In the classic theory of elastic rods, two non-adjacent points along the rod may upon contact occupy the same physical space. We develop an elastic rod model with a pairwise repulsive potential such that if two non-adjacent points along the rod are close in physical space, there is an energy barrier that prevents contact. For adjacent pairs, the repulsive potential is negligible and the elastic...

The manifold array of saccharide linkages leads to a great variety polysaccharide architectures, comprising three conformations in aqueous solution: compact sphere, random coil, and rigid rod. This conformational variation limits the suitability commonly applied molecular weight cut-off (MWCO) as selection criteria for ultrafiltration membranes, it is based on globular marker proteins with narr...

Electrostatic potential as well as the local volume charge density are computed for a macromolecule by solving the Poisson-Boltzmann equation (PBE) using the finite element method (FEM). As a verification, our numerical results for a one dimensional PBE, which corresponds to an infinite-length macromolecule, are compared with the existing analytical solution and good agreement is found. As a ma...

the third order term in the density functional is required for study of an inhomogeneous fluid. this term can be chosen such that, the thermodynamic potential gives the correct bulk pressure. the density porofile of a hard sphere fluid near hard wall which is an inhomogeneous fluid is obtained and it is shown that, if the third order term is ignored, although an exact bulk direct correlation fu...

We study the simultaneous semi-classical and adiabatic asymptotics for a class of (weakly) nonlinear Schrödinger equations with a fast periodic potential and a slowly varying confinement potential. A rigorous two-scale WKB–analysis, locally in time, is performed. The main nonlinear phenomenon is a modification of the Berry phase.

Gap solitons near a band edge of a spatially periodic nonlinear PDE can be formally approximated by solutions of Coupled Mode Equations (CMEs). Here we study this approximation for the case of the 2D Periodic Nonlinear Schrödinger / Gross-Pitaevsky Equation with a non-separable potential of finite contrast. We show that unlike in the case of separable potentials [T. Dohnal, D. Pelinovsky, and G...

In their paper, Nikogosian and Kickbusch show how the effects of the adoption by the World Health Organization (WHO) of the Framework Convention on Tobacco Control (WHO FCTC) and its first Protocol extend beyond tobacco control and contribute to public health governance more broadly, by revealing new processes, institutions and instruments. While there are certainly good reasons to be optimisti...