Geometry of circular vectors and pattern recognition of shape of a boundary

This paper deals with pattern recognition of the shape of the boundary of closed figures on the basis of a circular sequence of measurements taken on the boundary at equal intervals of a suitably chosen argument with an arbitrary starting point. A distance measure between two boundaries is defined in such a way that it has zero value when the associated sequences of measurements coincide by shifting the starting point of one of the sequences. Such a distance measure, which is invariant to the starting point of the sequence of measurements, is used in identification or discrimination by the shape of the boundary of a closed figure. The mean shape of a given set of closed figures is defined, and tests of significance of differences in mean shape between populations are proposed.

Twist grain boundaries in three-dimensional lamellar Turing structures

Steady spatial self-organization of three-dimensional chemical reaction-diffusion systems is discussed with the emphasis put on the possible defects that may alter the Turing patterns. It is shown that one of the stable defects of a three-dimensional lamellar Turing structure is a twist grain boundary embedding a Scherk minimal surface.

Pax6 is essential for establishing ventral-dorsal cell boundaries in pituitary gland development

Pax6, a highly conserved member of the paired homeodomain transcription factor family that plays essential roles in ocular, neural, and pancreatic development and effects asymmetric transient dorsal expression during pituitary development, with its expression extinguished before the ventral → dorsal appearance of specific cell types. Analysis of pituitary development in the Small eye and Pax6 −/− mouse mutants reveals that the dorsoventral axis of the pituitary gland becomes ventralized, with dorsal extension of the transcriptional determinants of ventral cell types, particularly PFrk. This ventralization is followed by a marked decrease in terminally differentiated dorsal somatotrope and lactotrope cell types and a marked increase in the expression of markers of the ventral thyrotrope cells and SF-1-expressing cells of gonadotrope lineage. We suggest that the transient dorsal expression of Pax6 is essential for establishing a sharp boundary between dorsal and ventral cell types, based on the inhibition of Shh ventral signals.

Pharmacologic shifting of a balance between protein refolding and degradation mediated by Hsp90

The role of the abundant stress protein Hsp90 in protecting cells against stress-induced damage is not well understood. The recent discovery that a class of ansamycin antibiotics bind specifically to Hsp90 allowed us to address this problem from a new angle. We find that mammalian Hsp90, in cooperation with Hsp70, p60, and other factors, mediates the ATP-dependent refolding of heat-denatured proteins, such as firefly luciferase. Failure to refold results in proteolysis. The ansamycins inhibit refolding, both in vivo and in a cell extract, by preventing normal dissociation of Hsp90 from luciferase, causing its enhanced degradation. This mechanism also explains the ansamycin-induced proteolysis of several protooncogenic protein kinases, such as Raf-1, which interact with Hsp90. We propose that Hsp90 is part of a quality control system that facilitates protein refolding or degradation during recovery from stress. This function is used by a limited set of signal transduction molecules for their folding and regulation under nonstress conditions. The ansamycins shift the mode of Hsp90 from refolding to degradation, and this effect is probably amplified for specific Hsp90 substrates.

Intron positions correlate with module boundaries in ancient proteins

We analyze the three-dimensional structure of proteins by a computer program that finds regions of sequence that contain module boundaries, defining a module as a segment of polypeptide chain bounded in space by a specific given distance. The program defines a set of “linker regions” that have the property that if an intron were to be placed into each linker region, the protein would be dissected into a set of modules all less than the specified diameter. We test a set of 32 proteins, all of ancient origin, and a corresponding set of 570 intron positions, to ask if there is a statistically significant excess of intron positions within the linker regions. For 28-Å modules, a standard size used historically, we find such an excess, with P < 0.003. This correlation is neither due to a compositional or sequence bias in the linker regions nor to a surface bias in intron positions. Furthermore, a subset of 20 introns, which can be putatively identified as old, lies even more explicitly within the linker regions, with P < 0.0003. Thus, there is a strong correlation between intron positions and three-dimensional structural elements of ancient proteins as expected by the introns-early approach. We then study a range of module diameters and show that, as the diameter varies, significant peaks of correlation appear for module diameters centered at 21.7, 27.6, and 32.9 Å. These preferred module diameters roughly correspond to predicted exon sizes of 15, 22, and 30 residues. Thus, there are significant correlations between introns, modules, and a quantized pattern of the lengths of polypeptide chains, which is the prediction of the “Exon Theory of Genes.”

Flows of knowledge from universities and federal laboratories: Modeling the flow of patent citations over time and across institutional and geographic boundaries

The extent to which new technological knowledge flows across institutional and national boundaries is a question of great importance for public policy and the modeling of economic growth. In this paper we develop a model of the process generating subsequent citations to patents as a lens for viewing knowledge diffusion. We find that the probability of patent citation over time after a patent is granted fits well to a double-exponential function that can be interpreted as the mixture of diffusion and obsolescense functions. The results indicate that diffusion is geographically localized. Controlling for other factors, within-country citations are more numerous and come more quickly than those that cross country boundaries.

Molecular genetics of pattern formation in the inner ear: Do compartment boundaries play a role?

