Weighted Frechet Means as Convex Combinations in Metric Spaces: Properties and Generalized Median Inequalities

In this short note, we study the properties of the weighted Frechet mean as a convex combination operator on an arbitrary metric space, (Y,d). We show that this binary operator is commutative, non-associative, idempotent, invariant to multiplication by a constant weight and possesses an identity element. We also treat the properties of the weighted cumulative Frechet mean. These tools allow us to derive several types of median inequalities for abstract metric spaces that hold for both negative and positive Alexandrov spaces. In particular, we show through an example that these bounds cannot be improved upon in general metric spaces. For weighted Frechet means, however, such inequalities can solely be derived for weights equal or greater than one. This latter limitation highlights the inherent difficulties associated with working with abstract-valued random variables.Comment: 7 pages, 1 figure. Submitted to Probability and Statistics Letter

International Workshop on Nutrient Balances for Sustainable Agricultural Production and Natural Resource Management in Southeast Asia, Bangkok, Thailand, 20-22 February 2001: selected papers and presentations

Soil management / Soil properties / Soil fertility / Soil degradation / Crop production / Farmers / Agricultural extension / Farming systems / Sustainability / Rice / Cassava / Vegetables / Maize / Fertilizers / Decision support tools / Economic aspects

Neurogenin2 Expression in Ventral and Dorsal Spinal Neural Tube Progenitor Cells Is Regulated by Distinct Enhancers

AbstractThe basic helix-loop-helix transcription factor Neurogenin2 (NGN2) is expressed in distinct populations of neural progenitor cells within the developing central and peripheral nervous systems. Transgenic mice containing ngn2/lacZ reporter constructs were used to study the regulation of ngn2 in the developing spinal cord. ngn2/lacZ transgenic embryos containing sequence found 5′ or 3′ to the ngn2 coding region express lacZ in domains that reflect the spatial and temporal expression profile of endogenous ngn2. A 4.4-kb fragment 5′ of ngn2 was sufficient to drive lacZ expression in the ventral neural tube, whereas a 1.0-kb fragment located 3′ of ngn2 directed expression to both dorsal and ventral domains. Persistent β-gal activity revealed that the NGN2 progenitor cells in the dorsal domain give rise to a subset of interneurons that send their axons to the floor plate, and the NGN2 progenitors in the ventral domain give rise to a subset of motor neurons. We identified a discrete element that is required for the activity of the ngn2 enhancer specifically in the ventral neural tube. Thus, separable regulatory elements that direct ngn2 expression to distinct neural progenitor populations have been defined

Efficient Tet-dependent expression of human factor IX in vivo by a new self-regulating lentiviral vector.

Regulation of gene expression represents a long-sought goal of gene therapy. However, most viral vectors pose constraints on the incorporation of drug-dependent transcriptional regulatory systems. Here, by optimizing the design of self-regulating lentiviral vectors based on the tetracycline system, we have been able to overcome the limitations of previously reported constructs and to reach both robust expression and efficient regulation from a single vector. The improved performance allows us to report for the first time effective long-term in vivo regulation of a human clotting Factor IX (hF.IX) transgene upon systemic administration of a single vector to SCID mice. We showed that hF.IX expression in the plasma could be expressed to therapeutically significant concentrations, adjusted to different set levels by varying the tetracycline dose, rapidly turned off and on, and completely recovered after each treatment cycle. The new vector design was versatile, as it successfully incorporated a tissue-specific promoter that selectively targeted regulated expression to hepatocytes. Robust transgene expression in the systemic circulation coupled to the ability to switch off and even adjust the expression level may open the way to safer gene-based delivery of therapeutics

Does stakeholder involvement really benefit biodiversity conservation?

The establishment of protected areas, such as Natura 2000, is a common approach to curbing biodiversity loss. But many of these areas are owned or managed by private actors. Policies indicate that their involvement should be encouraged to ensure long term success. However, to date there have been no systematic evaluations of whether local actor involvement in the management of protected areas does in fact contribute to the conservation of biodiversity, which is the expressed policy goal. Research incorporating both qualitative and quantitative data was carried out in three case studies in Scotland where local actor input was required in the development and/or implementation of Natura 2000 management plans. No relationship was found between the characteristics of the process of stakeholder involvement and stakeholders’ perceptions of future biodiversity outcomes. Social outcomes of increased stakeholder involvement, such as increased trust, did however increase the perceived likelihood of positive future biodiversity outcomes. The findings indicate that efforts aimed at increasing stakeholder involvement in the management of protected areas need to consider making processes more independent, and acknowledge and address underlying biodiversity conflicts. The findings also emphasise the need to evaluate multi-level conservation efforts in terms of processes, social outcomes and biodiversity outcomes

