Fate of accidental symmetries of the relativistic hydrogen atom in a spherical cavity

The non-relativistic hydrogen atom enjoys an accidental SO(4) symmetry, that enlarges the rotational SO(3) symmetry, by extending the angular momentum algebra with the Runge–Lenz vector. In the relativistic hydrogen atom the accidental symmetry is partially lifted. Due to the Johnson–Lippmann operator, which commutes with the Dirac Hamiltonian, some degeneracy remains. When the non-relativistic hydrogen atom is put in a spherical cavity of radius R with perfectly reflecting Robin boundary conditions, characterized by a self-adjoint extension parameter γ, in general the accidental SO(4) symmetry is lifted. However, for R=(l+1)(l+2)a (where a is the Bohr radius and l is the orbital angular momentum) some degeneracy remains when γ=∞ or γ = 2/R. In the relativistic case, we consider the most general spherically and parity invariant boundary condition, which is characterized by a self-adjoint extension parameter. In this case, the remnant accidental symmetry is always lifted in a finite volume. We also investigate the accidental symmetry in the context of the Pauli equation, which sheds light on the proper non-relativistic treatment including spin. In that case, again some degeneracy remains for specific values of R and γ.

Robust indoor localization of narrowband signals

Many location-based services target users in indoor environments. Similar to the case of dense urban areas where many obstacles exist, indoor localization techniques suffer from outlying measurements caused by severe multipath propaga??tion and non-line-of-sight (NLOS) reception. Obstructions in the signal path caused by static or mobile objects downgrade localization accuracy. We use robust multipath mitigation techniques to detect and filter out outlying measurements in indoor environments. We validate our approach using a power-based lo??calization system with GSM. We conducted experiments without any prior knowledge of the tracked device's radio settings or the indoor radio environment. We obtained localization errors in the range of 3m even if the sensors had NLOS links to the target device.

Solvation-Driven Charge Transfer and Localization in Metal Complexes

In any physicochemical process in liquids, the dynamical response of the solvent to the solutes out of equilibrium plays a crucial role in the rates and products: the solvent molecules react to the changes in volume and electron density of the solutes to minimize the free energy of the solution, thus modulating the activation barriers and stabilizing (or destabilizing) intermediate states. In charge transfer (CT) processes in polar solvents, the response of the solvent always assists the formation of charge separation states by stabilizing the energy of the localized charges. A deep understanding of the solvation mechanisms and time scales is therefore essential for a correct description of any photochemical process in dense phase and for designing molecular devices based on photosensitizers with CT excited states. In the last two decades, with the advent of ultrafast time-resolved spectroscopies, microscopic models describing the relevant case of polar solvation (where both the solvent and the solute molecules have a permanent electric dipole and the mutual interaction is mainly dipole−dipole) have dramatically progressed. Regardless of the details of each model, they all assume that the effect of the electrostatic fields of the solvent molecules on the internal electronic dynamics of the solute are perturbative and that the solvent−solute coupling is mainly an electrostatic interaction between the constant permanent dipoles of the solute and the solvent molecules. This well-established picture has proven to quantitatively rationalize spectroscopic effects of environmental and electric dynamics (time-resolved Stokes shifts, inhomogeneous broadening, etc.). However, recent computational and experimental studies, including ours, have shown that further improvement is required. Indeed, in the last years we investigated several molecular complexes exhibiting photoexcited CT states, and we found that the current description of the formation and stabilization of CT states in an important group of molecules such as transition metal complexes is inaccurate. In particular, we proved that the solvent molecules are not just spectators of intramolecular electron density redistribution but significantly modulate it. Our results solicit further development of quantum mechanics computational methods to treat the solute and (at least) the closest solvent molecules including the nonperturbative treatment of the effects of local electrostatics and direct solvent−solute interactions to describe the dynamical changes of the solute excited states during the solvent response.

From quantum to classical dynamics: The relativistic O ( N ) model in the framework of the real-time functional renormalization group

We investigate the transition from unitary to dissipative dynamics in the relativistic O(N) vector model with the λ(φ2)2 interaction using the nonperturbative functional renormalization group in the real-time formalism. In thermal equilibrium, the theory is characterized by two scales, the interaction range for coherent scattering of particles and the mean free path determined by the rate of incoherent collisions with excitations in the thermal medium. Their competition determines the renormalization group flow and the effective dynamics of the model. Here we quantify the dynamic properties of the model in terms of the scale-dependent dynamic critical exponent z in the limit of large temperatures and in 2≤d≤4 spatial dimensions. We contrast our results to the behavior expected at vanishing temperature and address the question of the appropriate dynamic universality class for the given microscopic theory.