The membranous labyrinth of the inner ear establishes a precise geometrical topology so that it may subserve the functions of hearing and balance. How this geometry arises from a simple ectodermal placode is under active investigation. The placode invaginates to form the otic cup, which deepens before pinching off to form the otic vesicle. By the vesicle stage many genes expressed in the developing ear have assumed broad, asymmetrical expression domains. We have been exploring the possibility that these domains may reflect developmental compartments that are instrumental in specifying the location and identity of different parts of the ear. The boundaries between compartments are proposed to be the site of inductive interactions required for this specification. Our work has shown that sensory organs and the endolymphatic duct each arise near the boundaries of broader gene expression domains, lending support to this idea. A further prediction of the model, that the compartment boundaries will also represent lineage-restriction compartments, is supported in part by fate mapping the otic cup. Our data suggest that two lineage-restriction boundaries intersect at the dorsal pole of the otocyst, a convergence that may be critical for the specification of endolymphatic duct outgrowth. We speculate that the patterning information necessary to establish these two orthogonal boundaries may emanate, in part, from the hindbrain. The compartment boundary model of ear development now needs to be tested through a variety of experimental perturbations, such as the removal of boundaries, the generation of ectopic boundaries, and/or changes in compartment identity.

Application of principal component analysis in phase-shifting photoelasticity

Principal component analysis phase shifting (PCA) is a useful tool for fringe pattern demodulation in phase shifting interferometry. The PCA has no restrictions on background intensity or fringe modulation, and it is a self-calibrating phase sampling algorithm (PSA). Moreover, the technique is well suited for analyzing arbitrary sets of phase-shifted interferograms due to its low computational cost. In this work, we have adapted the standard phase shifting algorithm based on the PCA to the particular case of photoelastic fringe patterns. Compared with conventional PSAs used in photoelasticity, the PCA method does not need calibrated phase steps and, given that it can deal with an arbitrary number of images, it presents good noise rejection properties, even for complicated cases such as low order isochromatic photoelastic patterns. © 2016 Optical Society of America.

Crossing Blurred Lines: A Training Program to Train Teachers in Appropriate Sexual Boundaries

Boundaries between students and teachers were once clearly defined. Students only interacted with their teachers at school. Currently, however, boundaries are becoming increasingly unclear. As technology advances, students have more venues to interact with their teachers. In addition, teachers are asked to take on more roles in their students' lives. A significant number of teachers and students engage in inappropriate relationships and the possible damage to students is high. Unfortunately, current training programs do not adequately address how teachers can maintain appropriate boundaries with their charges. This paper outlines a proposal for a new training program to fill this gap. This program utilizes training techniques that have been shown to be useful for adult learners as it helps teachers establish and maintain boundaries as well as incorporating elements of effective prevention programs.

Staying in the Delaware Corporate Governance Lane: Fee Shifting Bylaws and a Legislative Reaffirmation of the Rules of the Road

The Delaware legislature has taken steps towards the adoption of amendments to the Delaware General Corporation Law (DGCL) that would prohibit fee shifting provisions in the articles and bylaws. The language in the legislative proposal, however, addresses fee shifting provisions only in the context of "internal corporate claims." Some have raised concerns that this language would allow for fee shifting provisions that applied to other types of actions, including at least some cases brought under the securities laws. This piece suggests that in fact the Delaware General Corporation Law already prohibits the adoption of bylaws and certificate provisions that apply to causes of action unrelated to internal corporate claims. As a result, there was no reason for the Delaware legislature to expressly bar fee shifting provisions in these types of actions.

Redrawing Identity Boundaries through Integration Policies: Strategies of Inclusion/Exclusion of Immigrants in Québec and South Tyrol. EDAP Paper 01/2013

Following the research agenda introduced by Will Kymlicka, this qualitative study offers an interpretation of how the sub-national elites of Québec and South Tyrol police the integration of immigrants. For these national minority groups, which are constantly undergoing a process of redefinition of their collective identities by differentiating themselves from the Others who do not belong to the in-group, immigrants have progressively become the most significant Others as they are not part of the original system of compromises. This article questions how sub-national elites are handling this relatively new kind of ethnocultural diversity brought about by large-scale permanent immigration on two levels: first, the political narrative of the ruling sub-national parties, their electoral appeals, manifestos and speeches; second, the policy arrangements for the integration of immigrants in education, language and social policy. The initial approach of the article is pessimistic, as it assumes that sub-national elites will marginalize immigrants to please core nationalist supporters. In fact, the hypotheses to be tested are whether the national minority groups of Québec and South Tyrol engage in a process of reconstruction of their ethnic identity bounded by opposition to real or imagined Others – the newcomers; and whether they adopt practical measures that force newcomers to be assimilated into the group or to be marginalized. The comparison between Québec and South Tyrol provides a basic understanding of the impact of immigration in two sub-national polities that are very different, but still adopt similar political narratives and policy strategies with regard to the integration of newcomers.

Shifting Responsibilities for EU Roma Citizens: The 2010 French affair on Roma evictions and expulsions continued. CEPS Paper in Liberty and Security in Europe No. 55, June 2013

Despite the ultimatum delivered in October 2010 to the French government by Viviane Reding, Vice-President of the European Commission, to adapt its national immigration law ‘to the letter’ of the Citizens Directive 2004/38, the country has continued to evict and expel Romanian and Bulgarian nationals of Roma origin. This paper examines the state of affairs with respect to France’s policy on eviction and expulsion of Roma and assesses the way in which the controversy has developed and can be understood from the perspective of citizenship of the EU. On the basis of an examination of the subsequent responses by the European Commission and the EU member states involved, as well as of a recent bilateral agreement concluded between France and Romania on the reintegration of families of Romanian citizens belonging to the Roma minority who have exercised their freedom to move, the paper suggests that there has been a paradigm shift in the priorities driving EU policy responses and politics. This shift has led to an ethnicisation of citizenship of the Union, where ethnicity increasingly plays a decisive role in the allocation and attribution of responsibility to secure and safeguard the union freedoms.