Tangled Up in Blue

Tangled Up In Blue

Tangled (up in) cubes.

The 'simplest' entanglements of the graph of edges of the cube are enumerated, forming two-cell {6, 3} (hexagonal mesh) complexes on the genus-one two-dimensional torus. Five chiral pairs of knotted graphs are found. The examples contain non-trivial knotted and/or linked subgraphs [(2, 2), (2, 4) torus links and (3, 2), (4, 3) torus knots].

Thrombosis: tangled up in NETs.

The contributions by blood cells to pathological venous thrombosis were only recently appreciated. Both platelets and neutrophils are now recognized as crucial for thrombus initiation and progression. Here we review the most recent findings regarding the role of neutrophil extracellular traps (NETs) in thrombosis. We describe the biological process of NET formation (NETosis) and how the extrace...

Tangled up in Blue (A Survey on Connectivity, Decompositions, and Tangles)

We survey an abstract theory of connectivity, based on symmetric submodular set functions. We start by developing Robertson and Seymour’s [44] fundamental duality theory between branch decompositions (related to the better-known tree decompositions) and so-called tangles, which may be viewed as highly connected regions in a connectivity system. We move on to studying canonical decompositions of...

Tangled Up in Blue: Unraveling the Links Between Emotional Distress and Treatment Adherence in Type 2 Diabetes

OBJECTIVE We conducted comprehensive assessments of emotional distress to examine relations with diabetes medication adherence over time. RESEARCH DESIGN AND METHODS Ethnically and socioeconomically diverse adults treated for type 2 diabetes completed validated self-reports (SRs) for diabetes distress and depression, were administered semistructured depression interviews, and provided blood s...