Exact property estimation from diffusion Monte Carlo with minimal stochastic reconfiguration /

Our objective is to develop a diffusion Monte Carlo (DMC) algorithm to estimate the exact expectation values, ($o|^|^o), of multiplicative operators, such as polarizabilities and high-order hyperpolarizabilities, for isolated atoms and molecules. The existing forward-walking pure diffusion Monte Carlo (FW-PDMC) algorithm which attempts this has a serious bias. On the other hand, the DMC algorithm with minimal stochastic reconfiguration provides unbiased estimates of the energies, but the expectation values ($o|^|^) are contaminated by ^, an user specified, approximate wave function, when A does not commute with the Hamiltonian. We modified the latter algorithm to obtain the exact expectation values for these operators, while at the same time eliminating the bias. To compare the efficiency of FW-PDMC and the modified DMC algorithms we calculated simple properties of the H atom, such as various functions of coordinates and polarizabilities. Using three non-exact wave functions, one of moderate quality and the others very crude, in each case the results are within statistical error of the exact values.

Calculation of the magnetic field penetration depth for high-Tc cuprate superconductors based on the Interlayer Pair Tunneling model /

In this work, the magnetic field penetration depth for high-Tc cuprate superconductors is calculated using a recent Interlayer Pair Tunneling (ILPT) model proposed by Chakravarty, Sudb0, Anderson, and Strong [1] to explain high temperature superconductivity. This model involves a "hopping" of Cooper pairs between layers of the unit cell which acts to amplify the pairing mechanism within the planes themselves. Recent work has shown that this model can account reasonably well for the isotope effect and the dependence of Tc on nonmagnetic in-plane impurities [2] , as well as the Knight shift curves [3] and the presence of a magnetic peak in the neutron scattering intensity [4]. In the latter case, Yin et al. emphasize that the pair tunneling must be the dominant pairing mechanism in the high-Tc cuprates in order to capture the features found in experiments. The goal of this work is to determine whether or not the ILPT model can account for the experimental observations of the magnetic field penetration depth in YBa2Cu307_a7. Calculations are performed in the weak and strong coupling limits, and the efi"ects of both small and large strengths of interlayer pair tunneling are investigated. Furthermore, as a follow up to the penetration depth calculations, both the neutron scattering intensity and the Knight shift are calculated within the ILPT formalism. The aim is to determine if the ILPT model can yield results consistent with experiments performed for these properties. The results for all three thermodynamic properties considered are not consistent with the notion that the interlayer pair tunneling must be the dominate pairing mechanism in these high-Tc cuprate superconductors. Instead, it is found that reasonable agreement with experiments is obtained for small strengths of pair tunneling, and that large pair tunneling yields results which do not resemble those of the experiments.

Arsenic speciation by ion-exchange chromatography with on- line determination by hydride generation: electronic modification of the D.C. plasma by photon counting

A method using L-cysteine for the determination of arsenous acid (As(III)), arsenic acid (As(V)), monomethylarsonic acid (MMAA), and dimethylarsinic acid (DMAA) by hydride generation was demonstrated. The instrument used was a d.c. plasma atomic emission spectrometer (OCP-AES). Complete recovery was reported for As(III), As(V), and DMAA while 86% recovery was reported for MMAA. Detection limits were determined, as arsenic for the species listed previously, to be 1.2, 0.8, 1.1, and 1.0 ngemL-l, respectively. Precision values, at 50 ngemL-1 arsenic concentration, were f.80/0, 2.50/0, 2.6% and 2.6% relative standard deviation, respectively. The L-cysteine reagent was compared directly with the conventional hydride generation technique which uses a potassium iodide-hydrochloric acid medium. Recoveries using L-cysteine when compared with the conventional method provided the following results: similar recoveries were obtained for As(III), slightly better recoveries were obtained for As(V) and MMAA, and significantly better recoveries for DMAA. In addition, tall and sharp peak shapes were observed for all four species when using L-cysteine. The arsenic speciation method involved separation by ion exchange .. high perfonnance liquid chromatography (HPLC) with on-line hydride generation using the L.. cysteine reagent and measurement byOCP-AES. Total analysis time per sample was 12 min while the time between the start of subsequent runs was approximately 20 min. A binary . gradient elution program, which incorporated the following two eluents: 0.01 and 0.5 mM tri.. sodium citrate both containing 5% methanol (v/v) and both at a pH of approximately 9, was used during the separation by HPLC. Recoveries of the four species which were measured as peak area, and were normalized against As(III), were 880/0, 290/0, and 40% for DMAA, MMAA and As(V), respectively. Resolution factors between adjacent analyte peaks of As(III) and DMAA was 1.1; DMAA and MMAA was 1.3; and MMAA and As(V) was 8.6. During the arsenic speciation study, signals from the d.c. plasma optical system were measured using a new photon-signal integrating device. The_new photon integrator developed and built in this laboratory was based on a previously published design which was further modified to reflect current available hardware. This photon integrator was interfaced to a personal computer through an AID convertor. The .photon integrator has adjustable threshold settings and an adjustable post-gain device.

