On an integration rule for products of barycentric coordinates over simplexes in Rⁿ

In finite-element computations, one often needs to calculate integrals of products of powers of monomials over simplexes. In this manuscript, we prove a generalisation of the exact integration formula that was reported and proved for two-dimensional simplexes by Holand & Bell in 1969. We extend the proof to n-dimensional simplexes and to...

Sequence features of viral and human Internal Ribosome Entry Sites predictive of their activity

Translation of mRNAs through Internal Ribosome Entry Sites (IRESs) has emerged as a prominent mechanism of cellular and viral initiation. It supports cap-independent translation of select cellular genes under normal conditions, and in conditions when cap-dependent translation is inhibited. IRES structure and sequence are believed to be...

A pilot study of a phenomenological model of adipogenesis in maturing adipocytes using Cahn–Hilliard theory

We consider the accumulation and formation of lipid droplets in an adipocyte cell. The process incorporates adipose nucleation (adipogenesis) and growth. At later stages, there will be merging of droplets and growth of larger droplets at the expense of the smaller droplets, which will essentially undergo lipolysis. The process is modeled by the...

Roll damping qualities of constructive stabilizers

Finite-element model for phase-change recording

The finite-element method is applied to model phase-change recording in a grooved recording stack. A rigorous model for the scattering of a three-dimensional focused spot by a one-dimensional periodic grating is used to determine the absorbed light in a three-dimensional region inside the phase-change layer. The optical model is combined with a...

Hydrodynamic characteristics of propeller blades in curvilinear motion

Hydrodynamic characteristics of wings in circular motion

Computation of turbulent flow in general domains

Finite-Volume Computation of Incompressible Turbulent Flows in General Coordinates on Staggered Grids

Invariant discretization of the - model in general co-ordinates for prediction of turbulent flow in complicated geometries

Benchmark Solutions for the Incompressible Navier-Stokes Equations in General Coordinates on Staggered Grids

Invariant Discretization of the Incompressible Navier-Stokes Equations in Boundary Fitted Coordinates

The Isnas Incompressible Navier-Stokes Solver - Invariant Discretization