Self-adjoint extensions for confined electrons: From a particle in a spherical cavity to the hydrogen atom in a sphere and on a cone

In a recent study of the self-adjoint extensions of the Hamiltonian of a particle confined to a finite region of space, in which we generalized the Heisenberg uncertainty relation to a finite volume, we encountered bound states localized at the wall of the cavity. In this paper, we study this situation in detail both for a free particle and for a hydrogen atom centered in a spherical cavity. For appropriate values of the self-adjoint extension parameter, the bound states localized at the wall resonate with the standard hydrogen bound states. We also examine the accidental symmetry generated by the Runge–Lenz vector, which is explicitly broken in a spherical cavity with general Robin boundary conditions. However, for specific radii of the confining sphere, a remnant of the accidental symmetry persists. The same is true for an electron moving on the surface of a finite circular cone, bound to its tip by a 1/r1/r potential.

INTERACTING WITH LOCAL AND REMOTE DATA RESPOSITORIES USING THE stashR PACKAGE

The stashR package (a Set of Tools for Administering SHared Repositories) for R implements a simple key-value style database where character string keys are associated with data values. The key-value databases can be either stored locally on the user's computer or accessed remotely via the Internet. Methods specific to the stashR package allow users to share data repositories or access previously created remote data repositories. In particular, methods are available for the S4 classes localDB and remoteDB to insert, retrieve, or delete data from the database as well as to synchronize local copies of the data to the remote version of the database. Users efficiently access information from a remote database by retrieving only the data files indexed by user-specified keys and caching this data in a local copy of the remote database. The local and remote counterparts of the stashR package offer the potential to enhance reproducible research by allowing users of Sweave to cache their R computations for a research paper in a localDB database. This database can then be stored on the Internet as a remoteDB database. When readers of the research paper wish to reproduce the computations involved in creating a specific figure or calculating a specific numeric value, they can access the remoteDB database and obtain the R objects involved in the computation.

Snake venom C-type lectins interacting with platelet receptors. Structure-function relationships and effects on haemostasis

Snake venoms contain components that affect the prey either by neurotoxic or haemorrhagic effects. The latter category affect haemostasis either by inhibiting or activating platelets or coagulation factors. They fall into several types based upon structure and mode of action. A major class is the snake C-type lectins or C-type lectin-like family which shows a typical folding like that in classic C-type lectins such as the selectins and mannose-binding proteins. Those in snake venoms are mostly based on a heterodimeric structure with two subunits alpha and beta, which are often oligomerized to form larger molecules. Simple heterodimeric members of this family have been shown to inhibit platelet functions by binding to GPIb but others activate platelets via the same receptor. Some that act via GPIb do so by inducing von Willebrand factor to bind to it. Another series of snake C-type lectins activate platelets by binding to GPVI while yet another series uses the integrin alpha(2)beta(1) to affect platelet function. The structure of more and more of these C-type lectins have now been, and are being, determined, often together with their ligands, casting light on binding sites and mechanisms. In addition, it is relatively easy to model the structure of the C-type lectins if the primary structure is known. These studies have shown that these proteins are quite a complex group, often with more than one platelet receptor as ligand and although superficially some appear to act as inhibitors, in fact most function by inducing thrombocytopenia by various routes. The relationship between structure and function in this group of venom proteins will be discussed.

Monitoring protein-protein interactions between the mammalian integral membrane transporters and PDZ-interacting partners using a modified split-ubiquitin membrane yeast two-hybrid system

PDZ-binding motifs are found in the C-terminal tails of numerous integral membrane proteins where they mediate specific protein-protein interactions by binding to PDZ-containing proteins. Conventional yeast two-hybrid screens have been used to probe protein-protein interactions of these soluble C termini. However, to date no in vivo technology has been available to study interactions between the full-length integral membrane proteins and their cognate PDZ-interacting partners. We previously developed a split-ubiquitin membrane yeast two-hybrid (MYTH) system to test interactions between such integral membrane proteins by using a transcriptional output based on cleavage of a transcription factor from the C terminus of membrane-inserted baits. Here we modified MYTH to permit detection of C-terminal PDZ domain interactions by redirecting the transcription factor moiety from the C to the N terminus of a given integral membrane protein thus liberating their native C termini. We successfully applied this "MYTH 2.0" system to five different mammalian full-length renal transporters and identified novel PDZ domain-containing partners of the phosphate (NaPi-IIa) and sulfate (NaS1) transporters that would have otherwise not been detectable. Furthermore this assay was applied to locate the PDZ-binding domain on the NaS1 protein. We showed that the PDZ-binding domain for PDZK1 on NaS1 is upstream of its C terminus, whereas the two interacting proteins, NHERF-1 and NHERF-2, bind at a location closer to the N terminus of NaS1. Moreover NHERF-1 and NHERF-2 increased functional sulfate uptake in Xenopus oocytes when co-expressed with NaS1. Finally we used MYTH 2.0 to demonstrate that the NaPi-IIa transporter homodimerizes via protein-protein interactions within the lipid bilayer. In summary, our study establishes the MYTH 2.0 system as a novel tool for interactive proteomics studies of membrane protein complexes.

