Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Title
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On a generalization of the global attractivity for a periodically forced Pielou's equation
(Journal of Difference Equations and Applications, 20121231)In this paper, we study the global attractivity for a class of periodic difference equation with delay which has a generalized form of Pielou's difference equation. The global dynamics of the equation is characterized by ... 
On the Analysis of TrajectoryBased Search Algorithms: When is it Beneficial to Reject Improvements?
(Algorithmica, 2018)We investigate popular trajectorybased algorithms inspired by biology and physics to answer a question of general significance: when is it beneficial to reject improvements? A distinguishing factor of SSWM (Strong Selection ... 
On the global stability of a delayed epidemic model with transportrelated infection
(Nonlinear Analysis: Real World Applications, 20111231)We study the global dynamics of a time delayed epidemic model proposed by Liu et al. (2008) [J. Liu, J. Wu, Y. Zhou, Modeling disease spread via transportrelated infection by a delay differential equation, Rocky Mountain ... 
On the global stability of an SIRS epidemic model with distributed delays
(Discrete and Continuous Dynamical Systems Series A, 20111231)In this paper, we establish the global asymptotic stability of an endemic equilibrium for an SIRS epidemic model with distributed time delays. It is shown that the global stability holds for any rate of immunity loss, if ... 
On the Perturbation Methods for Vibration Analysis of Linear TimeVarying Systems
(International Journal of Applied Mechanics, 20160101)Some perturbation methods in the studying vibrations of the linear timevarying (LTV) system are discussed. Three classical perturbation methods, namely, averaging method, harmonic balance method, and multiple scales method ... 
Opportunities at the Intersection of Synthetic Biology, Machine Learning, and Automation
(ACS Synthetic Biology, 201907)Our inability to predict the behavior of biological systems severely hampers progress in bioengineering and biomedical applications. We cannot predict the effect of genotype changes on phenotype, nor extrapolate the ... 
An optimal scaling to computationally tractable dimensionless models: Study of latex particles morphology formation
(Computer Physics Communications, 202002)In modelling of chemical, physical or biological systems it may occur that the coefficients, multiplying various terms in the equation of interest, differ greatly in magnitude, if a particular system of units is used. Such ... 
Optimization of an Externally Mixed Biogas Plant Using a Robust CFD Method
(Computers and Electronics in Agriculture, 202004)Biogas plants have to be continuously or periodically mixed to ensure the homogenization of fermenting and fresh substrate. Externally installed mixers provide easier access than submerged mixers but concerns of ... 
Optimized schwarz methods and model adaptivity in electrocardiology simulations
(Lecture Notes in Computational Science and Engineering, 20141231)[No abstract available] 
Optimized schwarz methods for the bidomain system in electrocardiology
(Mathematical Modelling and Numerical Analysis, 20131231)The propagation of the action potential in the heart chambers is accurately described by the Bidomain model, which is commonly accepted and used in the specialistic literature. However, its mathematical structure of a ... 
Optimized Schwarz Methods in the StokesDarcy Coupling
(IMA J. Num. Analysis 38 (4), 20181016)This article studies optimized Schwarz methods for the Stokes–Darcy problem. Robin transmission conditions are introduced, and the coupled problem is reduced to a suitable interface system that can be solved using Krylov ... 
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 ... 
Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach
(Advances in Applied Mathematics and Mechanics, 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
(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 ...