Three-dimensional imaging in medicine -- Mathematical models. Intraoperative monitoring. Cerebral cortex -- Imaging. Computer vision. Space perception.
Brain deformation models have proven to be a powerful tool in compensating for soft tissue deformation during image-guided neurosurgery. The accuracy of these models can be improved by incorporating intraoperative measurements of brain motion. We...
Earlier work has suggested that various neurological or neuropsychiatric disorders may result in characteristic spatial patterns in brain activation, potentially allowing their detection from maps of brain activity under different conditions....
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...
A mobile agent is an autonomous program that can migrate under its own control from machine to machine in a heterogeneous network. In other words, the program can suspend its execution at an arbitrary point, transport itself to another machine, and...
This thesis focuses on the emergence of universal dynamical scaling in quantum critical spin systems driven out of equilibrium, with emphasis on quench dynamics which involves isolated standard critical points, multi-critical points, and...
The Euler '-function and Carmichael -function are extremely important in modern number theory, and much work has been devoted to studying the distribution and arithmetic properties of the values of each function. One interesting unresolved question...
The study of twin primes gives rise to several famously difficult problems in number theory--in fact, we still cannot definitively say whether there are infinitely many twin primes. In this work, we consider a related problem, namely: What is the...
Antibodies are known to be a primary correlate of protection in almost all current vaccines, and thus evaluating the antibody response is of critical importance in attempting to predict the efficacy of novel vaccine candidates. Historically...
Antioncogenes. ; Breast -- Cancer -- Genetic aspects.
BRCA1 has been identified as a tumor suppressor gene that is mutated in many cases of inherited breast and ovarian cancer. Recent data suggest that multiple splice forms of BRCA1 exist, but the structure and function of these alternative...
The LysR-type virulence regulator, AphB, initiates the Vibrio cholerae virulence cascade resulting in expression of the two critical virulence factors, toxin-coregulated pilus and cholera toxin, by activating transcription at the tcpPH promoter....
Breast -- Cancer -- Tomography. ; Breast -- Cancer -- Imaging. ; Breast -- Cancer -- Diagnosis. ; Near infrared reflectance spectroscopy. ; Image processing -- Digital techniques.
Near-infrared (NIR) light has the potential to be used as a non-invasive means of diagnostic imaging within the human breast. Due to the diffusive nature of light in tissue, computational model-based methods are required for functional imaging...
Siegel domains. Modular groups. Hecke algebras. Forms
In the 1960s Satake proved the existence of an isomorphism between the local Hecke algebra and the ring of polynomials invariant under the action of the signed permutation group W n (the Weyl group associated to Sp n over a local field)....
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...
A novel synthetic route to the synthesis of 9-propyl-10-azacyclododecan-12-olide (1), a natural allomone isolated from the Mexican bean beetle pupa, is presented. The salient features of this synthetic route are a regioselective Beckmann...
The potential of peptide mimics of V. cholerae lipopolysaccharide (LPS) to elicit cross-reactive immune responses against LPS was investigated, as an alternative approach towards the development of a cholera vaccine. Peptide mimics of two...
The Cerenkov Maser radiation is examined using linear and nonlinear theory. Linear theories for the gain in the single particle and the collective limits have been given previously. In this work, we show the connections between these two operating...
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...
CYP3A has the highest affinity for oxidation of Acetaminophen (APAP) with a Km close to the concentration observed in human serum after administration of therapeutic doses of APAP. CYP3A may be induced by numerous drugs as well as alcohols. We...
I investigate the kinematics and space densities of the local cataclysmic variable (CV) population. CVs are close binary star systems composed of a white dwarf that accretes matter from a less compact companion star in Roche lobe overflow....