SEARCH FOR LONG-LIVED WEAKLY INTERACTING PARTICLES USING THE PIERRE AUGER OBSERVATORY

Data collected with the surface detector array of the Pierre Auger Observatory during the period from January 1, 2004 to March 17, 2015 was examined for evidence of production of long-lived weakly interacting particles in interactions of ultra high energy cosmic rays in the atmosphere. The search was performed using extensive air showers with primary energies more than 10 EeV and arrival directions in the range of 57.5◦ to 77.5◦. There was no evidence of significant production of such particles. An upper limit on the fraction of extensive air showers in which such particles are produced was set.

Interacting effects of fertilization, mowing and grazing on plant species diversity of 1500 grasslands in Germany differ between regions

The relationship of different types of grassland use with plant species richness and composition (functional groups of herbs, legumes, and grasses) has so far been studied at small regional scales or comprising only few components of land use. We comprehensively studied the relationship between abandonment, fertilization, mowing intensity, and grazing by different livestock types on plant diversity and composition of 1514 grassland sites in three regions in North-East, Central and South-West Germany. We further considered environmental site conditions including soil type and topographical situation. Fertilized grasslands showed clearly reduced plant species diversity (−15% plant species richness, −0.1 Shannon diversity on fertilized grasslands plots of 16 m2) and changed composition (−3% proportion of herb species), grazing had the second largest effects and mowing the smallest ones. Among the grazed sites, the ones grazed by sheep had higher than average species richness (+27%), and the cattle grazed ones lower (−42%). Further, these general results were strongly modulated by interactions between the different components of land use and by regional context: land-use effects differed largely in size and sometimes even in direction between regions. This highlights the importance of comparing different regions and to involve a large number of plots when studying relationships between land use and plant diversity. Overall, our results show that great caution is necessary when extrapolating results and management recommendations to other regions.

NaV1.5 and interacting proteins in human arrhythmogenic cardiomyopathy

Evaluation of: Noorman M, Hakim S, Kessler E et al. Remodeling of the cardiac sodium channel, connexin43, and plakoglobin at the intercalated disk in patients with arrhythmogenic cardiomyopathy. Heart Rhythm 10(3), 412-419 (2013). Arrhythmogenic cardiomyopathy (AC) is a heart muscle disease characterized by a progressive replacement of the ventricular myocardium with adipose and fibrous tissue. This disease is often associated with mutations in genes encoding desmosomal proteins in the majority of patients. Based on results obtained from recent experimental models, a disturbed distribution of gap junction proteins and cardiac sodium channels may also be observed in AC phenotypes, secondary to desmosomal dysfunction. The study from Noorman et al. examined heart sections from patients diagnosed with AC and performed immunohistochemical analyses of N-cadherin, PKP2, PKG, Cx43 and the cardiac sodium channel NaV1.5. Altered expression/distribution of Cx43, PKG and NaV1.5 was found in most cases of patients with AC. The altered expression and/or distribution of NaV1.5 channels in AC hearts may play a mechanistic role in the arrhythmias leading to sudden cardiac death in AC patients. Thus, NaV1.5 should be considered as a supplemental element in the evaluation of risk stratification and management strategies. However, additional experiments are required to clearly understand the mechanisms leading to AC phenotypes.

Poly(A)-binding protein-interacting protein 1 binds to eukaryotic translation initiation factor 3 to stimulate translation.

Poly(A)-binding protein (PABP) stimulates translation initiation by binding simultaneously to the mRNA poly(A) tail and eukaryotic translation initiation factor 4G (eIF4G). PABP activity is regulated by PABP-interacting (Paip) proteins. Paip1 binds PABP and stimulates translation by an unknown mechanism. Here, we describe the interaction between Paip1 and eIF3, which is direct, RNA independent, and mediated via the eIF3g (p44) subunit. Stimulation of translation by Paip1 in vivo was decreased upon deletion of the N-terminal sequence containing the eIF3-binding domain and upon silencing of PABP or several eIF3 subunits. We also show the formation of ternary complexes composed of Paip1-PABP-eIF4G and Paip1-eIF3-eIF4G. Taken together, these data demonstrate that the eIF3-Paip1 interaction promotes translation. We propose that eIF3-Paip1 stabilizes the interaction between PABP and eIF4G, which brings about the circularization of the mRNA.

