Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Title
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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 ... 
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 ... 
Structuring targeted surveillance for monitoring disease emergence by mapping observational data onto ecological process
(Journal of the Royal Society Interface, 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
(Annals of Physics, 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 ... 
Temporal excitation patterns on the cerebral cortex as a result of migraine modeling
(Springer Proceedings in Physics, 20160629)The complex, highly individual, geometry of the cerebral cortex in humans presents a major challenge in studying the spreading of spontaneous neuronal activity. Recent computational advances [1] allow to simulate the ... 
The airfoil equation on near disjoint intervals: Approximate models and polynomial solutions
(Journal of Computational and Applied Mathematics, 20160101)The airfoil equation is considered over two disjoint intervals. Assuming the distance between the intervals is small an approximate solution is found and relationships between this approximation and the solution of the ... 
Theoretical Study of the Dissociative Adsorption of Methane on Ir(111): The Role of Steps and Surface Distortions at High Temperatures
(Journal of Physical Chemistry C, 20160101)In this work we revisit the dissociative adsorption of methane on Ir(111) through density functional theory calculations. We focus on the role of surface defects entailing undercoordinated Ir atoms (e.g., steps), and ... 
Three Dimensional Metallic Carbon from Distorting sp3Bond
(Crystal Growth and Design, 20160101)Owing to the outstanding properties of metallic carbon as well as their great potential applications, design and synthesis of metallic carbon have long attracted considerable attention. In this work, a new threedimensional ... 
Tissue drives lesion: computational evidence of interspecies variability in cardiac radiofrequency ablation
(HE 10TH INTERNATIONAL CONFERENCE ON FUNCTIONAL IMAGING AND MODELING OF THE HEART, 2019)Radiofrequency catheter ablation (RFCA) is widely used for the treatment of various types of cardiac arrhythmias. Typically, the efficacy and the safety of the ablation protocols used in the clinics are derived from tests ... 
Transitions between bursting modes in the integrated oscillator model for pancreatic βcells
(Journal of Theoretical Biology, 20180620)Insulinsecreting $\beta$cells of pancreatic islets of Langerhans produce bursts of electrical impulses, resulting in intracellular Ca$^{2+}$ oscillations and pulsatile insulin secretion. The mechanism for this bursting ... 
Traveling waves for models of phase transitions of solids driven by configurational forces
(Discrete and Continuous Dynamical Systems  Series B, 20111231)This article is concerned with the existence of traveling wave solutions, including standing waves, to some models based on configurational forces, describing respectively the diffusionless phase transitions of solid ... 
Tuning $g$factor of electrons through spinorbit coupling in GaAs/AlGaAs conical quantum dots
(International Journal of Modern Physics B, 20160101)We investigate band structures of (Formula presented.) threedimensional conical quantum dots (QDs). In particular, we explore the influence of the Rashba and Dresselhaus spinâ€“orbit couplings in the variation of effective ...