Geometry and mechanics have both a relevant role in determining the three-dimensional packing of $ 8 bubbles displayed similar foam structure. We assume that spatial arrangement obeys geometrical principle maximizing minimum mutual distance between bubble centroids. The compacted structure is then obtained by radially under constraint volume conservation. generate polygonal tiling on central sp...

The classical isoperimetric inequality in R states that the surface of smallest area enclosing a given volume is a sphere. We show that the least area surface enclosing two equal volumes is a double bubble, a surface made of two pieces of round spheres separated by a flat disk, meeting along a single circle at an angle of 120◦.

We briefly review the significance of quantum corrections in the total energy of systems with voids: bubble nuclei, atomic clusters and the inhomogeneous phase of neutron stars. It was suggested a long time ago that very large nuclei might not undergo a Coulomb explosion if they acquire a new topology, that of a bubble or a torus 1. When a void is formed, while the density and therefore the tot...

The standard treatment of altitude decompression sickness (aDCS) caused by nitrogen bubble formation is oxygen breathing and recompression. However, micro air bubbles (containing 79% nitrogen), injected into adipose tissue, grow and stabilize at 25 kPa regardless of continued oxygen breathing and the tissue nitrogen pressure. To quantify the contribution of oxygen to bubble growth at altitude, ...

Background: Nowadays, the optimization of the culture conditions in bioreactors is considered as an approach to produce secondary metabolites such as thebaine. Thebaine is the dominant alkaloid in Iranian poppy that is used as a precursor for the synthesis of analgesic compounds. Objective: Optimization of culture conditions of Papaver bracteatum adventitious roots in bioreactor for the scale...

We present the results of our large scale 4-dimensional (4d) lattice simulations for the MSSM electroweak phase transition (EWPT). We carried out infinite volume and continuum limit extrapolations and found a transition whose strength agrees well with perturbation theory. We determined the properties of the bubble wall that are important for a successful baryogenesis.

BACKGROUND Thousands of air bubbles enter the cerebral circulation during cardiac surgery, but whether high numbers of bubbles explain post-operative cognitive decline is currently controversial. This study estimates the size distribution of air bubbles and volume of air entering the cerebral arteries intra-operatively based on analysis of transcranial Doppler ultrasound data. METHODS Transcr...

The classical isoperimetric inequality in R3 states that the surface of smallest area enclosing a given volume is a sphere. We show that the least area surface enclosing two equal volumes is a double bubble, a surface made of two pieces of round spheres separated by a flat disk, meeting along a single circle at an angle of 120.

The classical isoperimetric inequality states that the surface of smallest area enclosing a given volume in R3 is a sphere. We show that the least area surface enclosing two equal volumes is a double bubble, a surface made of two pieces of round spheres separated by a flat disk, meeting along a single circle at an angle of 2π/3.

We present a model of the global methane inventory as hydrate and bubbles below the sea floor. The model predicts the inventory of CH(4) in the ocean today to be approximately 1600-2,000 Pg of C. Most of the hydrate in the model is in the Pacific, in large part because lower oxygen levels enhance the preservation of organic carbon. Because the oxygen concentration today may be different from th...