Approximate Discrete Probability Distribution Representation using a Multi-ResolutionBinary Tree

Computing and storing probabilities is a hard problem as soon as one has to deal with complex distributions over multiples random variables. The problem of efficient representation of probability distributions is central in term of computational efficiency in the field of probabilistic reasoning. The main problem arises when dealing with joint probability distributions over a set of random variables: they are always represented using huge probability arrays. In this paper, a new method based on a binary-tree representation is introduced in order to store efficiently very large joint distributions. Our approach approximates any multidimensional joint distributions using an adaptive discretization of the space. We make the assumption that the lower is the probability mass of a particular region of feature space, the larger is the discretization step. This assumption leads to a very optimized representation in term of time and memory. The other advantages of our approach are the ability to refine dynamically the distribution every time it is needed leading to a more accurate representation of the probability distribution and to an anytime representation of the distribution

Prostaglandins antagonistically control Bax activation during apoptosis

The Bax protein (Bcl-2-associated X protein) is pivotal for the apoptotic process. Bax, which resides in an inactive form in the cytosol of healthy cells, is activated during the early stages of apoptosis and becomes associated with mitochondria through poorly understood mechanisms. In this study, we show that a family of bioactive lipids, namely prostaglandins, regulates Bax-dependent apoptosis. The prostaglandin E2 (PGE2) or its derivative PGA2 binds to Bax, induces its change of conformation, and thereby triggers apoptosis. A cysteine present in the loop between the two transmembrane α-helices of Bax, Cys126 is critical for its activation. PGD2 inhibits PGE2 binding to Bax and PGE2-induced apoptosis, as well as cell death induced by staurosporine and UV-B in various cell lines. This result is consistent with the fact that apoptosis is accompanied during these treatments by an increase in PGE2. This process is distinct, yet cooperative, from that involving the BH3-only protein Bid. Our results establish that the PGE2/PGD2 balance is involved in a new early mechanism of control in the activation of Bax during apoptosis

Natural Glasses

International audienceNatural glasses have been used since prehistoric times and are strongly linked to human evolution. On Earth, glasses are typically produced by rapid cooling of melts, and as in the case of minerals and rocks, natural glasses can provide key information on the evolution of the Earth. However, we are aware that natural glasses are products that are not solely terrestrial and that the formation mechanisms give rise to a variety of natural amorphous materials. On the Earth's surface, glasses are scarce compared to other terrestrial bodies (i. e., the Moon), since the conditions on the surface give rise to devitrification or weathering. In order to provide an exhaustive overview, we shall classify natural glasses based on the mechanisms by which they were formed: temperature related, temperaturepressure related, temperature-pressure-volatile related, and others. In this chapter, we will review the most common natural glasses and their technological applications and also the scientific and technological advancements achieved from the study of these natural amorphous materials. Finally, we will provide some insights into the structure and properties of natural glasses and melts