Substrate Selectivity and Molecular Adaptation in the Outer Membrane Proteases of Yersinia pestis and Salmonella enterica

Proteolysis is important in bacterial pathogenesis and colonization of animal and plant hosts. In this work I have investigated the functions of the bacterial outer membrane proteases, omptins, of Yersinia pestis and Salmonella enterica. Y. pestis is a zoonotic pathogen that causes plague and has evolved from gastroenteritis-causing Yersinia pseudotuberculosis about 13 000 years ago. S. enterica causes gastroenteritis and typhoid fever in humans. Omptins are transmembrane β-barrels with ten antiparallel β-strands and five surface-exposed loops. The loops are important in substrate recognition, and variation in the loop sequences leads to different substrate selectivities between omptins, which makes omptins an ideal platform to investigate functional adaptation and to alter their polypeptide substrate preferences. The omptins Pla of Y. pestis and PgtE of S. enterica are 75% identical in their amino acid sequences. Pla is a multifunctional protein with proteolytic and non-proteolytic functions, and it increases bacterial penetration and proliferation in the host. Functions of PgtE increase migration of S. enterica in vivo and bacterial survival in mouse macrophages, thus enhancing bacterial spread within the host. Mammalian plasminogen/fibrinolytic system maintains the balance between coagulation and fibrinolysis and participates in several cellular processes, e.g., cell migration and degradation of extracellular matrix proteins. This system consists of activation cascades, which are strictly controlled by several regulators, such as plasminogen activator inhibitor 1 (PAI-1), α2-antiplasmin (α2AP), and thrombin-activatable fibrinolysis inhibitor (TAFI). This work reveals novel interactions of the omptins of Y. pestis and S. enterica with the regulators of the plasminogen/fibrinolytic system: Pla and PgtE inactivate PAI-1 by cleavage at the reactive site peptide bond, and degrade TAFI, preventing its activation to TAFIa. Structure-function relationship studies with Pla showed that threonine 259 of Pla is crucial in plasminogen activation, as it prevents degradation of the plasmin catalytic domain by the omptin and thus maintains plasmin stability. In this work I constructed chimeric proteins between Pla and Epo of Erwinia pyrifoliae that share 78% sequence identity to find out which amino acids and regions in Pla are important for its functions. Epo is neither a plasminogen activator nor an invasin, but it degrades α2AP and PAI-1. Cumulative substitutions towards Pla sequence turned Epo into a Pla-like protein. In addition to threonine 259, loops 3 and 5 are critical in plasminogen activation by Pla. Turning Epo into an invasin required substitution of 31 residues located at the extracellular side of the Epo protein above the lipid bilayer, and also of the β1-strand in the N-terminal transmembrane region of the protein. These studies give an example of how omptins adapt to novel functions that advantage their host bacteria in different ecological niches.