A treatment of atomic mean square displacement in higher order perturbation theory

A general derivation of the anharmonic coefficients for a periodic lattice invoking the special case of the central force interaction is presented. All of the contributions to mean square displacement (MSD) to order 14 perturbation theory are enumerated. A direct correspondance is found between the high temperature limit MSD and high temperature limit free energy contributions up to and including 0(14). This correspondance follows from the detailed derivation of some of the contributions to MSD. Numerical results are obtained for all the MSD contributions to 0(14) using the Lennard-Jones potential for the lattice constants and temperatures for which the Monte Carlo results were calculated by Heiser, Shukla and Cowley. The Peierls approximation is also employed in order to simplify the numerical evaluation of the MSD contributions. The numerical results indicate the convergence of the perturbation expansion up to 75% of the melting temperature of the solid (TM) for the exact calculation; however, a better agreement with the Monte Carlo results is not obtained when the total of all 14 contributions is added to the 12 perturbation theory results. Using Peierls approximation the expansion converges up to 45% of TM• The MSD contributions arising in the Green's function method of Shukla and Hubschle are derived and enumerated up to and including 0(18). The total MSD from these selected contributions is in excellent agreement with their results at all temperatures. Theoretical values of the recoilless fraction for krypton are calculated from the MSD contributions for both the Lennard-Jones and Aziz potentials. The agreement with experimental values is quite good.

