Review of continuum, finite element and hybrid techniques in the analysis of stress concentrations in structures

When a uniform flow of any nature is interrupted, the readjustment of the flow results in concentrations and rare-factions, so that the peak value of the flow parameter will be higher than that which an elementary computation would suggest. When stress flow in a structure is interrupted, there are stress concentrations. These are generally localized and often large, in relation to the values indicated by simple equilibrium calculations. With the advent of the industrial revolution, dynamic and repeated loading of materials had become commonplace in engine parts and fast moving vehicles of locomotion. This led to serious fatigue failures arising from stress concentrations. Also, many metal forming processes, fabrication techniques and weak-link type safety systems benefit substantially from the intelligent use or avoidance, as appropriate, of stress concentrations. As a result, in the last 80 years, the study and and evaluation of stress concentrations has been a primary objective in the study of solid mechanics. Exact mathematical analysis of stress concentrations in finite bodies presents considerable difficulty for all but a few problems of infinite fields, concentric annuli and the like, treated under the presumption of small deformation, linear elasticity. A whole series of techniques have been developed to deal with different classes of shapes and domains, causes and sources of concentration, material behaviour, phenomenological formulation, etc. These include real and complex functions, conformal mapping, transform techniques, integral equations, finite differences and relaxation, and, more recently, the finite element methods. With the advent of large high speed computers, development of finite element concepts and a good understanding of functional analysis, it is now, in principle, possible to obtain with economy satisfactory solutions to a whole range of concentration problems by intelligently combining theory and computer application. An example is the hybridization of continuum concepts with computer based finite element formulations. This new situation also makes possible a more direct approach to the problem of design which is the primary purpose of most engineering analyses. The trend would appear to be clear: the computer will shape the theory, analysis and design.

An appendix to the paper "approximation of the perturbation equations of a quasi-linear hyperbolic system in the neighborhood of a bicharacteristic"

The theory of Varley and Cumberbatch [l] giving the intensity of discontinuities in the normal derivatives of the dependent variables at a wave front can be deduced from the more general results of Prasad which give the complete history of a disturbance not only at the wave front but also within a short distance behind the wave front. In what follows we omit the index M in Eq. (2.25) of Prasad [2].

Finite field computation technique for exact solution of systems of linear equations and interval linear programming problems

An error-free computational approach is employed for finding the integer solution to a system of linear equations, using finite-field arithmetic. This approach is also extended to find the optimum solution for linear inequalities such as those arising in interval linear programming probloms.

Analytical method for solving a set of infinite simultaneous equations

It is shown that a method based on the principle of analytic continuation can be used to solve a set of infinite simultaneous equations encountered in solving for the electric field of a periodic electrode structure.

Functional studies of purified transmembrane proteases, omptins, of Yersinia pestis and Salmonella enterica.

