Coincidence Wecken homotopies versus Wecken homotopies relative to a fixed homotopy in one of the maps

We study the 1-parameter Wecken problem versus the restricted Wecken problem, for coincidence free pairs of maps between surfaces. For this we use properties of the function space between two surfaces and of the pure braid group on two strings of a surface. When the target surface is either the 2-sphere or the torus it is known that the two problems are the same. We classify most pairs of homotopy classes of maps according to the answer of the two problems are either the same or different when the target is either projective space or the Klein bottle. Some partial results are given for surfaces of negative Euler characteristic. (C) 2010 Elsevier B.V. All rights reserved.

Local power of some tests in exponential family nonlinear models

In this paper we obtain asymptotic expansions up to order n(-1/2) for the nonnull distribution functions of the likelihood ratio, Wald, score and gradient test statistics in exponential family nonlinear models (Cordeiro and Paula, 1989), under a sequence of Pitman alternatives. The asymptotic distributions of all four statistics are obtained for testing a subset of regression parameters and for testing the dispersion parameter, thus generalising the results given in Cordeiro et al. (1994) and Ferrari et al. (1997). We also present Monte Carlo simulations in order to compare the finite-sample performance of these tests. (C) 2010 Elsevier B.V. All rights reserved.

The Molecular Chaperone Hsp70 Family Members Function by a Bidirectional Heterotrophic Allosteric Mechanism

The Hsp70 family is one of the most important and conserved molecular chaperone families. It is well documented that Hsp70 family members assist many cellular processes involving protein quality control, as follows: protein folding, transport through membranes, protein degradation, escape from aggregation, intracellular signaling, among several others. The Hsp70 proteins act as a cellular pivot capable of receiving and distributing substrates among the other molecular chaperone families. Despite the high identity of the Hsp70 proteins, there are several homologue Hsp70 members that do not have the same role in the cell, which allow them to develop and participate in such large number of activities. The Hsp70 proteins are composed of two main domains: one that binds ATP and hydrolyses it to ADP and another which directly interacts with substrates. These domains present bidirectional heterotrophic allosteric regulation allowing a fine regulated cycle of substrate binding and release. The general mechanism of the Hsp70s cycle is under the control of ATP hydrolysis that modulates the low (ATP-bound state) and high (ADP-bound state) affinity states of Hsp70 for substrates. An important feature of the Hsp70s cycle is that they have several co-chaperones that modulate their cycle and that can also interact and select substrates. Here, we review some known details of the bidirectional heterotrophic allosteric mechanism and other important features for Hsp70s regulating cycle and function.