By a combination of variational and topological techniques in the presence invariant cones, we detect new type positive axially symmetric solutions Dirichlet problem for elliptic equation $$ -\Delta u + = a(x)|u|^{p-2}u an annulus $A \subset \mathbb{R}^N$ ($N\ge3$). Here $p>2$ is allowed to be supercritical $a(x)$ but possibly nonradial function with additional symmetry monotonicity properties,...

We present a novel circle detection technique based on the desirable properties of Gabor wavelet filters. We describe the technique and its Gabor wavelet origins, and perform multiple experiments using both synthetic images and real microscopic images of red blood cells. Our experiments show the proposed technique’s ability to detect single and overlapping circles, with improved results over tr...

  Annulus remodeling and stabilization with a ring is a necessary step in mitral and tricuspid valve repair to maintain effective leaflet coaptation and improve long-term results. Although conventional rings meet the basic needs of adults, they do not preserve the changes in shape and size occurring during the cardiac cycle, and do not allow growth of the native annulus in children. The bioring...

OBJECTIVE To evaluate the early results of a new method to repair malfunctioning bicuspid aortic valves by creating a tricuspid valve with a crown-like (i.e. anatomic) annulus. MATERIAL AND METHODS Twelve patients (ages from 10 to 27 years) with chronic regurgitation (and flow-dependent stenosis) of a bicuspid aortic valve underwent repair with the principle of creating a tricuspid valve and ...