This thesis comprises two separate but related studies, dealing with two strongly interacting nanoscale systems on the border between the quantum and classical domains. In Part 1, we use a Born-Markov approximated master equation approach to study...
Proteins -- Structure -- Mathematical models. Recombinant proteins -- Mathematical models. Mathematical optimization -- Data processing. Dynamic programming. Protein engineering.
Site-directed protein recombination produces improved and novel protein variants by recombining sequence fragments from parent proteins. The resulting hybrids accumulate multiple mutations that have been evolutionarily accepted together. Subsequent...
This thesis contains material relating to two separate subjects. The first section determines when the C*-algebra affiliated to a directed graph has continuous trace. We use groupoid methods and the focus is on producing conditions on a graph that...
Medical imaging methods have become increasingly important in diagnosing diseases and assisting therapeutic treatment. In particular, early detection of breast cancer is considered as a critical factor in reducing the mortality rate of women....
Magnetic nanoparticles are promising candidates for use in biomedical applications as remote sensors of biophysical properties, thermal therapy agents, and detectors of specific biomolecules. Many approaches have been used to model magnetic...
Gyrinophilus -- Ecology. ; Gyrinophilus -- Geographical distribution -- Northeastern States. ; Freshwater ecology -- Northeastern States. ; Amphibian populations -- Northeastern States.
I investigated controls on the distribution and abundance of the salamander Gyrinophilus porphyriticus (Plethodontidae) acting at multiple spatial scales: individual first-order streams, headwater drainages comprised of multiple streams, and the...
Since alkoxyamines, O-alkylated nitroxide derivatives, are important control agents for nitroxide-mediated polymerization, protocols for their synthesis should be straigh- forward, cost-effective, and versatile. We have utilized a facile method for...
Two alloys, Fe 55 Mn 19 Al 26 and Fe 30 Ni 20 Mn 35 Al 15 , were studied in this research project. The yield stress anomaly (YSA) of Fe 55 Mn 19 Al 26 single crystal was observed with a yield stress peak at 700 K. In situ TEM straining revealed...
Recent technological advances have fostered the emergence of Wireless Sensor Networks (WSNs), which consist of tiny, wireless, battery-powered nodes that are expected to revolutionize the ways in which we understand and construct complex physical...
For a local field K, we study the affine buildings Ξ n and Δ n naturally associated to SL n ( K ) and Sp n ( K ), respectively. Since Sp n ( K ) is a subgroup of SL 2 n ( K ), we investigate properties of a natural embedding of Δ n in Ξ 2 n ....
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...
Laser speckle monitoring is a way to measure the motion of an optically rough surface without making physical contact to that surface. Laser speckle is inherently sensitive to motion in the plane of the reflecting surface, which gives speckle...
This thesis considers the two special sensor networks for future sensor network design: mobile sensor networks and hybrid network of sensors and robots. To investigate two types of networks, we abstract two most important aspects that are ingrained...
We have a limited understanding of how an opinion is originated, how an opinion and information supporting and explaining it gets conveyed, and how the communicated opinion is perceived and processed by others. One direction of current research...
Opinion dynamics is a complex procedure that entails a cognitive process when it deals with how a person integrates influential opinions to form revised opinion. Early research on opinion formation and social influence can be traced back to the...
In order to most effectively investigate protein structure and improve protein function, it is necessary to carefully plan appropriate experiments. The combinatorial number of possible experiment plans demands effective criteria and efficient...
In this thesis we look at several problems that lie in the intersection between combinatorial and multiplicative number theory. A common theme of many of these problems are estimates for and properties of the smooth numbers, those integers not...
The proliferation of mobile devices and other consumer products has greatly expanded the market for CMOS image sensors. This in turn has promoted a trend of continued improvement in image sensor performance, as companies seek to gain an advantage...
The recognition of foreign peptides by MHC (Major Histocompatibility Complex) proteins is a critical step in the immune response mounted by higher vertebrates against pathogens. MHC proteins have many allelic variants, each recognizing different...
The heterochronic gene lin-14 affects certain somatic cell-fate choices during post-embryonic development in C. elegans. In lin-14 mutants, cells express stage-specific developmental programs, such as cell divisions or dauer entry, at inappropriate...
The radio-frequency single-electron transistor (RF-SET) [1-3] has attracted significant interest as one of the fastest charge detectors known today. In this thesis, we show that by designing an on-chip superconducting LC matching network for the...
Neurofibromatosis type 1 (NF1) is a genetic disorder that predisposes affected individuals to a variety of benign and malignant nervous system tumors. NF1 is caused by a mutation in the NF1 tumor suppressor gene, which encodes neurofibromin, a...
Diagnostic imaging -- Mathematics. Expectation-maximization algorithms. Imaging systems in medicine -- Mathematics.
We have developed a general-purpose registration algorithm for medical images and volumes. The transformation between images is modeled as locally affine but globally smooth, and explicitly accounts for local and global variations in image...
Oligomers -- Structure -- Mathematical models. Nuclear magnetic resonance spectroscopy.
Medical Term: Nuclear Magnetic Resonance, Biomolecular.
Protein complexes play vital roles in the fundamental processes of life. In particular, homo-oligomers are involved in cell signaling, regulation, and transport. To make detailed studies of these symmetric proteins, they need to be discovered, and...
Constructibility (Set theory). Trees (Graph theory).
This thesis investigates possible initial segments of the degrees of constructibility. Specifically, we completely characterize the structure of degrees in generic extensions of the constructible universe L via forcing with Souslin trees. Then we...
Internet -- Security measures. Public key infrastructure (Computer security). Digital signatures. Peer-to-peer architecture (Computer networks) -- Security measures.
The Internet has become a virtual place where people not only operate in isolation but also interact with other Internet users. Collaborative systems are becoming more popular. Applications now being introduced could provide better remote education...
Proteins are ubiquitous in cells and are essential to a wide range of biological processes. Since existing proteins occupy only a small portion of the space of possible amino acid composition, understanding their sequence-structure-function...
Circadian rhythms. Proteins -- Synthesis -- Effect of light on. Genetic regulation. Neurospora crassa -- Reproduction -- Effect of light on. Neurospora crassa -- Genetics.
To understand how the circadian clock can temporally organize a cell, the biochemical characterization of a clock protein, FRQ, was initiated in Neurospora crassa using immunochemical techniques. FRQ accumulated in constant light to maximum levels...
We prove the existence of nontrivial multiparameter isospectral deformations of metrics on the classical compact simple Lie groups SO (n) (n = 9, n ≥11), Spin(n) (n = 9, n ≥11), SU (n) (n ≥7), and Sp (n) (n ≥5). The proof breaks into three...
This thesis centers around a generalization of the classical discrete Fourier transform. We first present a general diagrammatic approach to the construction of efficient algorithms for computing the Fourier transform of a function on a finite...