Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Title
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Parallelizing the KolmogorovFokkerPlanck Equation
(ESAIM M2AN: Mathematical Modelling and Numerical Analysis, 20151231)We design two parallel schemes, based on Schwarz Waveform Relaxation (SWR) procedures, for the numerical solution of the Kolmogorov equation. The latter is a simplified version of the FokkerPlanck equation describing the ... 
Particle Morphology
(Chemistry and Technology of Emulsion Polymerisation: Second Edition, 20131231)This chapter discusses the morphology of latex particles obtained mainly by (mini)emulsion polymerisation. It describes some applications of these particles, and discusses the factors that influence the particle morphology. ... 
Patientspecific computational modeling of Cortical Spreading Depression via Diffusion Tensor Imaging
(International Journal for Numerical Methods in Biomedical Engineering, 20160629)Cortical Spreading Depression (CSD), a depolarization wave originat ing in the visual cortex and traveling towards the frontal lobe, is com monly accepted as a correlate of migraine visual aura. As of today, little is ... 
Patientspecific modelling of cortical spreading depression applied to migraine studies
(20190617)Migraine is a common neurological disorder and onethird of migraine patients suffer from migraine aura, a perceptual disturbance preceding the typically unilateral headache. Cortical spreading depression (CSD), a ... 
Permanence and extinction for a nonautonomous SEIRS epidemic model
(Applied Mathematics and Computation, 20121231)In this paper, we study the longtime behavior of a nonautonomous SEIRS epidemic model. We obtain new sufficient conditions for the permanence (uniform persistence) and extinction of infectious population of the model. By ... 
Permanence and global stability of a class of discrete epidemic models
(Nonlinear Analysis: Real World Applications, 20111231)In this paper we investigate the permanence of a system and give a sufficient condition for the endemic equilibrium to be globally asymptotically stable, which are the remaining problems in our previous paper (G. Izzo, Y. ... 
ProC congruence properties for groups of rooted tree automorphisms
(Archiv der Mathematik, 20181121)We propose a generalisation of the congruence subgroup problem for groups acting on rooted trees. Instead of only comparing the profinite completion to that given by level stabilizers, we also compare pro$\mathcal{C}$ ... 
Probabilistic Modelling of Classical and Quantum Systems
(20180614)While probabilistic modelling has been widely used in the last decades, the quantitative prediction in stochastic modelling of real physical problems remains a great challenge and requires sophisticated mathematical models ... 
Pseudospectral methods and numerical continuation for the analysis of structured population models
(20160607)In this thesis new numerical methods are presented for the analysis of models in population dynamics. The methods approximate equilibria and bifurcations in a certain class of so called structured population models. Chapter ... 
Pseudospin lifetime in relaxedshape armchair graphene nanoribbons due to inplane phonon modes
(Physical Review B  Condensed Matter and Materials Physics, 20160101)We study the influence of ripple waves on the band structures of strained armchair graphene nanoribbons. We argue that the Zeeman pseudospin (pspin) splitting energy induced by ripple waves might not be neglected for ... 
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 ... 
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 ... 
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 ...