A standard convexity condition on the boundary of a symplectic manifold involves an induced positive contact form (and contact structure) on the boundary; the corresponding concavity condition involves an induced negative contact form. We present two methods of symplectically attaching 2-handles to convex boundaries of symplectic 4-manifolds along links transverse to the induced contact structu...

We introduce two new classes of graphs which we call convex-round, respectively concave-round graphs. Convex-round (concave-round) graphs are those graphs whose vertices can be circularly enumerated so that the (closed) neighborhood of each vertex forms an interval in the enumeration. Hence the two classes transform into each other by taking complements. We show that both classes of graphs have...

A fast algorithm for computing longest common subse-quences. [J82] Johnson, D. B. A priority queue in which initialization and queue operations take O(log log D) Pattern recognition in nucleic acid sequences II: an ecient method for nding locally stable secondary structures. A simple linear time algorithm for concave one-dimensional dynamic programming. preprint, 1990. almost linear time algori...

OBJECTIVE To investigate differences in mucociliary clearance, histologic characteristics, and surface structure of the bilateral nasal septal mucosa in patients with nasal septal deviation. DESIGN Mucociliary transport was measured by saccharin clearance time in both nasal cavities of 20 patients with nasal septal deviation. Their septal mucosae were taken during septoplasty, and the ciliary...

Membrane-sculpting BAR (Bin/Amphiphysin/Rvs) domains form a crescent-shaped homodimer that can sense and induce membrane curvature through its positively charged concave face. We have recently shown that Arfaptin-2, which was originally identified as a binding partner for the Arf and Rac1 GTPases, binds to Arl1 through its BAR domain and is recruited onto Golgi membranes. There, Arfaptin-2 indu...

Latent variable mixture models are a powerful tool for exploring the structure in large datasets. A common challenge for interpreting such models is a desire to impose sparsity, the natural assumption that each data point only contains few latent features. Since mixture distributions are constrained in their L1 norm, typical sparsity techniques based onL1 regularization become toothless, and co...

An important new structure suggests the BAR domain is a membrane-binding module that can both produce and sense membrane curvature. BAR resembles a banana that binds membranes electrostatically through its positively charged, concave surface.