Spreading depression (SD) and the related hypoxic SD-like depolarization (HSD) are characterized by rapid and nearly complete depolarization of a sizable population of brain cells with massive redistribution of ions between intracellular and extracellular compartments, that evolves as a regenerative, "all-or-none" type process, and propagates slowly as a wave in brain tissue. This article revie...

We introduce data structural bootstrapping, a technique to design data structures recursively, and use it to design confluently persistent deques. Our data structure requires O(log* k) amortized time and space per deletion, where k is the total number of deque operations, and constant amortized time for other operations. This improves a previous result of Driscoll, Sleator, and Tarjan.

To report a case of a 4 months old girl presenting with massive spontaneous proptosis, due to a large hematoma resulting from systemic vitamin K deficiency. Systemic features resolved with appropriate medical management, but proptosis was persistent and needed surgical intervention to prevent visual loss. Such a presentation of vitamin K deficiency has not been previously reported in the litera...

Persistent homology enables fast and computable comparison of topological objects. We give some instances a recent extension the theory persistence, guaranteeing robustness computability for relevant data types, like simple graphs digraphs. focus on categorical persistence functions that allow us to study in full generality strong kinds connectedness—clique communities, k-vertex, k-edge connect...

We show that filtering the barycentric decomposition of a Čech complex by the cardinality of the vertices captures precisely the topology of k-covered regions among a collection of balls for all values of k. Moreover, we relate this result to the Vietoris-Rips complex to get an approximation in terms of the persistent homology.

A model representing the bioaccumulation of persistent organic pollutants (POPs) in arctic terrestrial mammalian food-chains is developed, parametrized, tested, and analyzed. The model predicts concentrations of POPs in lichen, caribou (Rangifer tarandus), and wolf (Canis lupus) food-chains of Canada's central and western arctic region from measured concentrations in air and snowpack meltwater....

We study the homology of a filtered d-dimensional simplicial complex K as a single algebraic entity and establish a correspondence that provides a simple description over fields. Our analysis enables us to derive a natural algorithm for computing persistent homology over an arbitrary field in any dimension. Our study also implies the lack of a simple classification over non-fields. Instead, we ...

AIM Anticoagulation prophylaxis for stroke is recommended for at-risk patients with either persistent or paroxysmal atrial fibrillation (AF). We compared outcomes in patients with persistent vs. paroxysmal AF receiving oral anticoagulation. METHODS AND RESULTS Patients randomized in the Rivaroxaban Once Daily Oral Direct Factor Xa Inhibition Compared With Vitamin K Antagonism for Prevention o...

introduction: submucoperichondrial injection of botulinum neurotoxin a (bta) in the nasal septum is a promising therapeutic option in the treatment of persistent allergic rhinitis (ar) and non-allergic rhinitis, and is safer and more effective than intraturbinate injection in reducing clinical symptoms.   materials and methods: forty patients diagnosed with persistent ar or non-allergic rhiniti...