Multifunctional RNA silencing pathway polymerase QDE-1 of Neurospora crassa

Double-stranded RNA and associated proteins are known to regulate the gene expression of most eukaryotic organisms. These regulation pathways have different components, outcomes and distinct nomenclature depending on the model system, and often they are referred to collectively as RNA silencing. In many cases, RNA-dependent RNA polymerases (RdRPs) are found to be involved in the RNA silencing, but their targets, activities, interaction partners and reaction products remain enigmatic. In the filamentous fungus Neurospora crassa, the RdRP QDE-1 is critical for silencing of transgenes a phenomenon known as quelling. In this thesis the structure, biochemical activities and biological functions of QDE-1 were extensively studied. This dimeric RdRP was shown to possess five distinct catalytic in vitro activities that could be dissected by mutagenesis and by altering reaction conditions. The biochemical characterization implied that QDE-1 is actually an active DNA-dependent RNA polymerase that has additional RdRP activity. It also provided a structural explanation for the dimerization and suggested a biological framework for the functions of QDE-1 in vivo. (I) QDE-1 was also studied in a broader context along with the other components of the quelling pathway. It was shown that DNA damage in Neurospora causes a dramatic increase in the expression level of the Argonaute protein QDE-2 as well as the synthesis of a novel class of small RNAs known as qiRNAs. The accumulation of qiRNAs was shown to be dependent on several quelling components, and particularly to be derived from an aberrant ssRNA (aRNA) molecule that is synthesized by QDE-1 in the nucleus. The genomic distribution of qiRNA targets was analyzed and the possible biological significance of qiRNAs was studied. Importantly, qiRNAs are the first class of small RNAs that are induced by DNA damage. (II) After establishing that QDE-1 is a multifunctional RNA polymerase with several activities, template specificities and subcellular locations, the focus was turned onto its interaction partners. It had been previously known that QDE-1 associates with Replication Protein A (RPA), but the RecQ helicase QDE-3 was now shown to regulate this interaction. RPA was also observed to promote QDE-1 dependent dsRNA synthesis in vitro. By characterizing the interplay between QDE-1, QDE-3 and RPA, a working model of quelling and qiRNA pathways in Neurospora was presented. (III) This work sheds light on the complexity of the various RNA silencing pathways of a fungal model system. It shows how an RdRP can regulate gene expression on many levels, and suggests novel lines of research in other eukaryotic organisms.

Outer Membrane Protease/Adhesin PgtE of Salmonella enterica: Role in Salmonella-Host Interaction

Salmonella enterica serovar Typhimurium is a common cause of gastroenteritis in humans and, occasionally, also causes systemic infection. During systemic infection an important characteristic of Salmonella is its ability to survive and replicate within macrophages. The outer membrane protease PgtE of S. enterica is a member of the omptin family of outer membrane aspartate proteases, which are beta-barrel proteins with five surface-exposed loops. The main goals of this study were to characterize biological substrates and pathogenesis-associated functions of PgtE and to determine the conditions where PgtE is fully active. In this study we found that PgtE requires rough lipopolysaccharide (LPS) to be functional but is sterically inhibited by the long O-antigen side chain in smooth LPS. Salmonella isolates normally are smooth with a long oligosaccharide O-antigen, and PgtE remains functionally cryptic in wild-type Salmonella cultivated in vitro. Interestingly, our results showed that due to increased expression of PgtE and to reduced length of the LPS O-antigen chains, the wild-type Salmonella expresses highly functional PgtE when isolated from mouse macrophage-like J774A.1 cells. Salmonella is thought to be continuously released from macrophages to infect new ones, and our results suggest that PgtE is functional during these transient extracellular growth phases. Six novel host protein substrates were identified for PgtE in this work. PgtE was previously known to activate human plasminogen (Plg) to plasmin, a broad-spectrum serine protease, and in this study PgtE was shown to interfere with the Plg system by inactivating the main inhibitor of plasmin, alpha2-antiplasmin. PgtE also interferes with another important proteolytic system of mammals by activating pro-matrix metalloproteinase-9 to an active gelatinase. PgtE also directly degrades gelatin, a component of extracellular matrices. PgtE also increases bacterial resistance against complement-mediated killing in human serum and enhances survival of Salmonella within murine macrophages as well as in the liver and spleen of intraperitoneally infected mice. Taken together, the results in this study suggest that PgtE is a virulence factor of Salmonella that has adapted to interfere with host proteolytic systems and to modify extracellular matrix; these features likely assist the migration of Salmonella during systemic salmonellosis.

A semi-analytical particle filter for identification of nonlinear oscillators

Particle filters find important applications in the problems of state and parameter estimations of dynamical systems of engineering interest. Since a typical filtering algorithm involves Monte Carlo simulations of the process equations, sample variance of the estimator is inversely proportional to the number of particles. The sample variance may be reduced if one uses a Rao-Blackwell marginalization of states and performs analytical computations as much as possible. In this work, we propose a semi-analytical particle filter, requiring no Rao-Blackwell marginalization, for state and parameter estimations of nonlinear dynamical systems with additively Gaussian process/observation noises. Through local linearizations of the nonlinear drift fields in the process/observation equations via explicit Ito-Taylor expansions, the given nonlinear system is transformed into an ensemble of locally linearized systems. Using the most recent observation, conditionally Gaussian posterior density functions of the linearized systems are analytically obtained through the Kalman filter. This information is further exploited within the particle filter algorithm for obtaining samples from the optimal posterior density of the states. The potential of the method in state/parameter estimations is demonstrated through numerical illustrations for a few nonlinear oscillators. The proposed filter is found to yield estimates with reduced sample variance and improved accuracy vis-a-vis results from a form of sequential importance sampling filter.