Development of packaging cell lines for rescuing BAV2 viral vectors

The construction of adenovirus vectors for cloning and foreign gene expression requires packaging cell lines that can complement missing viral functions caused by sequence deletions and/or replacement with foreign DNA sequences. In this study, packaging cell lines were designed to provide in trans the missing bovine adenovirus functions, so that recombinant viruses could be generated. Fetal bovine kidney and lUng cells, acquired at the trimester term from a pregnant cow, were tranfected with both digested wild type BAV2 genomic DNA and pCMV-EI. The plasmid pCMV-EI was specifically constructed to express El of BAV2 under the control of the cytomegalovirus enhancer/promoter (CMV). Selection for "true" transformants by continuous passaging showed no success in isolating immortalised cells, since the cells underwent crisis resulting in complete cell death. Moreover, selection for G418 resistance, using the same cells, also did not result in the isolation of an immortalised cell line and the same culture-collapse event was observed. The lack of success in establishing an immortalised cell line from fetal tissue prompted us to transfect a pre-established cell line. We began by transfecting MDBK (Mardin-Dardy bovine kidney) cells with pCMV-El-neo, which contain the bacterial selectable marker neo gene. A series of MDBK-derived cell lines, that constitutively express bovine adenoviral (BAV) early region 1 (El), were then isolated. Cells selected for resistance to the drug G418 were isolated collectively for full characterisation to assess their suitability as packaging cell lines. Individual colonies were isolated by limiting dilution and further tested for El expression and efficiency of DNA uptake. Two cell lines, L-23 and L-24, out of 48 generated foci tested positive for £1 expression using Northern Blot analysis. DNA uptake studies, using both lipofectamine and calcium phosphate methods, were performed to compare these cells, their parental MDBK cells, 8 and the unrelated human 293 cells as a benchmark. The results revealed that the new MDBKderived clones were no more efficient than MDBK cells in the transient expression of transfected DNA and that they were inferior to 293 cells, when using lacZ as the reporter gene. In view of the inherently poor transfection efficiency of MDBK cells and their derivatives, a number of other bovine cells were investigated for their potential as packaging cells. The cell line CCL40 was chosen for its high efficiency in DNA uptake and subsequently transfected with the plasmid vector pCMV El-neo. By selection with the drug G418, two cell lines were isolated, ProCell 1 and ProCell 2. These cell lines were tested for El expression, permissivity to BAV2 and DNA uptake efficiency, revealing a DNA uptake efficiency of 37 % , comparable to that of CCL40. Attempts to rescue BAV2 mutants carrying the lacZ gene in place of £1 or £3 were carried out by co-transfecting wild type viral DNA with either the plasmid pdlElE-Z (which contains BAV2 sequences from 0% to 40.4% with the lacZ gene in place of the £1 region from 1.1% to 8.25%) or with the plasmid pdlE3-5-Z (which contains BAV2 sequences from 64.8% to 100% with the lacZ gene in place of the E3 region from 75.8% to 81.4%). These cotransfections did not result in the generation of a viral mutant. The lack of mutant generation was thought to be caused by the relative inefficiency ofDNA uptake. Consequently, cosBAV2, a cosmid vector carrying the BAV2 genome, was modified to carry the neo reporter gene in place of the £3 region from 75.8% to 81.4%. The use of a single cosmid vector earring the whole genome would eliminate the need for homologous recombination in order to generate a viral vector. Unfortunately, the transfection of cosBAV2- neo also did not result in the generation of a viral mutant. This may have been caused by the size of the £3 deletion, where excess sequences that are essential to the virus' survival might have been deleted. As an extension to this study, the spontaneous E3 deletion, accidently discovered in our viral stock, could be used as site of foreign gene insertion.

Engineering an improved adenovirus packaging cell line

Recombinant human adenovirus (Ad) vectors are being extensively explored for their use in gene therapy and recombinant vaccines. Ad vectors are attractive for many reasons, including the fact that (1) they are relatively safe, based on their use as live oral vaccines, (2) they can accept large transgene inserts, (3) they can infect dividing and postmitotic cells, and (4) they can be produced to high titers. However, there are also a number of major problems associated with Ad vectors, including transient foreign gene expression due to host cellular immune responses, problems with humoral immunity, and the creation of replication competent adenoviruses (RCA). Most Ad vectors contain deletions in the E1 region that allow for insertion of a transgene. However, the E1 gene products are required for replication and thus must be supplied in trans by a helper ceillille that will allow for the growth and packaging of the defective virus. For this purpose the 293 cell line (Graham et al., 1977) is used most often; however, homologous recombination between the vector and the cell line often results in the generation of RCA. The presence of RCA in batches of adenoviral vectors for clinical use is a safety risk because tlley . may result in the mobilization and spread of the replication-defective vector viruses, and in significant tissue damage and pathogenicity. The present research focused on the alteration of the 293 cell line such that RCA formation can be eliminated. The strategy to modify the 293 cells involved the removal of the first 380 bp of the adenovirus genome through the process of homologous recombination. The first step towards this goal involved identifying and cloning the left-end cellular-viral jUl1ction from 293 cells to assemble sequences required for homologous recombination. Polymerase chain reaction (PCR) was performed to clone the junction, and the clone was verified through sequencing. The plasn1id PAM2 was then constructed, which served as the targeting cassette used to modify the 293 cells. The cassette consisted of (1) the cellular-viral junction as the left-end region of homology, (2) the neo gene to use for positive selection upon tranfection into 293 cells, (3) the adenoviral genome from bp 380 to bp 3438 as the right-end region of homology, and (4) the HSV-tk gene to use for negative selection. The plasmid PAM2 was linearized to produce a double strand break outside the region of homology, and transfected into 293 cells using the calcium-phosphate technique. Cells were first selected for their resistance to the drug G418, and subsequently for their resistance to the drug Gancyclovir (GANC). From 17 transfections, 100 pools of G418f and GANCf cells were picked using cloning lings and expanded for screening. Genomic DNA was isolated from the pools and screened for the presence of the 380 bps using PCR. Ten of the most promising pools were diluted to single cells and expanded in order to isolate homogeneous cell lines. From these, an additional 100 G41Sf and GANef foci were screened. These preliminary screening results appear promising for the detection of the desired cell line. Future work would include further cloning and purification of the promising cell lines that have potentially undergone homologous recombination, in order to isolate a homogeneous cell line of interest.

