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Center manifold analysis of a DDE model of gene expression     Delay  DDE  Center manifold  Hopf bifurcation  Gene transcription       font style='font-size:12px;'> 2015/8/27
We use center manifold theory to analyze a model of gene transcription and protein synthesis which consists of an ordinary differential equation (ODE) coupled to a delay differential equation (DDE). T...
The sinoatrial (SA) node is a group of self-oscillatory cells in the heart which beat rhythmi-cally and initiate electric potentials, producing a wave of contraction that travels through the heart res...
Origin of arrhythmias in a heart model     Nonlinear vibrations  Cardiology  Relaxation oscillations       font style='font-size:12px;'> 2015/8/27
An investigation of the nonlinear dynamics of a heart model is presented. The model com-partmentalizes the heart into one part that beats autonomously (the x oscillator), repre-senting the pacemaker o...
A simple one dimensional glassy Kac model     Random rotation model  sparse  numerical analysis  random       font style='font-size:12px;'> 2015/8/21
We define a new family of random spin models with one-dimensional structure, finite-range multi-spin interactions, and bounded average degree (number of interactions in which each spin participates). ...
A finite element model of localized deformation in frictional materials taking a strong discontinuity approach is presented. A rate-independent, non-associated, strain-softening Drucker-Prager plastic...
This paper presents a fnite element model for strain localization analysis of elastoplastic solids subjected to discontinuous displacement felds based on standard Galerkin approximation. Strain enhanc...
The unstructured-grid SUNTANS model is applied to San Francisco Bay using a grid with an average resolution of 50 m. This accurately resolves tidal hydrodynamics in a domain that extends from the Paci...
In this paper we present a radiometric block adjustment method that is related to geometric block adjustment and to the concept of a terrain Digital Radiometric Model (DRM) as a complement to the terr...
Numerical simulation of airfoil flows with a turbulence model     turbulence  airfoil incompressible  separation  openFOAM       font style='font-size:12px;'> 2014/5/15
Turbulent flows over AS240 and NACA4412 airfoil were simulated numerically using a two-equation turbulence model named k-ξ model. The predictions of velocity profiles and the pressure coefficient of a...
The concept of a bounded confidence level is incorporated in a nonconservative kinetic exchange model of opinion dynamics model where opinions have continuous values $\in [-1,1]$. The characteristics ...
Heat flux modulation in domino dynamo model     Heat flux modulation  domino dynamo model  Fluid Dynamics       font style='font-size:12px;'> 2012/4/24
Using domino dynamo model we show how variations of the heat flux at the core-mantle boundary change frequency of geomagnetic field reversals. In fact, we are able to demonstrate effect known from the...
Dyson's Brownian motion model is a one-parameter family of log-potential interacting particle systems in one dimension parametrized by an inverse temperature beta > 0. When beta = 1, 2 and 4, this mod...
Shell model of superfluid turbulence     Shell model  superfluid turbulence  Kelvin wave cascade  phonon emission       font style='font-size:12px;'> 2011/8/18
Abstract: Superfluid helium consists of two inter-penetrating fluids, a viscous normal fluid and an inviscid superfluid, coupled by a mutual friction. We develop a two-fluid shell model to study super...
Abstract: We study a particle model for a simple system of partial differential equations describing, in dimension $d\geq 2$, a two component mixture where light particles move in a medium of absorbin...
Abstract: We introduce a family of probabilistic {\it scale-invariant} Leibniz-like pyramids and $(d+1)$-dimensional hyperpyramids ($d=1,2,3,...$), characterized by a parameter $\nu>0$, whose value de...

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