Novel Molecular Mechanisms of Arabidopsis Disease Resistance

Plants are capable of recognizing phytopathogens through the perception of pathogen-derived molecules or plant cell-wall degradation products due to the activities of pathogen-secreted enzymes. Such elicitor recognition events trigger an array of inducible defense responses involving signal transduction networks and massive transcriptional re-programming. The outcome of a pathogen infection relies on the balance between different signaling pathways, which are integrated by regulatory proteins. This thesis characterized two key regulatory components: a damage control enzyme, chlorophyllase 1 (AtCHL1), and a transcription factor, WRKY70. Their roles in defense signaling were then investigated. The Erwinia-derived elicitors rapidly activated the expression of AtCLH1 and WRKY70 through different signaling pathways. The expression of the AtCHL1 gene was up-regulated by jasmonic acid (JA) but down-regulated by salicylic acid (SA), whereas WRKY70 was activated by SA and repressed by JA. In order to elucidate the functions of AtCLH1 and WRKY70 in plant defense, stable transgenic lines were produced where these genes were overexpressed or silenced. Additionally, independent knockout lines were also characterized. Bacterial and fungal pathogens were then used to assess the contribution of these genes to the Arabidopsis disease resistance. The transcriptional modulation of AtCLH1 by either the constitutive over-expression or RNAi silencing caused alterations in the chlorophyll-to-chlorophyllide ratio, supporting the claim that chlorophyllase 1 has a role in the chlorophyll degradation pathway. Silencing of this gene led to light-dependent over-accumulation of the reactive oxygen species (ROS) in response to infection by Erwinia carotovora subsp. carotovora SCC1. This was followed by an enhanced induction of SA-dependent defense genes and an increased resistance to this pathogen. Interestingly, little effect on the pathogen-induced SA accumulation at the early infection was observed, suggesting that action of ROS might potentiate SA signaling. In contrast, the pathogen-induced JA production was significantly reduced in the RNAi silenced plants. Moreover, JA signaling and resistance to Alternaria brassicicola were impaired. These observations provide support for the argument that the ROS generated in chloroplasts might have a negative impact on JA signaling. The over-expression of WRKY70 resulted in an enhanced resistance to E. carotovora subsp. carotovora SCC1, Pseudomonas syringae pv. tomato DC3000 and Erysiphe cichoracearum UCSC1, whilst an antisense suppression or an insertional inactivation of WRKY70 led to a compromised resistance to E. carotovora subsp. carotovora SCC1 and to E. cichoracearum UCSC1 but not to P. syringae pv. tomato DC3000. Gene expression analysis revealed that WRKY70 activated many known defense-related genes associated with the SAR response but suppressed a subset of the JA-responsive genes. In particular, I was able to show that both the basal and the induced expression of AtCLH1 was enhanced by the antisense silencing or the insertional inactivation of WRKY70, whereas a reduction in AtCLH1 expression was observed in the WRKY70 over-expressors following an MeJA application or an A. brassicicola infection. Moreover, the SA-induced suppression of AtCLH1 was relieved in wrky70 mutants. These results indicate that WRKY70 down-regulates AtCLH1. An epistasis analysis suggested that WRKY70 functions downstream of the NPR1 in an SA-dependent signaling pathway. When challenged with A. brassicicola, WRKY70 over-expressing plants exhibited a compromised disease resistance while wrky70 mutants had the opposite effect. These results confirmed the WRKY70-mediated inhibitory effects on JA signaling. Furthermore, the WRKY70-controlled suppression of A. brassicicola resistance was mainly through an NPR1-dependent mechanism. Taking all the data together, I suggest that the pathogen-responsive transcription factor WRKY70 is a common component in both SA- and JA-dependent pathways and plays a crucial role in the SA-mediated suppression of JA signaling.

