In this paper we consider one-dimensional capillary redistribution of two immiscible and incompressible fluids in a porous medium with a single discontinuity. We study a special time-dependent solution, a similarity solution, which is found when the initial saturation is discontinuous at the same point as the permeability and porosity, and is constant elsewhere. The similarity solution can be u...

Failures of road embankments on discontinuous permafrost commonly occur during thawing of the foundation soil. As an approximation, weak zones created by thawing of discontinuous permafrost can be considered as ‘voids’ within the foundation. Geosynthetic reinforcements have been used to bridge these ‘voids’ and provide support to the embankment fill. This paper presents results of a numerical i...

We study a multiscale discontinuous Galerkin method introduced in [10] that reduces the computational complexity of the discontinuous Galerkin method, seemingly without adversely affecting the quality of results. For a stabilized variant we are able to obtain the same error estimates for the advection-diffusion equation as for the usual discontinuous Galerkin method. We assess the stability of ...

Discovery of discontinuous B-cell epitopes is a major challenge in vaccine design. Previous epitope prediction methods have mostly been based on protein sequences and are not very effective. Here, we present DiscoTope, a novel method for discontinuous epitope prediction that uses protein three-dimensional structural data. The method is based on amino acid statistics, spatial information, and su...

We compared the results of transoral excision of the primary tumor with discontinuous neck dissection with the results of in-continuity dissection of primary tumor and neck nodes in anteriorly localized squamous cell carcinoma of the oral cavity. We analyzed 27 patients who underwent 28 discontinuous dissections and 34 patients who underwent 40 in-continuity dissections for T2 anterior tongue o...

A diversity of protein surface discontinuous epitope mimics is now rapidly and efficiently accessible. Despite the important role of protein-protein interactions involving discontinuous epitopes in a wide range of diseases, mimicry of discontinuous epitopes using peptide-based molecules remains a major challenge. Using copper(I) catalyzed azide-alkyne cycloaddition (CuAAC), we have developed a ...

The present paper is devoted to the investigation of the properties of the space R of distributions with discontinuous test functions of several variables. The consideration of the discontinuous test functions allows us to define the correct operations (i.e., the operations which are defined everywhere, continuous and coincident with the ordinary ones for the regular distributions) of integrati...

An examination of prior Web pages shows that the typical university will sometimes make a discontinuous change to its Web site (i.e., a sudden, major shift in a Web site between two points in time). This study empirically examines reasons for such discontinuous changes, surveying university Webmasters at a variety of institutions where discontinuous Web site changes had occurred. Universities v...

In this paper, a central discontinuous Galerkin method is proposed to solve for the viscosity solutions of Hamilton-Jacobi equations. Central discontinuous Galerkin methods were originally introduced for hyperbolic conservation laws. They combine the central scheme and the discontinuous Galerkin method and therefore carry many features of both methods. Since Hamilton-Jacobi equations in general...