Surface proteolysis is important in migration of cells through tissue barriers. In the case of prokaryotes, surface proteolysis has been associated with invasiveness of pathogenic bacteria from the primary infection site into circulation and secondary infection sites in the host. This study addressed surface proteases of two important bacterial pathogens, Yersinia pestis which is the causative agent of the lethal systemic zoonosis, plague, and Salmonella enterica serovar Typhimurium which is an oral-faecal pathogen that annually causes millions of cases of gastoenteritis that may develop to septicaemia. Both bacterial species express an ortholog of the omptin family of transmembrane β-barrel, outer membrane proteases/adhesins. This thesis work addressed the functions of isolated plasminogen activator Pla of Y. pestis and the PgtE omptin of S. enterica. Pla and PgtE were isolated as His6-fusion proteins in denaturing conditions from recombinant Escherichia coli and activated by adding lipopolysaccharide (LPS). The structural features in LPS that enhance plasminogen activation by His6-Pla were determined, and it was found that the lack of O-specifi c chain, the presence of outer core oligosaccharide, the presence of phosphates in lipid A, as well as a low level of acylation in lipid A influence the enhancement of Pla activity by LPS. A conserved lipid A phosphate binding motif in Pla and PgtE was found important for the enhancement of enzymatic activity by LPS. The results help to explain the biological signifi cance of the genetic loss of the O-specifi c chain biosynthesis in Y. pestis as well as the variations in LPS structure upon entry of Y. pestis into the human host. Expression of Pla in Y. pestis is associated with adhesiveness to lamin of basement membranes. Here, isolated and LPS-activated His6-Pla was coated onto fluorescent microparticles. The coating conferred specifi c adhesiveness of the particles to laminin and reconstituted basement membrane, thus confi rming the intrinsic adhesive characteristics of the Pla protein. The adhesiveness is thought to direct plasmin proteolysis at tissue barriers, thus increasing tissue damage and bacterial spread. Gelatinase activity has not been previously reported in enteric bacteria. Expression of PgtE in S. enterica was associated with cleavage of porcine skin gelatin, denaturated human type I collagen, as well as DQ-gelatin. Purifi ed His6-PgtE also degraded porcine skin gelatin and human type I gelatin but did not react with DQ-gelatin, indicating that minor differences are seen in proteolysis by isolated and cell-bound PgtE. Pla was less effective in gelatin degradation. The novel gelatinase activity in S. enterica is likely to enhance bacterial dissemination during infection.

Pathogenicity, functional significance and clinical phenotype of mismatch repair gene MSH2 variants found in cancer patients

DNA ja siinä sijaitsevat geenit ohjaavat kaikkea solujen toimintaa. DNA-molekyyleihin kuitenkin kertyy mutaatioita sekä ympäristön vaikutuksen, että solujen oman toiminnan tuloksena. Mikäli virheitä ei korjata, saattaa tuloksena olla solun muuttuminen syöpäsoluksi. Soluilla onkin käytössä useita DNA-virheiden korjausmekanismeja, joista yksi on ns. mismatch repair (MMR). MMR vastaa DNA:n kahdentumisessa syntyvien virheiden korjauksesta. Periytyvät mutaatiot geeneissä, jotka vastaavat MMR-proteiinien rakentamisesta, aiheuttavat ongelmia DNA:n korjauksessa ja altistavat kantajansa periytyvälle ei-polypoottiselle paksusuolisyöpäoireyhtymälle (hereditary nonpolyposis colorectal cancer, HNPCC). Yleisimmin mutatoituneet MMR-geenit ovat MLH1 ja MSH2. HNPCC periytyy vallitsevasti, eli jo toiselta vanhemmalta peritty geenivirhe altistaa syövälle. MMR-geenivirheen kantaja sairastuu syöpään elämänsä aikana suurella todennäköisyydellä, ja sairastumisikä on vain noin 40 vuotta. Syövälle altistavan geenivirheen löytäminen mutaation kantajilta on hyvin tärkeää, sillä säännöllinen seuranta mahdollistaa kehittymässä olevan kasvaimen havaitsemisen ja poistamisen jo aikaisessa vaiheessa. Tämän on osoitettu alentavan syöpäkuolleisuutta merkittävästi. Varma tieto altistuksen alkuperästä on tärkeä myös niille syöpäsuvun jäsenille, jotka eivät kanna kyseistä mutaatiota. Syövälle altistavien mutaatioiden ohella MMR-geeneistä löydetään säännöllisesti muutoksia, jotka ovat normaalia henkilöiden välistä geneettistä vaihtelua, eikä niiden oleteta lisäävän syöpäaltistusta. Altistavien mutaatioiden erottaminen näistä neutraaleista variaatioista on vaikeaa, mutta välttämätöntä altistuneiden tehokkaan seurannan varmistamiseksi. Tässä väitöskirjassa tutkittiin 18:a MSH2 -geenin mutaatiota. Mutaatiot oli löydetty perheistä, joissa esiintyi paljon syöpiä, mutta niiden vaikutus DNA:n korjaustehoon ja syöpäaltistukseen oli epäselvä. Työssä tutkittiin kunkin mutaation vaikutusta MSH2-proteiinin normaaliin toimintaan, ja tuloksia verrattiin potilaiden ja sukujen kliinisiin tietoihin. Tutkituista mutaatiosta 12 aiheutti puutteita MMR-korjauksessa. Nämä mutaatiot tulkittiin syövälle altistaviksi. Analyyseissä normaalisti toimineet 4 mutaatiota eivät todennäköisesti ole syynä syövän syntyyn kyseisillä perheillä. Tulkinta jätettiin avoimeksi 2 mutaation kohdalla. Tutkimuksesta hyötyivät suoraan kuvattujen mutaatioiden kantajaperheet, joiden geenivirheen syöpäaltistuksesta saatiin tietoa, mahdollistaen perinnöllisyysneuvonnan ja seurannan kohdentamisen sitä tarvitseville. Työ selvensi myös mekanismeja, joilla mutatoitunut MSH2-proteiini voi menettää toimintakykynsä.