Molecular dynamics calculation of mean square displacement in alkali metals and rare gas solids and comparison with lattice dynamics

Molec ul ar dynamics calculations of the mean sq ua re displacement have been carried out for the alkali metals Na, K and Cs and for an fcc nearest neighbour Lennard-Jones model applicable to rare gas solids. The computations for the alkalis were done for several temperatures for temperature vol ume a swell as for the the ze r 0 pressure ze ro zero pressure volume corresponding to each temperature. In the fcc case, results were obtained for a wide range of both the temperature and density. Lattice dynamics calculations of the harmonic and the lowe s t order anharmonic (cubic and quartic) contributions to the mean square displacement were performed for the same potential models as in the molecular dynamics calculations. The Brillouin zone sums arising in the harmonic and the quartic terms were computed for very large numbers of points in q-space, and were extrapolated to obtain results ful converged with respect to the number of points in the Brillouin zone.An excellent agreement between the lattice dynamics results was observed molecular dynamics and in the case of all the alkali metals, e~ept for the zero pressure case of CSt where the difference is about 15 % near the melting temperature. It was concluded that for the alkalis, the lowest order perturbation theory works well even at temperat ures close to the melting temperat ure. For the fcc nearest neighbour model it was found that the number of particles (256) used for the molecular dynamics calculations, produces a result which is somewhere between 10 and 20 % smaller than the value converged with respect to the number of particles. However, the general temperature dependence of the mean square displacement is the same in molecular dynamics and lattice dynamics for all temperatures at the highest densities examined, while at higher volumes and high temperatures the results diverge. This indicates the importance of the higher order (eg. ~* ) perturbation theory contributions in these cases.

On the formulation and the calculation of the harmonic contributions to the Debye-Waller factor in metals (sodium)

The algebraic expressions for the anharmonic contributions to the Debye-Waller factor up to 0(A ) and 0 L% ) £ where ^ is the scattering wave-vector] have been derived in a form suitable for cubic metals with small ion cores where the interatomic potential extends to many neighbours. This has been achieved in terms of various wave-vector dependent tensors, following the work of Shukla and Taylor (1974) on the cubic anharmonic Helmholtz free energy. The contribution to the various wave-vector dependent tensors from the coulomb and the electron-ion terms in the interatomic metallic potential has been obtained by the Ewald procedure. All the restricted multiple whole B r i l l o u i n zone (B.Z.) sums are reduced to single whole B.Z. sums by using the plane wave representation of the delta function. These single whole B.Z. sums are further reduced to the •%?? portion of the B.Z. following Shukla and Wilk (1974) and Shukla and Taylor (1974). Numerical calculations have been performed for sodium where the Born-Mayer term in the interatomic potential has been neglected because i t is small £ Vosko (1964)3 • *n o^er to compare our calculated results with the experimental results of Dawton (1937), we have also calculated the r a t io of the intensities at different temperatures for the lowest five reflections (110), (200), (220), (310) and (400) . Our calculated quasi-harmonic results agree reasonably well with the experimental results at temperatures (T) of the order of the Debye temperature ( 0 ). For T » © ^ 9 our calculated anharmonic results are found to be in good agreement with the experimental results.The anomalous terms in the Debye-Waller factor are found not to be negligible for certain reflections even for T ^ ©^ . At temperature T yy Op 9 where the temperature is of the order of the melting temperature (Xm) » "the anomalous terms are found to be important almost for all the f i ve reflections.

