Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Issue Date
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Numerical equilibrium analysis for structured consumer resource models
(Bulletin of Mathematical Biology, 20101231)In this paper, we present methods for a numerical equilibrium and stability analysis for models of a size structured population competing for an unstructured resource. We concentrate on cases where two model parameters are ... 
Influence of electromechanical effects and wetting layers on band structures of AlN/GaN quantum dots and spin control
(Journal of Applied Physics, 20101231)In a series of recent papers we demonstrated that coupled electromechanical effects can lead to pronounced contributions in band structure calculations of low dimensional semiconductor nanostructures (LDSNs) such as quantum ... 
Band structures of laterally coupled quantum dots, accounting for electromechanical effects
(Journal of Physics: Conference Series, 20101231)In a series of recent papers we demonstrated that coupled electromechanical effects can lead to pronounced contributions in band structure calculations of low dimensional semiconductor nanostructures (LDSNs) such as quantum ... 
Manipulation of single electron spin in a GaAs quantum dot through the application of geometric phases: The Feynman disentangling technique
(Physical Review B  Condensed Matter and Materials Physics, 20101231)The spin of a single electron in an electrically defined quantum dot in a twodimensional electron gas can be manipulated by moving the quantum dot adiabatically in a closed loop in the twodimensional plane under the ... 
Higherorder nonlinear electromechanical effects in wurtzite GaN/AlN quantum dots
(Journal of Physics Condensed Matter, 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, ... 
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 ... 
Coarsegraining RNA nanostructures for molecular dynamics simulations
(Physical Biology, 20101231)A series of coarsegrained models have been developed for study of the molecular dynamics of RNA nanostructures. The models in the series have one to three beads per nucleotide and include different amounts of detailed ... 
Complex systems in finance: Monte Carlo evaluation of first passage time density functions
(Procedia Computer Science, 20101231)Many examples of complex systems are provided by applications in finance and economics areas. Some of intrinsic features of such systems lie with the fact that their parts are interacting in a nontrivial dynamic manner ... 
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 ... 
Band structures of cylindrical AlN/GaN quantum dots with fully coupled piezoelectric models
(Proceedings of SPIE  The International Society for Optical Engineering, 20101231)We study the coupled electromechanical effects in the band structure calculations of low dimensional semiconductor nanostructures (LDSNs) such as AlN/GaN quantum dots. Some effects in these systems are essentially nonlinear. ... 
Breast cancer dormancy can be maintained by small numbers of micrometastases
(Cancer Research, 20101231)Late relapse of breast cancer can occur more than 25 years after primary diagnosis. During the intervening years between initial treatment and relapse, occult cancers are maintained in an apparent state of dormancy that ... 
Microstructures of constrained shape memory alloy nanowires under thermal effects
(ASME 2010 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS 2010, 20101231)In this paper, martensitic transformations in constrained FePd nanowires are studied using a mesoscopic model analyzed in detail numerically in our earlier papers. The dynamics of squaretorectangular transformation is ... 
Numerical analysis of complex systems evolution with phase transformations at different spatial scales
(CivilComp Proceedings, 20101231)This paper shows the existence of a critical dimension for finite length nanowires exhibiting shape memory effects. We give a brief survey of phase transformations, their classifications, and provide the basis of mathematical ... 
Spinorbit interaction in threedimensionally bounded semiconductor nanostructures
(New Journal of Physics, 20101231)The structural inversion asymmetryinduced spinorbit interaction of conduction band electrons in zincblende and wurtzite semiconductor structures is analysed allowing for a threedimensional (3D) character of the external ... 
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 ... 
Molecular dynamics study on diamond nanowires mechanical properties: Strain rate, temperature and size dependent effects
(Diamond and Related Materials, 20111231)Using molecular dynamics simulations, strain rate, temperature and size dependent mechanical properties of < 001 > orientation diamond nanowires are investigated. It is found that, for the same crosssectional areas, ... 
Chemicalgarden formation, morphology, and composition. II. Chemical gardens in microgravity
(Langmuir, 20111231)We studied the growth of metalion silicate chemical gardens under Earth gravity (1 g) and microgravity (μg) conditions. Identical sets of reaction chambers from an automated system (the Silicate Garden Habitat or SGHab) ... 
Chemicalgarden formation, morphology, and composition. I. Effect of the nature of the cations
(Langmuir, 20111231)We have grown chemical gardens in different sodium silicate solutions from several metalion saltscalcium chloride, manganese chloride, cobalt chloride, and nickel sulfatewith cations from period 4 of the periodic table. ... 
Classification of resonance Regge trajectories and a modified Mulholland formula
(Physics Letters, Section A: General, Atomic and Solid State Physics, 20111231)We employ a simple potential model to analyze the effects which a Regge trajectory, correlating with a bound or a metastable state at zero angular momentum, has on an integral cross section. A straightforward modification ... 
Global stability of SIR epidemic models with a wide class of nonlinear incidence rates and distributed delays
(Discrete and Continuous Dynamical Systems  Series B, 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 ...