Growth Cone Localization of the mRNA Encoding the Chromatin Regulator HMGN5 Modulates Neurite Outgrowth

Neurons exploit local mRNA translation and retrograde transport of transcription factors to regulate gene expression in response to signaling events at distal neuronal ends. Whether epigenetic factors could also be involved in such regulation is not known. We report that the mRNA encoding the high-mobility group N5 (HMGN5) chromatin binding protein localizes to growth cones of both neuron-like cells and of hippocampal neurons, where it has the potential to be translated, and that HMGN5 can be retrogradely transported into the nucleus along neurites. Loss of HMGN5 function induces transcriptional changes and impairs neurite outgrowth, while HMGN5 overexpression induces neurite outgrowth and chromatin decompaction; these effects are dependent on growth cone localization of Hmgn5 mRNA. We suggest that the localization and local translation of transcripts coding for epigenetic factors couple the dynamic neuronal outgrowth process with chromatin regulation in the nucleus.

SUBCELLULAR LOCALIZATION, PURIFICATION AND PROPERTIES OF A CDP-DIACYLGLYCEROL - DEPENDENT PHOSPHATIDYLSERINE SYNTHASE IN BACILLUS LICHENIFORMIS

A CDP-diacylglycerol dependent phosphatidylserine synthase was detected in three species of gram-positive bacilli, viz. Bacillus licheniformis, Bacillus subtilis and Bacillus megaterium; the enzyme in B. licheniformis was studied in detail. The subcellular distribution experiments in cell-free extracts of B. licheniformis using differential centrifugation, sucrose gradient centrifugation and detergent solubilization showed the phosphatidylserine synthase to be tightly associated with the membrane. The enzyme was shown to have an absolute requirement for divalent metal ion for activity with a strong preference for manganese. The enzyme activity was completely dependent upon the addition of CDP-diacylglycerol to the assay system; the role of the liponucleotide was rigorously shown to be that of phosphatidyl donor and not just a detergent-like stimulator. This enzyme was then solubilized from B. licheniformis membranes and purified to near homogeneity. The purification procedure consisted of CDP-diacylglycerol-Sepharose affinity chromatography followed by substrate elution from blue-dextran Sepharose. The purified preparation showed a single band with an apparent minimum molecular weight of 53,000 when subjected to SDS polyacrylamide gel electrophoresis. The preparation was free of any phosphatidylglycerophosphate synthase, CDP-diacylglycerol hydrolase and phosphatidylserine hydrolase activities. The utilization of substrates and formation of products occurred with the expected stoichiometry. Radioisotopic exchange patterns between related substrate and product pairs suggest a sequential BiBi reaction as opposed to the ping-pong mechanism exhibited by the well studied phosphatidylserine synthase of Escherichia coli. Proteolytic digestion of the enzyme yielded a smaller active form of the enzyme (41,000 daltons) which appears to be less prone to aggregation.^ This has been the first detailed study in a well-defined bacillus species of the enzyme catalyzing the CDP-diacylglycerol-dependent formation of phosphatidylserine; this reaction is the first committed step in the biosynthetic pathway to the major membrane component, phosphatidylethanolamine. Further study of this enzyme may lead to understanding of new mechanisms of phosphatidyl transfer and novel modes of control of phospholipid biosynthetic enzymes. ^

