Uniqueness criteria for continuous-time Markov chains with general transition structures

We derive necessary and sufficient conditions for the existence of bounded or summable solutions to systems of linear equations associated with Markov chains. This substantially extends a famous result of G. E. H. Reuter, which provides a convenient means of checking various uniqueness criteria for birth-death processes. Our result allows chains with much more general transition structures to be accommodated. One application is to give a new proof of an important result of M. F. Chen concerning upwardly skip-free processes. We then use our generalization of Reuter's lemma to prove new results for downwardly skip-free chains, such as the Markov branching process and several of its many generalizations. This permits us to establish uniqueness criteria for several models, including the general birth, death, and catastrophe process, extended branching processes, and asymptotic birth-death processes, the latter being neither upwardly skip-free nor downwardly skip-free.

First-passage times for non-Markovian processes: Correlated impacts on a free process

We develop a method to obtain first-passage-time statistics for non-Markovian processes driven by dichotomous fluctuations. The fluctuations themselves need not be Markovian. We calculate analytic first-passage-time distributions and mean first-passage times for exponential, rectangular, and long-tail temporal distributions of the fluctuations.

Serum-free process development:improving the yield and consistency of human mesenchymal stromal cell production

Background aims: The cost-effective production of human mesenchymal stromal cells (hMSCs) for off-the-shelf and patient specific therapies will require an increasing focus on improving product yield and driving manufacturing consistency. Methods: Bone marrow-derived hMSCs (BM-hMSCs) from two donors were expanded for 36 days in monolayer with medium supplemented with either fetal bovine serum (FBS) or PRIME-XV serum-free medium (SFM). Cells were assessed throughout culture for proliferation, mean cell diameter, colony-forming potential, osteogenic potential, gene expression and metabolites. Results: Expansion of BM-hMSCs in PRIME-XV SFM resulted in a significantly higher growth rate (P < 0.001) and increased consistency between donors compared with FBS-based culture. FBS-based culture showed an inter-batch production range of 0.9 and 5 days per dose compared with 0.5 and 0.6 days in SFM for each BM-hMSC donor line. The consistency between donors was also improved by the use of PRIME-XV SFM, with a production range of 0.9 days compared with 19.4 days in FBS-based culture. Mean cell diameter has also been demonstrated as a process metric for BM-hMSC growth rate and senescence through a correlation (R² = 0.8705) across all conditions. PRIME-XV SFM has also shown increased consistency in BM-hMSC characteristics such as per cell metabolite utilization, in vitro colony-forming potential and osteogenic potential despite the higher number of population doublings. Conclusions: We have increased the yield and consistency of BM-hMSC expansion between donors, demonstrating a level of control over the product, which has the potential to increase the cost-effectiveness and reduce the risk in these manufacturing processes.

The collision branching process

We consider a branching model, which we call the collision branching process (CBP), that accounts for the effect of collisions, or interactions, between particles or individuals. We establish that there is a unique CBP, and derive necessary and sufficient conditions for it to be nonexplosive. We review results on extinction probabilities, and obtain explicit expressions for the probability of explosion and the expected hitting times. The upwardly skip-free case is studied in some detail.

Optimisation of a surface mount technology process using a SnAgCu lead-free alloy

The impending introduction of lead-free solder in the manufacture of electrical and electronic products has presented the electronics industry with many challenges. European manufacturers must transfer from a tin-lead process to a lead-free process by July 2006 as a result of the publication of two directives from the European Parliament. Tin-lead solders have been used for mechanical and electrical connections on printed circuit boards for over fifty years and considerable process knowledge has been accumulated. Extensive literature reviews were conducted on the topic and as a result it was found there are many implications to be considered with the introduction of lead-free solder. One particular question that requires answering is; can lead-free solder be used in existing manufacturing processes? The purpose of this research is to conduct a comparative study of a tin-lead solder and a lead-free solder in two key surface mount technology (SMT) processes. The two SMT processes in question were the stencil printing process and the reflow soldering process. Unreplicated fractional factorial experimental designs were used to carry out the studies. The quality of paste deposition in terms of height and volume were the characteristics of interest in the stencil printing process. The quality of solder joints produced in the reflow soldering experiment was assessed using x-ray and cross sectional analysis. This provided qualitative data that was then uniquely scored and weighted using a method developed during the research. Nested experimental design techniques were then used to analyse the resulting quantitative data. Predictive models were developed that allowed for the optimisation of both processes. Results from both experiments show that solder joints of comparable quality to those produced using tin-lead solder can be produced using lead-free solder in current SMT processes.