The Role of UPF0157 in the Folding of M-tuberculosis Dephosphocoenzyme A Kinase and the Regulation of the Latter by CTP

Background: Targeting the biosynthetic pathway of Coenzyme A (CoA) for drug development will compromise multiple cellular functions of the tubercular pathogen simultaneously. Structural divergence in the organization of the penultimate and final enzymes of CoA biosynthesis in the host and pathogen and the differences in their regulation mark out the final enzyme, dephosphocoenzyme A kinase (CoaE) as a potential drug target. Methodology/Principal Findings: We report here a complete biochemical and biophysical characterization of the M. tuberculosis CoaE, an enzyme essential for the pathogen's survival, elucidating for the first time the interactions of a dephosphocoenzyme A kinase with its substrates, dephosphocoenzyme A and ATP; its product, CoA and an intrinsic yet novel inhibitor, CTP, which helps modulate the enzyme's kinetic capabilities providing interesting insights into the regulation of CoaE activity. We show that the mycobacterial enzyme is almost 21 times more catalytically proficient than its counterparts in other prokaryotes. ITC measurements illustrate that the enzyme follows an ordered mechanism of substrate addition with DCoA as the leading substrate and ATP following in tow. Kinetic and ITC experiments demonstrate that though CTP binds strongly to the enzyme, it is unable to participate in DCoA phosphorylation. We report that CTP actually inhibits the enzyme by decreasing its Vmax. Not surprisingly, a structural homology search for the modeled mycobacterial CoaE picks up cytidylmonophosphate kinases, deoxycytidine kinases, and cytidylate kinases as close homologs. Docking of DCoA and CTP to CoaE shows that both ligands bind at the same site, their interactions being stabilized by 26 and 28 hydrogen bonds respectively. We have also assigned a role for the universal Unknown Protein Family 0157 (UPF0157) domain in the mycobacterial CoaE in the proper folding of the full length enzyme. Conclusions/Significance: In view of the evidence presented, it is imperative to assign a greater role to the last enzyme of Coenzyme A biosynthesis in metabolite flow regulation through this critical biosynthetic pathway.

Structure-Based Phylogeny as a Diagnostic for Functional Characterization of Proteins with a Cupin Fold

Background: The members of cupin superfamily exhibit large variations in their sequences, functions, organization of domains, quaternary associations and the nature of bound metal ion, despite having a conserved beta-barrel structural scaffold. Here, an attempt has been made to understand structure-function relationships among the members of this diverse superfamily and identify the principles governing functional diversity. The cupin superfamily also contains proteins for which the structures are available through world-wide structural genomics initiatives but characterized as ``hypothetical''. We have explored the feasibility of obtaining clues to functions of such proteins by means of comparative analysis with cupins of known structure and function. Methodology/Principal Findings: A 3-D structure-based phylogenetic approach was undertaken. Interestingly, a dendrogram generated solely on the basis of structural dissimilarity measure at the level of domain folds was found to cluster functionally similar members. This clustering also reflects an independent evolution of the two domains in bicupins. Close examination of structural superposition of members across various functional clusters reveals structural variations in regions that not only form the active site pocket but are also involved in interaction with another domain in the same polypeptide or in the oligomer. Conclusions/Significance: Structure-based phylogeny of cupins can influence identification of functions of proteins of yet unknown function with cupin fold. This approach can be extended to other proteins with a common fold that show high evolutionary divergence. This approach is expected to have an influence on the function annotation in structural genomics initiatives.