Nuclear proteins interacting with an AP-1/CRE-like promoter sequence in the human TNF$\alpha$ gene

Monocyte developmental heterogeneity is reflected at the cellular level by differential activation competence, at the molecular level by differential regulation of gene expression. LPS activates monocytes to produce tumor necrosis factor-$\alpha$ (TNF). Events occurring at the molecular level necessary for TNF regulation have not been elucidated, but depend both on activation signals and the maturation state of the cell: Peripheral blood monocytes produce TNF upon LPS stimulation, but only within the first 72 hours of culture. Expression of c-fos is associated with monocytic differentiation and activation; the fos-associated protein, c-jun, is also expressed during monocyte activation. Increased cAMP levels are associated with down regulation of macrophage function, including LPS-induced TNF transcription. Due to these associations, we studied a region of the TNF promoter which resembles the binding sites for both AP-1(fos/jun) and CRE-binding protein (or ATF) in order to identify potential molecular markers defining activation competent populations of monocytic cells.^ Nuclear protein binding studies using extracts from THP-1 monocytic cells stimulated with LPS, which stimulates, or dexamethasone (Dex) or pentoxyfilline (PTX), which inhibit TNF production, respectively, suggest that a low mobility doublet complex may be involved in regulation through this promoter region. PTX or Dex increase binding of these complexes equivalently over untreated cells; approximately two hours after LPS induction, the upper complex is undetectable. The upper complex is composed of ATF2 (CRE-BP1); the lower is a heterodimer of jun/ATF2. LPS induces c-jun and thus may enhance formation of jun-ATF2 complexes. The simultaneous presence of both complexes may reduce the amount of TNF transcription through competitive binding, while a loss of the upper (ATF2) and/or gain of the lower (jun-ATF2) allow increased transcription. AP-1 elements generally transduce signals involving PKC; the CRE mediates a cAMP response, involving PKA. Thus, this element has the potential of receiving signals through divergent signalling pathways. Our findings also suggest that cAMP-induced inhibition of macrophage functions may occur via down regulation of activation-associated genes through competitive binding of particular cAMP-responsive nuclear protein complexes. ^

cDNA cloning and expression of a novel cell surface-expressed \b heparan sulfate/heparin \b interacting \b protein (HIP) from human cell lines and functional studies of a synthetic HIP peptide

Heparan sulfate proteoglycans and their corresponding binding sites have been suggested to play an important role during the initial attachment of blastocysts to uterine epithelium and human trophoblastic cell lines to uterine epithelial cell lines. Previous studies on RL95 cells, a human uterine epithelial cell line, characterized a single class of cell surface heparin/heparan sulfate (HP/HS)-binding sites. Three major HP/HS-binding peptide fragments were isolated from RL95 cell surfaces by tryptic digestion and partial amino-terminal amino acid sequence from each peptide fragment was obtained. In the current study, using the approaches of reverse transcription-polymerase chain reaction and cDNA library screening, a novel cell surface $\rm\underline{H}$P/HS $\rm\underline{i}$nteracting $\rm\underline{p}$rotein (HIP) has been isolated from RL95 cells. The full-length cDNA of HIP encodes a protein of 259 amino acids with a calculated molecular weight of 17,754 Da and pI of 11.75. Transfection of HIP cDNA into NIH-3T3 cells demonstrated cell surface expression and a size similar to that of HIP expressed by human cells. Predicted amino acid sequence indicates that HIP lacks a membrane spanning region and has no consensus sites for glycosylation. Northern blot analysis detected a single transcript of 1.3 kb in both total RNA and poly(A$\sp+$) RNA. Examination of human cell lines and normal tissues using both Northern blot and Western blot analysis revealed that HIP is differentially expressed in a variety of human cell lines and normal tissues, but absent in some cell lines examined. HIP has about 80% homology, at the level of both mRNA and protein, to a rodent protein, designated as ribosomal protein L29. Thus, members of the L29 family may be displayed on cell surfaces where they participate in HP/HS binding events. Studies on a synthetic peptide derived from HIP demonstrate that HIP peptide binds HS/HP with high selectivity and has high affinity (Kd = 10 nM) for a subset of polysaccharides found in commercial HIP preparations. Moreover, HIP peptide also binds certain forms of cell surface, but not secreted or intracellular. HS expressed by RL95 and JAR cells. This peptide supports the attachment of several human trophoblastic cell lines and a variety of mammalian adherent cell lines in a HS-dependent fashion. Furthermore, studies on the subset of HP specifically recognized by HIP peptide indicate that this high-affinity HP (HA-HP) has a larger median MW and a greater negative charge density than bulk HP. The minimum size of oligosaccharide required to bind to HIP peptide with high affinity is a septa- or octasaccharide. HA-HP also quantitatively binds to antithrombin-III (AT-III) with high affinity, indicating that HIP peptide and AT-III may recognize the same or similar oligosaccharide structure(s). Furthermore, HIP peptide antagonizes HP action and promotes blood coagulation in both factor Xa- and thrombin-dependent assays. Finally, HA-HP recognized by HP peptide is highly enriched with anticoagulant activity relative to bulk HP. Collectively, these results demonstrate that HIP may play a role in the HP/HS-involved cell-cell and cell-matrix interactions and recognizes a motif in HP similar or identical to that recognized by AT-III and therefore, may modulate blood coagulation. ^

