We exploit recent advances in computational topology to study the compressibility of various proteins found in the Protein Data Bank (PDB). Our fundamental tool is the persistence diagram, a topological invariant which captures the sizes and robustness of geometric features such as tunnels and cavities in protein molecules. Based on certain physical and chemical properties conjectured to impact...

The stability of an infinitely long, inviscid but compressible liquid jet under sinusoidal disturbances of the surface, still assumed to be sharp, is considered. This extends Rayleigh's theory. We show that despite compressibility the unstable region is /.> kc = 2na (/. wavelength, a radius) as Rayleigh's criterion for incompressible liquids states. The character of the unstable long wavelength...

We numerically investigate the effect of non-condensable gas inside a vapor bubble on dynamics, collapse pressure and impact spherical aspherical collapses. Free has damping that can weaken wave enhance rebound. To estimate this numerically, we derive validate multi-component model for bubbles containing gas. For cavitating liquid gas, employ homogeneous mixture with coupled equation state all ...

Incompressible fields are of special importance in elec-todynamics, fluid mechanics, and quantum mechanics. We shall derive a few expressions for such fields in a Riemannian manifold, and show how to generate an incompressible field from an arbitrary set of scalar functions. The concept of compressibility removing factors of an arbitrary vector field is introduced and utilized to obtain from an...

The Auxiliary Field Diffusion Monte Carlo method is applied to compute the spin susceptibility and the compressibility of neutron matter at zero temperature. Results are given for realistic interactions which include both a two–body potential of the Argonne type and the Urbana IX three–body potential. Simulations have been carried out for about 60 neutrons. We find an overall reduction of the s...

The ultrasonic velocity (U), density ( ρ) and viscosity (η) measurements have been carried out for four amino acids namely L-alanine, L-leucine, L-valine and L-proline in aqueous sodium acetate solution as a function of composition at 303, 308 and 313K. Experimental data have been used to estimate the adiabatic compressibility (β), change in adiabatic compressibility (∆β), relative change in ad...

A study of heel-pad thickness and compressibility using lateral radiographs, loaded and unloaded by body-weight, was carried out on 70 patients with plantar heel pain and 200 normal subjects. The heel-pad thickness and the compressibility index (resistance to compression) were greater in the patients than in normal subjects and significantly increased with age. In normal subjects, the thickness...

As a dynamic property of folded proteins, protein compressibility provides important information about the forces that govern structural stability. We relate intrinsic compressibility to stability by using molecular dynamics to identify a molecular basis for the variation in compressibility among globular proteins. We find that excess surface charge accounts for this variation not only for the ...

Landfills settle due to its weight and biodegradation of waste. Biodegradation-induced settlement is a direct result of rearrangement of waste skeleton in response to the conversion of waste mass into landfill gases. Traditionally, the compressibility index based on settlement of clays is used to explain the settlement of waste. Literature review showed that there are limited research attempts ...

The link-wise artificial compressibility method (LW-ACM) is a recent formulation of the artificial compressibility method for solving the incompressible Navier– Stokes equations. Two implementations of the LW-ACM in three dimensions on CUDA enabled GPUs are described. The first one is a modified version of a stateof-the-art CUDA implementation of the lattice Boltzmann method (LBM), showing that...