INVESTIGATIONS ON THE INTRACELLULAR LOCALIZATION OF PHOSPHATIDYLSERINE SYNTHASE FROM ESCHERICHIA COLI

Phosphatidylserine synthase catalyzes the committed step in the synthesis of the major lipid of Escherichia coli, phosphatidylethanolamine, and may be involved in regulating the balance of the zwitterionic and anionic phospholipids in the membrane. Unlike the other enzymes involved in the biosynthesis of phospholipids in E. coli, phosphatidylserine synthase is not membrane associated but seems to have a high affinity for the ribosomal fraction of cells broken by various methods. Investigations on the enzyme in cell free extracts using glycerol gradient centrifugation revealed that the binding of the synthase to ribosomes may be prevented by the presence of highly basic compounds such as spermidine and by the presence of detergent-lipid substrate micelles under assay conditions. Thus phosphatidylserine synthase may not be ribosome associated under physiological conditions but associated with its membrane bound substrate (Louie and Dowhan (1980) J. Biol. Chem. 255, 1124).^ In addition homogeneous enzyme shows many of the properties of a membrane associated protein. It binds nonionic detergent such as Triton X-100, which is also required during purification of the enzyme. Optimal catalytic activity is also dependent on micelle or surface bound substrate. Phosphatidylserine synthase has been synthesized in vitro using a coupled transcription-translation system dependent on the presence of the cloned structural gene. The translation product was found to preferentially associate with the ribosomal fraction even in the presence of added E. coli membranes. Preferential membrane binding could be induced if the membranes were supplemented with the lipid substrate CDP-diacylglycerol. Similar effects were obtained with the acidic lipids phosphatidylglycerol and cardiolipin. On the other hand the zwitterionic lipid phosphatidylethanolamine and the lipid product phosphatidylserine did not cause any detectable membrane association. These results are consistent with the enzyme recognizing membrane bound substrate (Carman and Dowhan (1979) J. Biol. Chem. 254, 8391) and with the lipid charge influencing membrane interaction.^ Phosphatidylserine synthase is at a branch point in lipid metabolism, which may determine the distribution of the zwitterionic and anionic phospholipids in the membrane. The results obtained here indicate phosphatidylserine synthase may play a significant role in membrane lipid biosynthesis by maintaining charge balance of the E. coli membrane. In determining the localization of phosphatidylserine synthase in vitro one may have a better understanding of its function and control in vivo and may also have a better understanding of its role in membrane assembly.^

LOCALIZATION OF DNA REPAIR FUNCTIONS TO THE NUCLEAR MATRIX

The nucleus of a eukaryotic cell contains both structural and functional elements that contribute to the controlled operation of the cell. In this context, functional components refers to those nuclear constituents that perform metabolic activities such as DNA replication and RNA transcription. Structural nuclear components, designated nuclear matrix, organize the DNA into loops or domains and appear to provide a framework for nuclear DNA organization. However, the boundary between structural and functional components is not clear cut as evinced by reports of associations between metabolic functions and the nuclear matrix. The studies reported here attempt to determine the relationship of another nuclear function, DNA repair, to the nuclear matrix.^ One objective of these studies was to study the initiation of DNA repair by directly measuring the UV-incision activities in human cells and determine the influence of various extractable nuclear components on these activities. The assay for incision activities required the development of a nuclear isolation protocol that produced nuclei with intact DNA; the conformation of the nuclear DNA and its physical characteristics in response to denaturing conditions were determined.^ The nuclei produced with this protocol were then used as substrates for endogenous UV-specific nuclease activities. The isolated nuclei were shown to contain activities that cause breaks in nuclear DNA in response to UV-irradiation. These UV-responsive activities were tightly associated with nuclear components, being unextractable with salt concentration of up to 0.6 M.^ The tight association of the incision activities with salt-extracted nuclei suggested that other repair function might also be associated with salt-stable components of the nucleus. The site of unscheduled DNA synthesis (UDS) was determined in salt-extracted nuclei (nucleoids) using autoradiography and fluorescent microscopy. UDS was found to occur in association with the nuclear matrix following low-doses (2.55 J/M('2)) of ultraviolet light, but the association became looser after higher doses of ultraviolet light (10-30 J/m('2)). ^

The localization and identification of candidate tumor suppressor genes involved in prostate cancer

Frequent loss of heterozygosity (LOH) at specific chromosomal regions are highly associated with the inactivation of tumor suppressor genes (TSGs) (Weinberg, 1991; Bishop, 1989). Chromosome 8p is the most frequently reported site of LOH (∼60%) in prostate cancer (PC), suggesting that there may be inactivated TSG(s) involved in PC on chromosome 8p. (Bergerheim et. al., 1991; Kagan et. al., 1995). In order to identify the smallest common regions of frequent LOH (SCLs) on chromosome 8, we screened 52 PC patient/tumor samples with 39 polymorphic markers in successive screenings. In the course of refining the SCLs, we identified 3 tumors with >6 Mb homozygous deletions (HZDs) at 8p22 and 8p21, suggesting the presence of candidate TSGs at both loci. These HZDs spanned the two SCLs at 8p22 (46%) and 8p21 (45%). The SCLs were narrowed to 3.2 cM at 8p22 and less than 3 cM at 8p21. ^ In order to identify candidate TSGs within the SCLs on 8p, two approaches were used. In the candidate gene approach, thirty genes that mapped to the SCLs were evaluated for expression in normal prostate and in PC cell lines. One of the candidate genes, Clusterin, showed decreased expression in 4/7 (57%) prostate cancer cell lines by Northern blot analysis. Clusterin will be further examined as a candidate TSG. ^ The second approach involved utilizing subtractive hybridization and hybrid affinity capture to generate pools of expressed sequence tags (ESTs) enriched for genes that are downregulated or deleted in PC and that map to specific regions of interest. We took advantage of a prostate cancer cell line (PC3) with a known HZD of a candidate TSG, CTNNA1 on 5q31, to develop and validate a model system. We then developed subtracted libraries enriched for 8p22 and 8p21 ESTs by this method, using two cell lines, MDAPCa-2b and PC3. The ESTs were cloned, and 40 were sequenced and evaluated for expression in normal prostate and PC cell lines. Three ESTs from the subtracted libraries, C2, C17 and F12, showed decreased expression in 29–57% of the prostate tumor cell lines studied, and will be further examined as candidate TSGs. ^

