Ivo Babuska (90), Milan Prager (85), and Emil Vitasek (85) J. Brandts, S. Korotov, M. Krızek, K. Segeth, J. Sıstek, T. Vejchodsky (Eds.) Institute of Mathemat, 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 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 ... 
Spectral analysis of a blocktriangular preconditioner for the bidomain system in electrocardiology
(Electronic Transactions on Numerical Analysis, 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
(Physical Review E, 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 ... 
Spinorbit interaction in threedimensionally bounded semiconductor nanostructures
(New Journal of Physics, 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
(SIAM Journal on Applied Mathematics, 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
(Applied Mathematics and Computation, 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
(Journal of Biological Dynamics, 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 ... 
Stress induced polarization switching and coupled hysteretic dynamics in ferroelectric materials
(Frontiers of Mechanical Engineering, 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 ...