Functional dissection of alternative secretory pathways in the yeast S. cerevisiae

Eukaryotic cells are characterized by having a subset of internal membrane compartments, each one with a specifi c identity, structure and function. Proteins destined to be targeted to the exterior of the cell need to enter and progress through the secretory pathway. Transport of secretory proteins from the endoplasmic reticulum (ER) to the Golgi takes place by the selective packaging of proteins into COPII-coated vesicles at the ER membrane. Taking advantage of the extensive genetic tools available for S. cerevisiae we found that Hsp150, a yeast secretory glycoprotein, selectively exited the ER in the absence of any of the three Sec24p family members. Sec24p has been thought to be an essential component of the COPII coat and thus indispensable for exocytic membrane traffic. Next we analyzed the ability of Hsp150 to be secreted in mutants, where post-Golgi transport is temperature sensitive. We found that Hsp150 could be selectively secreted under conditions where the exocyst component Sec15p is defective. Analysis of the secretory vesicles revealed that Hsp150 was packaged into a subset of known secretory vesicles as well as in a novel pool of secretory vesicles at the level of the Golgi. Secretion of Hsp150 in the absence of Sec15p function was dependent of Mso1p, a protein capable of interacting with vesicles intended to fuse with the plasma membrane, with the SNARE machinery and with Sec1p. This work demonstrated that Hsp150 is capable of using alternative secretory pathways in ER-to-Golgi and Golgi-to-plasma membrane traffi c. The sorting signals, used at both stages of the secretory pathway, for secretion of Hsp150 were different, revealing the highly dynamic nature and spatial organization of the secretory pathway. Foreign proteins usually misfold in the yeast ER. We used Hsp150 as a carrier to assist folding and transport of heterologous proteins though the secretory pathway to the culture medium in both S. cerevisiae and P. pastoris. Using this technique we expressed Hsp150Δ-HRP and developed a staining procedure, which allowed the visualization of the organelles of the secretory pathway of S. cerevisiae.