Beyond fractional derivatives: local approximation of other convolution integrals

Dynamic systems involving convolution integrals with decaying kernels, of which fractionally damped systems form a special case, are non-local in time and hence infinite dimensional. Straightforward numerical solution of such systems up to time t needs O(t(2)) computations owing to the repeated evaluation of integrals over intervals that grow like t. Finite-dimensional and local approximations are thus desirable. We present here an approximation method which first rewrites the evolution equation as a coupled in finite-dimensional system with no convolution, and then uses Galerkin approximation with finite elements to obtain linear, finite-dimensional, constant coefficient approximations for the convolution. This paper is a broad generalization, based on a new insight, of our prior work with fractional order derivatives (Singh & Chatterjee 2006 Nonlinear Dyn. 45, 183-206). In particular, the decaying kernels we can address are now generalized to the Laplace transforms of known functions; of these, the power law kernel of fractional order differentiation is a special case. The approximation can be refined easily. The local nature of the approximation allows numerical solution up to time t with O(t) computations. Examples with several different kernels show excellent performance. A key feature of our approach is that the dynamic system in which the convolution integral appears is itself approximated using another system, as distinct from numerically approximating just the solution for the given initial values; this allows non-standard uses of the approximation, e. g. in stability analyses.

Novel matrix metalloproteinases in intestinal inflammation and in cancer of the gastrointestinal tract

Matrix metalloproteinases (MMPs) comprise a family of 23 zinc-dependent human endopeptidases that can degrade virtually all components of the extracellular matrix (ECM). They are classified into eight subgroups according to their structure and into six subgroups based on their substrate-specificity. MMPs have been implicated in inflammation, tissue destruction, cell migration, arthritis, vascular remodeling, angiogenesis, and tumor growth and invasion. MMPs are inhibited by their natural inhibitors, tissue inhibitors of metalloproteinases (TIMPs). Different MMPs function in the same tasks depending on the tissue or cancer subtype. I investigated the role of recently discovered MMPs, especially MMPs-19 and -26, in intestinal inflammation, in intestinal and cutaneous wound healing, and in intestinal cancer. Several MMPs and TIMPs were studied to determine their exact location at tissue level and to obtain information on possible functions of MMPs in such tissues and diseases as the healthy intestine, inflammatory bowel disease (IBD), neonatal necrotizing enterocolitis (NEC), pyoderma gangrenosum (PG), and colorectal as well as pancreatic cancers. In latent celiac disease (CD), I attempted to identify markers to predict later onset of CD in children and adolescents. The main methods used were immunohistochemistry, in situ hybridization, and Taqman RT-PCR. My results show that MMP-26 is important for re-epithelialization in intestinal and cutaneous wound healing. In colon and pancreatic cancers, MMP-26 seems to be a marker of invasive potential, although it is not itself expressed at the invasive front. MMP-21 is upregulated in pancreatic cancer and may be associated with tumor differentiation. MMPs-19 and -28 are associated with normal tissue turnover in the intestine, but they disappear in tumor progression as if they were protective markers . MMP-12 is an essential protease in intestinal inflammation and tissue destruction, as seen here in NEC and in previous CD studies. In patients with type 1 diabetes (T1D), MMPs-1, -3, and -12 were upregulated in the intestinal mucosa. Furthermore, MMP-7 was strongly elevated in NEC. In a model of aberrant wound repair, PG, MMPs-8, -9, and 10 and TNFα may promote ECM destruction, while absence of MMP-1 and MMP-26 from keratinocytes retards re-epithelialization. Based on my results, I suggest MMP-26 to be considered a putative marker for poor prognosis in pancreatic and colon cancer. However, since it functions differently in various tissues and tumor subtypes, this use cannot be generalized. Furthermore, MMP-26 is a beneficial marker for wound healing if expressed by migrating epithelial cells. MMP-12 expression in latent CD patients warrants research in a larger patient population to confirm its role as a specific marker for CD in pathologically indistinct cases. MMP-7 should be considered one of the most crucial proteases in NEC-associated tissue destruction; hence, specific inhibitors of this MMP are worth investigating. In PG, TNFα inhibitors are potential therapeutic agents, as shown already in clinical trials. In conclusion, studies of several MMPs in specific diseases and in healthy tissues are needed to elucidate their roles at the tissue level. MMPs and TIMPs are not exclusively destructive or reparative in tissues. They seem to function differently in different tissues. To identify selective MMP inhibitors, we must thoroughly understand the MMP profile (degradome) and their functions in various organs not to interfere with normal reparative functions during wound repair or beneficial host-response effects during cancer initiation and growth.

