The aim of our work is to study the effect of geometry variation on nucleation times and to address its role in the context of eukaryotic chemotaxis (i.e. the process which allows cells to identify and follow a gradient of chemical attractant). As a first step in this direction we study the nucleation dynamics of the 2d Ising model defined on a cylindrical lattice whose radius changes as a func...

The focusing characteristics of 2D-Cylindrical Electromagnetic Band Gap (CEBG) structures constituted of metallic wires and with defects are analyzed numerically for directive antennas application. The introduction of defects into the periodic structures consists of removing one or multiple wires. The simulations were carried out with a Finite Difference Time Domain (FDTD) code, where the excit...

In this paper, we present an analytical double-series solution for the time-dependent asymmetric heat conduction in a multilayer annulus. In general, analytical solutions in multidimensional Cartesian or cylindrical r , z coordinates suffer from existence of imaginary eigenvalues and thus may lead to numerical difficulties in computing analytical solution. In contrast, the proposed analytical s...

In recent years, with the development of automated microscopy technologies, the volume and complexity of image data on gene expression have increased tremendously. The only way to analyze quantitatively and comprehensively such biological data is by developing and applying new sophisticated mathematical approaches. Here, we present extensions of 2D singular spectrum analysis (2D-SSA) for applic...

Let A be a set of trivariate irreducible integral polynomials and let D be an A-invariant cylindrical algebraic decomposition (cad) of three-dimensional space. This paper presents a new algorithm for determining the interstack adjacencies in D over a given non-nullifying (for A) 0-cell, 1-cell adjacency in the cad D 0 of the plane induced by D. We show that this new adjacency algorithm for thre...

Large-scale Monte Carlo simulations are presented for a coarse-grained model of cylindrical molecular brushes adsorbed on a flat structureless substrate, varying both the chain length N of the side chains and the backbone chain length N(b). For the case of good solvent conditions, both the cases of weak adsorption (only 10 to 15% of the monomers being bound to the surface) and strong adsorption...

The acoustic radiation force resulting from a 2D focused Gaussian beam incident on cylindrical objects in an inviscid fluid is investigated analytically. The incident and the reflected sound fields are expressed in terms of cylindrical wave functions and a weighting parameter, describing the beam shape and its location relative to the particle. Our main interest here is to study the possibility...

In this paper, an arbitrary Lagrangian Eulerian (ALE) based numerical method has been presented for the numerical simulation of gas-particle two phase flow with moving boundaries. The main stages for the implementation of the algorithm have been discussed. The numerical results of cylindrical implosion and 2D dusty gas explosion have shown the effectiveness of the method.

The eeective energy of a mixture of two elastic materials in a thin lm is characterized using Gamma-limit techniques. For cylindrical shaped inclusions it is shown that 3D-2D asymptotics and optimal design commute from a variational viewpoint. Regularity of local minimizers for the resulting design is addressed.