Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Title
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Effect of Tissue Elasticity in Cardiac Radiofrequency Catheter Ablation Models
(2018)Radiofrequency catheter ablation (RFCA) is an effective treatment for different types of cardiac arrhythmias. However, major complications can occur, including thrombus formation and steam pops. We present a full 3D ... 
Electrochemical Potential Derived from Atomic Cluster Structures
(Journal of Physical Chemistry Letters, 20160101)Based on the atomic cluster structures and free electron approximation model, it is revealed that the electrochemical potential (ECP) for the system of interest is proportional to the reciprocal of atomic cluster radius ... 
Enhancing sampling in atomistic simulations of solid state materials for batteries: a focus on olivine NaFePO$_4$
(Theoretical Chemistry Accounts, 20170307)The study of ion transport in electrochemically active materials for energy storage systems requires simulations on quantum, atomistic and mesoscales. The methods accessing these scales not only have to be effective but ... 
Enhancing Sampling in Computational Statistics Using Modified Hamiltonians
(20161115)The Hamiltonian Monte Carlo (HMC) method has been recognized as a powerful sampling tool in computational statistics. In this thesis, we show that performance of HMC can be dramatically improved by replacing Hamiltonians ... 
Estimation of agespecific rates of reactivation and immune boosting of the varicella zoster virus
(Epidemics, 20161231)Studies into the impact of vaccination against the varicella zoster virus (VZV) have increasingly focused on herpes zoster (HZ), which is believed to be increasing in vaccinated populations with decreasing infection pressure. ... 
An even simpler understanding of quantum weak values
(Annals of Physics, 201801)We explain the properties and clarify the meaning of quantum weak values using only the basic notions of elementary quantum mechanics. 
Excitation of plasmons in a twodimensional electron gas with defects by microwaves: Wakefield method
(Physical Review B  Condensed Matter and Materials Physics, 20111231)We develop an analytical method to find plasmons generated by microwaves in a twodimensional electron gas with defects. The excitations are expressed in terms of the wake field of a charged particle moving in plasma. The ... 
The Experiment Data Depot: A WebBased Software Tool for Biological Experimental Data Storage, Sharing, and Visualization
(ACS Synthetic Biology, 20170930)Although recent advances in synthetic biology allow us to produce biological designs more efficiently than ever, our ability to predict the end result of these designs is still nascent. Predictive models require large ... 
Extracting Smatrix poles for resonances from numerical scattering data: TypeII Padé reconstruction
(Computer Physics Communications, 20111231)We present a FORTRAN 77 code for evaluation of resonance pole positions and residues of a numerical scattering matrix element in the complex energy (CE) as well as in the complex angular momentum (CAM) planes. Analytical ... 
Extreme brain events: Higherorder statistics of brain resting activity and its relation with structural connectivity
(EPL, 20151231)The brain exhibits a wide variety of spatiotemporal patterns of neuronal activity recorded using functional magnetic resonance imaging as the socalled bloodoxygenatedleveldependent (BOLD) signal. An active area of work ... 
FluxEnabled Exploration of the Role of Sip1 in Galactose Yeast Metabolism
(Frontiers in Bioengineering and Biotechnology, 20170531)13C metabolic flux analysis (13C MFA) is an important systems biology technique that has been used to investigate microbial metabolism for decades. The heterotrimer Snf1 kinase complex plays a key role in the preference ... 
From chemical gardens to chemobrionics
(Chemical Reviews, 20151231)Chemical gardens in laboratory chemistries ranging from silicates to polyoxometalates, in applications ranging from corrosion products to the hydration of Portland cement, and in natural settings ranging from hydrothermal ... 
Functional connectivity of EEG signals under laser stimulation in migraine
(Frontiers in Human Neuroscience, 20151231)In previous studies, migraine patients showed abnormalities in painrelated evoked responses, as reduced habituation to repetitive stimulation. In this study, we aimed to apply a novel analysis of EEG bands synchronization ... 
Geometry and temperature dependent thermal conductivity of diamond nanowires: A nonequilibrium molecular dynamics study
(Physica E: LowDimensional Systems and Nanostructures, 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
(Frontiers in Computational Neuroscience, 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 ... 
Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments
(Nonlinear Analysis, Theory, Methods and Applications, 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
(Journal of Mathematical Analysis and Applications, 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
(Journal of Applied Mathematics and Computing, 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
(Nonlinear Analysis, Theory, Methods and Applications, 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
(Journal of Difference Equations and Applications, 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 ...