A note on moments of dividends

We reconsider a formula for arbitrary moments of expected discounted dividend payments in a spectrally negative L,vy risk model that was obtained in Renaud and Zhou (2007, [4]) and in Kyprianou and Palmowski (2007, [3]) and extend the result to stationary Markov processes that are skip-free upwards.

Pyrimidine-Derived Prolinamides as Recoverable Bifunctional Organocatalysts for Enantioselective Inter- and Intramolecular Aldol Reactions under Solvent-Free Conditions

Chiral L-prolinamides 2 containing the (R,R)- and (S,S)-trans-cyclohexane-1,2-diamine scaffold and a 2-pyrimidinyl unit are synthesized and used as general organocatalysts for intermolecular and intramolecular aldol reactions with 1,6-hexanedioic acid as a co-catalyst under solvent-free conditions. The intermolecular reaction between ketone–aldehyde and aldehyde–aldehyde must be performed under wet conditions with catalyst (S,S)-2b at 10 °C, which affords anti-aldols with high regio-, diastereo-, and enantioselectivities. For the Hajos–Parrish–Eder–Sauer–Wiechert reaction, both diastereomers of catalyst 2 give similar results at room temperature in the absence of water to give the corresponding Wieland–Miescher ketone and derivatives. Both types of reactions were scaled up to 1 g, and the organocatalysts were recovered by extractive workup and reused without any appreciable loss in activity. DFT calculations support the stereochemical results of the intermolecular process and the bifunctional role played by the organocatalyst by providing a computational comparison of the H-bonding networks occurring with catalysts 2a and 2b.

Enhancing performance of paper coatings by tailor-made plastic pigments

The paper industry is constantly looking for new ideas for improving paper products while competition and raw material prices are increasing. Many paper products are pigment coated. Coating layer is the top layer of paper, thus by modifying coating pigment also the paper itself can be altered and value added to the final product. In this thesis, synthesis of new plastic and hybrid pigments and their performance in paper and paperboard coating is reported. Two types of plastic pigments were studied: core-shell latexes and solid beads of maleimide copolymers. Core-shell latexes with partially crosslinked hydrophilic polymer core of poly(n-butyl acrylate-co-methacrylic acid) and a hard hydrophobic polystyrene shell were prepared to improve the optical properties of coated paper. In addition, the effect of different crosslinkers was analyzed and the best overall performance was achieved by the use of ethylene glycol dimethacrylate (EGDMA). Furthermore, the possibility to modify core-shell latex was investigated by introducing a new polymerizable optical brightening agent, 1-[(4-vinylphenoxy)methyl]-4-(2-henylethylenyl)benzene which gave promising results. The prepared core-shell latex pigments performed smoothly also in pilot coating and printing trials. The results demonstrated that by optimizing polymer composition, the optical and surface properties of coated paper can be significantly enhanced. The optimal reaction conditions were established for thermal imidization of poly(styrene-co-maleimide) (SMI) and poly(octadecene-co-maleimide) (OMI) from respective maleic anhydride copolymer precursors and ammonia in a solvent free process. The obtained aqueous dispersions of nanoparticle copolymers exhibited glass transition temperatures (Tg) between 140-170ºC and particle sizes from 50-230 nm. Furthermore, the maleimide copolymers were evaluated in paperboard coating as additional pigments. The maleimide copolymer nanoparticles were partly imbedded into the porous coating structure and therefore the full potential of optical property enhancement for paperboard was not achieved by this method. The possibility to modify maleimide copolymers was also studied. Modifications were carried out via N-substitution by replacing part of the ammonia in the imidization reaction with amines, such as triacetonediamine (TAD), aspartic acid (ASP) and fluorinated amines (2,2,2- trifluoroethylamine, TFEA and 2,2,3,3,4,4,4-heptafluorobuthylamine, HFBA). The obtained functional nanoparticles varied in size between 50-217 nm and their Tg from 150-180ºC. During the coating process the produced plastic pigments exhibited good runnability. No significant improvements were achieved in light stability with TAD modified copolymers whereas nanoparticles modified with aspartic acid and those containing fluorinated groups showed the desired changes in surface properties of the coated paperboard. Finally, reports on preliminary studies with organic-inorganic hybrids are presented. The hybrids prepared by an in situ polymerization reaction consisted of 30 wt% poly(styrene- co-maleimide) (SMI) and high levels of 70 wt% inorganic components of kaolin and/or alumina trihydrate. Scanning Electron Microscopy (SEM) images and characterization by Fourier Transform Infrared Spcetroscopy (FTIR) and X-Ray Diffraction (XRD) revealed that the hybrids had conventional composite structure and inorganic components were covered with precipitated SMI nanoparticles attached to the surface via hydrogen bonding. In paper coating, the hybrids had a beneficial effect on increasing gloss levels.

