Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Title
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Geometry and temperature dependent thermal conductivity of diamond nanowires: A nonequilibrium molecular dynamics study
(20101231)Using nonequilibrium molecular dynamics methods, the analysis of geometry and temperature dependent thermal conductivities of diamond nanowires is carried out. It is found that at the same temperature conditions, thermal ... 
Geometry shapes propagation: Assessing the presence and absence of cortical symmetries through a computational model of cortical spreading depression
(20151231)Cortical spreading depression (CSD), a depolarization wave which originates in the visual cortex and travels toward the frontal lobe, has been suggested to be one neural correlate of aura migraine. To the date, little is ... 
Glioma invasion and its interplay with the nervous tissue: a multiscale model
(2019)A multiscale mathematical model for glioma cell migration and proliferation is proposed, taking into account a possible therapeutic approach. Starting with the description of processes taking place on the subcellular level, ... 
Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments
(20101231)In this paper, a logistic equation with multiple piecewise constant arguments is investigated in detail. We generalize the approach in two papers, [K. Uesugi, Y. Muroya, E. Ishiwata, On the global attractivity for a logistic ... 
Global dynamics of a cell mediated immunity in viral infection models with distributed delays
(20111231)In this paper, we investigate global dynamics for a system of delay differential equations which describes a virusimmune interaction in vivo. The model has two distributed time delays describing time needed for infection ... 
Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates
(20121231)In this paper, by constructing Lyapunov functionals, we consider the global dynamics of an SIRS epidemic model with a wide class of nonlinear incidence rates and distributed delays ∫ h 0 p(τ)f(S(t),I(t τ))dτ under the ... 
Global dynamics of a viral infection model with a latent period and BeddingtonDeAngelis response
(20111231)In this paper, we study the global dynamics of a viral infection model with a latent period. The model has a nonlinear function which denotes the incidence rate of the virus infection in vivo. The basic reproduction number ... 
Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates
(20121231)In this paper, by applying a variation of the backward Euler method, we propose a discretetime SIR epidemic model whose discretization scheme preserves the global asymptotic stability of equilibria for a class of corresponding ... 
Global dynamics of twocompartment models for cell production systems with regulatory mechanisms
(20131231)We present a global stability analysis of twocompartment models of a hierarchical cell production system with a nonlinear regulatory feedback loop. The models describe cell differentiation processes with the stem cell ... 
Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population
(20121231)In this paper, we propose a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population, which is derived from the continuous case by using the wellknown backward Euler method ... 
Global stability for a discrete SIS epidemic model with immigration of infectives
(20121231)In this paper, we propose a discretetime SIS epidemic model which is derived from continuoustime SIS epidemic models with immigration of infectives by the backward Euler method. For the discretized model, by applying new ... 
Global stability of a delayed SIRS epidemic model with a nonmonotonic incidence rate
(20111231)In this paper, we investigate a disease transmission model of SIRS type with latent period τ≥0 and the specific nonmonotone incidence rate, namely, For the basic reproduction number R0>1, applying monotone iterative ... 
Global stability of SIR epidemic models with a wide class of nonlinear incidence rates and distributed delays
(20111231)In this paper, we establish the global asymptotic stability of equilibria for an SIR model of infectious diseases with distributed time delays governed by a wide class of nonlinear incidence rates. We obtain the global ... 
Global stability of sirs epidemic models with a class of nonlinear incidence rates and distributed delays
(20121231)In this article, we establish the global asymptotic stability of a diseasefree equilibrium and an endemic equilibrium of an SIRS epidemic model with a class of nonlinear incidence rates and distributed delays. By using ... 
GrigorchukGuptaSidki groups as a source for Beauvile surfaces
(20200414)If $G$ is a GrigorchukGuptaSidki group defined over a $p$adic tree, where p is an odd prime, we study the existence of Beauville surfaces associated to the quotients of $G$ by its level stabilizers $st_G(n)$. We prove ... 
Hartman effect and weak measurements that are not really weak
(20111231)We show that in wave packet tunneling, localization of the transmitted particle amounts to a quantum measurement of the delay it experiences in the barrier. With no external degree of freedom involved, the envelope of the ... 
Hidden electronic rule in the "clusterplusglueAtom" model
(20161001)Electrons and their interactions are intrinsic factors to affect the structure and properties of materials. Based on the “clusterclusterplusglueatom” model, an electron counting rule for complex metallic alloys (CMAs) ... 
Higherorder nonlinear electromechanical effects in wurtzite GaN/AlN quantum dots
(20101231)As we demonstrated earlier, conventional mathematical models based on linear approximations may be inadequate in the analysis of properties of lowdimensional nanostructures and band structure calculations. In this work, ... 
How does radiofrequency ablation efficacy depend on the stiffness of the cardiac tissue? Insights from a computational model
(2019)Objective. Radiofrequency catheter ablation (RFCA) is an effective treatment for the elimination of cardiac arrhythmias, however it is not exempt from complications that can risk the patients’ life. The efficacy of the ... 
Hyperactivation of monocytes and macrophages in MCI patients contributes to the progression of Alzheimer's disease
(20211201)Background: Alzheimer’s disease (AD) is the most common neurodegenerative disease ultimately manifesting as clinical dementia. Despite considerable effort and ample experimental data, the role of neuroinflammation related ...