Interactions and turnover of the muscular dystrophy protein myotilin

The striated muscle sarcomere is a force generating and transducing unit as well as an important sensor of extracellular cues and a coordinator of cellular signals. The borders of individual sarcomeres are formed by the Z-disks. The Z-disk component myotilin interacts with Z-disk core structural proteins and with regulators of signaling cascades. Missense mutations in the gene encoding myotilin cause dominantly inherited muscle disorders, myotilinopathies, by an unknown mechanism. In this thesis the functions of myotilin were further characterized to clarify the molecular biological basis and the pathogenetic mechanisms of inherited muscle disorders, mainly caused by mutated myotilin. Myotilin has an important function in the assembly and maintenance of the Z-disks probably through its actin-organizing properties. Our results show that the Ig-domains of myotilin are needed for both binding and bundling actin and define the Ig domains as actin-binding modules. The disease-causing mutations appear not to change the interplay between actin and myotilin. Interactions between Z-disk proteins regulate muscle functions and disruption of these interactions results in muscle disorders. Mutations in Z-disk components myotilin, ZASP/Cypher and FATZ-2 (calsarcin-1/myozenin-2) are associated with myopathies. We showed that proteins from the myotilin and FATZ families interact via a novel and unique type of class III PDZ binding motif with the PDZ domains of ZASP and other Enigma family members and that the interactions can be modulated by phosphorylation. The morphological findings typical of myotilinopathies include Z-disk alterations and aggregation of dense filamentous material. The causes and mechanisms of protein aggregation in myotilinopathy patients are unknown, but impaired degradation might explain in part the abnormal protein accumulation. We showed that myotilin is degraded by the calcium-dependent, non-lysosomal cysteine protease calpain and by the proteasome pathway, and that wild type and mutant myotilin differ in their sensitivity to degradation. These studies identify the first functional difference between mutated and wild type myotilin. Furthermore, if degradation of myotilin is disturbed, it accumulates in cells in a manner resembling that seen in myotilinopathy patients. Based on the results, we propose a model where mutant myotilin escapes proteolytic breakdown and forms protein aggregates, leading to disruption of myofibrils and muscular dystrophy. In conclusion, the main results of this study demonstrate that myotilin is a Z-disk structural protein interacting with several Z-disk components. The turnover of myotilin is regulated by calpain and the ubiquitin proteasome system and mutations in myotilin seem to affect the degradation of myotilin, leading to protein accumulations in cells. These findings are important for understanding myotilin-linked muscle diseases and designing treatments for these disorders.

Functional transfer of Salmonella pathogenicity island 2 to Salmonella bongori and Escherichia coli.

The type III secretion system (T3SS) encoded by the Salmonella pathogenicity island 2 (SPI2) has a central role in systemic infections by Salmonella enterica and for the intracellular phenotype. Intracellular S. enterica uses the SPI2-encoded T3SS to translocate a set of effector proteins into the host cell, which modify host cell functions, enabling intracellular survival and replication of the bacteria. We sought to determine whether specific functions of the SPI2-encoded T3SS can be transferred to heterologous hosts Salmonella bongori and Escherichia coli Mutaflor, species that lack the SPI2 locus and loci encoding effector proteins. The SPI2 virulence locus was cloned and functionally expressed in S. bongori and E. coli. Here, we demonstrate that S. bongori harboring the SPI2 locus is capable of secretion of SPI2 substrate proteins under culture conditions, as well as of translocation of effector proteins under intracellular conditions. An SPI2-mediated cellular phenotype was induced by S. bongori harboring the SPI2 if the sifA locus was cotransferred. An interference with the host cell microtubule cytoskeleton, a novel SPI2-dependent phenotype, was observed in epithelial cells infected with S. bongori harboring SPI2 without additional effector genes. S. bongori harboring SPI2 showed increased intracellular persistence in a cell culture model, but SPI2 transfer was not sufficient to confer to S. bongori systemic pathogenicity in a murine model. Transfer of SPI2 to heterologous hosts offers a new tool for the study of SPI2 functions and the phenotypes of individual effectors.