Identification of the signal pathways modulated by expression of p210$\rm\sp{bcr-abl}$ and the inhibition of p210$\rm\sp{bcr-abl}$ transforming activity by polypeptides interacting with p210$\rm\sp{bcr-abl}$ in murine myeloid 32D cells

The Bcr-Abl fusion oncogene which resulted from a balanced reciprocal translocation between chromosome 9 and 22, t(9;22)(q11, q34), encodes a 210 KD elevated tyrosine specific protein kinase that is found in more than 95 percent of chronic myelogenous leukemia patients (CML). Increase of level of phosphorylation of tyrosine is observed on cell cycle regulatory proteins in cells overexpressing the Bcr-Abl oncogene, which activates multiple signaling pathways. In addition, distinct signals are required for transforming susceptible fibroblast and hematopoietic cells, and the minimal signals essential for transforming hematopoietic cells are yet to be defined. In the present study, we first established a tetracycline repressible p210$\rm\sp{bcr-abl}$ expression system in a murine myeloid cell line 32D c13, which depends on IL3 to grow in the presence of tetracycline and proliferate independent of IL3 in the absence of tetracycline. Interestingly, one of these sublines does not form tumors in athymic nude mice suggesting that these cells may not be completely transformed. These cells also exhibit a dose-dependent growth and expression of p210$\rm\sp{bcr-abl}$ at varying concentrations of tetracycline in the culture. However, p210$\rm\sp{bcr-abl}$ rescues IL3 deprivation induced apoptosis in a non-dose dependent fashion. DNA genotoxic damage induced by gamma-irradiation activates c-Abl tyrosine kinase, the cellular homologue of p210$\rm\sp{bcr-abl},$ and leads to activation of p38 MAP kinase in the cells. However, in the presence of p210$\rm\sp{bcr-abl}$ the irradiation failed to activate the p38 MAP kinase as examined by an antibody against phosphorylated p38 MAP kinase. Similarly, an altered tyrosine phosphorylation of the JAK1-STAT1 pathways was identified in cells constitutively overexpressing p210$\rm\sp{bcr-abl}.$ This may provided a molecular mechanism for altered therapeutic response of CML patients to IFN-$\alpha.$^ Bcr-Abl oncoprotein has multiple functional domains which have been identified by the work of others. The Bcr tetramerization domain, which may function to stabilize the association of the Bcr-Abl with actin filaments in p210$\rm\sp{bcr-abl}$ susceptible cells, are essential for transforming both fibroblast and hematopoietic cells. We designed a transcription unit encoding first 160 amino acids polypeptide of Bcr protein to test if this polypeptide can inhibit the transforming activity of the p210$\rm\sp{bcr-abl}$ oncoprotein in the 32D c13 cells. When this vector was transfected transiently along with the p210$\rm\sp{bcr-abl}$ expression vector, it can block the transforming activity of p210$\rm\sp{bcr-abl}.$ On the other hand, the retinoblastoma tumor suppressor protein (Rb), a naturally occurring negative regulator of the c-Abl kinase, the cellular homologue of Bcr-Abl oncoprotein, binds to and inhibits the c-Abl kinase in a cell cycle dependent manner. A polypeptide obtained from the carboxyl terminal end of the retinoblastoma tumor suppressor protein, in which the nuclear localization signal was mutated, was used to inhibit the kinase activity of the p210$\rm\sp{bcr-abl}$ in the cytoplasm. This polypeptide, called Rb MC-box, and its wild type form, Rb C-box, when overexpressed in the 32D cells are mainly localized in the cytoplasm. Cotransfection of a plasmid transcription unit coding for this polypeptide and the gene for the p210$\rm\sp{bcr-abl}$ resulted in reduced plating efficiency of p210$\rm\sp{bcr-abl}$ transfected IL3 independent 32D cells. Together, these results may lead to a molecular approach to therapy of CML and an in vitro assay system to identify new targets to which an inhibitory polypeptide transcription unit may be directed. ^