In this paper, we establish the discreteness of transmission eigenvalues for Maxwell's equations. More precisely, we show that the spectrum of the transmission eigenvalue problem is discrete, if the electromagnetic parameters $\eps, , \mu, , \heps, , \h ...
DNA-protein interactions lie at the crux of life's essential processes. As such, various technologies have been developed to characterize these interactions. The distinct advantages of these technologies can be leveraged to study different facets of these ...
DNA as a biomaterial has evoked great interest as a potential platform for therapeutics and diagnostics and as hydrogel scaffolds due to the relative ease of programming its robust and uniform shape, site-specific functionality and controlled responsive be ...
In the first part of this thesis, we present and compare several approaches for the determination of the steady-state of large-scale Markov chains with an underlying low-rank tensor structure. Such structure is, in our context of interest, associated with ...
Although all Type II restriction endonucleases catalyze phosphodiester bond hydrolysis within or close to their DNA target sites, they form different oligomeric assemblies ranging from monomers, dimers, tetramers to higher order oligomers to generate a dou ...
We consider the problem {div u + (a; u) = f in Omega u = u(0) on partial derivative Omega. We show that if curl a (x(0)) not equal for some x(0) epsilon Omega, then the problem is solvable without restriction on f. We also discuss the regularity of the sol ...
The research described within this thesis is primarily motivated by two fields of science with reversed, yet complementary, approaches to addressing the same essential objective: manipulating and understanding the complex program of life. Whereas synthetic ...
Using high level coordination primitives allows enhanced expressiveness of component-based frameworks to cope with the inherent complexity of present-day systems designs. Nonetheless, their distributed implementation raises multiple issues, regarding both ...
The human pathogen Vibrio cholerae is an aquatic bacterium associated with zooplankton and their chitinous exoskeletons. On chitinous surfaces, V. cholerae initiates a developmental programme, known as natural competence, to mediate transformation, which i ...
Groundwater is essential for human activities and is sometimes referred to as a non-renewable resource in the same way as oil and gas. During the past century, precious groundwater reserves worldwide have been threatened by anthropogenic release of chemica ...
