Thermodynamics of an interacting trapped Bose-Einstein gas in the classical field approximation

We present a convenient technique describing the condensate in dynamical equilibrium with the thermal cloud, at temperatures close to the critical one. We show that the whole isolated system may be viewed as a single classical field undergoing nonlinear dynamics leading to a steady state. In our procedure it is the observation process and the finite detection time that allow for splitting the system into the condensate and the thermal cloud.Comment: 4 pages, 4 eps figures, final versio

The asymptotic values of a polynomial function on the real plane.

Let a polynomial function f of two real variables be given. We prove the existence of a finite number of unbounded regions of the real plane along which the tangent planes to the graph of f tend to horizontal position, when moving away from the origin. The real limit values of this function on these regions are called asymptotic values. We also define the real critical values at infinity of f and prove the theorem of local trivial fibration at infinity, away from these values

Recruitment of the yeast MADS-box proteins, ArgRI and Mcm1 by the pleiotropic factor ArgRIII is required for their stability

Regulation of arginine metabolism requires the integrity of four regulatory proteins, ArgRI, ArgRII, ArgRIII and Mcm1. To characterize further the interactions between the different proteins, we used the two-hybrid system, which showed that ArgRI and Mcm1 interact together, and with ArgRII and ArgRIII, without an arginine requirement. To define the interacting domains of ArgRI and Mcm1 with ArgRIII, we fused portions of ArgRI and Mcm1 to the DNA-binding domain of Gal4 (GBD) and created mutations in GBD-ArgRI and GBD-Mcm1. The putative alpha helix present in the MADS-box domain of ArgRI and Mcm1 is their major region of interaction with ArgRIII. Interactions between the two MADS-box proteins and ArgRIII were confirmed using affinity chromatography. The requirement for ArgRIII in the control of arginine metabolism can be bypassed in vitro as well as in vivo by overproducing ArgRI or Mcm1, which indicates that ArgRIII is not present in the protein complex formed with the 'arginine boxes'. We show that the impairment of arginine regulation in an argRIII deletant strain is a result of a lack of stability of ArgRI and Mcm1. A mutation in ArgRI, impairing its interaction with ArgRIII, leads to an unstable ArgRI protein in a wild-type strain. ArgRIII integrity is crucial for Mcm1 function, as shown by the marked decreased expression of five genes controlled by Mcm1. However, ArgRIII is likely to recruit other proteins in the yeast cell, as overexpression of Mcm1 does not compensate some physiological defects observed in an argRIII deletant strain.Journal ArticleResearch Support, Non-U.S. Gov'tSCOPUS: ar.jFLWINinfo:eu-repo/semantics/publishe

Gef1p, a New Guanine Nucleotide Exchange Factor for Cdc42p, Regulates Polarity in Schizosaccharomyces pombe

Schizosaccharomyces pombe cdc42(+) regulates cell morphology and polarization of the actin cytoskeleton. Scd1p/Ral1p is the only described guanine nucleotide exchange factor (GEF) for Cdc42p in S. pombe. We have identified a new GEF, named Gef1p, specifically regulating Cdc42p. Gef1p binds to inactive Cdc42p but not to other Rho GTPases in two-hybrid assays. Overexpression of gef1(+) increases specifically the GTP-bound Cdc42p, and Gef1p is capable of stimulating guanine nucleotide exchange of Cdc42p in vitro. Overexpression of gef1(+) causes changes in cell morphology similar to those caused by overexpression of the constitutively active cdc42G12V allele. Gef1p localizes to the septum. gef1(+) deletion is viable but causes a mild cell elongation and defects in bipolar growth and septum formation, suggesting a role for Gef1p in the control of cell polarity and cytokinesis. The double mutant gef1Δ scd1Δ is not viable, indicating that they share an essential function as Cdc42p activators. However, both deletion and overexpression of either gef1(+) or scd1(+) causes different morphological phenotypes, which suggest different functions. Genetic evidence revealed a link between Gef1p and the signaling pathway of Shk1/Orb2p and Orb6p. In contrast, no genetic interaction between Gef1p and Shk2p-Mkh1p pathway was observed