The application of a recently proposed denoising implementation for obtaining event-related potentials (ERPs) at the single-trial level is shown. We study its performance in simulated data as well as in visual and auditory ERPs. For the simulated data, the method gives a significantly better reconstruction of the single-trial event-related responses in comparison with the original data and also...

A spherical CR structure on the complement of the figure eight knot with discrete holonomy. Abstract We describe a general geometrical construction of spherical CR structures. We construct then spherical CR structures on the complement of the figure eight knot and the Whitehead link. They have discrete holonomies contained in P U (2, 1, Z[ω]) and P U (2, 1, Z[i]) respectively. These are the sam...

In this article we prove that every entire curve in the complement of a generic hypersurface of degree d ≥ 586 in P3 C is algebraically degenerated i.e there exists a proper subvariety which contains the entire curve.

We prove that the 82 link complement is the minimal volume orientable hyperbolic manifold with 4 cusps. Its volume is twice of the volume V8 of the ideal regular octahedron, i.e. 7.32... = 2V8. The proof relies on Agol’s argument used to determine the minimal volume hyperbolic 3-manifolds with 2 cusps. We also need to estimate the volume of a hyperbolic 3-manifold with totally geodesic boundary...

Another kind of dynamics: Ubiquitin noncovalently dimerizes with a dissociation constant of approximately 5 mM. The two subunits adopt an array of relative orientations, utilizing an interface also for binding to other proteins (see picture). Quaternary fluctuation among members of the dimer ensemble constitutes a different kind of dynamics that complements the tertiary dynamics of each ubiquit...

In macroevolutionary studies, different approaches are commonly used to measure phylogenetic signal--the tendency of related taxa to resemble one another--including the K statistic and the Mantel test. The latter was recently criticized for lacking statistical power. Using new simulations, we show that the power of the Mantel test depends on the metrics used to define trait distances and phylog...

Efforts to construct therapeutically useful models of biological systems require large and diverse sets of data on functional connections between their components. Here we show that cellular responses to combinations of chemicals reveal how their biological targets are connected. Simulations of pathways with pairs of inhibitors at varying doses predict distinct response surface shapes that are ...

We show that a superlinear boundary value problem has at least three nontrivial solutions. A pair are of one sign (positive and negative, respectively), and the third solution changes sign exactly once. The critical level of the sign-changing solution is bounded below by the sum of the two lesser levels of the one-sign solutions. If nondegenerate, the one sign solutions are of Morse index 1 and...

Complement-fixation inhibition test was adapted to the microtiter system. When cat and monkey non-complement-fixing antibody were used, the microtest was shown to be as sensitive as the conventional tube complement-fixation inhibition test.