Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Title
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Parallelizing the KolmogorovFokkerPlanck Equation
(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 ... 
Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach
(2019)Nonlinear normal modes and a numerical iterative approach are applied to study the parametric vibrations of pipes conveying pulsating fluid as an example of gyroscopic continua. The nonlinear nonautonomous governing ... 
Particle Morphology
(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
(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
(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
(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. ... 
Predictive engineering and optimization of tryptophan metabolism in yeast through a combination of mechanistic and machine learning models
(2019)In combination with advanced mechanistic modeling and the generation of highquality multidimensional data sets, machine learning is becoming an integral part of understanding and engineering living systems. Here we show ... 
ProC congruence properties for groups of rooted tree automorphisms
(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
(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
(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
(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
(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 ...