VUV-Laserablation von Spinnenseide

Spinnenseide gehört zu den stabilsten bekannten Polymerverbindungen. Spinnfäden können bis auf das Dreifache ihrer ursprünglichen Länge gedehnt werden, bevor sie reißen, und dabei mit rund 160 MJ/m³ mehr als dreimal soviel Energie absorbieren wie die stärkste synthetisch hergestellte Faser Kevlar (50 MJ/m³). Dabei weisen Spinnfäden mit 2 bis 5 Mikrometer nur ein Zehntel des Durchmessers eines menschlichen Haares auf. Das präzise, berührungslose Bearbeiten von Spinnenseide ist für verschiedene technische Anwendungen interessant, insbesondere wenn dabei ihre außergewöhnlichen Eigenschaften erhalten bleiben. Könnten die von Natur aus dünnen Seidenfäden gezielt in ihrem Durchmesser verringert werden, so wären sie unter anderem in der Mikroelektronik einzusetzen. Hier könnten sie als Trägermaterial für eine dünne, elektrisch leitfähige Schicht fungieren. Man erhielte Nanodrähte, die auch in mechanisch besonders belasteten Mikroelektronikbauteilen (MEMS) Verwendung finden könnten. In dieser Arbeit wird die Verwendung der laserinduzierten Ablation zur gezielten Bearbeitung von Haltefäden der Schwarzen Witwe (Latrodectus hesperus) beschrieben. Eingesetzt wurde ein VUV-Excimerlaser vom Typ LPF 205 (Lambda-Physik, Göttingen) mit einer Wellenlänge von 157 nm und einer Pulsdauer von 18 ns. Eine berührungslose Laserbearbeitung bei 157 nm erlaubt einen effizienten und präzisen Abtrag von Material durch Ablation aufgrund der geringen optischen Eindringtiefe von unter 100 nm oberhalb einer Schwellenfluenz (Energie/Fläche) von Φth=29 mJ/cm², ohne dabei das umgebende Material thermisch zu beeinträchtigen. Parallel zur Ablation setzt allerdings eine wellenförmige Oberflächenstrukturierung auf der Faseroberfläche ein, wodurch die mechanische Belastbarkeit der Faser entscheidend geschwächt wird. Die Ursache hierfür liegt im Abbau materialbedingter Spannungsfelder („stress release“) innerhalb einer durch das Laserlicht induzierten dünnen Schmelzschicht. Im Rahmen dieser Arbeit ist es nun gelungen, diese Strukturen durch einen anschließenden Glättungsprozeß zu entfernen. Dabei wird auf der bestrahlten Oberfläche mittels Laserlichts eine glatte Ablation erzielt. Mit feinerer Abstufung dieser Prozeßschritte konnte der Durchmesser des verwendeten Spinnenseidefadens zum Teil um 70 Prozent bis auf ca. 750 nm verringert werden. Durch Zugfestigkeitsexperimente wurde belegt, daß die mechanischen Eigenschaften der so bearbeiteten Spinnenseide weitgehend erhalten bleiben. Die im Rahmen dieser Arbeit angewandte Methode erlaubt somit eine präzise Laserablation von Spinnenseide und ähnlichen hochabsorbierenden Materialien, ohne deren Kernsubstanz in ihrer Beschaffenheit zu verändern.