Structural and functional roles of KCC2 in developing cortex

Cation chloride cotransporters (CCCs) are critical for controlling intracellular chloride homeostasis. The CCC family is composed of four isoforms of K-Cl cotransporters (KCC1-4), two isoforms of Na-K-2Cl cotransporters (NKCC1-2), one Na-Cl cotransporter (NCC) and two the structurally related proteins with unknown function, CCC8 also known as cation-chloride cotransporter interaction protein, CIP, and CCC9. KCC2 is a neuron-specific isoform, which plays a prominent role in controlling the intracellular Cl- concentration in neurons and is responsible for producing the negative shift of GABAA responses from depolarizing to hyperpolarizing during neuronal maturation. In the present studies we first used in situ hybridization to examine the developmental expression patterns of the cation-chloride cotransporters KCC1-4 and NKCC1. We found that they display complementary expression patterns during embryonic brain development. Most interestingly, KCC2 expression in the embryonic central nervous system strictly follows neuronal maturation. In vitro data obtained from primary and organotypic neuronal cultures support this finding and revealed a temporal correlation between the expression of KCC2 and synaptogenesis. We found that KCC2 is highly expressed in filopodia and mature spines as well as dendritic shaft and investigated the role of KCC2 in spine formation by analyzing KCC2-/- neurons in vitro. Our studies revealed that KCC2 is a key factor in the maturation of dendritic spines. Interestingly, the effect of KCC2 in spine formation is not due to Cl- transport activity, but mediated through the interaction between KCC2 C-terminal and intracellular protein associated with cytoskeleton. The interacting protein we found is protein 4.1N by immunoprecipitation. Our results indicate a structural role for KCC2 in the development of functional glutamatergic synapses and suggest KCC2 as a synchronizer for the functional development of glutamatergic and GABAergic synapses in neuronal network. Studies on the regulatory mechanisms of KCC2 expression during development and plasticity revealed that synaptic activity of both the glutamatergic and GABAergic system is not required for up-regulation of KCC2 during development, whereas in acute mature hippocampal slices which undergo continuous synchronous activity induced by the absence of Mg2+ solution, KCC2 mRNA and protein expression were down-regulated in CA1 pyramidal neurons subsequently leading to a reduced capacity for neuronal Cl- extrusion. This effect is mediated by endogenous BDNF-TrkB down-stream cascades involving both Shc/FRS-2 and PLCγ-CREB signaling. BDNF mediated changes in KCC2 expression indicate that KCC2 is significantly involved in the complex mechanisms of neuronal plasticity during development and pathophysiological conditions.

A Finite Variable Difference Relaxation Scheme for hyperbolic-parabolic equations

Using the framework of a new relaxation system, which converts a nonlinear viscous conservation law into a system of linear convection-diffusion equations with nonlinear source terms, a finite variable difference method is developed for nonlinear hyperbolic-parabolic equations. The basic idea is to formulate a finite volume method with an optimum spatial difference, using the Locally Exact Numerical Scheme (LENS), leading to a Finite Variable Difference Method as introduced by Sakai [Katsuhiro Sakai, A new finite variable difference method with application to locally exact numerical scheme, journal of Computational Physics, 124 (1996) pp. 301-308.], for the linear convection-diffusion equations obtained by using a relaxation system. Source terms are treated with the well-balanced scheme of Jin [Shi Jin, A steady-state capturing method for hyperbolic systems with geometrical source terms, Mathematical Modeling Numerical Analysis, 35 (4) (2001) pp. 631-645]. Bench-mark test problems for scalar and vector conservation laws in one and two dimensions are solved using this new algorithm and the results demonstrate the efficiency of the scheme in capturing the flow features accurately.

