Master of Science / Department of Mechanical and Nuclear Engineering / Steven J. Eckels / Christopher M. Sorensen / Large specific surface areas and high concentrations of reactive edge and defect sites make NanoActive™ metal oxide powders ideal chemical adsorbents. These powders are dispersed in aerosol form to remediate toxic wastes and neutralize chemical and biological warfare agents. In the destructive adsorption of toxic chemicals, effective application requires particles be as small as possible, thus, maximizing surface area and number of edge and defect sites. Other applications, e.g. smoke clearing, require particles be large so they will settle in a timely manner. Ideally, particle size control could be engineered into powder dispersion devices. The purpose of this study was to explore particle cohesion and aerodynamic deaggregation mechanisms to enhance the design of powder dispersion devices. An aerosol generator and four experimental nozzles were designed to explore the most commonly referenced deaggregation mechanisms: particle acceleration, particles in shear and turbulent flows, and particle impaction. The powders were then dispersed through the nozzles with increasing flow rates. A small angle light scattering device was used to make in situ particle size measurements. The nozzle designed for impaction deaggregated the NanoActive™ MgO particles to a lesser degree than the other three nozzles, which deaggregated the particles to a similar degree. Flows in three of the four nozzles were simulated in a commercial computational fluid dynamics package. Theoretical particle and aggregate stresses from the literature were calculated using simulated data. These calculations suggest particle acceleration causes internal stresses roughly three orders of magnitude larger than shear and turbulent flows. These calculations, coupled with experimental data, lead to the conclusion that acceleration was the most significant cause of particle deaggregation in these experiments. Experimental data also identified the dependence of deaggregation on primary particle size and agglomerate structure. NanoActive™ powders with smaller primary particles exhibited higher resistance to deaggregation. Small primary particle size was thought to increase the magnitude of van der Waals interactions. These interactions were modeled and compared to theoretical deaggregation stresses previously mentioned. In conclusion, deaggregation is possible. However, the ideas of particle size control and a universal dispersion device seem elusive considering the material dependent nature of deaggregation.

This paper studies Newton's method for solving the algebraic Riccati equation combined with an exact line search. Based on these considerations we present a Newton{like method for solving algebraic Riccati equations. This method can improve the sometimes erratic convergence behavior of Newton's method.

Ein der Biologie zugrunde liegender Prozess ist die Fortpflanzung. Einzeller wachsen dazu heran und teilen sich. Grundlage hierfür sind ausreichend Nahrung und Ressourcen, um die eigene Masse und alle Zellbestandteile, insbesondere die DNS, zu verdoppeln. Fehler bei der Wachstumsregulation oder der DNS-Verdopplung können schwerwiegende Folgen haben und stehen beim Menschen im Zusammenhang z.B. mit Krebs. In dieser Arbeit werden mathematische Modelle für die Mechanismen zur Wachstumsregulierung und DNS-Verdopplung in der Bäckerhefe, Saccharomyces cerevisiae, vorgestellt. Modellierung kann entscheident zum Verstehen von komplexen, dynamischen Systemen beitragen. Wir haben ein Modell für Einzellerwachstum entwickelt und leiten das Wachstumsverhalten von Zellkulturen von diesem Modell, mittels einer hierfür programmierten Software, ab. Außerdem haben wir ein Model für die Verdopplung der DNS entwickelt, um Auswirkungen verschiedener Aktivierungsmuster auf die Replikation zu testen. Zusätzlich wurde die Verlängerung entstehender DNS Stränge, Elongation, mit einem detaillierten, stochastischen Modell untersucht. Wir haben unsere Ergebnisse zur DNS-Verdopplung mit einer abschließenden Untersuchung ergänzt, die funktionelle Beziehungen von Genen aufzeigt, welche sich in der Nähe von Aktivierungsstellen der Verdopplung befinden. Folgende Einsichten in die komplexe Koordination von Wachstum und Teilung wurden gewonnen: (i) Wachstumskontrolle ist eine inhärente Eigenschaft von Hefezellpopulationen, welche weder Signale noch Messmechanismen benötigt, (ii) DNS Verdopplung ist robuster in kleinen Chromosomen mit hoher Dichte an Aktivierungsstellen, (iii) Elongation ist weitgehend uniform, weicht aber an genau definierten Stellen signifikant ab und (iv) katabole Gene häufen sich nahe der frühen Aktivierungsstellen und anabole Gene nahe der späten. Unsere Ergebnisse tragen zum Verständniss von zellulären Mechanismen zur Wachstumskontrolle und DNS-Verdopplung bei. / One of the most fundamental processes in biology is reproduction. To achieve this, single cellular organisms grow, proliferate and divide. The prerequisite for this is acquiring sufficient resources to double size and cellular components, most importantly the DNA. Defects in either sufficient gain in size or chromosomal doubling can be severe for the organism and have been related to diseases in humans, such as cancer. Therefore, the cell has developed sophisticated regulatory mechanisms to control the orderly fashion of growth and duplication. We have developed mathematical models to study systemic properties of size control and DNA replication in the premier eukaryotic model organism Saccharomyces cerevisiae. Modeling can help understanding the complex nature of dynamic systems. We provide a single cell model to explore size control. We deduced population behavior from the single cell model through multi-cell simulations using a tailor-made software. Also, we implemented an algorithm that simulates the DNA replication process to test the impact of different replication activation patterns. Additionally, elongation dynamics were assessed with a fine-grained stochastic model for the replication machinery motion. We complemented our analysis of DNA replication by studying the functional association of genes and replication origins. Our systems-level analysis reveals novel insights into the coordination of growth and division, namely that (i) size regulation is an intrinsic property of yeast cell populations and not due to signaling or size sensing, (ii) DNA replication is more robust in small chromosomes with high origin density, (iii) the elongation process is strongly biased at distinct locations in the genome and (iv) catabolic genes are over-represented near early origins and anabolic genes near late origins. Our results contribute to explaining mechanisms of size control and DNA replication.

"The next generation of aluminum alloys will have to operate at temperatures approaching 300°C. Traditional aluminum alloys cannot perform at these temperatures, but aluminum alloys reinforced with fine ceramic particles can. The objective of this research is to develop a process to synthesize Al-TiC composites by the Rotating Impeller Gas-Liquid In-situ method. This method relies on injecting methane into molten aluminum that has been pre-alloyed with titanium. The gas is introduced by means of a rotating impeller into the molten alloy, and under the correct conditions of temperature, gas flow, and rotation speed, it reacts preferentially with titanium to form titanium carbide particles. The design of the apparatus, the multi-physics phenomena underlying the mechanism responsible for particle formation and size control, and the operation window for the process are first elucidated. Then a parametric study that leads to the synthesis of aluminum reinforced with TiC microparticles and nanoparticles is described. Finally, potential technical obstacles that may stand in the way of commercializing the process are discussed and ways to overcome them are proposed. "