We tested the hypothesis that TREK-1, a two-pore domain K channel, is involved with dilations in arteries. Because there are no selective activators or inhibitors of TREK-1, we generated a mouse line deficient in TREK-1. Endothelium-mediated dilations were not different in arteries from wild-type (WT) and TREK-1 knockout (KO) mice. This includes dilations of the middle cerebral artery to ATP, d...

We generalize a theorem of Burde and de Rham characterizing the zeros of the Alexander polynomial. Given a representation of a knot group π, we define an extension π̃ of π, the Crowell group. For any GLNC representation of π, the zeros of the associated twisted Alexander polynomial correspond to representations of π̃ into the group of dilations of C . A classic theorem of G. Burde, and independen...

Understanding the spatial dynamics of dilation in the cerebral vasculature is essential for deciphering the vascular basis of hemodynamic signals in the brain. We used two-photon microscopy to image neural activity and vascular dynamics in the somatosensory cortex of awake behaving mice during voluntary locomotion. Arterial dilations within the histologically-defined forelimb/hindlimb (FL/HL) r...

background: gastric outlet obstruction (goo) due to peptic stricture is one of three known complications of peptic ulcer disease and usually requires therapeutic intervention for symptoms relief. after benjamin sb who primarily used balloon dilation for treatment of goo in 1982, some series has been published investigating procedure efficacy with different results. the purpose of this study is ...

Fix 0<r<1. The dilation theory for the quantum annulus QAr, consisting of those invertible Hilbert space operators T satisfying ‖T‖,‖T−1‖≤r−1, is determined. proof technique involves a geometric approach to that applies other well known theorems. compared, and contrasted, with canonical operator annuli.

We generalize the Second Oversampling Theorem for wavelet frames and dual wavelet frames from the setting of integer dilations to real dilations. We also study the relationship between dilation matrix oversampling of semi-orthogonal Parseval wavelet frames and the additional shift invariance gain of the core subspace.

PURPOSE Exposure of organ-cultured lenses to Cl(-) channel blockers under isotonic conditions induces a localized cortical zone of extracellular space dilations. The purpose of this study was to investigate whether elongated lens fiber cells from this zone contain an anion conductance that mediates Cl(-) influx and whether two chloride channel isoforms known to be expressed in the lens (ClC-2 a...