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...
Annual screening mammograms are recommended for all women above 40 years of age for early detection of breast cancer, and are known to improve cancer mortality rates. However, mammography is hampered by low sensitivity and a high rate of false...
In this thesis, we characterize and enumerate the permutations which are realized by the orbits of signed shifts, a family of discrete dynamical systems on words. The permutations, which are called patterns of the signed shifts, are given by the...
Partially ordered sets. ; Convex polytopes. ; Representations of groups.
This thesis deals with geometric representations of ordered sets. In a geometric representation, each element of the ordered set is assigned a geometric object, with two elements incomparable in the ordered set if and only if the corresponding...
As humans we create goals and strive toward ideals, engaging in a constant endeavor to better ourselves or maintain our success. Whether goals are distant hopes for the future, or small steps of change, success requires some control over...
Partially ordered sets and permutations are combinatorial structures having vast applications in theoretical computer science. In this thesis, we study various computational and algorithmic problems related to these structures. The first chapter of...
Hematopoietic stem cells (HSCs) balance self-renewal with the continuous production of the suitable numbers of lineage-restricted progenitor cells. In this work we demonstrate that the Mixed lineage leukemia 1 (Mll1) gene is essential for this...
Dendritic cells. Biological response modifiers. Immune response -- Regulation. T cells. CD antigens. Dendritic Cells -- Immunology. Receptors
Dendritic cells (DCs) are professional antigen-presenting cells (APCs) that regulate antigen-specific T cell activation or tolerance. The maturation state of DCs is critical since immature DCs are believed to induce T cell tolerance whereas mature...
Brain -- Tomography. Magnetic resonance imaging -- Brain. Near infrared spectroscopy. Image processing -- Digital techniques.
Diffuse optical tomography (DOT) using near infrared (NIR) light has become a promising modality because it has the capability to non-invasively quantify oxygen saturation and hemoglobin content with potentially high temporal resolution and...
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...
I consider the problem of extending certain invariants of subsets of natural numbers to their equivalents for subsets of larger cardinals. The two specific questions I will address are the extension of the off-branch number [Special characters...