Modeling and simulation of population balances for particulate processes

This work focuses on the modeling and numerical approximations of population balance equations (PBEs) for the simulation of different phenomena occurring in process engineering. The population balance equation (PBE) is considered to be a statement of continuity. It tracks the change in particle size distribution as particles are born, die, grow or leave a given control volume. In the population balance models the one independent variable represents the time, the other(s) are property coordinate(s), e.g., the particle volume (size) in the present case. They typically describe the temporal evolution of the number density functions and have been used to model various processes such as granulation, crystallization, polymerization, emulsion and cell dynamics. The semi-discrete high resolution schemes are proposed for solving PBEs modeling one and two-dimensional batch crystallization models. The schemes are discrete in property coordinates but continuous in time. The resulting ordinary differential equations can be solved by any standard ODE solver. To improve the numerical accuracy of the schemes a moving mesh technique is introduced in both one and two-dimensional cases ...

A Novel Algorithm to Quantify Coronary Remodeling Using Inferred Normal Dimensions

Background:Vascular remodeling, the dynamic dimensional change in face of stress, can assume different directions as well as magnitudes in atherosclerotic disease. Classical measurements rely on reference to segments at a distance, risking inappropriate comparison between dislike vessel portions.Objective:to explore a new method for quantifying vessel remodeling, based on the comparison between a given target segment and its inferred normal dimensions.Methods:Geometric parameters and plaque composition were determined in 67 patients using three-vessel intravascular ultrasound with virtual histology (IVUS-VH). Coronary vessel remodeling at cross-section (n = 27.639) and lesion (n = 618) levels was assessed using classical metrics and a novel analytic algorithm based on the fractional vessel remodeling index (FVRI), which quantifies the total change in arterial wall dimensions related to the estimated normal dimension of the vessel. A prediction model was built to estimate the normal dimension of the vessel for calculation of FVRI.Results:According to the new algorithm, “Ectatic” remodeling pattern was least common, “Complete compensatory” remodeling was present in approximately half of the instances, and “Negative” and “Incomplete compensatory” remodeling types were detected in the remaining. Compared to a traditional diagnostic scheme, FVRI-based classification seemed to better discriminate plaque composition by IVUS-VH.Conclusion:Quantitative assessment of coronary remodeling using target segment dimensions offers a promising approach to evaluate the vessel response to plaque growth/regression.

Existence, multiplicity and behaviour of solutions of some elliptic differential equations of higher order

Magdeburg, Univ., Fak. für Mathematik, Diss., 2009

International trade, technical change and the demand for skills : how important is trade in quality differential products?

Magdeburg, Univ., Fak. für Wirtschaftswiss., Diss., 2012

Mathematical modeling and evolution of signal transduction pathways and networks

Magdeburg, Univ., Fak. für Naturwiss., Diss., 2013

The differential analysis of starches, by James B. McNair.

v.9:no.1(1930)

Algorithm engineering for expression dag based number types

Magdeburg, Univ., Fak. für Informatik, Diss., 2015

Evolution of neotropical cricetine rodents (Muridae) with special reference to the phyllotine group.

v.46(1962)

The co-evolution of social behavior and cranial morphology in sheep and goats (Bovidae, caprini) [by] William M. Schaffer and Charles A. Reed.

v.61(1971)

Parallelism in the evolution of the Permian reptilian faunas of the Old and New Worlds / Everett C. Olson.

v.37:no.13(1955)

Taxonomy and evolution of the sinica group of macaques : 6. Interspecific comparisons and synthesis / Jack Fooden.

n.s. no.45(1988)

Patterns of snake evolution suggested by their proteins : a contribution in celebration of the distinguished scholarship of Robert F. Inger on the occasion of his sixty-fifth birthday / Herbert C. Dessauer, John E. Cadle, Robin Lawson.

n.s. no.34(1987)

The morphology, systematics, and evolution of the Old World treefrogs (Rhacophoridae and Hyperoliidae)

v.57(1970)

Taxonomy and evolution of the Sinica group of macaques. 5, Overview of natural history / Jack Fooden.

n.s. no.29(1986)