The principal in the high school: effectiveness in a climate of sharing

This pilot study developed a climate instrument which was administered in a sample of high schools in one board of education. Several tests were conducted i n order to determine the reliability and internal consistency of the instrument . The ability of the instrument to identify the demographic differences of school and gender was also tested. The relationship between leadership styles and an effective use of authority in creating a productive and rewarding work environment was the f ocus of t his study. Attitudes to leadership and perceived school morale were investigated in a demographic study, a climate survey, as well as a body of related literature. In light of the empirical research, an attempt was made to determine the extent to which the authority figure's behaviour and adopted leadership style contributed to a positive school climate : one in which t eachers were motivated to achieve to t he best of their abilities by way of their commitment and service. The tone of authority assumed by t he leader not only shapes the mood of the school environment but ultimately determines the efficiency and morale of t he teaching staff.

Automatic Structure Generation using Genetic Programming and Fractal Geometry

Three dimensional model design is a well-known and studied field, with numerous real-world applications. However, the manual construction of these models can often be time-consuming to the average user, despite the advantages o ffered through computational advances. This thesis presents an approach to the design of 3D structures using evolutionary computation and L-systems, which involves the automated production of such designs using a strict set of fitness functions. These functions focus on the geometric properties of the models produced, as well as their quantifiable aesthetic value - a topic which has not been widely investigated with respect to 3D models. New extensions to existing aesthetic measures are discussed and implemented in the presented system in order to produce designs which are visually pleasing. The system itself facilitates the construction of models requiring minimal user initialization and no user-based feedback throughout the evolutionary cycle. The genetic programming evolved models are shown to satisfy multiple criteria, conveying a relationship between their assigned aesthetic value and their perceived aesthetic value. Exploration into the applicability and e ffectiveness of a multi-objective approach to the problem is also presented, with a focus on both performance and visual results. Although subjective, these results o er insight into future applications and study in the fi eld of computational aesthetics and automated structure design.

An Interactive Theorem Prover for First-Order Dynamic Logic

Dynamic logic is an extension of modal logic originally intended for reasoning about computer programs. The method of proving correctness of properties of a computer program using the well-known Hoare Logic can be implemented by utilizing the robustness of dynamic logic. For a very broad range of languages and applications in program veri cation, a theorem prover named KIV (Karlsruhe Interactive Veri er) Theorem Prover has already been developed. But a high degree of automation and its complexity make it di cult to use it for educational purposes. My research work is motivated towards the design and implementation of a similar interactive theorem prover with educational use as its main design criteria. As the key purpose of this system is to serve as an educational tool, it is a self-explanatory system that explains every step of creating a derivation, i.e., proving a theorem. This deductive system is implemented in the platform-independent programming language Java. In addition, a very popular combination of a lexical analyzer generator, JFlex, and the parser generator BYacc/J for parsing formulas and programs has been used.

Explorações educacionais (educational explorations) : schooling experiences of second-generation Portuguese Canadian students

This study explores the stories and experiences of second-generation Portuguese Canadian secondary school students in Southern Ontario, Canada. The purpose of this research was to understand the educational experiences of students, specifically the successes, challenges, and struggles that the participants faced within the education system. Questions were also asked about identity issues and how participants perceived their identities influencing their educational experiences. Six Portuguese Canadian students in grades 9 to 11 were interviewed twice. The interviews ranged from 45 minutes to 90 minutes in length. Data analysis of qualitative, open-ended interviews, research journals, field notes and curricular documents yielded understandings about the participants' experiences and challenges in the education system. Eight themes emerged from data that explored the realities of everyday life for second-generatiop Portuguese Canadian students. These themes include: influences of part-time work on schooling, parental involvement, the teacher is key, challenges and barriers, the importance of peers, Portuguese Canadian identity, lack of focus on identity in curricul:um content, and the dropout problem. Recommendations in this study include the need for more community-based programs to assist students. Furthermore, teachers are encouraged to utilize strategies and curriculum resources that engage learners and integrate their histories and identities. Educators are encouraged to question power dynamics both inside and outside the school system. There is also a need for further research with Portuguese Canadian students who are struggling in the education system as well as an examination of the number of hours that students work.

