DSpace Community:
http://hdl.handle.net/2440/299
2016-12-08T04:04:37ZExtending holomorphic maps from stein manifolds into affine toric varieties
http://hdl.handle.net/2440/102867
Title: Extending holomorphic maps from stein manifolds into affine toric varieties
Author: Lärkänd, R.; Lárusson, F.
Abstract: A complex manifold Y is said to have the interpolation property if a holomorphic map to Y from a subvariety S of a reduced Stein space X has a holomorphic extension to X if it has a continuous extension. Taking S to be a contractible submanifold of X= Cⁿ gives an ostensibly much weaker property called the convex interpolation property. By a deep theorem of Forstnerič, the two properties are equivalent. They (and about a dozen other nontrivially equivalent properties) define the class of Oka manifolds. This paper is the first attempt to develop Oka theory for singular targets. The targets that we study are affine toric varieties, not necessarily normal. We prove that every affine toric variety satisfies a weakening of the interpolation property that is much stronger than the convex interpolation property, but the full interpolation property fails for most affine toric varieties, even for a source as simple as the product of two annuli embedded in C⁴.2016-01-01T00:00:00ZReflection and transmission of regular water waves by a thin, floating plate
http://hdl.handle.net/2440/102710
Title: Reflection and transmission of regular water waves by a thin, floating plate
Author: Nelli, F.; Bennetts, L.G.; Skene, D.M.; Monty, J.P.; Lee, J.H.; Meylan, M.H.; Toffoli, A.
Abstract: Abstract not available2016-01-01T00:00:00ZThe emotional arcs of stories are dominated by six basic shapes
http://hdl.handle.net/2440/102573
Title: The emotional arcs of stories are dominated by six basic shapes
Author: Reagan, A.; Mitchell, L.; Kiley, D.; Danforth, C.M.; Dodds, P.S.
Abstract: Advances in computing power, natural language processing, and digitization of text now make it possible to study a culture’s evolution through its texts using a ‘big data’ lens. Our ability to communicate relies in part upon a shared emotional experience, with stories often following distinct emotional trajectories and forming patterns that are meaningful to us. Here, by classifying the emotional arcs for a filtered subset of 1,327 stories from Project Gutenberg’s fiction collection, we find a set of six core emotional arcs which form the essential building blocks of complex emotional trajectories. We strengthen our findings by separately applying matrix decomposition, supervised learning, and unsupervised learning. For each of these six core emotional arcs, we examine the closest characteristic stories in publication today and find that particular emotional arcs enjoy greater success, as measured by downloads.2016-01-01T00:00:00ZSurface deformation and shear flow in ligand mediated cell adhesion
http://hdl.handle.net/2440/102489
Title: Surface deformation and shear flow in ligand mediated cell adhesion
Author: Sircar, S.; Roberts, A.J.
Abstract: We present a unified, multiscale model to study the attachment/detachment dynamics of two deforming, charged, near spherical cells, coated with binding ligands and subject to a slow, homogeneous shear flow in a viscous, ionic fluid medium. The binding ligands on the surface of the cells experience both attractive and repulsive forces in an ionic medium and exhibit finite resistance to rotation via bond tilting. The microscale drag forces and couples describing the fluid flow inside the small separation gap between the cells, are calculated using a combination of methods in lubrication theory and previously published numerical results. For a selected range of material and fluid parameters, a hysteretic transition of the sticking probability curves (i.e., the function [Formula: see text]) between the adhesion phase (when [Formula: see text]) and the fragmentation phase (when [Formula: see text]) is attributed to a nonlinear relation between the total nanoscale binding forces and the separation gap between the cells. We show that adhesion is favoured in highly ionic fluids, increased deformability of the cells, elastic binders and a higher fluid shear rate (until a critical threshold value of shear rate is reached). Within a selected range of critical shear rates, the continuation of the limit points (i.e., the turning points where the slope of [Formula: see text] changes sign) predict a bistable region, indicating an abrupt switching between the adhesion and the fragmentation regimes. Although, bistability in the adhesion-fragmentation phase diagram of two deformable, charged cells immersed in an ionic aqueous environment has been identified by some in vitro experiments, but until now, has not been quantified theoretically.2016-01-01T00:00:00Z