Imaging Mismatch Repair and Cellular Responses to DNA Damage in Bacillus subtilis

Both prokaryotes and eukaryotes respond to DNA damage through a complex set of physiological changes. Alterations in gene expression, the redistribution of existing proteins, and the assembly of new protein complexes can be stimulated by a variety of DNA lesions and mismatched DNA base pairs. Fluorescence microscopy has been used as a powerful experimental tool for visualizing and quantifying these and other responses to DNA lesions and to monitor DNA replication status within the complex subcellular architecture of a living cell. Translational fusions between fluorescent reporter proteins and components of the DNA replication and repair machinery have been used to determine the cues that target DNA repair proteins to their cognate lesions in vivo and to understand how these proteins are organized within bacterial cells. In addition, transcriptional and translational fusions linked to DNA damage inducible promoters have revealed which cells within a population have activated genotoxic stress responses. In this review, we provide a detailed protocol for using fluorescence microscopy to image the assembly of DNA repair and DNA replication complexes in single bacterial cells. In particular, this work focuses on imaging mismatch repair proteins, homologous recombination, DNA replication and an SOS-inducible protein in Bacillus subtilis. All of the procedures described here are easily amenable for imaging protein complexes in a variety of bacterial species

Violation of a Leggett-Garg inequality with ideal non-invasive measurements

The quantum superposition principle states that an entity can exist in two different states simultaneously, counter to our 'classical' intuition. Is it possible to understand a given system's behaviour without such a concept? A test designed by Leggett and Garg can rule out this possibility. The test, originally intended for macroscopic objects, has been implemented in various systems. However to-date no experiment has employed the 'ideal negative result' measurements that are required for the most robust test. Here we introduce a general protocol for these special measurements using an ancillary system which acts as a local measuring device but which need not be perfectly prepared. We report an experimental realisation using spin-bearing phosphorus impurities in silicon. The results demonstrate the necessity of a non-classical picture for this class of microscopic system. Our procedure can be applied to systems of any size, whether individually controlled or in a spatial ensemble.Comment: 6+4 pages. Supplementary Methods section include

Mismatch repair causes the dynamic release of an essential DNA polymerase from the replication fork

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/86887/1/MMI_7841_sm_SuppInfor.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/86887/2/j.1365-2958.2011.07841.x.pd

Rotational Evolution During Type I X-Ray Bursts

The rotation rates of six weakly-magnetic neutron stars accreting in low-mass X-ray binaries have most likely been measured by Type I X-ray burst observations with RXTE. The nearly coherent oscillations detected during the few seconds of thermonuclear burning are most simply understood as rotational modulation of brightness asymmetries on the neutron star surface. We show that, as suggested by Strohmayer and colleagues, the frequency changes of 1-2 Hz observed during bursts are consistent with angular momentum conservation as the burning shell hydrostatically expands and contracts. We calculate how vertical heat propagation through the radiative outer layers of the atmosphere and convection affect the coherence of the oscillation. We show that the evolution of the rotational profile depends strongly on whether the burning layers are composed of pure helium or mixed hydrogen/helium. Our results help explain the absence (presence) of oscillations from hydrogen-burning (helium-rich) bursts that was found by Muno and collaborators. We investigate angular momentum transport within the burning layers and the recoupling of the burning layers with the star. We show that the Kelvin-Helmholtz instability is quenched by the strong stratification, and that mixing between the burning fuel and underlying ashes by the baroclinic instability does not occur. However, the baroclinic instability may have time to operate within the differentially rotating burning layer, potentially bringing it into rigid rotation.Comment: To appear in The Astrophysical Journal; minor corrections made to tables and figure

Electronic structure of phosphorus and arsenic d-doped germanium

Density functional theory in the LDA+U approximation is used to calculate the electronic structure ofgermanium d doped with phosphorus and arsenic. We characterize the principal band minima of the twodimensional electron gas created by d doping and their dependence on the dopant concentration. Populated first at low concentrations is a set of band minima at the perpendicular projection of the bulk conduction band minima at L into the (kx ,ky ) plane. At higher concentrations, band minima at and become involved. Valley splittings and effective masses are computed using an explicit-atom approach, taking into account the effects of disorder in the arrangement of dopant atoms in the d plane