Genetic parameters of racing performance traits of Quarter horses in Brazil

The data used in the present study were recorded at the Jockey Club of Sorocaba for 5094 racing performance of 1350 Quarter Horses at the Paulista Race Track of Sorocaba, state of São Paulo, Brazil, from 1991 to 1997. The considered traits were time and final rank. The model used in analysis included random animal and permanent environmental effects, and race, sex, age and origin as fixed effects. The variance and covariance components were estimated by the restricted maximum likelihood for an animal model, using the derivative-free process method and the MTDFREML software. For the time, heritability was 0.17 (0.05), while estimate of repeatability 0.55 (0.05). The lower heritability for the final rank, 0.13 (0.04), indicate that this trait is not the most appropriate one for inclusion in programs of Quarter horse selection in Sorocaba racetrack. The repeatability estimate for rank was 0.44 (0.04) and the genetic correlation between this trait and time was 0.99.

Grenzflächenverhalten und Strukturierung von dünnen, amphiphilen Blockcopolymerfilmen

Die Oberfläche von Blockcopolymerfilmen wird aus denjenigen Blöcken gebildet, die gegenüber dem benachbarten Medium die geringste Oberflächenenergie besitzen. Durch eine gezielte Änderung des Mediums kann man Einfluss auf die chemische Zusammensetzung nehmen und einen Wechsel der Oberflächenlamelle erzwingen. Das Ziel dieser Arbeit war es, das Grenzflächenverhalten von dünnen, amphiphilen Blockcopolymerfilmen näher zu untersuchen, die Filmoberflächen in einem lösungsmittelfreien Prozess lateral zu strukturieren und anschließend chemisch zu modifizieren. Zu diesem Zweck wurden zunächst neuartige hydrophile und hydrophobe Styrenderivate mit kurzen Seitenketten dargestellt, die anschließend durch kontrollierte radikalische Polymerisation („stable free radical polymerisation“ SFRP) mit dem TEMPO Unimer zu amphiphilen Diblockcopolymeren polymerisiert wurden. Funktionelle Gruppen in den hydrophilen Blöcken sollen zusätzlich eine chemische Modifizierung der Oberflächen dünner Blockcopolymerfilme ermöglichen. Der Nachweis der Reorientierung der Oberflächenlamelle unter dem Einfluss angrenzender polarer und unpolarer Medien gelang im Folgenden sowohl indirekt durch Kontaktwinkelmessungen, als auch direkt durch „Near edge X-ray Absorption Fine Structure“ Spektroskopie (NEXAFS). Durch Letztere konnten auch kinetische Informationen über den Prozess der Reorientierung gewonnen werden. In AFM Studien konnten weiterhin Zwischenstufen des von Senchu et al. postulierten Mechanismus nachgewiesen werden, der die Reorientierung als eine Art Reißverschlussmechanismus beschreibt, bei dem sich die energetisch günstigere Lamelle über die ungünstigere Oberflächenlamelle stülpt. Die laterale Strukturierung der Oberflächen dünner Blockcopolymerfilme erfolgte abweichend von der bekannten Technik, die auf der Verwendung von hydrophoben PDMS Stempeln und einem polaren Lösungsmittel zurückgreift, durch einen lösungsmittelfreien Prozess mit hydrophilen PDMS Stempeln. Auf die hydrophilen Bereiche der so strukturierten Blockcopolymeroberflächen konnte dann mittels einer Templatstrategie selektiv elementares Kupfer abgeschieden werden. Durch die Erzeugung leitfähiger Strukturen auf Blockcopolymerfilmen konnte exemplarisch die Eignung dieser zum Aufbau von Sensorstrukturen gezeigt werden.

Characterisation and surface-profiling techniques for composite particles produced by dry powder coating in pharmaceutical drug delivery

The production of composite particles using dry powder coating is a one-step, environmentally friendly, process for the fabrication of particles with targeted properties and favourable functionalities. Diverse functionalities, such flowability enhancement, content uniformity, and dissolution, can be developed from dry particle coating. In this review, we discuss the particle functionalities that can be tailored and the selection of characterisation techniques relevant to understanding their molecular basis. We address key features in the powder blend sampling process and explore the relevant characterisation techniques, focussing on the functionality delivered by dry coating and on surface profiling that explores the dynamics and surface characteristics of the composite blends. Dry particle coating is a solvent- and heat-free process that can be used to develop functionalised particles. However, assessment of the resultant functionality requires careful selection of sensitive analytical techniques that can distinguish particle surface changes within nano and/or micrometre ranges.

