Abstract (Summary) Chapter One. Platinum-Catalyzed Asymmetric Alkylation of Bis(secondary) Phosphines. Efficient Screening and the Synthesis of an Enantiomerically Pure C 2 -Symmetric Diphosphine . Platinum-catalyzed asymmetric alkylation of...
Proteins -- Structure -- Data processing. Proteins -- Analysis -- Data processing. Nuclear magnetic resonance spectroscopy. Oligomers -- Analysis -- Data processing.
Symmetric homo-oligomers (protein complexes with similar subunits arranged symmetrically) play pivotal roles in complex biological processes such as ion transport and cellular regulation. Structure determination of these complexes is necessary in...
Second harmonic generation. ; Second harmonic generation -- Mathematical models. ; Glass -- Effect of infrared radiation on. ; Glass -- Electric properties.
Since its discovery in the 1930's, the Cherenkov effect has been paramount in the development of high-energy physics research. It results in light emission from charged particles traveling faster than the local speed of light in a dielectric...
We describe a set of natural image statistics that are built upon two multi-scale image decompositions, the quadrature mirror filter pyramid decomposition and the local angular harmonic decomposition. These image statistics consist of first- and...
Human behavior -- Mathematical models. ; Web usage mining. ; Internet users.
Whom we e-mail, where we browse, what we purchase, and the things we search for on the World Wide Web all leave identifiable traces of who we are as individuals. In today's technology focused landscape, cyberspace represents the new environment in...
The processes by which nonlinear physical systems approach thermal equilibrium is of great importance in many areas of science. Central to this is the mechanism by which energy is transferred between the many degrees of freedom comprising these...
Little is known about the emergence of life from nonliving precursors. A key missing- piece is the origin of homochirality: nearly all life is characterized by exclusively dextrorotary sugars and levorotary amino acids. The research presented in...
The ability to forecast the weather of the geospace environment depends critically on the ability to accurately model the dynamics of the coupled magnetosphere-ionosphere (MI) system. The MI interaction involves a set of electrodynamic and plasma...
Polynomials. Finite fields (Algebra). Algebraic functions. Number theory.
The ring of univariate polynomials over a finite field shares many foundational arithmetic properties with the ring of rational integers. This similarity makes it possible for many problems in elementary number theory to be translated 'through the...
Prostate cancer (PCa) recurrences are often predicted by assessing the status of surgical margins (SM) – positive surgical margins (PSM) increase the chances of biochemical recurrence by 2-4 times which may lead to PCa recurrence. At present,...
Space perception. ; Motion perception (Vision). ; Vestibular apparatus.
Head Direction (HD) cells are neurons located primarily in the limbic system that fire as a function of directional heading in the horizontal, or yaw, plane in the freely moving animal. Our hypothesis is that the HD signal is the result of two...
Structural control (Engineering). ; Smart structures -- Vibration. ; Strains and stresses -- Computer simulation. ; Automatic control -- Sensitivity. ; Feedback control systems.
This thesis investigates vibration-based damage identification problems in smart structures. Vibration-based damage metrics suffer from small sensitivity of modal properties to damage, thus making it difficult to detect, locate, and determine the...
Magnetic Resonance Elastography (MRE) has emerged as a noninvasive, quantitative physical examination of the elastic properties of soft biological tissues including breast, liver, prostate, and brain. Implementation of constitutive relations that...
This thesis contains some results concerning groupoid dynamical systems and crossed products. We introduce the notion of a proper groupoid dynamical system and of its generalized fixed point algebra. We show that our notion of proper groupoid...
Manifolds (Mathematics) Geodesics (Mathematics) Space and time.
We investigate weak and strong refocusing of light rays in a space-time and related concepts. A strongly causal space-time ( X^ n +1 , g ) is emphstrongly refocusing at x ∈ X if there is a point y ≠ x such that all null-geodesics through y pass...
Spatial localization of sound depends on interaural time delay (ITD), level difference, and on the interaction of the source with the head, torso, and pinna. Head-related transfer functions (HRTFs) model the dynamics that are used by listeners to...
Vesicle mediated intracellular transport through the secretory pathway requires the formation of transport vesicles from a donor compartment followed by vesicle tethering and fusion with an appropriate acceptor compartment. The anterograde...
Shape modeling is an important area in computer vision and medical imaging. Shape models have proved valuable in the tasks of object representation, recognition, and classification. This thesis focuses on shape models of 3D surfaces extracted from...
Coding theory. Characters of groups. Error-correcting codes (Information theory). Polynomials.
We introduce vector-valued character theory, a higher dimensional generalization of character theory. We then use vector-valued characters to extend the MacWilliams equivalence theorem for linear codes to a class of additive codes, called...
Tetrapyrroles -- Synthesis. Tetrapyrroles -- Mechanism of action. Transition metal catalysts.
Previous studies have shown that the mucosal immune system is present in the female reproductive tract and under hormonal control. With the recognition that underlying stromal cells regulate epithelial cell function and hormonal responsiveness,...
Riemannian manifolds. Singularities (Mathematics). Laplacian operator. Spectral theory (Mathematics). Riemann surfaces. Curves on surfaces. Geometry
Historically, inverse spectral theory has been concerned with the relationship between the geometry and the spectrum of compact Riemannian manifolds, where spectrum means the eigenvalue spectrum of the Laplace operator as it acts on smooth...
MicroRNAs (miRNAs) are recently discovered family of genes with short non-coding RNA transcripts of 18 to 25 nucleotides in length. lin-4 and let-7 , the founding members of the miRNA gene family, control the timing of developmental programs in the...