Creating a Generation of Upstanders: Curriculum Resource to Help Ontario Educators Build Safe Schools

This project focuses on the bullying found in the 21st century elementary classrooms, more specifically in grades 4-8. These grades were found to have high levels of bullying because of major shifts in a student’s life that may place a student of this age at risk for problems with their peer relationships (Totura et al., 2009). Supporting the findings in the literature review, this handbook was created for Ontario grade 4-8 classroom teachers. The resource educates teachers on current knowledge of classroom bullying, and provides them with information and resources to share with their students so that they can create a culture of upstanders. Upstanders are students who stand up for the victims of bullying, and have the self-esteem and strategies to stand up to classroom bullies. These upstanders, with the support of their classroom teachers and their peers, will be a force strong enough to build the government-mandated Safe School environment.

Creating a Generation of Upstanders: Curriculum Resource to Help Ontario Educators Build Safe Schools

This project focuses on the bullying found in the 21st century elementary classrooms, more specifically in grades 4-8. These grades were found to have high levels of bullying because of major shifts in a student’s life that may place a student of this age at risk for problems with their peer relationships (Totura et al., 2009). Supporting the findings in the literature review, this handbook was created for an Ontario grade 4-8 classroom teachers. The resource educates teachers on current knowledge of classroom bullying, and provides them with information and resources to share with their students so that they can create a culture of upstanders. Upstanders are students who stand up for the victims of bullying, and have the self-esteem and strategies to stand up to classroom bullies. These upstanders, with the support of their classroom teachers and their peers, will be a force strong enough to build the government-mandated Safe School environment.

Towards reverse engineering of Photosystem II: Synergistic Computational and Experimental Approaches

ABSTRACT Photosystem II (PSII) of oxygenic photosynthesis has the unique ability to photochemically oxidize water, extracting electrons from water to result in the evolution of oxygen gas while depositing these electrons to the rest of the photosynthetic machinery which in turn reduces CO2 to carbohydrate molecules acting as fuel for the cell. Unfortunately, native PSII is unstable and not suitable to be used in industrial applications. Consequently, there is a need to reverse-engineer the water oxidation photochemical reactions of PSII using solution-stable proteins. But what does it take to reverse-engineer PSII’s reactions? PSII has the pigment with the highest oxidation potential in nature known as P680. The high oxidation of P680 is in fact the driving force for water oxidation. P680 is made up of a chlorophyll a dimer embedded inside the relatively hydrophobic transmembrane environment of PSII. In this thesis, the electrostatic factors contributing to the high oxidation potential of P680 are described. PSII oxidizes water in a specialized metal cluster known as the Oxygen Evolving Complex (OEC). The pathways that water can take to enter the relatively hydrophobic region of PSII are described as well. A previous attempt to reverse engineer PSII’s reactions using the protein scaffold of E. coli’s Bacterioferritin (BFR) existed. The oxidation potential of the pigment used for the BFR ‘reaction centre’ was measured and the protein effects calculated in a similar fashion to how P680 potentials were calculated in PSII. The BFR-RC’s pigment oxidation potential was found to be 0.57 V, too low to oxidize water or tyrosine like PSII. We suggest that the observed tyrosine oxidation in BRF-RC could be driven by the ZnCe6 di-cation. In order to increase the efficiency of iii tyrosine oxidation, and ultimately oxidize water, the first potential of ZnCe6 would have to attain a value in excess of 0.8 V. The results were used to develop a second generation of BFR-RC using a high oxidation pigment. The hypervalent phosphorous porphyrin forms a radical pair that can be observed using Transient Electron Paramagnetic Resonance (TR-EPR). Finally, the results from this thesis are discussed in light of the development of solar fuel producing systems.