Diversity in Catalytic Reactions of Propargylic Diazoesters

Abstract Title of Document: Diversity in Catalytic Reactions of Propargylic Diazoesters Huang Qiu, Doctor of Philosophy, 2016 Directed By: Professor Michael P. Doyle, Department of Chemistry and Biochemistry Propargylic aryldiazoesters, which possess multiple reactive functional groups in a single molecule, were expected to undergo divergent reaction pathways as a function of catalysts. A variety of transition metal complexes including rhodium(II), palladium(II), silver(I), mercury(II), copper(I and II), and cationic gold (I) complexes have been examined to be effective in the catalytic domino reactions of propargylic aryldiazoesters. An unexpected Lewis acid catalyzed pathway was also discovered by using FeCl3 as the catalyst. Under the catalysis of selected gold catalysts, propargylic aryldiazoesters exist in equilibrium with 1-aryl-1,2-dien-1-yl diazoacetate allenes that are rapidly formed at room temperature through 1,3-acyloxy migration. The newly formed allenes further undergo a metal-free rearrangement in which the terminal nitrogen of the diazo functional group adds to the central carbon of the allene initiating a sequence of bond forming reactions resulting in the production of 1,5-dihydro-4H-pyrazol-4-ones in good yields. These 1,5-dihydro-4H-pyrazol-4-ones undergo intramolecular 1,3-acyl migration to form an equilibrium mixture or quantitatively transfer the acyl group to an external nucleophile with formation of 4-hydroxypyrazoles. In the presence of a pyridine-N-oxide, both E- and Z-1,3-dienyl aryldiazoacetates are formed in high combined yields by Au(I)-catalyzed rearrangement of propargyl arylyldiazoacetates at short reaction times. Under thermal reactions the E-isomers form the products from intramolecular [4+2]-cycloaddition with H‡298 = 15.6 kcal/mol and S‡298= -27.3 cal/ (mol•degree). The Z-isomer is inert to [4+2]-cycloaddition under these conditions. The Hammett relationships from aryl-substituted diazo esters ( = +0.89) and aryl-substituted dienes ( = -1.65) are consistent with the dipolar nature of this transformation. An unexpected reaction for the synthesis of seven-membered conjugated 1,4-diketones from propargylic diazoesters with unsaturated imines was disclosed. To undergo this process vinyl gold carbene intermediates generated by 1,2-acyloxy migration of propargylic aryldiazoesters undergo a formal [4+3]-cycloaddition, and the resulting aryldiazoesters tethered dihydroazepines undergo an intricate metal-free process to form observed seven-membered conjugated 1,4-diketones with moderate to high yields.

STANDARDIZATION OF PROCESS PARAMETERS FOR READY TO EAT FISH PRODUCTS IN INDIGENOUS POLYMER COATED TIN FREE STEEL CANS

In the present work, Indigenous polymer coated Tin Free Steel cans were analyzed fortheir suitability for thermal processing and storage of fish and fish products following standard methods. The raw materials used for the development of ready to eat thermally processed fish products were found to be of fresh condition. The values for various biochemical and microbiological parameters of the raw materials were well within the limits. Based on the analysis of commercial sterility, instrumental colour, texture, WB-shear force and sensory parameters, squid masala processed to F0 value of 8 min with a total process time of 38.5 min and cook value of 92 min was chosen as the optimum for squid masala in tin free steel cans while shrimp curry processed to F0 7 min with total process time of 44.0 min and cook value of 91.1 min was found to be ideal and was selected for storage study. Squid masala and shrimp curry thermally processed in indigenous polymer coated TFS cans were found to be acceptable even after one year of storage at room temperaturebased on the analysis of various sensory and biochemical parameters. Analysis of the Commission Internationale d’ Eclirage L*, a* and b* color values showed that the duration of exposure to heat treatment influenced the color parameters: the lightness (L*) and yellowness (b*)decreased, and the redness (a*) significantly increased with the increase in processing time or reduction in processing temperature.Instrumental analysis of texture showed that hardness-1 & 2 decreased with reduction in retort temperature while cohesiveness value did not show any appreciable change with decrease in temperature of processing. Other texture profile parameters like gumminess, springiness and chewiness decreased significantly with increase of processing time. W-B shear force values of mackerel meat processed at 130 °C were significantly higher than those processed at 121.1 and 115 °C. HTST processing of mackerel in brine helped in reducing the process time and improving the quality.The study also indicated that indigenous polymer coated TFS cans with easy openends can be a viable alternative to the conventional tin and aluminium cans. The industry can utilize these cans for processing ready to eat fish and shell fish products for both domestic and export markets. This will help in reviving the canning industry in India.