Mapping and characterization of the Xlsirt P11 RNA cis-acting localization element

In many organisms, polarity of the oocyte is established post-transcriptionally via subcellular RNA localization. Many RNAs are localized during oogenesis in Xenopus laevis, including Xlsirts ( Xenopus laevis short interspersed repeat transcripts) [Kloc, 1993]. Xlsirts constitute a large family defined by highly homologous repeat units 79–81 nucleotides in length. Endogenous Xlsirt RNAs use the METRO (Message Transport Organizer) pathway of localization, where RNAs are transported from the nucleus to the mitochondrial cloud in stage I oocytes. Secondly, RNAs anchor at the vegetal pole in stage II oocytes. Exogenous Xlsirt RNAs can also utilize the Late pathway of localization, which involves localization to the vegetal cortex during stage III of oogenesis and results in RNAs anchored in the cortex of the entire vegetal hemisphere. ^ The Xlsirts localization signal is contained within the repeat region. This study was designed to test the hypothesis that there are cis -acting localization elements in Xlsirts, and that higher order structure plays a role. Results of experiments on Xlsirt P11, a 1700 basepair (bp) family member, led to the conclusion that a 137-bp fragment of the repetitive region is necessary and sufficient for METRO and Late pathway localization. This analysis definitively demonstrates that the Xlsirt localization signal for the METRO and Late pathways reside within the repetitive region and not within the flanking regions. Analysis of Xlsirt linker scanning mutations revealed two METRO-pathway specific subelements, and one Late-pathway specific subelement. Functional, computer, and biochemical evidence relates the higher order structure of this element to its ability to function as a localization element. ^ Xlsirt 137 is 99% identical to the Xlsirt consensus sequence identified in this study, suggesting that it is the localization element for all localized Xlsirt family members. The repeat unit was reframed based on function, rather than arbitrarily based on sequence. This work supports the hypothesis presented in 1981 by George Spohr, who originally isolated the Xlsirts, which stated that the highly conserved repetitive elements must be constrained from variability due to some unknown function of the repeats themselves. These studies shed light on the mechanism of RNA localization, linking structure and function. ^

Ionotropic Glutamate Receptors Show Unique Distribution and Localization in the Dorsal Cochlear Nucleus of the Rhesus Monkey

The dorsal cochlear nucleus (DCN) receives auditory information via the auditory nerve coming from the cochlea. It is responsible for much of the integration of auditory information, and it projects this auditory information to higher auditory brain centers for further processing. This study focuses on the DCN of adult Rhesus monkeys to characterize two specific cell types, the fusiform and cartwheel cell, based on morphometric parameters and type of glutamate receptor they express. The fusiform cell is the main projection neuron, while the cartwheel cell is the main inhibitory interneuron. Expression of AMPA glutamate receptor subunits is localized to certain cell types. The activity of the CN depends on the AMPA receptor subunit composition and expression. Immunocytochemistry, using specific antibodies for AMPA glutamate receptor subunits GluR1, GluR2/3 and GluR4, was used in conjunction with morphometry to determine the location, morphological characteristics and expression of AMPA receptor subunits in fusiform and cartwheel cells in the primate DCN. Qualitative as well as quantitative data indicates that there are important morphological differences in cell location and expression of AMPA glutamate receptor subunits between the rodent DCN and that of primates. GluR2/3 is widely expressed in the primate DCN. GluR1 is also widely expressed in the primate DCN. GluR4 is diffusely expressed. Expression of GluR2/3 and GluR4 in the primate is similar to that of the rodent. However, expression of GluR1 is different. GluR1 is only expressed by cartwheel cells in the rodent DCN, but is expressed by a variety of cells, including fusiform cells, in the DCN of the primate.