Experimental and theoretical aspects of macroscopic and mesoscopic elastic instability are investigated in this thesis. For the theoretical investigations we utilize a Lagrangian formulation of nonlinear continuum elasticity theory, the novel...
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...
Phase transitions occur in such diverse and important systems as ferromagnets, liquid crystals and the early Universe. The dynamics of phase transitions such as these have been studied for decades, but the analytical models still need a great deal...
A new algorithm is presented which uses maximum likelihood (ML) estimation and convex constraints to restore edge information in a robust and accurate way for microscope images. The convex constraints are spatially variant bounds on the image...
Social networks -- Mathematical models. Social networks -- Computer simulation. Dynamics. Social sciences -- Network analysis -- Methodology.
Detecting the significance of relationships between people is a complicated and difficult task. This is especially true when these relationships are intermixed with hundreds of different mundane and ordinary interactions that are simply background...
Most theoretical and computational studies of turbulence in Navier-Stokes fluids and/or guiding-center plasmas have been carried out in the presence of spatially periodic boundary conditions. In view of the frequently-reproduced result that...
The thermodynamic properties of pure polymers and polymer mixtures have been investigated using the so-called Born-Green-Yvon (BGY) lattice theory. Previous results applied pure component pressure-volume-temperature ( PVT ) data in order to...
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...
Macrocyclic tetrapyrroles are essential to life. In nature, they play important roles in living organisms, such as oxygen transportation and photosynthesis. Pentynoic acids are versatile precursors for preparing pyrrolines and higher homologues....
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...
Exogenous enzymes, signaling peptides, and other classes of non-human proteins represent a potentially massive but largely untapped pool of biotherapeutic agents. From a practical perspective, however, the use of foreign proteins as novel...
Magnetic resonance elastography (MRE) is a recently developed imaging modality that measures and visualizes the mechanical properties of tissue in vivo. One of the essential reconstruction procedures in MRE is motion estimation. For dynamic...