Structural and Functional Studies on Trimeric Autotransporters

Trimeric autotransporters are a family of secreted outer membrane proteins in Gram-negative bacteria. These obligate homotrimeric proteins share a conserved C-terminal region, termed the translocation unit. This domain consists of an integral membrane β-barrel anchor and associated α-helices which pass through the pore of the barrel. The α-helices link to the extracellular portion of the protein, the passenger domain. Autotransportation refers to the way in which the passenger domain is secreted into the extracellular space. It appears that the translocation unit mediates the transport of the passenger domain across the outer membrane, and no external factors, such as ATP, ion gradients nor other proteins, are required. The passenger domain of autotransporters contains the specific activities of each protein. These are usually related to virulence. In trimeric autotransporters, the main function of the proteins is to act as adhesins. One such protein is the Yersinia adhesin YadA, found in enteropathogenic species of Yersinia. The main activity of YadA from Y. enterocolitica is to bind collagen, and it also mediates adhesion to other molecules of the extracellular matrix. In addition, YadA is involved in serum resistance, phagocytosis resistance, binding to epithelial cells and autoagglutination. YadA is an essential virulence factor of Y. enterocolitica, and removal of this protein from the bacteria leads to avirulence. In this study, I investigated the YadA-collagen interaction by studying the binding of YadA to collagen-mimicking peptides by several biochemical and biophysical methods. YadA bound as tightly to the triple-helical model peptide (Pro-Hyp-Gly)10 as to native collagen type I. However, YadA failed to bind a similar peptide that does not form a collagenous triple helix. As (Pro-Hyp-Gly)10 does not contain a specific sequence, we concluded that a triple-helical conformation is necessary for YadA binding, but no specific sequence is required. To further investigate binding determinants for YadA in collagens, I examined the binding of YadA to a library of collagen-mimicking peptides that span the entire triple-helical sequences of human collagens type II and type III. YadA bound promiscuously to many but not all peptides, indicating that a triple-helical conformation alone is not sufficient for binding. The high-binding peptides did not share a clear binding motif, but these peptides were rich in hydroxyproline residues and contained a low number of charged residues. YadA thus binds collagens without sequence specificity. This strategy of promiscuous binding may be advantageous for pathogenic bacteria. The Eib proteins from Escherichia coli are immunoglobulin (Ig)-binding homologues of YadA. I showed conclusively that recombinant EibA, EibC, EibD and EibF bind to IgG Fc. I crystallised a fragment of the passenger domain of EibD, which binds IgA in addition to IgG. The structure has a YadA-like head domain and an extended coiled-coil stalk. The top half of the coiled-coil is right-handed with hendecad periodicity, whereas the lower half is a canonical left-handed coiled-coil. At the transition from right- to left-handedness, a small β-sheet protrudes from each monomer. I was able to map the binding regions for IgG and IgA using truncations and site-directed mutagenesis to the coiled-coil stalk and identified residues critical for Ig binding.

Mu in vitro Transposition Technology in Functional Genetics and Genomics: Applications on Mouse and Bacteriophages

Transposons are mobile elements of genetic material that are able to move in the genomes of their host organisms using a special form of recombination called transposition. Bacteriophage Mu was the first transposon for which a cell-free in vitro transposition reaction was developed. Subsequently, the reaction has been refined and the minimal Mu in vitro reaction is useful in the generation of comprehensive libraries of mutant DNA molecules that can be used in a variety of applications. To date, the functional genetics applications of Mu in vitro technology have been subjected to either plasmids or genomic regions and entire genomes of viruses cloned on specific vectors. This study expands the use of Mu in vitro transposition in functional genetics and genomics by describing novel methods applicable to the targeted transgenesis of mouse and the whole-genome analysis of bacteriophages. The methods described here are rapid, efficient, and easily applicable to a wide variety of organisms, demonstrating the potential of the Mu transposition technology in the functional analysis of genes and genomes. First, an easy-to-use, rapid strategy to generate construct for the targeted mutagenesis of mouse genes was developed. To test the strategy, a gene encoding a neuronal K+/Cl- cotransporter was mutagenised. After a highly efficient transpositional mutagenesis, the gene fragments mutagenised were cloned into a vector backbone and transferred into bacterial cells. These constructs were screened with PCR using an effective 3D matrix system. In addition to traditional knock-out constructs, the method developed yields hypomorphic alleles that lead into reduced expression of the target gene in transgenic mice and have since been used in a follow-up study. Moreover, a scheme is devised to rapidly produce conditional alleles from the constructs produced. Next, an efficient strategy for the whole-genome analysis of bacteriophages was developed based on the transpositional mutagenesis of uncloned, infective virus genomes and their subsequent transfer into susceptible host cells. Mutant viruses able to produce viable progeny were collected and their transposon integration sites determined to map genomic regions nonessential to the viral life cycle. This method, applied here to three very different bacteriophages, PRD1, ΦYeO3 12, and PM2, does not require the target genome to be cloned and is directly applicable to all DNA and RNA viruses that have infective genomes. The method developed yielded valuable novel information on the three bacteriophages studied and whole-genome data can be complemented with concomitant studies on individual genes. Moreover, end-modified transposons constructed for this study can be used to manipulate genomes devoid of suitable restriction sites.