Inducible nitric oxide synthase and control of intracellular bacterial pathogens

Inducible nitric oxide synthase (iNOS) has important functions in innate immunity and regulation of immune functions. Here, the role of iNOS in the pathogenesis of various intracellular bacterial infections is discussed. These pathogens have also evolved a broad array of strategies to repair damage by reactive nitrogen intermediates, and to suppress or inhibit functions of iNOS.

On the growth of the Bergman kernel near an infinite-type point

We study diagonal estimates for the Bergman kernels of certain model domains in C-2 near boundary points that are of infinite type. To do so, we need a mild structural condition on the defining functions of interest that facilitates optimal upper and lower bounds. This is a mild condition; unlike earlier studies of this sort, we are able to make estimates for non-convex pseudoconvex domains as well. Thisn condition quantifies, in some sense, how flat a domain is at an infinite-type boundary point. In this scheme of quantification, the model domains considered below range-roughly speaking-from being mildly infinite-type'' to very flat at the infinite-type points.

Geometry-free stochastic analysis of BDS triple frequency signals

The paper presents a geometry-free approach to assess the variation of covariance matrices of undifferenced triple frequency GNSS measurements and its impact on positioning solutions. Four independent geometryfree/ ionosphere-free (GFIF) models formed from original triple-frequency code and phase signals allow for effective computation of variance-covariance matrices using real data. Variance Component Estimation (VCE) algorithms are implemented to obtain the covariance matrices for three pseudorange and three carrier-phase signals epoch-by-epoch. Covariance results from the triple frequency Beidou System (BDS) and GPS data sets demonstrate that the estimated standard deviation varies in consistence with the amplitude of actual GFIF error time series. The single point positioning (SPP) results from BDS ionosphere-free measurements at four MGEX stations demonstrate an improvement of up to about 50% in Up direction relative to the results based on a mean square statistics. Additionally, a more extensive SPP analysis at 95 global MGEX stations based on GPS ionosphere-free measurements shows an average improvement of about 10% relative to the traditional results. This finding provides a preliminary confirmation that adequate consideration of the variation of covariance leads to the improvement of GNSS state solutions.

Determination of the thermodynamic stability of TiB2

The standard free energy of formation of titanium boride (TiB2) Was measured by the Electro Motive Force (EMF) method (by using yttria doped thoria (YDT) as the solid electrolyte). Two galvanic cells viz. Cell (I): Pt, TiB2 (s), TiO2 (s), B (s) vertical bar YDT vertical bar NiO (s), Ni (s), Pt and cell (II): Pt, TiB2 (s), TiO2 (s), B (s) vertical bar YDT vertical bar FeO (s). Fe (s), Pt were constructed in order to determine the Delta(f)G degrees, of TiB2. Enthalpy increments on TiB2 were measured by using inverse drop calorimetry over the temperature range 583-1769 K. The heat capacity, entropy and the free energy function have been derived from these experimental data in the temperature range 298-1800 K. The mean value of the standard enthalpy of formation of TiB2 (Delta H-f(298)degrees (TiB2)) was obtained by combining these Delta(f)G degrees, values and the free energy functions of TiB2 derived from the drop calorimetry data. The mean values of Delta H-f(298)degrees (TiB2) derived from the Delta(f)G degrees, data obtained from cell I and II were -322 +/- 1.2 kJ mol(-1) and -323.3 +/- 2.1 kJ mol(-1), respectively. These values were found to be in very good agreement with the assessed data. (C) 2009 Elsevier B.V. All rights reserved.