C3nr01219k 6985..6991

The Morse theory of \v{C}ech and Delaunay complexes

Given a finite set of points in Rn and a radius parameter, we study the Čech, Delaunay–Čech, Delaunay (or alpha), and Wrap complexes in the light of generalized discrete Morse theory. Establishing the Čech and Delaunay complexes as sublevel sets of generalized discrete Morse functions, we prove that the four complexes are simple-homotopy equivalent by a sequence of simplicial collapses, which a...

Al - Mg Systematics in a Cai from the Nwa 6991 Cv 3

Reduced linewidth multipolar plasmon resonances in metal nanorods and related applications.

Using dark-field scattering spectroscopy, we study the multipolar plasmon resonances in single crystallized silver nanorods. The lineshapes and homogenous linewidths of the surface plasmon resonances (SPRs) of different orders are analyzed and compared. The high-order resonances are found to sustain asymmetric Fano lineshapes and their linewidths are narrower than the dipolar resonance. A quant...

Common and distinct features of mammary tumors driven by Pten-deletion or activating Pik3ca mutation

PTEN loss and PIK3CA activation both promote the accumulation of phosphatidylinositol (3, 4, 5)-trisphosphate (PIP3). While these proteins also have distinct biochemical functions, beyond the regulation of PIP3, little is known about the consequences of these differences in vivo. Here, we directly compared cancer signalling in mammary tumors from MMTV-Cre:Ptenf/f and MMTV-Cre:Pik3ca(LSL-H1047R)...

Beryllium - boron systematics of two distinctive CAIs from CV 3 chondrites : the relatively pristine CAI B 4 from NWA 6991 and the FUN CAI CMS - 1 from