Homogeneous fragmentations describe the evolution of a unit mass that breaks down randomly into pieces as time passes. They can be thought of as continuous time analogs of a certain type of branching random walks, which suggests the use of time-discretization to shift known results from the theory of branching random walks to the fragmentation setting. In particular, this yields interesting inf...

The effectiveness of fine-needle aspiration (FNA) increases with the number of needle passes, but needle passes are also associated with increased risk of adverse events. The trade-off between needle passes and adequacy has not been well characterized. Clinical studies are limited because of their inherent variability and limited sample size. We developed mathematical models to compare the perf...

Most bacterial exported proteins cross the cytoplasmic membrane as unfolded polypeptides. However, little is known about how they fold during or after this process due to the difficulty in detecting folding intermediates. Here we identify cotranslational and posttranslational folding intermediates of a periplasmic protein in which the protein and DsbA, a periplasmic disulfide bond-forming enzym...

Methods which can be used to assess the chloride permeability of various types of concrete in a relatively short time are described. An electrical potential from 60-80 volt DC is applied either between a chloride solution ponded on a slab surface and the top of rebar mat, or between two faces at a core taken from a structure. The amount of chloride and sum of the electrical current which passes...